Universidad Politécnica De

Transcript

! &( ,! " #$ "% & ' )& #%'* $' +! ' -'' '+'$ . ' " #$ $/'$ ' ) !' '"' % $ #$ $! ' !""""""""""""""""""""""""""""""""""""""""""""""""""""""""" " " #$%%&' """""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""" () &* +""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""" , ! " " " " " " " " " " " " """""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""" #$%%&' """""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""" ! """"""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""" " ./$0 + 1 + 2&% # +3""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""" " 4& # # + 5 41&% %& + # 1 + -&% # + """""""""""""""""""""""""""""""""""""""""""""""""""" 6 " " 4& # # + # 1 + -&% # + """""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""" 6 "7 %$ %& + (8+&% + """""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""" 9 "9 ! : 1 + ! &# 1 +""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""" , " # + + %& & + """"""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""" 6 "; % # !2& <""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""" 7 ";" 4& # # + (8+&% + # 1 % # !2& <" """""""""""""""""""""""""""""""""""""""""""""""""""""""""" "= & %$& + # 2&% # +" 2 &># #&+4 +&' """""""""""""""""""""""""""""""""""""""""""""""" ; ", 1? -&% & @-&% + &4A """"""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""" 6 "6 - B ! """"""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""" 66 "6" +&+ +# &' &4 1 @-&% C * A """"""""""""""""""""""""""""""""""""""""""""""""" 67 "6" +&+ + &4 1 + # D )$ %&' @D A" """""""""""""""""""""""""""""""""""""""""""""""""" 6 "6"6 & # E 1""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""" 6; "6"7 +&+ # F % # % 24 @B A """""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""" 6= "6"9 +&+ +# F % # 24 # &' @ $ % & B& 1#G FF % +&+ A"""" 6= "6" +&+ # F % # 24 # &' - 1G! 2&% #$% @- 1G ! 2&% #$% B& 1#G FF % +&+ A """"""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""" 6, "6"; +&+ + # 1 - *&1&# # # 1 % + @D& < 1 % G- (&1& 5 +&+ G D - A """"""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""" 7 "6"= +&+ +# F % # 24 # $ &' - 1 H&# ! 2&% #$% @- !B I+A """"""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""" 7 "6", +&+ + - ! """""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""" 77 "6"," &+4 +& &* + - !"""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""" 77 "6"," &+4 +& &* + - !"""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""" 79 "6" 241&F&% # + # ( ) $&# """""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""" 79 "6" % &> %&' # 1 + 241&F&% # +"""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""" 7 "6" 1 %& + # 4 %& %$ # &4 1 + 241&F&% # + """"""""""""""""""""""""""""""""""""""" 7; "6" " J %& # +#$%%&' # +F %& @J A """"""""""""""""""""""""""""""""""""""""""" 7= "6" " J %& # 4 %& @J4A"""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""" 9 "6" "6 J %& #&+4 &(1 @J A """"""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""" 9 "6" 6 #&%& + # # 4 %&' % )$ # """"""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""" 9 "6" 7 + (&1&# # # $ 241&F&% # """"""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""" 9 "6" 7" + (&1&# # 1 # @%& %$1 # ρ A""""""""""""""""""""""""""""""""""""""""""""""""""""""""""" 99 "6" 7" + (&1&# # 1 + 1&# @%& %$1 # ρ A """"""""""""""""""""""""""""""""""""""""""""""""""""""""""""" 9= "6" 9 -8H&2 J %& &+4 &(1 @- H&2$2 * &1 (1 J & - JA """"""""""""""""""""" 9, "6" $&# # $ 241&F&% # """"""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""" 9, "6" " # 4 %&' 4 ( 1 $&# '4 &2 """"""""""""""""""""""""""""""""""""""""""""""""""""""""" "6" " & %$ F %& # $&# + """""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""" "6" ; % + # &+ : # $ 241&F&% # # -&% # + """""""""""""""""""""""""""""""""""""" 6 "7 B ! !"""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""" ; "7" % + # #&+ : # $ B&1 + # """"""""""""""""""""""""""""""""""""""""""""""""""""""""""" = "7" " +4 %&F&% %& + # 1 B&1 """""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""" , "7" " * +&' 4 &4 4 + ( ) 2 1&> # """""""""""""""""""""""""""""""""""""""""""""""""" , "7" "6 + 2 1&> %&' B %$ %& """""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""" ;6 "7" "6" B&1 4 + ( # % 1 2 +% % # + """"""""""""""""""""""""""""""""""""""""""""""" ;6 "7" "6" B&1 4 + ( # % 1? + # +2&+&' """""""""""""""""""""""""""""""""""""""""""""""""""" ;7 "7" "7 B&1 + # % ? + % 41 # +" ( %&' # 82 + 10% &% + ;; "7" "9 B&1 + # % ? + % 41 # +" ( %&' # 1 + 4 82 + F?+&% + # % # 1? """""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""" ;; 6 6" 6" 6" 6" 6" 6" 6" 6" 6" 6" 6" 6" 6" 6" 6" 6" 6" 6" 6" 6" 6" 6" 6" 6" 6" 6" 6" 6" 6" 6" 6" 6" ! ! K """"""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""" ;, ! K - B ! """"""" ;, " #$%%&' """"""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""" ;, " # # 4 1 &> %&' # 1 241&F&% # """""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""" = "6 1 %%&' # 1 + % F&%& + # F1 H&' # F$ 5% """""""""""""""""""""""""""""""""" =9 "7 &+ : # 1 4 # # 4 %&' # # # 1 241&F&% # """""""""""""""""""""""""""""" , "7" -0 # # 1? + # +2&+&' % ! $( 4 1 1 " """"""""""""""""""""""""""""""""""""" , "9 &+ : # 1 4 # # 4 %&' # + 1&# # 1 241&F&% # """""""""""""""""""""""""""""" "9" -0 # # 1? + # +2&+&' % ! $( 4 1 1 " """"""""""""""""""""""""""""""""""" " &+ : F& 1 # 241&F&% # """"""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""" ; "; 241 2 %&' B?+&% """"""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""" , ";" H4 %&' F&%< + J ( 5 F ( &% %&' """""""""""""""""""""""""""""""""""""""""""""""""""" "= !&2$1 %& + 5 8F&% + """"""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""" ", - #&# + 1 +"""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""" "," #$%%&' """""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""" "," - #&# + # 1 &> %&' 5 % +$2 # 1 +&+ """""""""""""""""""""""""""""""""""""""""" ","6 - #&# + # 1 + 4 82 + ! # 1 241&F&% # """"""""""""""""""""""""""""""""""""""""""""""""" ","6" # 4 %&' 1 # L! L"""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""" 6 ","6" # 4 %&' 1 + 1&# L! L """""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""" 7 ","6"6 82 L! L """"""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""" ","6"7 82 L! L @J %& # 1 241&F&% # AL"""""""""""""""""""""""""""""""""""""""""""""""" ; ","7 24 &* """"""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""" = " - #&# # 1 F % # $&# # 1 241&F&% # """"""""""""""""""""""""""""""""""""""""""""""""""""" 66 " %1$+& + 241&F&% # # $ 4 """""""""""""""""""""""""""""""""""""""""""""""""""""""""" 69 &+ : # $ 241&F&% # # # + 4 + """"""""""""""""""""""""""""""""""""""""""""""""""""""""""""""" 6; " # # 4 1 &> %&' """"""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""" 6= " &+ : # 1 ! $ # 4 @-8H&2 J %& A """""""""""""""""""""""""""""""""""""""""""""" 7 " " %&' # 1 BG69 76 % 1 # # 4 1 &> %&' """""""""""""""""""""""""""""""""""" 7 " " 1 %%&' # 1 + % F&%& + # F1 H&' """"""""""""""""""""""""""""""""""""""""""""""""""""""""" 76 "6 &+ : # 1 &2 4 @-? &2 $&# A """"""""""""""""""""""""""""""""""""""""""""""""""""" 7 "6" 1 %%&' # 1 + % F&%& + # F1 H&' # F$ 5% """"""""""""""""""""""""""""" 7= "7 &+ : # 1 # # # 4 %&' +&+ +""""""""""""""""""""""""""""""""""""""""""""""" 96 "9 &+ : # 1 4 # # 4 %&' # # """"""""""""""""""""""""""""""""""""""""""""""""""""""" 6" 6" 6" 6" 6" 6" 6" 6" 6" 6" 6" 6" 6" 6" 6" " &+ : # 1 4 # # 4 %&' # + 1&# """""""""""""""""""""""""""""""""""""""""""""""""""""""""" "; 241&F&% # F& 1 """"""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""" "= 241 2 %&' B?+&% """"""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""" "=" H4 %&' F&%< + J ( 5 F ( &% %&' """""""""""""""""""""""""""""""""""""""""""""""""""" ", +$1 # + # 1 + +&2$1 %& + 5 8F&% +""""""""""""""""""""""""""""""""""""""""""""""""""""""""""" " - #&# + 1 +"""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""" " " - #&# + # 1 &> %&' 5 % +$2 # 1 +&+ """""""""""""""""""""""""""""""""""""""" " " - #&# + # 1 + 4 82 + ! # 1 241&F&% # """"""""""""""""""""""""""""""""""""""""""""""" " " " # 4 %&' 1 # L! L"""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""" " " " # 4 %&' 1 + 1&# L! L """""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""" " " "6 82 L! L """"""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""" " " "7 82 L! L @J %& # 1 241&F&% # AL"""""""""""""""""""""""""""""""""""""""""""""" " "6 24 &* """"""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""" " - #&# # 1 F % # $&# # 1 241&F&% # """"""""""""""""""""""""""""""""""""""""""""""""""""" " %1$+& + 241&F&% # # # + 4 + """""""""""""""""""""""""""""""""""""""""""""""""""""""" ; ;9 ; ;, = =; =; == , , , ,6 ,7 ,= 6"6 ! K B ! """"""""""""""""""""""""""""""""""""""""""""""""""" 6 6"6" #$%%&' """""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""" 6 6"6" + ( %&' # 1 F&1 4 + ( ) M$&* 1 """""""""""""""""""""""""""""""""""""""""""""" 7 6"6"6 + ( 2 + 1 # # 1 F&1 5 1 + % F&%& +""""""""""""""""""""""""""""""""""""" 7 6"6"7 + 6 +< % 2 + 1 +F 2 %&' " + 2 1&> %&' B %$ %& """"""""" ; 6"6"9 + 7 ( 1 + &24 # %& + 4 &24 # % # 1? % 41 # 5 4 & # 11 + 1 &24 # %& % % ?+ &% """"""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""" = 6"6" + 9 ( 1 + 4 82 + F?+&% + # % # 1? @ %< 1 & $# 5 + 4 %&' 1? +A""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""" 6"6"; + !&2$1 1 % 24 2& # 1 F&1 """""""""""""""""""""""""""""""""""""""""""""""""""""" 6 6"6"= + ; 4 &2&> 1 #&+ : 4 1 1 + () &* + # + # +"""""""""""""""""""""""""" 7 6"6", + = %&' # 1 5 $ """""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""" 7 7" 7" ? ! """""""""""""""""""""""""""""""""""""""" , %1$+& +""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""" + B$ $ + """""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""" , J 6 B ! ! !B NNNNNNNNNNNNNNNNNNNNNNNNNN""" $! ' / & B& $ " G +4 % # # + 1 % 2 0 &% + """"""""""""""""""""""""""""""""""""""""""""""""""""""" 6 B& $ " G F& &%&' # 2 & $# + 5 # +% 24 +&%&' # 1 +& $ %&' 28+ 1 1 +$4 4 +&%&' # $ +&20 &% ( 5 $ &+&20 &% " """""""""""""""""""""""""""""""""""""" 9 B& $ " G6 #&F %& # 4 %& 1 @##4A 1 + % #$% + +'1 & + &# +& + # F& 4$ + +& $ # + 1 2&+2 41 +* + 1" """"""""""""""""""""""""""""""""""""" B& $ " G7 & %$& M$&* 1 # $ + %%&' 1 2 1 # 1? """""""""""""""""""""""""""" ; B& $ " G9 24 +&%&' 1 41 % 241 ) # 4 & # 1 +% +4 #& + # + 4 +& &* + 5 &* +" @(A + 4 &%$1 # L 28HL L 2? L""""""""""""""""""""""""""""""""""" B& $ " G !& $ %&' 241 # 4 1 %81%$1 # 1 &24 # %& # # # $ 1? O&@PA """""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""" B& $ " G; % %& # # # 1? + % %& %$& @O%%A %& %$& (& @O% A F$ %&' # Q1RP1S%""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""" B& $ " G= F % & * + # &24 # %& + # $ + %%&' # 1? # 1 & $# TS7"" 6 B& $ " G, &+ &($%&' # 1 241& $# @2'#$1 A # 1 +&' $ 1? % # + + %& & +"""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""" 7 B& $ " G ? -&% & """"""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""" 6 B& $ "6G 1 +&F&% %&' +&+ +"""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""" 67 B& $ "6G +&+ # -&% # + """""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""" 69 B& $ "6G6 J 2 ? # 1 + +&+ +"""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""" 69 B& $ "6G7 & 2 + +M$ 28 &% + # $ +&+ # $ &' (&4 1 """"""""""""""""""""""" 6 B& $ "6G9 +&+ # < )$ %&' F 2 # 4 2 & 1 + GJ 4GJ + 5 G J +" """""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""" 6; B& $ "6G $ * % % ?+ &% G # $ #& # E 1 """"""""""""""""""""""""""""""""""""""""""""""" 6; B& $ "6G; B # % 1 """""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""" 6= B& $ "6G= $ * % % ?+ &% + G # $ B " """"""""""""""""""""""""""""""""""""""""""""""""""""""" 6, B& $ "6G, - !B # J + """"""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""" 7 B& $ "6G $ * % % ?+ &% G # $ - !B # J + """""""""""""""""""""""""""""""""" 7 B& $ "6G + $% $ (8+&% # $ D - """""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""" 7 B& $ "6G $ * % % ?+ &% G # $ D - """"""""""""""""""""""""""""""""""""""""""""""""""""" 7 B& $ "6G 6 + $% $ (8+&% # $ - !B " """""""""""""""""""""""""""""""""""""""""""""""""""""""""" 7 B& $ "6G 7 - # + # F$ %& 2& - !B """"""""""""""""""""""""""""""""""""""""""""""""""""""" 76 B& $ "6G 9 & %$& 1' &% - !""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""" 77 B& $ "6G + $% $ + - !" """""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""" 79 B& $ "6G ; B& $ + # $&# 2? &2 + # 1 + +&+ + F$ %&' # 1 F %$ %& """""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""" 7 B& $ "6G = +M$ 2 1 # $ 241&F&% # # -&% # +"""""""""""""""""""""""""""" 7; B& $ "6G , $ # &4 1 241&F&% # % % &> # 4 +$+ 4 82 + ! """"""""""""""""" 7= B& $ "6G 241&F&% # # 2&% # + 5 % F&%& + # F1 H&' """""""""""""""""""""""" 7, B& $ "6G $ * +# %& % + """""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""" 9 B& $ "6G F&%& # F1 H&' # # # 1 241&F&% # """""""""""""""""""""""""""""" 97 B& $ "6G 6 F&%& # F1 H&' # + 1&# # 1 241&F&% # """""""""""""""""""""""""""""""" 99 B& $ "6G 7 +&+ 28+ # # # 4 %&' # + 1&# " """""""""""""""""""""""""""""""""""""""""""" 99 B& $ "6G 9 1 + # 1 % F&%& # F1 H&' # % M$ < % M$ LU& LR """"""" 9 B& $ "6G 1 + # 1 % F&%& # F1 H&' # % 4 1 + %$ 1 + 1 +&+ + + (1 """"""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""" 9; B& $ "6G ; 1 + # 1 % F&%& # F1 H&' # % 4 1 + %$ 1 + 1 +&+ + + (1 """"""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""" 9; B& $ "6G = F&%& + # F1 H&' # F$ 5 # + 1&# # 1 +&+ """""""""""""""""" 9= B& $ "6G , +% 24 +&%&' # $ %$ # &4 1 % F$ +& + # + + 5 $ %$ # &4 1 1&( # F$ +" """""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""" B& $ "6G6 241&F&% # # 2&% # + """"""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""" 6 B& $ "7G -8+% # $ %&' + ) """"""""""""""""""""""""""""""""""""""""""""""""""""""""""""" ; B& $ "7G "7G6-8+% # $ %&' + 1 """"""""""""""""""""""""""""""""""""""""""""""""""""" ; B& $ "7G7 "7G9-8+% # $ %&' + # """"""""""""""""""""""""""""""""""""""""""""""""""" ; B& $ "7G -8+% # $ %&' 1&2& ( # """"""""""""""""""""""""""""""""""""""""""""""""""""""" ; B& $ "7G; 82 + # 1 B&1 """""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""" = B& $ "7G= -8+% # $ %&' F&1 4 + ( # """"""""""""""""""""""""""""""""""""""""""""""""""" ; B& $ "7G, -8+% # $ %&' F&1 4 &4 4 + ( ) """""""""""""""""""""""""""""""""""""" ; B& $ "7G B&1 4 &4 4 + ( ) % ( (& + 5 % # + # +""""""""""""""""""""""""" ; B& $ "7G B&1 + # % 1 2 +% % # + 2 1&> # &24 # %& """""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""" ;6 B& $ "7G M$&* 1 %& # 1? # TS % %& %$& + # """"""""""""""""""""""""""""""" ;7 B& $ "7G 6 * + % 1? # +2&+&' 5 ( (& 4 1 1 """"""""""""""""""""""""""" ;9 B& $ "7G 7 * + % 1? # +2&+&' 5 % # + # + & """"""""""""""""""""""" ;9 B& $ "7G 9 * + % 1? + % 41 # + """""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""" ;9 B& $ "7G &4 4 + ( ) % ( (& + 5 % # + # +""""""""""""""""""""""""""""""""""" ; B& $ "7G ; &4 4 + ( ) % & * + + # #2& %& 5 % # + # + + & """"""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""" ; B& $ "7G = + 2 1&> %&' F %$ %& " + F&1 4 + ( # """"""""""""""""""""" ; B& $ "7G , B&1 4 + ( # % & * + + # #2& %& """""""""""""""""""""""""""""""""""""" ; B& $ "7G B&1 + # % ? + % 41 # + """""""""""""""""""""""""""""""""""""""""""""""" ;; B& $ "7G ) 241 + # (1 + 4 ( 1 + 4 82 + F?+&% + # 1 + 1? + 4 & # 1 + &24 # %& + 4 &24 # 1 1? % 41 # """""""""""""""""""""""""""""""""""""""""""" ;= B& $ 6" G (1 # 4 82 +!# 1 +&+ B69 76 4 4 %& # 4 1 F ( &% """""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""" = B& $ 6" G F&%& # F1 H&' '4 &2 4 ( 1 F& $ # $&# 2? &2 # 2& # + F %$ %& + % 1 +&+ B69 76" (1 4 4 %& # 4 1 F ( &% """""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""" = B& $ 6" G6 ? %$1 # + (&1&# # # B$ 5 ? %$1 + # $&# """"""""""""""""""""""""""""" = B& $ 6" G7 ? %$1 # + (&1&# # # """""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""" = B& $ 6" G9 # # 1&2 %&' $ 4 1 &> # """""""""""""""""""""""""""""""""""""""""""""""""""""""""" =6 B& $ 6" G +&+ B69 76 28+ 1 # # 4 1 &> %&' $ 4 1 &> # " """""""""""" =7 B& $ 6" G; ? %$1 # + (&1&# # # B$ """"""""""""""""""""""""""""""""""""""""""""""""""""""""""""""" =9 B& $ 6" G= ? %$1 # + (&1&# # # """""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""" =9 B& $ 6" G, +&+ B69 76 28+ # # 4 1 &> %&' % # % 1 + % F&%& + # F1 H&' # F$ 5# % % 1%$1 # +"""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""" =; B& $ 6" G () &* + # 1 4 &2&> %&' " """""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""" =, B& $ 6" G +&+ B69 76 28+ # # 4 1 &> %&' % # % 1 + % F&%& + # F1 H&' # F$ 5# % 4 &2&> # + """"""""""""""""""""""""""""""""""""""""""" =, B& $ 6" G ? %$1 # + (&1&# # # B$ 5 ? %$1 + # $&# """""""""""""""""""""""""""" , B& $ 6" G 6 ? %$1 # + (&1&# # # """""""""""""""""""""""""""""""""""""""""""""""""""""""""""""" , B& $ 6" G 7 4 # # 4 %&' # # """""""""""""""""""""""""""""""""""""""""""""""""""""""""""""" , B& $ 6" G 9 # # # 4 %&' # # # 1 241&F&% # # $ 4 """""""""""""""""" ,6 B& $ 6" G # # # 4 %&' # # &# 1"""""""""""""""""""""""""""""""""""""""""""""""""""""""""" ,7 B& $ 6" G ; # # # 4 %&' 1 # % 1? + # +2&+&' &# 1 + 28+ 1 # # 4 1 &> %&' """""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""" , B& $ 6" G = ) 241 # %81%$1 # #&2 +& + F?+&% + # 1 + 1? + % 14 2 V """""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""" ,; # B& $ 6" G , # # 4 %&' # # % 1? + 1 +""""""""""""""""""""""""""""""""""""""""" ,= B& $ 6" G 4 # # 4 %&' # ! 1&# """""""""""""""""""""""""""""""""""""""""""""""""""""""""""""" B& $ 6" G # # # 4 %&' 1 + 1&# % ! $(+ """""""""""""""""""""""""""""""""""""""""""""""" B& $ 6" G # # # 4 %&' # + 1&# % 1? + &# 1 +"""""""""""""""""""""""""""""""""""""" B& $ 6" G 6 # # # 4 %&' # + 1&# % 1? + &# 1 + 28+ # # 4 1 &> %&' """""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""" 7 B& $ 6" G 7 # # # 4 %&' # + 1&# # 1 241&F&% # # $ 4 % 1? + 1 +""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""" B& $ 6" G 9 241&F&% # # $ 4 % 241 """""""""""""""""""""""""""""""""""""""""""""""""""" = B& $ 6" G 241&F&% # # $ 4 % & D 1 + """""""""""""""""""""""""""""""""""""""""""" B& $ 6" G ; $ # # #&81 # 4 4& # # + # 1 2 +# 11 5 $ -&% C * FF&% " """"""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""" B& $ 6" G = 5 $ # 1 241&F&% # # $ 4 " !'1 % ( 5 ( # # 41 % " """" B& $ 6" G , 5 $ # 1 241&F&% # # $ 4 % % 24 +""""""""""""""""""""""" B& $ 6" G6 11 6 # 1 1 5 $ # 1 %& %$& """"""""""""""""""""""""""""""""""""""""""""""""""""" B& $ 6" G6 H4 1 5 $ """""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""" 6 B& $ 6" G6 H4 %&' F&%< J ( """""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""" 6 B& $ 6" G66 $ # # #&81 # & %$& 2 4 1 &24 %&' # %<&* + J ( """""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""" 6 B& $ 6" G67 $ # # #&81 # & %$& 2 4 1 &24 %&' # %<&* + &11 """""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""" 7 B& $ 6" G69 5 $ & %$& 2"""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""" 7 B& $ 6" G6 B F? # 1 241&F&% # # $ 4 #&+ : # """""""""""""""""""""""""""""" 9 B& $ 6" G6; B F? # 1 * + # 1 241&F&% # # $ 4 #&+ : # """"""""""""" 4 @ # 4 %&' A B& $ 6" G6= 82 + ! 5 ! # 1 241&F&% # # $ B %$ %& # "7 "77 JD>" !&2$1 %&' " """"""""""""""""""""""""""""""""""""""""""""""""""""""""""""""" 4 @ # 4 %&' A B& $ 6" G6, 82 + ! 5 ! # 1 241&F&% # # $ B %$ %& # "6 6 JD>" !&2$1 %&' " """""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""" ; B& $ 6" G7 82 ! # 1 241&F&% # # $ 4 @J %& A B %$ %& # "7 "77 JD>" !&2$1 %&' """""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""" ; B& $ 6" G7 82 ! # 1 241&F&% # # $ 4 @J %& A B %$ %& # "6 6 JD>" !&2$1 %&' """"""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""" = B& $ 6" G7 82 ! # 1 241&F&% # # $ 4 " B %$ %& # "7 "77 JD>" !&2$1 %&' " """"""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""" = B& $ 6" G76 82 ! # 1 241&F&% # # $ 4 " B %$ %& # "6 6 JD>" !&2$1 %&' " """"""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""" , B& $ 6" G77 B % # $&# 4 1 241&F&% # # $ 4 " B %$ %& # "7 "77 JD>" !&2$1 %&' """""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""" , B& $ 6" G79 B % # $&# 4 1 241&F&% # # $ 4 " B %$ %& # "6 6 JD>" !&2$1 %&' """""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""" B& $ 6" G7 # # 1&2 %&' $ 4 1 &> # """""""""""""""""""""""""""""""""""""""""""""""""""""" B& $ 6" G7; B F? # 2 #&# + # 4 82 +! 11 ( & """""""""""""""""""""" B& $ 6" G7= - #&%& + # 1 4 82 ! 4 1 241&F&% # # $ 4 " B %$ %& # "6 6 JD>"""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""" 6 B& $ 6" G7, - #&%& + # 1 4 82 ! 4 1 241&F&% # # $ 4 " B %$ %& # "7 "77 JD>""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""" 6 B& $ 6" G9 - #&%& + # 1 4 82 ! 4 1 241&F&% # # $ 4 54 * & + 4 1 &> %& + @ ##R "9 "9 "9 " 5 6 A" B %$ %& # "6 6 JD>" """""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""" 7 B& $ 6" G9 - #&%& + # 1 4 82 ! 4 1 241&F&% # # $ 4 " B %$ %& # "6 6 JD>"""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""" 7 B& $ 6" G9 - #&%& + # 1 4 82 ! 4 1 241&F&% # # $ 4 " B %$ %& # "7 "77 JD>""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""" 9 1 241&F&% # # $ 4 54 B& $ 6" G96 - #&%& + # 1 4 82 ! 4 * & + 4 1 &> %& + @ ##R "9 "9 "9 " 5 6 A" B %$ %& # "6 6 JD>" """""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""" 9 B& $ 6" G97 - #&%& + # 1 4 82 ! 4 1 241&F&% # # $ 4 " B %$ %& # "6 6 JD>"""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""" 1 241&F&% # # $ 4 " B& $ 6" G99 - #&%& + # 1 4 82 ! 4 B %$ %& # "7 "77 JD>"""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""" B& $ 6" G9 - #&%& + # 1 4 82 ! 4 1 241&F&% # # $ 4 54 * & + 4 1 &> %& + @ ##R "9 "9 "9 " 5 6 A" B %$ %& # "6 6 JD>" """""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""" ; 1 241&F&% # # $ 4 " B& $ 6" G9; - #&%& + # 1 4 82 ! 4 B %$ %& # "6 6 JD>"""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""" ; B& $ 6" G9= - #&%& + # 1 4 82 ! 4 1 241&F&% # # $ 4 " B %$ %& # "7 "77 JD>"""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""" = B& $ 6" G9, - #&%& + # 1 4 82 ! 4 1 241&F&% # # $ 4 54 * & + 4 1 &> %& + @ ##R "9 "9 "9 " 5 6 A" B %$ %& # "6 6 JD>" """""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""" = %< A """"""""""""""""" , B& $ 6" G 24 &* 4 82 ! +&2$1 # 5 1 @( # B& $ 6" G 24 &* 4 82 ! +&2$1 # 5 1 @( # %< A """"""""""""""""" 6 B& $ 6" G 24 &* 4 82 ! +&2$1 # 5 1 @( # %< A """"""""""""""""" 6 B& $ 6" G 6 24 &* 4 82 ! +&2$1 # 5 1 @( # %< A """"""""""""""""" 6 B& $ 6" G 7 24 &* 4 82 ! +&2$1 # 5 1 @( # + %< A"""""""""""""" 6 B& $ 6" G 9 24 &* 4 82 ! +&2$1 # 5 1 @( # + %< A"""""""""""""" 6 B& $ 6" G 24 &* 4 82 ! +&2$1 # 5 1 @( # + %< A"""""""""""""" 6 B& $ 6" G ; 24 &* 4 82 ! +&2$1 # 5 1 @( # + %< A"""""""""""""" 66 B& $ 6" G = B& $ # $&# # 1 241&F&% # # $ 4 " """"""""""""""""""""""""""""""""""""" 69 B& $ 6" G 241&F&% # # # + 4 + """"""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""" 6; B& $ 6" G # # 4 1 &> %&' $ 4 1 &> # # 1 +&+ B69 76""""""""""""""""" 6= B& $ 6" G6 B69 76 28+ # # 4 1 &> %&' """"""""""""""""""""""""""""""""""""""""""""""""""""""""" 6, B& $ 6" G7 B 69 76 28+ # # 4 1 &> %&' """""""""""""""""""""""""""""""""""""""""""""""""""""""" 7 B& $ 6" G9 B69 76 % # % % F&%& + # F1 H&' 4 28H&2 %& """""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""" 79 B& $ 6" G B69 76 28+ # # 4 1 &> %&' """"""""""""""""""""""""""""""""""""""""""""""""""""""""" 7; B& $ 6" G; & %$1 # + (&1&# # # F$ """"""""""""""""""""""""""""""""""""""""""""""""""""""""""""""" 7= B& $ 6" G= & %$1 # + (&1&# # # % """""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""" 7= B& $ 6" G, B69 76 % # % % F&%& + # F1 H&' 4 2? &2 $&# " """ 7, B& $ 6" G # # 4 1 &> %&' # +4$0+ # 1 4 &2&> %&' """"""""""""""""""""""""""""""""""" 9 B& $ 6" G & %$1 # + (&1&# # # F$ 5 %? %$1 + # $&# """""""""""""""""""""""""""""" 96 B& $ 6" G ? %$1 # + (&1&# # # % """""""""""""""""""""""""""""""""""""""""""""""""""""""""""""" 96 B& $ 6" G 6 +M$ 2 241&F&% # # # + 4 +"""""""""""""""""""""""""""""""""""""""""""""""""""" 97 B& $ 6" G 7 # 4 %&' 4 + # 1 241&F&% # # # + 4 +" """""""""""""""""""""" 99 B& $ 6" G 9 # 4 %&' 4 + $+ # ! $(+""""""""""""""""""""""""""""""""""""""""""""""""""" 99 B& $ 6" G # 4 %&' # 1 + 1&# # 1 4 &2 4 9 <2"""""""""""""""""""""""""" 9 B& $ 6" G ; # # # 4 %&' # + 1&# # 1 4 &2 4 9 <2 % 1? + &# 1 +" """""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""" 9; B& $ 6" G = # # # 4 %&' # 1 # # 1 + $ # 4 9 <2 % 1? + &# 1 +" """""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""" 9; B& $ 6" G , 4 # # 4 %&' & 2 #& 4 + # 1 241&F&% # # # + 4 + &241 2 # % 1? + &# 1 +" """""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""" 9= B& $ 6" G 4 # # 4 %&' & 2 #& 4 + # 1 241&F&% # # # + 4 + &241 2 # % 1? + 1 +""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""" B& $ 6" G 4 # # 4 %&' # # 1 241&F&% # # # + 4 + """""""""""""" B& $ 6" G 4 # # 4 %&' # # % + $(+" """"""""""""""""""""""""""""""""""""""""""""" B& $ 6" G 6 4 # # 4 %&' # # % 1? + # +2&+&' &# 1 + # 1 241&F&% # # # + 4 + """"""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""" 6 B& $ 6" G 7 4 # # 4 %&' 28+ # # 4 1 &> %&' " ? + # +2&+&' &# 1 +" """""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""" 9 B& $ 6" G 9 ) 241 # % 1%$1 # #&2 +& + F?+&% + # 1 + 1? + $+ # V # -&% C * FF&% " """"""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""" B& $ 6" G 4 # # 4 %&' # # % 1? + 1 + # 1 241&F&% # # # + 4 +" """"""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""" ; B& $ 6" G ; 4 # # 4 %&' # # % 1? + 1 + # 1 241&F&% # # # + 4 + # +4$0+ # 4 &2&> " """""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""" , B& $ 6" G = 4 # # 4 %&' 1 + 1&# # 1 241&F&% # # # + 4 +""""""""""""" ; B& $ 6" G , # # # 4 %&' 1 + 1&# % + $(+""""""""""""""""""""""""""""""""""""""""""""""""" ; B& $ 6" G6 4 # # 4 %&' 1 + 1&# """""""""""""""""""""""""""""""""""""""""""""""""""""""""""""" ; B& $ 6" G6 4 # # 4 %&' # + 1&# % 1? + 1 + # 1 241&F&% # # # + 4 +" """"""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""" ;6 B& $ 6" G6 241&F&% # # # + 4 + % 241 """""""""""""""""""""""""""""""""""""""""""""""""""" ;9 B& $ 6" G66 241&F&% # # # + 4 + % & D 1 +"""""""""""""""""""""""""""""""""""""""""""" ;; B& $ 6" G67 5 $ # 1 241&F&% # # # + 4 +" !'1 % ( " """"""""""""""""""""""""""""" ;; B& $ 6" G69 5 $ # 1 241&F&% # # # + 4 + % % 24 +" """"""""""""""""""" ;= B& $ 6" G6 &+ 6 # 1 241&F&% # # # + 4 +" """""""""""""""""""""""""""""""""""""""""""""" ;= B& $ 6" G6; 11 6 # 1 + & D 1 + 5 % 1 % %&' # 1 + % 24 +"""""""""""" ;, B& $ 6" G6= B F? # 241&F&% # # # + 4 + """""""""""""""""""""""""""""""""""""""""""""" ;, B& $ 6" G6, H4 1 5 $ """""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""" = B& $ 6" G7 H4 %&' F&%< J ( """""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""" = B& $ 6" G7 $ # # #&81 # & %$& 2 4 1 &24 %&' # %<&* + J ( """""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""" = B& $ 6" G7 $ # # #&81 # & %$& 2 4 1 &24 %&' # %<&* + &11 """""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""" = B& $ 6" G76 5 $ & %$& 2"""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""" = 4 + @ # 4 %&' A B %$ %& B& $ 6" G77 82 ! # 1 241&F&% # # # + # "7 "77 JD>" !&2$1 %&' """"""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""" = B& $ 6" G79 6" G7 82 ! # 1 241&F&% # # # + 4 + @ # 4 %&' A B %$ %& # "6 6 JD>" !&2$1 %&' " """""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""" =6 B& $ 6" G7; 82 ! # 1 241&F&% # # # + 4 + @ # 4 %&' A B %$ %& # "7 "77 JD>" !&2$1 %&' """""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""" =6 B& $ 6" G7= 82 ! # 1 241&F&% # # # + 4 + @ # 4 %&' A B %$ %& # "6 6 JD>" !&2$1 %&' """""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""" =7 B& $ 6" G7, 82 ! # 1 241&F&% # # # + 4 +" B %$ %& # "7 "77 JD>" !&2$1 %&' " """""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""" =7 B& $ 6" G9 82 ! # 1 241&F&% # # # + 4 +" B %$ %& # "6 6 JD>" !&2$1 %&' " """"""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""" =9 V B& $ 6" G9 82 ! # 1 241&F&% # # # + 4 + @J %& A B %$ %& # "7 "77 JD>" !&2$1 %&' """"""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""" =9 B& $ 6" G9 82 ! # 1 241&F&% # # # + 4 + @J %& A B %$ %& # "6 6 JD>" !&2$1 %&' """"""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""" = B& $ 6" G96 B& $ # $&# 4 241&F&% # # # + 4 +" B %$ %& # "7 "77 JD>" !&2$1 %&' """"""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""" = B& $ 6" G97 B& $ # $&# 4 241&F&% # # # + 4 +" B %$ %& # "6 6JD>" !&2$1 %&' """""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""" =; B& $ 6" G99 # # 1&2 %&' $ 4 1 &> # """""""""""""""""""""""""""""""""""""""""""""""""""""" == B& $ 6" G9 B F? # 2 #&# + # 4 82 +! 11 ( & """""""""""""""""""""" =, B& $ 6" G9; - #&%& + # 1 4 82 ! 4 1 241&F&% # # $ 4 " B %$ %& # "6 6 JD>"""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""" , B& $ 6" G9= - #&%& + # 1 4 82 ! 4 1 241&F&% # # $ 4 " B %$ %& # "7 "77 JD>""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""" , 1 241&F&% # # $ 4 " B& $ 6" G9, - #&%& + # 1 4 82 ! 4 B %$ %& # "6 6 JD>"""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""" , B& $ 6" G - #&%& + # 1 4 82 ! 4 1 241&F&% # # $ 4 " B %$ %& # "7 "77 JD>""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""" , B& $ 6" G - #&%& + # 1 4 82 ! 4 1 241&F&% # # $ 4 " B %$ %& # "6 6 JD>"""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""" , B& $ 6" G - #&%& + # 1 4 82 ! 4 1 241&F&% # # $ 4 " B %$ %& # "7 "77 JD>"""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""" , 1 241&F&% # # $ 4 " B& $ 6" G 6 - #&%& + # 1 4 82 ! 4 B %$ %& # "6 6 JD>"""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""" ,6 B& $ 6" G 7 - #&%& + # 1 4 82 ! 4 1 241&F&% # # $ 4 " B %$ %& # "7 "77 JD>"""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""" ,6 %< A """"""""""""""""" ,7 B& $ 6" G 9 24 &* 4 82 ! +&2$1 # 5 1 @( # B& $ 6" G 24 &* 4 82 ! +&2$1 # 5 1 @( # %< A """"""""""""""""" ,9 B& $ 6" G ; 24 &* 4 82 ! +&2$1 # 5 1 @( # %< A """"""""""""""""" ,9 B& $ 6" G = 24 &* 4 82 ! +&2$1 # 5 1 @( # %< A """"""""""""""""" , B& $ 6" G , 24 &* 4 82 ! +&2$1 # 5 1 @( # + %< A"""""""""""""" , B& $ 6" G; 24 &* 4 82 ! +&2$1 # 5 1 @( # + %< A"""""""""""""" ,; B& $ 6" G; 24 &* 4 82 ! +&2$1 # 5 1 @( # + %< A"""""""""""""" ,; B& $ 6" G; 24 &* 4 82 ! +&2$1 # 5 1 @( # + %< A"""""""""""""" ,= B& $ 6" G;6 B& $ # $&# 4 1 241&F&% # # # + 4 +" """""""""""""""""""""""""""""" B& $ 6"6G -8+% # $ %&' F&1 4 + ( # """"""""""""""""""""""""""""""""""""""""""""""""" 7 B& $ 6"6G -8+% # $ %&' F&1 4 &4 4 + ( ) """""""""""""""""""""""""""""""""""" 7 B& $ 6"6G6 (1 # < (5+< * 4 $ &> # # "9 # """""""""""""""""""""""""""""""""""""""" 9 B& $ 6"6G7 B&1 4 &4 4 + ( ) """"""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""" B& $ 6"6G9 B&1 4 &4 4 + ( ) % & * + + # #2& %& 5 % # + # + 4 1 1 " """""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""" B& $ 6"6G * + % 1? + # +2&+&' 28+ ( (& 4 1 1 """""""""""""""""""" = B& $ 6"6G; * + % 1? + # +2&+&' 28+ % # + # """""""""""""""""""""""""""""" = B& $ 6"6G= * + % 1? + % 41 # + # TS7 """"""""""""""""""""""""""""""""""""""""""""""""""""""" = B& $ 6"6G, B&1 4 + ( # % 1? + % 41 # + &# 1 +"""""""""""""""""""""""""""""""""""""""" , B& $ 6"6G !&2$1 %&' F&1 4 + ( # % 1? + % 41 # + &# 1 + """"""""""""""""""" B& $ 6"6G !&2$1 %&' F&1 4 + ( # % 1? + % 41 # + &# 1 + """"""""""""""""""" B& $ 6"6G 11 # 1 4 2 1& % 1% # !" """"""""""""""""""""""""""""""""""""""""""""""""" B& $ 6"6G 6 J 8F&% + 4 ( 1 + #&2 +& + # 1 + 1? + % 41 # + 4 & # 1 + &24 # %& + 4 &24 " """""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""" V B& $ B& $ 6"6G B& $ B& $ 6"6G 6"6G B&1 6"6G 6"6G 7 B&1 4 + ( # % 1? + 1 + +& 4 &2&> " """"""""""""""""""""""""""""""""" 9 B&1 % 1? + 1 + 4 &2&> # 5 % 40 #&# +"""""""""""""""""""""""""""""""" 1? + 1 + 4 &2&> # 5 +& 40 #&# + """"""""""""""""""""""""""""""""""""""""""""""""""" ; 5 $ B&1 """""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""" = 5 $ B&1 6 """""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""" V 7 9 ; V $! ' +"& (1 " G ! -&1& 5 2&% C * ( #+ """"""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""" (1 " G -&% C * F M$ %5 ( #+ """""""""""""""""""""""""""""""""""""""""""""""""""""""""""" 6 (1 6" G + (&1&# # # 1 +&+ F$ %&' # 1 * 1 # 1 % # + (&1&# # W""" = (1 6" G B % + # $&# 5 J %& 4 #&+ & + 4 1 &> %& + # 1 +&+ B69 76" (1 4 4 %& # 4 1 F ( &% " """"""""""""""""""""""""""""""""""""""""""""""""""""""" =6 (1 6" G6 !&2$1 %&' B69 76 28+ # # 4 1 &> %&' 5 % % F&%& +# F1 H&' < 11 # + ' &% 2 """""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""" == (1 6" G7 !&2$1 %&' B69 76 28+ # # 4 1 &> %&' 5 % % F&%& +# F1 H&' 4 &2&> # + 2 #& + F C """"""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""" , (1 6" G9 !&2$1 %&' # # # 4 %&' # # % 1? + &# 1 + # 1 241&F&% # # $ 4 """"""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""" ,9 (1 6" G !&2$1 %&' # # # 4 %&' # # % 1? + &# 1 + 28+ # # 4 1 &> %&' # 1 241&F&% # # $ 4 """"""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""" ,; (1 6" G; &2 +& + F?+&% + # 1 + 1? + # 1 # # # 4 %&' # # """""""" ,= (1 6" G= &2 +& + F?+&% + # 1 + 1? + # 1 # # # 4 %&' 1 # # +4$0+ # 1 4 &2&> %&' """"""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""" ,= (1 6" G, !&2$1 %&' # 1 # # # 4 %&' # + 1&# % 1? + &# 1 + """""""""""""" 6 (1 6" G !&2$1 %&' 4 # # 4 %&' # + 1&# % 1? + &# 1 + 28+ 1 # # 4 1 &> %&' # +4$0+ # 4 &2&> """""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""" 9 (1 6" G &2 +& + F?+&% + # 1 + 1? + $+ # V """""""""""""""""""""""""""""""" 9 (1 6" G 2 : # 1 + 1? + # +4$0+ # 1 4 &2&> %&' """"""""""""""""""""""""""""""""""" (1 6" G 6 +& + 5 % & + # 1 241&F&% # """"""""""""""""""""""""""""""""""""""""""""""""" (1 6" G 7 24 &* # 4 82 + ! +&2$1 %&' F 2 #&# + 1 + 4 1 F %$ %& % 1 # 7 "7 -D>"""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""" , (1 6" G B % # $&# 2? &2 5 %& F$ %&' # 1 4 1 &> %&' # 1 +&+ B69 76""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""" 6= (1 6" G !&2$1 %&' B69 76 28+ 1 # # 4 1 &> %&' " """""""""""""""""""""""""""""""""" 7 (1 6" G6 24 +# 1 #F 2 # 4 1 +&+ 28+ 1 # # 1&2 %&' # +4$0+ # 4 &2&> " """"""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""" 7 (1 6" G7 !&2$1 %&' # # +&+ 28+ # # 4 1 &> %&' 4 - J """""""""""" 7 (1 6" G9 !&2$1 %&' 4 2? &2 $&# """""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""" 9 (1 6" G !&2$1 %&' 4 2? &2 $&# # +4$0+ # 4 &2&> """"""""""""""""""""""""""""" 9 (1 6" G; !&2$1 %&' # # # 4 %&' & 2 #& 4 + """"""""""""""""""""""""""""" 9, (1 6" G= &2 +& + F?+&% + # 1 + 1? + # 1 4 # # 4 %&' & 2 #& """ (1 6" G, !&2$1 %&' # 1 4 # # 4 %&' & 2 #& # 1 241&F&% # # # + 4 +" """"""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""" (1 6" G !&2$1 %&' 4 # # 4 %&' # # % 1? + # +2&+&' &# 1 + # 1 241&F&% # # # + 4 + """""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""" 7 (1 6" G !&2$1 %&' # 1 4 # # 4 %&' # # % 1? + &# 1 + 4 &2&> # " """"""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""" (1 6" G &2 +& + F?+&% + # 1 4 # # 4 %&' # # % 1%$1 # + % V """""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""" ; (1 6" G 6 !&2$1 %&' # 1 4 # # 4 %&' # # % 1? + 1 + # 1 241&F&% # # # + 4 +" """""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""" = (1 6" G 7 &2 +& + F?+&% + # 1 + 1? + # +4$0+ # 4 &2&> """"""""""""""""""""""""" , (1 6" G 9 !&2$1 %&' # 1 4 # # 4 %&' # # # 1 241&F&% # # # + 4 + % 1? + 1 + + 4 &2&> """""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""" ; V (1 6" G !&2$1 %&' # 1 4 # # 4 %&' # # % 1? + &# 1 + # 1 241&F&% # # # + 4 +" """""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""" (1 6" G ; &2 +& + # 1 + 1? + # +4$0+ # 4 &2&> """"""""""""""""""""""""""""""""""""" (1 6" G = !&2$1 %&' # 1 4 # # 4 %&' 1 + 1&# 4 &2&> # """""""""""""""""" (1 6" G , 2(& 1 +* 1 + 2 1&> # + # 1 $ + % 24 + """""""""""""" (1 6" G !&2$1 %&' # 1 241&F&% # # # + 4 + """"""""""""""""""""""""""""""""""""""""""" (1 6" G +& + 5 % & + # 1 241&F&% # """"""""""""""""""""""""""""""""""""""""""""""""" (1 6" G 24 &* # 4 82 + ! +&2$1 %&' F 2 #&# + 1 + 4 F %$ %& % 1 # 7 "7 -D>"""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""" (1 7" G +$1 # + F& 1 + 241&F&% # # $ 4 """""""""""""""""""""""""""""""""""""""""""" (1 7" G +$1 # + F& 1 + 241&F&% # # # + 4 +"""""""""""""""""""""""""""""""""""""""""" V ;6 ;7 ;9 ;9 ; == 1 ,7 $ 141 $ ! ! 0) " 1 #$ 2 +3' , & #$ 14 + 4 5 % F& # % + 2 % # # 1 #&+ : # $ 4 M$ : #& 1 +% 4& 1 ( # # 7 -D>" 8+&% 2 $ #& 1 +% 4& + $ % 4 # #& F %$ %& 2&% # + M$ # ( $ 1 + +&(&1&# # 4 %&(& #0(&1 + + : 1 + 4 % # + # F$ # $ + 41 " % % 1 #& 2&+&' # 1 <&# ' 1 +% 4& M$ + 4 # #&+ : $ 1 2 2$5 ($ # ( ) 8 1 ( # # F %$ %& + # 1 + 1 H& + M$ 4$ (1 1 &* + " ! ( 2 + M$ 1 +4 %& 1 + + 11 + 5 1 H& + + 8 * %? " J 4 &* + F 2 4 # + 11 + 4 1 M$ + #&F?%&1 # * 2 #& + X2 #& & + 1 X + + M$ % 2 5 2 # +&# # 11 % %&# " $ + 1 H& % + & $5 $ Y # 1 2 + 1" 2 & # 1 &* 8 2 + @M$ +$4 4 8% &% 2 # ++ X 0%# +X 4 + & + 1 + $ + <&# ' & + + + 4 + + + 8 % 24$ + +$ $ ; Y # 1 2 + 8 2 + # < 1& " 1 + # +$ *&# &24 H% 4%&' 5 + 8 2(&0 1 4$ # % + #& + 2? + 4 4 %& 1 +< + + # + # 1 <&# ' 1 2 #& & # M$ + 2 + 11 4 # 1 + + 11 + + 0+ +" + + 11 + + 4 + # 4 #&F + % 2& > +$+ %%& + + 11 F& 1&> +$ *&# 4 2 # X2 #& 2 #& + 8 ? 1 + 8 &% % 4 + # +# $%1 + < + 8 # + " # 1 2 & # 1 1 +% 4& + '4 &% +" # 1 % +2 + 2 5 4 4 <&# ' " 1A + # + 1 2 " # 1 + 1 2 + 4 +4 + %& 4 $ + *&# % &#& % 24$ + 2 5 & & 2 4 + + # + '2&% 2 1 %$1 2& + 28+ # %$ # + 4 + 1 " , Y # 1 + 1 Y # + 2 + " 1 2 #& <&# ' " & &> # # 11 & + 1 X4 %&+ 2 1 2 & M$ F &2 2 1 %& # % 1 & 5 1 # +& 2 $ + 4 # ? &2 & " 1 1 # +$ *&# 1 2 2 # +$ %&2& % 2 1 + %$ 1 & 24 1 M$ + + %%& + 2& 2 # * # 51 1 2 #& & + 1 + 4$ # * % 2 1 +1 (' M$ 1 >1 1 + > + # +$ F 2 %&' " 2$ # $ + 11 1 2 H4$1+&' # +$ 2 & 1 1 2 #& M$ 1 # 5 + % 2 41 & " + 2 & 1 H4$1+ # 4 + 8 F 2 4 # 12 2 #& + 1 2 & 4 &2 # 1 M$ + F 2 8 1 +& $& +$1 %$ & + 4 + M$ 1 2 & M$ F 2 $ + + 4 4& + $#& E1 &2 F + # 5 ? # 1 +% +$4 * #& & + 1 %&' # + + %$ 4 + F$ $ + 11 % + + 4 + 4 1 % 2 ($1 + " +$ * > + 11 + 5 41 +" 1 $ * >4 # $ + 11 M$ 2$ &' < % 2&11 + # : +" # + 1 + 1 2 + H% 4 1 <&# ' < 1& + 4 #$% + M$ + % 4 & # %%& + $%1 + + 11 +" 5 1 2 + < #&%< $ ,9Y # 1 2 & # 1 &* + + <&# ' < 1& % 2 + 4$ # * 1 +& $& F F? # $ 1 H& 1 M$ + 4 %& 1 + $( + # <&# ' 5 < 1& F 2 # +4& 1" 1 <&# ' 2 1 %$1 2& # + 1 % 2 0 &% + 1 F %$ %& # 7 "7 9;9 -D> @ 2(&0 11 2 # 1? # 2&+&' # %2 # 1 <&# ' $ A %$ # +$+ 8 2 + 4 + # $ + # # 2 5 ? # 2 ? " + %$ %$ # 1 + &# # & @ Z [A # 1 1 % ' M$ (& 5 # 1 4 ' # 1 E%1 4 + # + 1& # + + + &# 4$ + 1 5 % 2 + 2$ + 1 F& $ " ! 1? % +& 4 % % &# # # ? 4 M$ $ 8 2 # <&# ' # %2" + +$4 M$ + 1? + % 8 0 &% +" + 1? + *&+&(1 2$%< + > + # 1 %& 1 # <&# ' 1 &* + " + 1? + 2$5 < (& $ 1 5 < & F 2 %&' % % # 1 2 #& & + 1 5 # 1 2 : 5 4 +&%&' # + H%& 4 2& & 1 + + F ? + M$ + 2$5 # 1 ($ # %& # 4 4 %& # 2$% # 1 + () + # $ + &* + " + # + # #& M$ + 11 # 1 &* + + & *&+&(1 + $ + + ) +" +4 11 M$ 1 + $#& # 1 &* + % #& 1 +% 4& + @1 #& + 2? A +$4 $ < 2& % 241 2 & 1 + 2? '4 &% % * %& 1" # 2 + # %& M$ + 2 + 2 #& %& + +& +'1 2& 2 + 1 &* + 1 '4 &% " 2 2$ + 1 +& $& F& $ % 2(& # 1 & F 2 %&' M$ + 11 1 + #&F + ( # + # 1 +4 % 1 % 2 0 &% + 4$ # ( $ % %&2& 2$%< 28+ 241& # 1 &* + M$ + # " B ! ! - 6 1 1 + M$ M$ 1 < + 1 +& $& 8F&% # 1 4 +$4 & # 1 F& $ 1 > ) & #&% 4 H&2 1 #& %&' + (+ (&# 1 2'+F 4 % # 1 & $# # 2'+F & 1 $ + X* +XM$ 4 2& 1 4 + # %& +$4 F&%& + " +* + 28+ &24 + + 1 + M$ (1 $/ !'& !' $! \6 '$ $ 4 % 4 (+ %&' 4 > G &+&(1 G % % D 5 2'+F 2 G, G9 2&% + =G 2&% + "6 %2G ",22 "=G " 22 "= "79 "69 %2G 2 ^ 2 6 +? * 2 + M$ 1 + E &% + 1 +% 4& + M$ '4 &% 1 $ + & +# 1& F ) 5 +$(2&1&20 &% +" +% 2'+F & #& # 2 1 + 1$ + # " 2 + 4 + 1 & $# + # # 4 % 1&+ # + 1 4 >' # + & %1$5 # 1 1 &20 &% +]2&1&20 &% + 2&1&20 &% + +$(2&1&20 &% + # #& (+ %&' 4 1 2'+F 1 & & $# + # + 1 + # 1 # 2&1&20 &% + 5 % % ?+ &% &24 # 1 + 1 +% 4& + + +$ 4 # # + 1$%&' @ A" _+ + 1 F %$1 # M$ & $ 1 +% 4& # 2 + %1 2 + 4 # + # + () + M$ + 8 )$ + 1 %& 1 " !$ 1 + H4 + # F$ %&' # 1 8 $1 2? &2 M$ # ( < ( # + () + 1 %& 1 4 M$ +$ &2 4 >% %1 2 + 4 # 7 = # θ 2& # + 1 8 $1 2? &2 M$ + 4$ # θ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`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o J& +% 4& " -&# o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− + 6 − − aaa + """ + −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b * + %< %" &+ : # 1 4 + 8# 1 " 1 +4$ + 1 + # F + + # ( 2 ) # 4 + 2&% # + # ( ) $&# " # 1 %& %$& 10% &% # 1 < 8 +4 %& 1 <& % 4&0 51 + # +# # 5 5 %& " + F& 1&> # ( ) $&# % 5 + % ( 8 4 %&' $+ # + $+ # $ # 2& # ! $ &# 5 "! + " # 1 + 1? + @&24 # %& % % ?+ &% 5 1 & $# 10% &% A @ %<$ 5 1 & $# F?+&% A 5 + +&2$1 8 4 # # @ A # 1 %& %$& 1" ! #8 %$ 1 + F % +# 1 + +? % 2 # (&# + 1 +$(+ "! $ " 1 +4$ + # 1 241&F&% # " + F& 1&> + < ( ( &# $ 241&F&% # % 1? + 1 + M$ 4 + 1 2? &2 $&# 5 1 %&' 4 +&(1 " ( %&' # 1 % 28+% # %& %$& &24 + 4 & # 1 %& %$& 1" + 1 5 $ + $ &1&> 8 4 F ( &% 1 + 1? + # 1 %& %$& &24 + $+ # $ 28M$& F + # #&+4 &(1 $ + +1 ( & + WB 2 S!" ! 5 & # 1 241&F&% # 5 # +$ " 24 %&' 1 4 # # " ! $ &1&> 8 $ 1&> # * % & 1 # # +2 4 82 + ! # 1 241&F&% # 5 $ 2 #&# # F& $ # $&# F$ # $&# 2 # 1 D 67 4 2 #& 1 F % # $&# # " # 1 + " +4$ + 1 5 1 + +&2$1 %& + # 1 D =; 7 ! 4 2 #& 1 + 2 # 1 D =,; $ &# $ 1 241&F&% # " &+ : # $ # 2 M$ + 4$ # $2 1 %& 24 1 F % # $&# " ! & #$%& 8 ' # 1 +# + 4 + 1&> 8 $ ' @ A % 1? + 1 +% % 1? + &# 1 +" ! 8 1 1 5 $ # 1 %& %$& 1 4 4 % # 1 F ( &% %&' 241&F&% # # # + 4 + $+ # 1 2&+2 % 1 ? M$ 1 241&F&% # # $ @1? + 2&% + &4 &24 + + + ( 1 2&+2 &4 # +$(+ A" ! +4 # 4 % # 1 241&F&% # 1 + +&2$1 %& +" # # + 4 +" , 24 %&' 1 +4$ + +& + 5 2 # 1 4 151 D 5 M$ < % M$ + B + #&+4 2 + $ + + 1 ( & + @+ F ( &% %&' 4 + # 2 #&# A 5 % 4$ # 1&> $ #&+ : # $ 241&F&% 4 &4 +$+% 4 &(1 # + 2 ) # " % % + ($+% F %$ %& # #&+ : 2 ) # 1 +% % $2 1 %& 2(&0 5 $ M$ 5 +&2$1 8 $ F&1 4 # # 2 + M$ % 1 + 2 #& + # 1 + M$ FC # +&2$1 %&' 2 & 1 + 5 2 M$& & # 1 + % %&2& + #M$& &# + #$ 1 % + # # ( ) $&# " + 4 &2 #&+ : + *& 8 % 2 M$ 1 241&F&% # 4 + ($ # 4 %&' 5 %& 1 ( # # 5% 1 2? &2 F % # $&# " ( ) +4 + & ++ < # 8 1 ?+ &% + # 1 241&F&% # + ( # 1 F 2& &2&> 1 $&# 5 # (&# +$ 4 %$1& &24 F$ %&' # # 1 #& 1 +% 4& " 4 & %&4& $ () &* # 1 4 5 % 4 + ( # # 2&% # + % # + #&+ : 8 4 &2&> 8 1 2&+2 F %$ %& " '& 841 $ ! #$ +# % 2 > % 14 + % %&2& + (8+&% + +? + % 4? $1 + 4 & %&4 12 Z ? B&1 + # -&% # +[" $ % + # #&+ : + + ( 1 + M$ + H4 # 8 + + # -&% # +[ 848 ' ) !' 84841 FG (& $ "& % +&+ 2 # % 2$ &% %& + 2 #&F&% %& + # +$ 241& $# F # % #&F&% %&' " + + : 1 + (& # $ % (1 5 1 % 4 %$ 1 + %$4 12 + ) & & # * %? A @& #$% % & + + + 1 2 %& + 5 +# $ 0) " 8 "" '# 4 # + % 4? $1 4 4 %& 11 % < 2 +( + # 4 1 1&> %&' # 1 4 5 % " % % 4 + (8+&% + #&*&#&# + + 2 + Z + 241&F&% # + # -&% # +[ 5 Z + $! & $! &H $ + : 14 # +& $+ &# 1 + ( 1 %$ 1 2 #& %$ %& F + + & #$% $ 2 + ) + E $ + 2 + +2& $ 4$ 1 ) 4 2 #& # # + 1 +4 %& 1&( + 1&> $ 4 % + & * + 1 # 1 +2&+ 2 #& 1 1" 4 % + + + $ &1&> #&+4 +& &* + 1 % ' &% + @ +&+ + #& # + $( + # + 4 +&* + M$ F % 1 241& $# # 1 + + : 1 + @ +&+ %& +A (& +$ F + % # + # +A <&1 + & + % #$% + M$ +4 1 +&' 5 1 + + 1 2 + +" # + + 1&> 28 + # @ #& #&F$+&' -A < + 1 & F ) *) @# +# # % + # 2 < %& + < + 1 1 *&+&' c 5 1 + ( # + M$ %$( # +# JD>R -D>A * A + 4 # + & < %& + < + + 4 + 01& 5 # +# 1 $ + `&1 < %& + 4 1 + ( # + # () % 1 #& #&F$+&' % # % + # & < %& + @ 1 # %%&' 2 #& 1 + #&F %& + 1 + 1&> %& + % 1' &% + # 1 + +&+ 2 + & + +$ + ( # # 1 + 28 + # F %$ %& 1 + %$ 1 + 4 " $ # % 2 > 2 + +$4 F %$ %& + # ( ) # # % + # 2 < %& + 4 % # F 2 4 +&* #&F&%$1 # + 1 + %$ 1 + +& + + & &2 + 1 + 1 2 + 4 +&* + # + % 1 + +& $& + o 1 % 24 2& # 1 + 1 2 +&+ %& + 2 #&F&% +$ * 1 5 40 #&# + # 1 + & #$% %& + + & % 1 2&+2 4 + % 1 + % # + # % +&+ %& 2$5 1 5 % %& o + # +F + + 4$ + #&F + + +'1 % + %$ %& # 1 + & #$% %& + 5 # 1 + % # + # + +& M$ < 5 M$ % +&# 1 & 24 M$ # 1 + + : 1 + 1 % 2 0 &% + 4 4 + # $ 4$ # 1 %& %$& " 2 + 4 4 %&' %2S+ @%$ + &' *0+ # 1 + % #$% + + 4 #$% 1 * 1 %&# # # 1 1$> %R6a + % % # + < (& $ 1 + % 2& H<&( $ 4 & #$% &* # * 2 5 +$ % %& * & # F + M$ 4$ # + 4 # 2 + % & #$% &* " > * & " + 1 % %& 1 + 2 &24 *&+&(1 c $ &24 # %& 1 #&+%$+&' # 1 %$ 1 + $ # 1 + 4 &2 % #$% # %2 # 1 & $# & #$% $ τ= + () &* + # # # = 66 6 + 4+ + 1&( A $ > # @ " G A 2 M$ +& R %2 & 1 F %$ %& # ( ) + ;9 -D>@4 ? # R R 66 +c 1 & $# # # RTR%a R7 %2A 1 # & #$%&# % +4 # $ %$ # 4 ? # @, dA + # %& 1 M$ % +4 # $ & #$% %& $ % # + # &# 1 +" + *&# M$ +'1 < 5 M$ % 1 1 + % #$% + 2 &%$1 + 2 +& M$ 1 + 2&+2 + % #$% + 4$ # # + 11 $ 4 4 1 % &* 1 %& %$& +&2&1 1 # 1 + 1 2 + % &* + % * %& 1 +" 2(&0 + *&# M$ + F % + 4 #$% %$ # 1 # 24& > + % 24 (1 % 1 4 ? # # 1 + : 1 @4 # 2 + # %& 2 5 M$ S A τ≥ , τ≥ , ≥ λ = 9λ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b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o $! & $ $ & !' $ '$ '" ', ! & %& # $ +&+ 2 #& @ A# 4 # # +$+ #&2 +& + 10% &% + + # %& # +$+ #&2 +& + 1 %&' 1 1 & $# # # " !& +$(&2 + F %$ %& 4 ) 241 1 4 + # #& F %$ %& 2&% # + 1 1 & $# # # #&+2& $5 " + &241&% M$ $ # $ %& #&2 +&' F?+&% @4 ) 241 $ 4 ('1&% # %2 # #&82 A & $ 2 5 2 : 10% &% %$ # +$(&2 + F %$ %& 5 M$ 1 1 & $# # # #&+2& $5 2& + M$ 1 2 : F?+&% 4 2 % & * & " + 2 + 4$ # 1&> + 6 # 2 5 F %$ %& + 4 %& 2&% # +% 2 ) 241 #& F %$ %& A" 2 : @M$ +& ( )8 2 + 2 + o 2 $ I !' + $! 2 & 2 + M$ + #&+4 +2& & $ + : 1 # -D>% 1 M$ + 4$ # 9 JD> 1 %< # ( # " + M$& # %& M$ o $&0 % 2$ &% &24 2& 1 4 # o $&0 '$ 0 " !' " %#&5' + 3 2 0 0 / #$ '$ ")$' ' E 4 %&' 1? % + 4 M$ 2&% # + 4 + H&+ F %%&' 1 4 + # $ 2 #& " 1 % 24 2& 1 +% 4 +( ) +# 1 2'+F + M$ ( ) F %$ %& < 5 4 % $ %&' 4 % F 2 $2 1 F %$ %& + 4 #$% $ + 28H&2 + 5 2? &2 + # (&# + 1 + % 24 + # 1 2'+F " + + 28H&2 + # $ %&' + 4 * % # + 4 1 *&( %&' # # 2& # + 4 ?%$1 + M$ % F 2 1 2'+F M$ # 2& # + F %$ %& + *&( 5 (+ ( ? # 1 # M$ 1 + 4 * % 1 *&( %&' " o o '$ %& + 4 + #&+ & 2& # $ &5' 5 ' '$ & !' % $! & + +& $ %&' @ 1 % + & + 01& A" + 2? 4 M$ + 4$ # 1&> 1 + + M$ % 24 1 +4 %& 5 +$+ %%& %& + +& # + 40 #&# + # + : 1 4 $' #$ $ " % ' E !& 1 F + & $ 1 1 F %$ %& # + +F %& # ? # 1 # + 4 4& # # # 1 + 2&% # +4 # ! 2= a #$ @# -D>1 2 = JD>1 2 = o !' " + 1& 1 1 #& + 1 2 + F %$ F %$ %& # 2&% # + 1 %< # ( # + 2 5 " # $ %< # ( # # $ Y+ ( $ 4 # 4 " !& 1 4 # + # 9 -D> 1 %< # ( # + 8 # 9 +2& & $ % 1 # " !& 2( +& 1 4 # + # 1 + : 1 + 8 # 9 JD>1 M$ 4 2& % 1 +# 2 5 F %$ %& 2 5 %< # ( # " $* $' # a a = 7 7a − −6 %$ %& # $ # M$ & %&# + ( $ 2 & 1 %& # + 2 & 1 % + + 4 #$% $ 1 + 4 ?%$1 + # + 2 & 1" 41&% %&' # ? + 1% 1 2& # 1&2 +" ? # $ − 9 + # F& # + & F %$ %& # $ 23 − 2 4 1 +& $& 1 %`A" !& 1 F %$ %& &> + 4 +& 1 F %$ %& #& %&' & &> ' '$ & !' & " #$ '& +"'&E 0 &% @4A @MA + = F ' ( % + ( 51 + # + ( 1 M$ 4 * % 3 + 4 2& 1 + 2(&0 + 2$5 F %$ %& + M$ + & %%& + $ %&' " %$ %&' + # 6 +# 6 " 1 % ' + 1 # # $ &* 1 @ " G6A %& + 2 & 1 + H&+ $ + &* 1 + # F %$ %& + 1 + M$ + 4 #$% 1 + +%&1 %& + M$ 4$ # + 2$5 4 %&+ +" ) 241 1 D&# ' $ 4 #$% +%&1 %& + 1 F %$ %& # 7 7 JD>1 M$ + # $ + +%&1 %& + 4 &'#&% + 4 %&+ +" + 4 4& # # + 2$5 &24 #& + 2? 5 M$ +& + % 4 $ + : 1 4 * & # 1 +4 %& $ # 2& # F %$ %& 1 ( # # 1 + 2&% # + + 4$ # &# &F&% M$ &4 # 2 & 1 < 4 * % # " o ' #$ ' !' ! / $!' A D 1 () &* # % 4 0 &% 2 2 5 F %$ %& + 28+ 1 +" + >' 1 + E&1 + F %$ %& + # 2&% # +" 7 $ # # + + + 8 28+ ")$' !' $ $&% & #$ !' " D&+ ' &% 2 1 ? # 2&% # + +$ 4 1 + +&+ 2 + $? # # + 5 % *&# # + + *0+ # +$ # +% &4%&' 1 % 2 0 &% % 241 1 1 % +&# # # # $ + M$ & &%& 12 # + # %& 1 % +&# %&' # 1 & 24 F& & M$ 1 + 4 4 4 + # $ 4$ % + & $5 1 + %& # (& 1 # # 2 & $ + 5 1 + % + %$ %& @ = 7A 1 4 4 %&' # 1 + +& + 5 % & + 4 # + <&1 2 + %&11 4 & # # 1 + % % 4 + 1 2 1 + # & + (1 %&' 4 4 &2 * > b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�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c + 2(&0 +$4 M$ 0+ + < # + % &# + 41 + ' + M$ + + <&4' +&+ &> 1 * 1&# ># 1 % % 4 # #&F M$ + $ % % 4 + 8 &% 4 +'1 +& + 1&2& 2 + # F& & 1 + %%&' +* + 1 B& $ " G6" F % + % + ( −( ! = 2a ! = − ∇+2 a e =+ ∂ ∂ 4a e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∂ ∂ $ = −@ $ A ∂$ ∂ ∂ ∂ $ = − @5 $ A ∂ ∂ M$ + 1 + %$ %& ($ ) " % +4 % +$ + M$ (& % + 1$%&' + 4$ # 4 >5 ∂ ∂ = −5 % ∂$ ∂ +4 % @$ A = % B 5 B F$ %& + (& ! = ∂ ∂ ∂ ∂ 1&2& 1 % = 5 # &* # # ($ ) 5 ∂ ∂ =− ∂$ ∂ @ " G A A @ " G;A #&2 +&' " !$ + 1$%&' $ @ − A+ & 2& +$1 $ @ + A 28+ 1 + # 1 F 2 @ " G=A & +" ,- & R& #$% %& S$ &# # # 1 R% 4 %&# #S$ &# # # 1 @ −$S A 4 + >% %& +" + 1 + &# & #&% # $=$ # 1 (+ * # @ " G9A 1&# # 1 % 24 " ∂ ∂ @ # + # $ # ) 241 ∂ − ∂$ M$ + 1 %$ %&' # @ f 1 2( ;7;A ∂ =− ∂$ ∂ = −5 ∂$ . & $# & $# $ # # +&' M$ + 4 4 % * 1 %&# # % 1 + &# # 1 + + M$& # %& M$ $ (+ * # M$ + # +41 > 1 1 # 1 1? % * 1 %&# # % 2 #& ? 4 2 2 $ +&' % + @ (%&+ + − @$ + A = − ; $ @ " G,A 4 1 2&+2 & 24 # + 1 + 4$ + # 1 1? H4 &2 1 2&+2 * & %&' # % $ + 2 5 1 + 28+ 1 ) # + + E 1 + $ % %& +" +&' 6 81 2 < (1 2 + # # $ # M$ + 4 4 + &# # 1 + $ 7 % 2 # % %& + # F 2 M$ %$ 1M$& 4$ # 1 1? %$ 1M$& & + 1 +&' 2 #&# + 1 +$2 # 1 + * 1 + # 1 + # + # +" ( + M$ 4 & # 1 + 2 #&# + 1&> # + $ + 1 41 # 1 1? + 4 +&(1 # 2& 6 5 7" + 1$%&' 4 + & & @ $ A + 4$ # 4 %&' % +4 % ! 4$ # % 24 ( 4 +4 % 1 & 24 A +$4 4$ + 1 1? 4 # 2 + @$A 4 $ @ − A− $ @ + A + @$A ∂ ∂ = −5 ∂ ∂$ +$+ & $%&' @ " G A M$ 1 % + $ @ − A= + $ @ − A= + @ # 4 +& &* A @ " G $ @ + A= − $ @ + A= − @ # @ " G A =8 @&24 # %& % M$ # + % # & + 5 % # 41 %$ # % 1 % * %&' # + + ?+ &% $ % & % & $ 2 %1 $ 28+ $+$ 1 + A <2& +A @ " G 6A − = + − + 8 @ @ " G 7A + + − A @ " G 9A 1 4 %& M$ + 4 4 1 1? &# + 5 % & + @B& $ " G7A * 1 @$ A = a = + 1 #&F &* A %&' @% % + = = % 4 %&' 5 # & 4 + $ + " "= 5 " " %& ∂ ∂ =− 5 $ ∂$ ∂ " "= 24 % # 4 # # $ 5 # 1 M$ 4 +%& #& 2 +" 5 + # %& 1 4 +$+ & $%&' # 1 & 24 5 @$ A = + H4 +& ( 8 @ + A −@ − A = %& # 1 + + %& # + % = + − 1 + − @ " G < %& 1 # %< A # + 4 +& &* 5 &* " # 8484> '- "'& '$ ! "'& % & $ %&' + % 0 &2 4 2 [& +&# " 1 % + &24 # 1? + H%& # + 4 # + 1 + + : 1 + + 8 # 1 F 2 9a @ + &φ ] &φ &φ % 241 ) 9a = 5a % 5 = 9a " + & F 2 %&' % + & @ 241& $# 5 F + A $ * >% + + % + " " 9 2 $ @ − A +( 5 81 2 − γ$ S= !& # γ = & 8 +( − (+ = &β @ γ R% + −γ $ & + γ$ +( − # 4 4 − 4 1 F 2 % 241 ) @4 +%& #& # # 1 F % (+ + φA E1 &2 % + % 241 ) % %&# 1 F %$ %& " $ & @ − A + # $ @ + A 4 % 2E ++ & &# 1 + %&' # 1 1 M$ # + 1 + 0 2& " " 7 5 +A @ " G ;A + γ$ @ " G =A β R% + %&' # F + #& + 4 + $ # A" # 4 +& &* 1 # 2& & # 1 & 24 + + 2 1 F 2 @ $ A =L ( + L +& @ − β$ + φ + A @ " G ,A L( + L +& @ 8 − β$ + φ + A @ " G @$ A = &φ + ( + =L ( + L + H4 +& + " " , 5 " " & #&% M$ 1 * 1 ) H4 &2 1 2&+2 &4 # * & %&' + &# +$ +%&1 %&' %$ 28+ 1 # %< + < 11 #&+ %& # + $ ∆$ + 1 & 24 M$ # ? $ (+ 1 * 1 %&# # 5 4 + >' + 11 2 # %< + * 1 %&# # * 4 + # 4 4$ + # F + 1? #&+ %& 2? &2 @λ A " *&# # + 4$ 2 βλ = π λ= 1*& # 1 + H4 " " ; 1 41 % @B& $ " G9A >' @% $ % %& A 4 H41?%& + # 1 1? + # %& M$ π = β @ " G A @5 1 % & A # + 1 + 4$ 1 1 + %$ 1 + + 8 28+ @$ 2 5 A" 1 + # + * # # +41 > + # $ @ 1 (+ * # M$ + # +41 @ω − β $ + φ + A � &% A" + 0 +& 24 @ " G +# 1 + # + 4$ + 4$ > 1 F + + 11 2 A +& + % 241 ) + " " ; 5 " " = # ( (+ * 241 ) # % 2 +$2 # # + * % + M$ # 6 g % # 1 & $# # # %$ # +2 1 M$ L L * & 8 $ 28H&2 %$ # , A + M$ 1 4 + %&' # & + &# + & #&% # + * 2 + 1 1 # 1 1? 2( + * % + + +$2 F + 4$ %$ * & &24 % @2&+2 #& %%&' A 5 $ 2? &2 %$ # 1 < + +A" 4 # 1 + +& + # 1 H4 +&' # L L + 28H&2 L L + 2? &2 5 *&% * + 4 1 8" % 1%$1 1 % +&# 2 + $ + %%&' # % * & %& # %& @ 1 % 241 ) A O " @B& $ " G A F& &2 + 1 # # + < 4 &# %$ (− (− = (+ (+ M$ F + @#& %%& + 2 #& 2 M$ 1 1 1 1? % # % $ % # # + 1 &β $ − &β $ =ρ &β$ @ " G 6A (− @>R A ρ @ A = ρ = + " ( 1 % ρ *1 ρ = 1 &24 # %& # 8 =8 ! 4 +&%&' # + % %1$5 & &24 # %& # 1 & $# 8 1 & # ρ @ $A % 2 + ρ @ $A = " " = M$ 1 1? + F&) /- " " 8 −8 8 +8 @ " G 7A # * 1 (+ (+ & − β$ − β$ +( − −( − " ! + β$ =8 + β$ $ =− " 0 1 * +" β$ β$ +ρ −ρ − β$ − β$ @ " G 9A " " 21 '32 2 .2 ! 4 M$ & & # " %$ " " " 65 8 =8 + H4 +&' + 28+ F8%&1 # % 2 + 4$ # % 24 ( #2& (+ * = λ + & + # (& $ <@γ + δ : A +& # : =: ! %& + " " " + $ M$& # # 1 + 1? +% @ " G A 8 8 <++ + <+ <&4 ('1&% # $ <% <% +$2 @ " G ;A H4 +&' � &% < δ: = : : +$ F$ %&' 4 &'#&% # 1 1 # %& M$ 1 &24 # %& # # $ +% &(& + 11 # 1 F' 2$1 # 1 M$ 1 &24 # %& > # 1? + 4$ # (5*6+ +% & # 1 F 2 +& $& <@ + + % A = 1 %& . 8 % + β − &8 +& β 8 % + β − &8 +& β <δ $ = # + " + + %&11 + 4 % # <@γ + δ $ A +& # 8 =8 ' # # 1 1? λ E2 %& %$& # + %& %$& @8 = A 8 = &8 @: = A 8 = &: " & (& β = &; β = &4 M$ + % $ & " & $# +&# # 4 & # * ? +& 0+ +4 %& 1 1 + &24 # %& + + +% + + @ " G =A @ " G ,A ! 78 . *5 + & + + % + + 1 + &24 # %& + +& 24 + E 1 1 & $# # 1 1? " ! 4 + (+ * + M$ 2( + %$ * + + + % &* 5 +$ % %& * ? 8F&% 2 1 B& $ " G; + � &% + H% 4 8 @β A = 8 β + 4 $ # +41 > 2& π H % 2 % %& %$& λ 7 1 1? +$ & * + " # 2 1 &24 # %& 1 % + # 1 1? *&+ < %& %& %$& ' + M$ 1 + +F 2 %& + # &24 # %& 1? 1 +& $ &1&> 2 + &24 # %& + 2 1&> # + 1 % 8 = 8 : = : = : π #& 1 # 1 + 1? + # F % % # * > M$ 1 # <@ β + δ 8 A <@ β + δ : A %< + π 7 @ " G6 A O % 2(& # 1 2&+2 + & $ A" +# +2&+&' % ?+ &% # 1 1? @ " G6 A +2&+&' # * >2 + F &# λ (& M$ 8 @ β A + 1 2&+2 M$ 8 @ β − 8 = # −∞ 5 +∞ # 28+ 4$ # # @ " G6 A + % %1$+&' + % + %$ %& # 1 4 4& # # 28+ % $ % 2 & * + + # &24 # %& + B& $ " G=" % # 2 + *5 + 9 :6 ; 2 $ +4 % 28+ ! 8484@ < $! & '& " $ & . ! =;, & $ # $ 1? 0 &2 + &# 1 + 8 H%& # +'1 $ # 4 +&* @4 +& &* &* A $ (+ * # 4$ # &# &F&% H4 &2 12 1 +& $ %&' % $ * 1 ?2 @M$ 2&# 1 241& $# 1* 1 F&% ># 1 +&' # < + 1 1 # 1 1? 1 1 %$ 4 2 % 8% + L ( @ $ A L=L ( + − &β $ L=L ( + L @ " G66A !& 2( 1 +& $ %&' 28+ 1 %$ # + 4 4 # 4 +& &* 5 &* < 2 + *&+ 1 48 F F1$% E $ * 1 28H&2 L( L M$ + 4 #$% %$ # 1 + * % "+ =L ( + L + L ( − L +(+ − &β $ 5 (− & 1? M$ +&2$1 8 2 1 2'#$1 # 1 $ +&' @ " G67A &β$ + +$2 L ( L 2& =L ( + L − L ( − L F + 5$ * 1 2? &2 @ " G69A λ M$ + 4 #$% )$+ 2 $ #&+ %& # 28H&2 % 2 4$ # % 24 ( + F8%&12 " G9 5 M$ % # * % #& +" 2 28+ 4 %&+ * > + +& $ %&' 7 4 π % # 1 # %< & # 1 & 1 &>M$& # # 1 +& $ %&' # 4 %&' 8F&% # 1 B& $ %$2$18 # + $ # +F + 1 6 # 2 + 1 &* # π ( @ $A = ( + +& # ρ @ A =L ρ @ A L [ − &β $ &θ + ρ@ A 5 L ( @ $ A L =L ( + L % &β $ ]= ( − &β$ + [ + L ρ@ A L + L ρ @ A L % +@ β $ + θ A +& $ %&' M$ + 4 + 1 B& $ " G, 5 1 M$ + !& (& $ # + %& & M$ # (& # F& &# 2 #& F1 H&' +$ 1 % % &> + 4 & # 1 % %& = ( ] @ " G6 A + %$ %& [ + L ρ@ ( &β $ + &θ AL "+ 2& ] @ " G6;A F &2 + % 2 1 2'#$1 # 1 % F&%& " # L( + L + L( − L +LρL @ " G6=A = + = − −Lρ L L( L − L( L # 2& # @ & 10+ ( ( & A %$5 2 & $# * ? 1 +* 1 + 4 $ 1? # 4 # @+& F1 H& +A ∞ +& 1 1? H&+ $ (+ 8%$1 M$ F1 ) # 1 ? & %&# ρ = " F %$ %& +$ * 1 + # # %&( 1& + @ %$0 # + M$ ! 4 + @ 4A = ! >% & 8484? " $ % %& 1 * & # +& @ " G6,A + & . !' % I H4 +&' " " M$ # 1 +F 2 %&' # &24 # %& + + 1 2 + # %81%$1 + +& M$ + # #&F?%&1 & 4 % %1$+& + + %&11 + +& %$ & %81%$1 + % 241 ) +" 5$# 4 4$ + 4 "D" !2& < ,6, % %&# % 2 % # !2& <" +% +& $ %& # 1 41 # OR h)V % 2 ( + 5 M$ * 1 + 4 8% &% + 1 % * & %& # $ &1&> 1 41 & 2 #& % +A 5 M$ &# + 1 1& + & F& & + # # % F&%& # + 1 + &24 # %& + @4 +&* +A 4 #$% & # $ %? %$1 # #& $ &# #" +F 2 %&' 7 1 1 %&' 5 8F&% # ρ < 54 # 1 1? 4 2& + % $ &1&# # + 1 5VF 2 4 # + # F1 H&' ρ + # + +8 8− 8+ ρ= 8= @ " G7 A ρ+ ρ− @ " G7 A @ ' + M$ + 241 &24 # %& + 2 1&> # + +4 % % 241 ) 8 = + & ; 4$ + # 1 41 % 241 ) ρ = %$ 1M$& %& %$ F %& %$0 # + M$? M$ 1 + 1? + < % & F& & " 4$ 1 41 8 + +F 2 + % + + $ % + 4 &%$1 +F 2 4$ + & % 1 +& $& %& %$ F # %& %$ F + # 1 41 4 4& # # %& 1 41 %& + %$ # +$ ρ" #& 1 # +F 2 %&' % 241 ) # 28+ & 1 4 4& # # # + % F 2 H% 4 + +& $1 +c + # %& +& # + %$ * + + % F 2 # $ %& 8 $1 1 41 O +$+ +F 2 # + + % F 2 # 1 2&+2 8 $1 2 & $# 5 + &# " % + $%%&' # 1 + 1? + # +&+ ρ @% # !2& 1 # %$ # % 1 41 1 + +& $& # + o %& %$ F %& M$ # # 2& # +& % % 2 + 6 4$ + # 11 " !& # 28+ 2 + & F 2 %&' +$41 2 & @4 ) 241 + % % 1 % 1 M$ + %$ +$ % A 1 E2 # 4$ + 4$ # #$%& + @4 ) 241 1 + # + & + %%& + % 1 % # 1 % M$ # 2& $ #&82 A" o # + 1 + 4$ ρ= " o + # 1 & F& & # 1 41 * 1 + # O +&20 &% + +4 % 2(&0 +&20 &% + +4 % # 1 ) # 8 = 8i ρ = 1 M$ + F& 1 1 ) # (+%&+ + + � &% ; →∞ (+%&+ + % 8 − 8i − = i = ρi 8 + 8 + +F 2 %&' # ρ= (+ * M$ = g" →∞ O@ %$ * + +&20 &% + % +4 % 1 ) 1 2&+2 +&2 ? " 4 &%$1 1 + 1? + # +&+ %? %$1 + ρ % $ #&82 + ( 1 ) 1 4 4$ + # 1 + %$ 1 + $ + ρ= " + # OA #2& −: +: O 2(&0 % %& % + 1 M$ +$ &# 2( +A % +4 # * 1 +4 # + # ρ @ " G7 A +4 # %$ * + ρ % O+ 8 +F 2 # + &F&% %&' +'1 M$& # + %& + @ " G76A 1 &24 # %& + H% 4 9 4 $ % 2(& # +& M$ +$4 $ & 8484?41 0 '! !'& +J& & !'" !' % I4 ! < *&+ M$ H&+ $ % +4 # %& (&$ # 1 + 4$ + # 1 41 # ρ 5 1 + # 1 41 4 &%$1 # ρ 1 % # !2& < + 4 4 1 +* 1 +% +4 #& +" %?4 % 2 A 1 2 11 % +4 #& % & %&# % 1 & # %$ M$ 1 #& # 1 % ?* % @ H% 4 4 1 + 4$ + # 1 & F& & A O # 2 M$ 1 +& $ %&' # $ * 1 %& 4 1 %$ + 1 + 2 11 + # 1? + # O 1 +& $ %&' # $ * 1 4 &%$1 # O @ # ρ + %& # M$ 4$ # 1 + H 2 # 1* % # !2& < + % 4 &F & # 1 % # !2& < + 8 2 % # # ++ H % # 1 + O ' + 1 + +& $& + 4 4& # # + (8+&% + > % +4 # ρ = +4 # % +&2 1 +" 5 M$ 1 1 M$ + F& 1 &24 # %& + & #$% &* + V^ 5 1 & F & " 4 +$4 & % 4 %& &* + V\ " " + +&+ %& + 2 5 + M$ 1 $ &# # ^ + 8 % &# + # # 1 %? %$1 # +&+ %& % + M$ 4 + 4 1 & " + E1 &2 @4$ R A+ % +4 # % 1 &24 # %& @ +&+ %& A M$ # 4 1 1? " 6" 1 % F&%& # F1 H&' # $ 1? * 1 ρ @ $A = ρ @ A &β$ @ " G77A M$ %$ # + 2 * 2 + 4 # 1 1? L @ $A L 4 2 % % + 2& + M$ +$ F + * ? 1& 12 % 1 1 & $# >' # $ %& %$ F %& % 241 @6 gA % # 2 #& 1 & $# # # " + 2 1* % 4 + &* # 1 % # !2& < & 4$#&0 # + 1 % # 2 2 1 &24 # %& O@>A + ( 1 2 11 # 1? + # 1 % # !2& <" (+0 * + M$ 1 + &# # & + 4 +& &* @ &< & A +& + 2 * 2 + < %& 1 # %< @< %& 1 % A5 &* @< & +& + 2 * 2 + < %& 1 &>M$& # @< %& # A" ' + M$ 1 4 &F & # 1 % # !2& < + 8 #$ # 2(&0 1 & $# + # # 5 M$ 1 + + &# + # & @ # 5% A + 8 2(&0 & #&% # +" 2 7" 1 + 4$ + M$ L L + 28H&2 1 * 1 28H&2 # # 4 8 @ $A % ( 8 + 5 =− = − 1* % 2 = L L + 28H&2 %$ # ( + F % =+ = "+ L L + 2? &2 5 1 &24 # %& ( 8 = − &β $ + +&+ &* 5 @ " G79A 5 (− &β$ + +$2 F + + +$2 4 +&%&' # F + 5 4 # %$$ * % M$ 8= + 5 % + − " O R @* 1 2 ( L( + L + L( − L = 8 = 8 = L( + L − L( −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c #&%< # 2 # 1 + F % + # # + 8 &# + %$ H%1$+&* 2 2 #& 1 4 + %& # 1? + # +2&+&' F 2 # 4 # 1 %& %$& % 2 4 +4 1 + + : 1 + # +# 1 %& %$& < %& 1 2&+2 " # # % * % H&' # 1 %& %$& % +2&+&' M$ + # 2& 8 F %& # # 2 #& 2 + 1 +% &(& 1 + 4 4& # # + # 1 & +& 1 #" & (1 + j & &k # 1 + M$ + 1 2 # +% &4%&' #2& %& + 28+ F %$ 1 H & + 1&> H%1$+&* 2 2 #& 1? + # %% + +" % # $ # + + 1? + + % + & F&) $ 41 + +& + 5 % & + j & & &R ""k M$ + *& 8 4 # %& %$& % 1 % * & # 2 % 2 4 +& &* 1 + 2 $ ## %% + + *& # +% & 4 1 + 1 2& # + & # 4 #& +" # 1 # + *0+ # +$+ 2 &% + # &24 # %& + m( l = m 8 lm = l @ " G7=A # m l 5 ml + %$ # # + H " +2 2 m = l = m: lm( l @ " G7,A m 8 l = m: l− @ " G9 A &% + % 1$2 @* % &% + mOl 5 m l F %$ %& + # 2&% " - #&# # &24 # %& 2$5 + +&(1 %% + " " 6" #&%& #&%& 1 % 2 +# % +A # #&2 +&' # +4 + # +41 > 2& @%"% 5 %" A #&F?%&1 + # % + # % 4 1& + + 4 M$ 0 &% M$ 4$ # # : M$&4 +" ; 5 mOl 5 m l 2 1 + +& $& + # 41 + $& +& % * & # F &% + + %& % # F %$ %& + # 2&% # +" F1 H&' # ? 41 +& % * & + & + + 1&2& + # F %& 4 # +% &(& 1 &* # +&' +& * ># $ &1&> 1 + +& + 5 % & + 1 + # $ &1&> 2 + 1 + 241& $# + # 1 + # + 4 +& &* 5 ( = ( + + ( − @ " G9 A = = : @( + − ( − A + 2 + #&+4 + # 4 + $& " " 2 + 2(&0 # $ % )$ % + & & 2 +% 2 +& * & (1 + j( + ( − # #$%& 1 + +& $& # + 4 +& &* + 1$ # 1 + # F& &# + 2 #& @ " G9 A + 5 % =( + = ! =( − = +% % # & + (+ 8 (− 8 & + + 2 < %& 1 ) 8 * 1 = : (+ @ " G96A = : (− @ " G97A =+ = 8 =+ =( + """> k " * & + %% + 1 + M$ + #& & #& = + #" 2 1&> # + @ " G99A = − = 8 = − = −( − @ " G9 A # 2 M$ c ( = : ( @ " G9;A = = 8 = + = − F$ %&' # L( + L = 8 L( − L = = 8 @ " G9=A L( + L = L( − L = + + * & (1 + # F& & 2 + 1 2 L L L! L &># #&+4 +&' = @ " G9,A @ " G A L!&)L 2 #& 1 1 %&' ! ! " = " !> > @ " G > > /$ 4 4 %& 1 + 241& $# + @ # 1 + 241& $# + 4 +& &* + & %&# %$ # % + !&) *& ! = = !& ( ( ?= @ ?≠ A & > 2 1&> # +A # 1 + +" 1 # F& &%&' 1 + 1 2 = >> = ?= @?≠ A ( ( A # + &* + F1 ) # + # # +4 − @ " G + + (?= A @? ≠ A − & @ " G 6A + + (?= @?≠ A % #&%&' `R 1 G0+&2 %% + + % +& $ 1 +& $ 2&+2 $ +&+ %& # * 1 & $ 1 1 &24 # %& % % ?+ &% # % #&%& + #& 2 + M$ 1 %% + G0+&2 + 8 2& # @ 2& %&' + +& ' &2 # % # 4 # $ 1? A % % 4 M$ # ( % F$ # 4 # M$ + * 2 + !``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≤ %A +$ 1 + & F & 1 4 4& 4 %&+&' # F ( &% %&' 5 1 H % & $# # 1 * 1 # 4 2& &*&# #" ε = 3@ε − A + δ =3 δ1 @ " " 9A + F& 1 % + # 1 1? &41 % 1 % )$ # %$ %& ε = 8 = 8 = @ ε + ε + 1 π δ @ " G 9A 1 #& 10% &% " $ %&' 4 #$%&# 4 + # %81%$1 % 241&% # 5 1 2& &2 +" + M$ # ε ε ε @ " G 7A 2& 2&% + &4 + 4 # %$# 1 F 2 − ε − =@ 1 1? 1 +% @ + + " 9 @ c c @ ≤ − 1 S@ = @ + "6,6 + " ! ;1 H4 @ + "777 c "7YA 6 @ ≥ + % 2 ! J%' D 2 < $ < 41 n b ? ). J%' & !'" & '& 0 #$ $ ! !'& 2& &*&# # 1 &* # 1 +$+ " G J + # 1 +$+ #& 10% &% j <5+" & +k J + # 1 % #$% 2 81&% " j <5+" & +k #$% &*&# # # 1 2 1 1 &* 1 % ( " G &1&> # + 1 4 %81%$1 + # 40 #&# +" $ +&# # # 1 +$4 F&%& # 1 2 1" j <5+" & +k * % $ # +*& %&' +4 % # 1 +$4 F&%& 2+ &# 1 M$ & % 2 1 + 40 #&# + 1 1? " # 40 #&# + # 1 #& 10% &% " G &1&> # + 1 4 %81%$1 + # 40 #&# +" %<$ # 1 % #$% 2 81&% j <5+" & +k & $# # 1 % #$% 2 81&% j <5+" & +k 6 6 849 %0"5 ! '& & #$%%&' # 1 # #$ 1 J$ -$ #& 1 4 4 %& ' 1 4 &2 41&% %&' +& &F&% &* M$ M$& &' 1 241&F&% %&' # + : 1 + # 2&% # +" -8+ %& 2 1 * 1$%&' # 1 + % 2$ &% %& + & 182( &% + < % +& # $ ( 2 # 1 + 241&F&% # + # 2&% # +" + 4 &2 + 241&F&% # + # 2&% # + F$ $( # # + 4 +&* + @ b A 5 1 2 +'1&# # 2& 1 241&F&% %&' # 2&% # + 1&# 2$5 1 + @^ bA" 28+ % 2E # 2 ' # 79 JD> , b $+ # 4 2&% # + % $ % + 4 H&2 # # o & $ 1 " 1 # 1 + +&+ +# 1 F 4 %& # b 5 $ % + # o 9 & $ 1 + $( + # * %? 1 + % 2 1 `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b&11& 2 !< %`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o ? # + + 4$ # + % # F 2 41 @B& $ "6G A 5 1 2 5 ? # $ % &> # # 1 +& $& 2 B& $ "6G6 #& & # o !$4 4$ + o - &>@- 11 )&11 2&+ ! B& $ + "6G7 2$ + 1 + #& A $ $@ . 2 + +M$ 28 &% + # $ 69 +&+ # $ &' (&4 1 " ! $ ,% ! ' & " 1 +&+ (&4 1 &4 4G G4 + $ + $% $ % 241 2 & # 1 G4G 1 # & % 2(& # 4 4 5 4 4" 1 # &4 4G G4 (8+&% 2 + F ( &% # 4 &2 F 2 # $ % 4 # 2 & 1 &4 1 +$+ &4 4 5 1$ $ % 4 &4 4h + % 1 % # 1 % 4 " 84948 $& & '& 0 " '& !'7'' 3 $ #$ A7 D4 + +&+ + (&4 1 + 4$ # + % + $&# + # < 2 )$ %&' % 2 # < )$ %&' " $ # 1 $ &' # 1 +&+ + 4 % % # + 2 & 1 + +&2&1 + 4 ) 241 !&1&%& G!&1&%& J 2 & GJ 2 & + #&% M$ 1 +&+ + # < 2 )$ %&' 5 1 +&+ # < )$ %&' + M$ 1 F 2 # 4 1 $ &' # # + 2 & 1 + #&F + 1 + % 2 J 2 & G + &$ # J 1& " $ # $ % )$ # % 1# + % F 2 $ +&+ # < )$ +& 1 + % 1# + + # +& $ 1 + 4$ # # 1 4 %&' # 1 < % $ 12 1 J 2 & $+ # + 4 + $% $ + # @9" 7 p 4 1J 2 & 4$ # + &4 4 &4 # + + # # + 2 & 1 + + 2&% #$% + + $ &# + 4$ # %&' " + + % #&%& + # % 1# + 2$5 &24 + 4 M$ # & #$%& $ E2 # + # + # & F %& 5 )$ %&' " @J A 5 1 + &$ # J 1& @J +A + 1 + # + 2 & 1 + 2 + < )$ %&' 4 M$ +$+ % 1# + % + + % & %&# $ ,,Y 5 9" 96 p 4 1 + &$ # J 1& A" +# % +% # 2 & 1 # 1$ %$ 4 +&(1 % 2(& %& + o &' 4GJ 4GJ + o &' 4GJ GJ + o &' GJ 4GJ + o &' GJ 4GJ + 6 ! 84949 $/ ! A 0 & " @ (" @ B K$'" +4$0+ # 1 4$(1&% %&' # 1 %18+&% # %$2 # %& 1 # 1 + #& # + # E 1 4 41&% %& + + # ,9= 1 + % % ?+ &% + 2 1 + # 1 2$%< + %& ?F&% + 4 + + & $1 &# # + F$ %18+&% %$ %&' # #& # +" + `& +& 2( # +% 1 41&% %&' # $ ? %$8 &% # E 1 +" 1 F # 1 +4 # +" 4 + `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p +& 5 + 1 +& + + 1 #& # E 1 + $+ # +%&1 # + # 2&% # + 5 241&F&% # + 4 M$ +&+ %& &* % % ?+ &% 1 &' 1 4&% # % & & %$ * % % ?+ &% G + 2$ + 1 B& $ "6G " *" ! $ 4- . 6; 1 C ,9= 1 + (1 %&# " * # + 4 + $? 1 + 2 #& $ F % 1 #& # 2$ + 4 5 1 * 11 # 8494: $& & !''5' !' %0 A D +4$0+ M$ !< %`1 5 5 +$+ % 1 ( # + & * 1 +&+ ,7= 01 4 4$+ $ $ * &4 # +&+ # F % # % 24 @B& 1#G FF % +&+ G B A % #$% &*&# # # $ % 4 # 1 % #$% 2 #$1 # 4 $ % 24 10% &% * + ( " $ +&+ % * %& 1 2( + 4 # + 2 5 & & 2& & & + & * 1$% # +c # +# % + + &4 # +&+ ++ 1 < # +&+ (&4 1 " $ +&+ # F % # % 24 1 F1$) # % & + +4 4 1 +4 # + 2 5 & & +c + + + 1 + 4$ # 11 2 +&+ + $ &4 1 +" 1 1 + +&+ +&+ # F % # % 24 + (&4 1 + M$ + 1 +&+ 5 + ++ o o o o o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`1 5" 1 B& $ "6G; + 2$ + +M$ 28 &% 5 $ #& 2 +&2('1&% # $ B # % 1 " ! $ 7D 6= $ $ # $ &' 4G " M$ 1$ + A" 1 B 1 #& 2 1 2 & 1 &4 + %$ #&+4$ + # + % 4 + # 2 & 1 &4 4 1 2 # 4 # @# +& # % 2 4h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qb @ b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h +&+ $ 1 2 F h M$ % E % 2 F$ @! $ % A 5 # # @ & A + %$ "9 q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o %&' 4 3 %& # 1 % M$ 1 % o $ * 1 ) % 1" o + 41&% # 3 1 % 24$ 1 % 24$ ! 1 - !B ) ++ ( o 1 4 " 4 1 % 24$ & #$%& H 5# % 1 + 2$5 ( ) 5 + 1 % #$%%&' " > 41&% # &* # ( + o 41&% # f+ # % > % 24$ +% 1 % #$% % +& $ * 1 ) 4 +& &* 4 * 1 + - !B > M$ > 1 +4 1% # > < !& H&+ 4 H >< +# 1% $ , 1 + $ # 1 * 1 ) # % #$% + # %& + M$&1&( & 1 + 4 < * 1 ) #$>% " 1% 145+ + # 1% 1 + # 1 &* # ( * 1 ) 4 +& &* # ( + 1 5 &+1 1 " F + F %$ 2 $+ # % 2 241&F&% # 1 + - !B f+ 5 1 + B f+ 5 11 + + 1 # 4 %& 5 M$ F % # + &' % &* # $ - !B 2 # # &M$ %&2& 1 % 4 %& %& # # 5 1 +% #$% %& + % +& & # 4 #& # 1 * 1 ) # 1 % 24$ 5 1 % 4 %& %& # + 1&# + & # 4 #& # 1* 1 ) # 1# # " + 4$ # 4 * $ 4 %& # 241&F&% %&' 2$5 1& 1" 76 o 1 # * 1 ) % &* # 1 % 24$ 4$ # + 2 5 4 M$ 1 + - !B f+ # % 1 2 # # * %& 2& 4$ # 4 # +# 1 &' # 2 # # * %& 2& @G A 1 &' # 2 # # &M$ %&2& @h A" 8494< $& & '& 2 + * 1 F& $ 2 + # + %$ %& %$ # # + 4 % 24 + &+1 + & #&*&#$ +&+ + - ! < 4 2& &# + 2&% #$% M$ $ +&+ $4 + o 1 - !B # % o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r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s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o + 4 82 o 2 12 + ! # 4 # 8 # 1 4$ ! + o + 4 +&* L!&)L 4$ # + 1 1 + +& $& # 4 1 &> %&' +4 &%$1 &# # + B$ %& 2& " ! t o o % &* 4 + %?4 % ! t! + ^ 4 +&* 5 +& 40 #&# + %$241 $ & & # # + ≠ 4 &2 % + %$ %& + M$ 1 + ! ! t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ρ$ ρ 6 A D 6=1 6 6=8 / ρ& ! % + # F& % ρ $ >- " 2& # 1 %$ # &4 1 1 + + 1 %& + # 4 +#$%%&' J %& # o J %& # o J %& # % " " ' & %$ %& +& $& + +F +$ % 4 %&# # # 241&F&% %& @J A" %& @J4A" &+4 &(1 @J A" + 4 5 % + 1 2 + F 2$1 %&' # 1 + + # +" +1 H 1 % 24 2 12 o 84941841 " $ $ 1 %&' % # 1 % +& !' % $&! % 1 4 &2 #$ !' 1 4 %& # 1 % # # 1 %$ # &4 1 c # 4 # , = # +4 $&5' '$ A 1 M$ + 2& & 8 1 D O 51 4 %& #&+4 &(1 # 1 # 1 %$ # &4 1 % 2 # O! 5 O = 1 + 1&# #&+4 &(1 # 1 # 1 + @ "6G # A # c , + (& # M$ ρ , = = + = − = L L @ − L ρ L A@ − L ρ L A L @ − ρ ρ A@ − ρ ρ A L ρ ρ 5 ρ L L@ −ρ a = + − @ "6G A ρ 1 %$ %&' ρ L a@ − L ρ L Aa@ − L ρ L A Aa@ − ρ a A − a aρ aρ L '2 + 4$ # 4 %& 1 + %$ %& + 1 %& # # 1 ## # @ ρ A % 2 # 1 # + 1&# @ ρ A" 7= +F %& # & M$ # @ "6G6A # # 4 # 8 ! (+ * 1 %$ %&' "6G6 M$ +& + ($+% $ #&+ : % 1 M$ ( 1 -8H&2 i +F %& # %& @- A @J 28H&2 A + # ( 8 %$241& M$ ρ = ρ 5 ρ = ρ i " 1 + # 4 %&' % )$ # + $+ $ + # + # # 4 %&' 1 # 5 1 + 1&# # 1 +&+ 1 5 % 2 + 2$ + 1 B& $ "6G " ρ ρ$ 6= !0 #$ $ ! !0 #$ "! $& & ρ ! 1 # 4 %&' ρ $ ?B " 3& 1 #&+ : # $ 241&F&% # # 5 1 + 1&# " 1 6= # 4 # + # %$1 #&+ : # +$+ # + # # 28+ < 5 M$ M$ +& + %$241 1 + % #&%& + 4 @ ρ = ρi 5 ρ = ρi A 1 241&F&% # 4 + 8 +$ # 5 +$ + 1&# $ # 4 %&' 4 F % +4 % # 1 F$ 51 % # O @! R 5 ! R A" %JM% / $ $ ! &0 $ +" '@- H&2$2 * &1 (1 J & - JA + # F& % 2 1 %& # +#$%%&' % #&%& + # # 4 %&' % )$ # +&2$1 8 # 5 + 1&# " ! 4$ # 4 %& 1 #&F&%$1 # # + 1* 1 %$ %&' "6G6 +$+ & $5 # 4 1 + * 1 + # i ρ = ρ 5 ρ = ρ 5 M$ ρ 5 ρ # 4 # # 1 + # + # # 4 %&' @ ρ 5 ρ A" + 1$%&' + M$ 11 M$ 1 %$ # &4 1 241&F&% # 4 + 1&2 %&' & @! R A" 1 M$ M$ # 8 M$ ρ = 5 ρ = " + % + 1 H4 +&' % #$% #& % 2 1 %$ %&' "6G7 M$ + # 1 M$ + % % % 2 ZJ %& # +#$%%&' &1 1[ i @ , !& # ! R = %$ %& % 2 ρ = 5 ρ = $ &1 $A % 2 M$ 11 * # 1 %$ %&' u A −L ρ L aL L@ −ρ a AL 1 + 1 @- u + ρ = @ u u A @ −ρ a A −L ρ L @, , A L a + ρ ρ − @ "6G7A 5 ρ + +& + M$& 1 28H&2 1% + 1 + # ( 8 %$241& M$ ρ = & "6G7 +& &F&% 7, , +F = 9; = − %& # 4 −L L aL ρ ρ %& i L a M$ # 1 #&+ : 5 ρ = −L L i " 1 %$ 1M$& * 1 # ρ 5 ρ + ( %& 28H&2 $ &1 1 J $- V o $5' '$ +8 # & !' # 1 %& %$ F $5' '$ +8 # $& $ 'E 1 %& & !' # 1 %& %$ F = # +$ +* 1 +# 1 2&+2 2 + (& # 2& %$8 1 M$ ! ≠ + # F& $ + 4 82 H4 +&' 4$ # % + $ - + % 2 +& + 1 F % # 20 & =L ρ M$ < % + # F$ a @ −L 1 M$ J ^J + ( i a ) a − + a F 2&1& # %& %$ F ρ 1 F 2&1& # %& %$ F 1 41 ! ) a − = (& ( a a − 5 = %& J + M$ J ^J ρ ## 4 1 41 aρ − + + + * 1 −ρ + M$ 1 i a − = %& 1 J $2 ρ M$ < % + # F$ 5 = $& $ 'E 8 %& $ &1 ρ ## 4 1 41 aρ − +# + * 1 −ρ = o #8 * 1 %& + 1 41 ρ " %& + J " @A ! 241 $ &1 J 1$ L A@ − L % 2 &# 9 1 % LA % &> %&' # $ #&+4 +& &* L 1 %81%$1 # 1 J 2 #& 1 @ + A 84941848 $ $ !'0 '$ + 1 1 %&' 1 4 %& %$ # &4 1 c + F$ %&' + 1 2 $ $ + 1 1 %&' # % % # O! 5 # 1 %$ # &4 1 # O 51 4 %& # 1 %$ # &4 1 5 # O # $! S 1 + 1&# # # 1 4$ # # # 1 1 %$ # &4 1 D %& #&+4 &(1 1 + 1&# # 1 %$ # &4 1 5 1 #&+4 &(1 # 1 # c + F$ %&' + 1 2 # 1 &24 # %& & # 1 # J R 849419 @ − A 0D ! &0 $ +"'A 1 4 +$ < ,* A J4 R 84941849 , < #&+4 &(1 S 1 + 1&# $'& !' ! 0 #&+4 #$ &(1 # 1 # $3 / ! 4 2 * ? 2 + 1 %$ %&' "6G6 # 1 4 # "6" " M$ +& + ($+% ( $ #&+ : % 1 M$ 1 -8H&2 +F %& # %& @J 28H&2 - JA + # (? %$241& M$ ρ = ρ i 5 ρ = ρ i + # %& M$ 1 %$ # &4 1 + $*& +&2$1 8 2 # 4 # 5 4 1 + !0 #$ $3 / ! + $+ ( $ + # + # # 4 %&' 1 # 5 1 + 1&# # 1 +&+ 15% 2 * ? 2 + 1 B& $ "6G " ? 2 + +? 2&+2 1 % + $ &1 1 1 4 +&(&1&# # # ( 1 + % F&%& +# F1 H&' # F$ 5# % M$ 4 4 %& ( 1 %& 28H&2 2 #& $ 4 H&2 %&' % +$ + %& # " 2 + < 1% + (&1 1 M$ + $ F 2 28+ 4 %&+ # ( + + % F&%& +" ( $ + (& +$+ & $5 # !$+ & $5 # "6G ρ = ρi 5 ρ = ρi ρi = + ρi = + 5 = 2 @ "6G9A − ρ ρ @ "6G A − 4 ρ + 5i = 4 = +L 81 − ρ ρ "6G9 + # # %$5ρ 5 + M$ # ? 1&2& L −L − @ "6G;A L −L∆L i # U! 9 ∆ @ "6G=A @ "6G,A 5 ρ − 4 ρ + 5i = 4 = +L L −L 5 = ∆=# + ?% + # 1 + %$ %& ρ = 5i # # 1 +& %$ # &* + + L −L∆L − i ∆ [ ]= A @ "6G @ "6G − + "6G; 5 "6G ρ = 5i @ "6G A A @ "6G 6A *& # # + +4 % &* 2 4 ± 4 − 75 4 @ "6G 7A 5 4 ± 4 − 75 @ "6G 9A 5 1 & 8 %$ # &* +" + 4 +& &* + 5 + 1 & 8 1 +& 4 +& &* 1 + %$ %& + "6G 7 5 "6G 9 4 # 2 + ( 1 + % F&%& + # F1 H&' # F$ 5# % % 1 + M$ + % +& $ " %JM% $&5' '$ !'0 '$ A D 1 %$ # &4 1 5 M$ ( ) + + % #&%& + 1 # 5 1 + 1&# # 1 2&+2 + 8 # 4 # + +&2$1 8 2 " # M$ + 1&> & $ 4 H&2 %&' 4 +&241&F&% % 2 1 % + $ &1 1 1 4 %& ( &# 1 241 1 + % F&%& + # F1 H&' < 11 # + % 1 + %$ %& + & + # 8$ + %& # " 84941: & + "! !!' $ %0"5 1 #&+ : # $ 241&F&% # + # ( 4 +&* + @ ρ ρ < A 4 1 + 4 82 4$ # # 1$ ρ > @ 1 ' ρ %$ M$ 1 + # + # # 5 + 1&# + 8 +!# 1 +&+ 4$ # + 1 + M$ L!&)L^ 5 + > ! A" $ # + 4 #$% & F&%& %& # $ 241&F&% # " F %$ +%&1 %& + +& + & %$&# # 1 < %$ & F %$ %& + M$ + 4 4 F$ 4 1 + % # + # + # 1&2 %&' & + +&(&1&# #" + & $+$ 1 4 1 + 6 JD> & %1$+ F %$ %& + 2 5 +" + 4 82 + ! 5 ! &24 # %& + # % 5# + 8 % 5 1 241&F&% # F1 H&' # # ρ % % $ * 1 # O! (& & ! 1 M$ 4$ # % +& +%&1 %& + # + # + + (&1&# # + & F %& + 5 + #&+2& $5 %& + # 2&% # + + 2$5 F8%&1 M$ + 4 #$>% # #&+ : 1 241&F&% # " + +%&1 %& + 4$ # # 1 241&F&% # 4 M$ + F&1 # + (1 M$ # + F %$ %& + 4 1 + %$ 1 + 1 + M$&4 + # + 241&F&% # + # 2&% # + +%&1 -D>5 F 2 $ ($%1 # 1&2 %&' M$ F$ 4$ # 4 #$%& +%&1 %& +" $ + 8 & % #&%& 12 + (1 " +& ! $ % (& & O 5 1 % F&%& # + 4$ # H4 + % 2 9 # 4 #& # # 1 + 241&F&% # &# 1 ! t 1 % F&%& # F1 H&' # + 1&# ρ ρ = ρ $& & $ $! # + # # 4 %&' 1 % 241 " + = ρ ρ − + @ "6G ρ ρ − A @ "6G ;A $ "%'$ ''& +" ' + M$ 1 M$ # 1 + 1&# M$ + 1 & + + (1 & # 4 #& #$>% 4 F 2 1% & " '& + "! ! '& $! $ "@ 1 %$ # &4 1 + 4 %$ # H&+ %& + &24 # %& + 4 +&* + M$ 1 F %$ %& # & ρ + 2 5 %& 12 0+ < % < < ρ < @ρ & + (1 A M$ ρ ' + M$ 1 $ &# #" 0 2& + # 1 + 4 82 + ! # 1 B 1 '& + "! ! $ $! + &+F % +&2$1 8 2 1 + +& $& + & %$ %& + 2 2 # 1 + 1 241&F&% # ρ +L∆L −L L + $ +& + @ "6G =A < + < #&%< 1 + # + # # 4 %&' # # 5 + 1&# + 8 ρ < A ( ) 1 + % #&%& + "6G = + %$241 M$ A= $ "+ L −L L L > 4 +&* + 4 1 M$ @ "6G ,A siendo ∆=# @ A= a − a @ "6G A 1 % F&%& W + % % % 2 F % # + (&1&# # # 1 +&+ 5 + 241 4 1 + $#& # 0+ " + M$& # %& M$ $ $& & + 8 $ $! $ " %'$ ''& +"'4 %$ 1M$& # # # 4 %&' # # 5 # + 1&# 4 +&* +& 24 M$ + %$241 M$ OP1 5 M$ ∆ < " +? %$ # O P 1 1 %$ # &4 1 + +&2$1 8 2 # 4 (1 % &24 # %& + 4 +&* + # 5 + 1&# " !& Q R Q S 1 & $ &24 # %& 4 +&* 4$ # % 1 % 1 +& $ %&' # & + (&1&# # 2& + M$ +& Q R Q P 1 + 4 1& H&+ $ M$ 1 + &24 # %& + # # 4 %&' +& 24 + %$ 1 + > + + (1 +" % + 4 &%$1 + 1 $ &1 1 + # %& %$ # 1 4 82 ! R 5 4 % +& $& OT∞ ∞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∞ W^ + &1 1 + @! R A L vL w % L vL ^ G \W \ 12 + (1 + % M$ #&%& #&%& #&%& W \G + $ +$2 1 + % +$1 # + #&%& 12 12 + (1 + 5 4 +&(&1&# # # & 12 1 + 2& %& + % + % % # W # 1 #&+4 +& &* " 1 + #&+ & + &4 + # + (1 + 5 # 4 (1 +" + (1 + 5 # 4 (1 +" + (1 + 5 # 4 (1 +" # 4 (1 +" + (&1&> %&' +&+ &* @4 ##& A + 4 #$>% & + (&1&# # + #&+ : 8 4 +& $& + F& $ + + 4$ # % F&%& +" 1 % F&%& 1 # # + 1&# " + 4 $ %& # 1 # 1 + > + * 1 + 4 + # 1 # F1 H&' 1 M$ ρ < 5 ρ # % + & + 4 # ρ + #8 1 %81%$1 %$ 1 < " 1 + # + + 5 +&+ 6= ρ$ $& & ! 1 % F&%& +&+ " F$ $ % $ - F1 H&' 1 + 1&# ρ 1 %81%$1 # 1 + % F&%& %& %$& " # 3& " + % 1%$1 8 4 & # 1 + # F1 H&' 1 + # 97 # # # 5 1 + + * 8 % 2 +& 6= ρ $& & ! 2 + < *&+ 1 M$ + 8 ! (& # 4 % + & ρ M$ $ $- M$ $ + $#& = 3& 241&F&% # + " & + (1 ( + % %$ # %$ + 4 4 # + ρ ρ 5 ρ = − *& + ρ M$ > ' ρ > 4 1 " − ρ ρ + (+ * M$ 1 + (&1&# # 1 # 5 1 + 1&# # 4 # +4 % &* 2 # ρ 5 ρ 4 1 M$ 1 + $#& + 4$ # 11 * % ( 4 + 4 # "! 1&> 8 4 $ + $#& 4 1 + (&1&# # 1 # # 1 241&F&% # M$ # 4 # # ρ 5 4 1 + 1&# M$ # 4 # # ρ " 84941:41 & + "! ! " '$ 1 1?2& # + (&1&# # + 8 " !' ρ D ! A ρ = + + ρ = = + ρ ρ − " ρ * # 4 # # 1 + 4 82 +!# 1 +&+ M$ *& # # + 1 + +4 %&F&% %& + # 2&+2 5 + 4$ # 2 #&F&% 1 #&+ : 5 1 % F&%& # F1 H&' # % ρ M$ # 4 # # 1 #&+ : # 1 # # + 1&# 5 M$ 4 1 + )$+ (1 " ! # 8 M$ * 1 + * 1 + % #&%& 1 & % #&%& + # ρ M$ 4 #$% 12 + (1 " & + (&1&# # 4 % % +& $ + #&+ : 6= $& & ρ$ ! 11 + #&($) 8 1 % < % M$ ρ = " ρ $ , ' # !2& < # ρ 5 + * >M$ + & F&) # 99 " #&($) 1 1?2& & + ( # 11 1 + * 1 + (&1&# # 1 % + # ρ M$ + + $#& 8 < %& M$ 4 # 1 1?2& M$ < % ρ M$ +8 1 +* 1 ( = − ∆a ∆=# @ A= % " & + (1 1 %& %$& " ) i i 241&F&% # +# ρ a = −∆ a − −∆ a + +# % 2 +$1 # $ %& %$ F %& # % 1 % # !2& < # ρ 5 M$ + % % % 2 %& %$ F + * 1 +* 1 = + 5 + + %$ %& #&($) 8 + ( + M$ < % ρ M$ < % + # + + (1 + 8 # M$ F$ ρ < + # %& # 1 %& %$ F * & $ +& 1 + * 1 + # ρ 4 1 + M$ 1 + # 1 H & # 1 %& %$ F %& + +$4 1 1? # &24 # %& O " 5 # #& M$ + %& # + (&1&# # # M$ 11 + 4 %& # 1 + %$ 1 + 1 + (&1&# # # % " 1 241&F&% # + + (1 + 1 + # 1 & & # 1 + 1&# 28+ +&241 4 +&(1 + # %& $ 6= Ζ T6= + # & 1 % $ % F&%& # !2& < % 6= # +4 # $1 ρ = F1 H&' # % 1 4$ % 8 −8 = 8 +8 1 # 1 2&+2 " %ρ ρ " '& . '|| ρι$QT1 ρ T= ! M$ +& + 'ρ ρ $ /1 3& 9 ! A 2I 2: 4 + $ % + % 2 + # ρ M$ < % * 1 ρ + 1 + M$ (& M$ ρ = 1 #&+ : + + (1 !& > #&+ : + + (1 " 1 M$ ρ = 1 # 1 F& $ # +1 +* 1 % F$ ρ = !& + +$+ & $5 + # # + 4%& +# # 1* 1 + # 1 %& %$ F # 1 %& %$ F # ρ = 1 < # %& 1?2& %ρ $ 41 !& < #&+ : + + (1 " # +1 +* 1 # 1 %& %$ F %& 1?2& M$ 11 + 4 + 8 M$ 11 + 4 ρ " '& . '|| ρι$QT1 ρ T= $ 71 + 8 +# ρ 4 1 + M$ 1 1 + M$ 1 ! " %ρ ! 1 & 1 +* 1 < 11 'ρ ρ 3& + # F$ 1 F' 2$1 4 1 + ρ " '& . '|| ρι$QT1 ρ T= ! %& F 2 # 4 'ρ ρ 3& 9; ! " " !' ρ D 84941:48 & + "! ! " & "! A !& $& # $ > 2& +&2&1 1 11 * # # " 1 1?2& # + (&1&# # + 8 ρ ρ * # 4 # = = # 1 + 4 82 # 2&+2 5 + 4$ # # 4 # # 1 #&+ : # 1 % ( 4 + ρ ρ − +!# 1 1 %81%$1 # 1 +&+ @ "6G M$ *& + (&1&# # A # # + 1 + +4 %&F&% %& 2 #&F&% 1 #&+ : 5 1 % F&%& # F1 H&' # % ## # 5 M$ 4 1 + )$+ (1 " + # ρ M$ 4 #$% 12 + (1 " ! # 8 M$ * 1 + * 1 + % #&%& 1 & % #&%& 1 & + (&1&# # 4 % % +& $ + + ρ M$ #&+ : 6= $& & ρ& ! +* 1 $ <- 3& + # ρ M$ < % M$ ρ ( = 5 F$ " 2 * 1 + # ρ + + (1 1% + & + & + # ρ M$ < % * >M$ + ) i i −∆ a − a = −∆ a + +# % 2 +$1 # $ %& %$ F %& # % 1 % # !2& < # ρ 5 M$ + % % % 2 %& %$ F + * 1 241&F&% # = + − ∆a ∆=# @ A= + + %$ %& #&($) 8 + ( ρ F&) # M$ < % 8 # ρ M$ F$ 1 1?2& # = + # %& # 1 %& %$ F + #&($) 8 1 % M$ ρ < + %& # # !2& < # ρ 5 + + 1 %& %$ F + (&1&# # 1 % 9= + %& # !5 # #& ! M$ + %& # + (&1&# # # M$ 11 + 4 1 + %$ 1 + 1 + (&1&# # # F$ + 1 %%& 8 + (&1&# # # F$ + $#& 8 < %& M$ 4 " 11 1 + " # 1 1?2& +8 1 + * 1 + M$ < % & + (1 +&241 4 +&(1 + # %& $ !& + +$+ & $5 1 * 1 ρ # # + 4%& = + 1 %& %$& " 1 # 1 # 28+ 8 −8 # &24 # %& O 1 M$ +& &F&% M$ ρ = = " 8 +8 1? ρ = # 11 + +$4 1 F' 2$1 + 1 < # "6G 1 & 1 +* 1 4 ρ < 11 +# ρ 4 + (& 1 + M$ M$ 1 #&+ : + + (1 o > !& 1 + M$ o # +1 +* 1 1 #&+ : < # +1 +* 1 M$ 1 #&+ : + + (1 " JM% D # 1 %& %$ F %& 1?2& + 8 M$ 11 + 4 + + (1 " !& 84941> $ +# # + # F$ $ $ # 1 %& %$ F &0 $ +"'A %& 1?2& + 8 M% % M$ 11 + 4 , "+"' %JM% / $ $ ! &0 $ +" ' @- H&2$2 * &1 (1 J & - JA + # F& %& # +#$%%&' % #&%& + # # 4 %&' % )$ # +&2$1 8 + 1&# + + %$ # + %$241 ρ = ρ i 5 ρ = ρ i " 2 + + ( % + W# # - J" #&%< # 4 %&' +&2$1 8 +'1 + 4 +&(1 + (&1&# # + 2 5 M$ 1 $ &# #" +? 4$ + +'1 = 9 H&+ " + %$ # &4 1 + & % 9 " 2 "5 " ! !' $ %0"5 M$ 11 + %$ # &4 1 + %$5 0+ % + 4 # 8 < (1 + # W 12 = + %$ # &4 1 + % #&%& 9 84941@ #&%& 2 ", " % 2 1 # 5 @A ± A − A # + 4 +&(&1&# # + # 4 #& # # 1 * 1 + (1 + 4 + W ^ 5 L vL w @A − A − A 12 + (1 + 4 + = W ^ 5 L vL ^ @A + A − A ! $ 241&F&% # # 2&% # + + 4$ # 2 #& $ 4 M$ : 4 %& # + 1&# & %1$+ $+ %& # + : 1 # # " + + % % % 2 1 4 %& # $&# # 1 241&F&% # " 9, 1 + 4 %& # $&# 1 4 %& # $&# F& $ # $&# 4 = R4 JRJ # 1& %& # # # + 4$ $&# #&+4 %& #&+4 &(1 # 1 +1 4 !& $ + 1 +$2 # 1 4 %& # 1 4 4& 241&F&% # " %& # $&# &(1 #+ ( 1 + F' 2$1 + % = + 6 84941@41 ! 0 # & & + % + @ "6G 6A $&# 1 %& %$& & $ F % # $&# B R " !& + 4 +% % # + + & % * 1 +# %& """ c % + 1 F& $ # $&# 1 ( &# # − − aaa + """ + =aaa= 5 = =aaa= $&# [ B- 5 + & $ 1 = # A @ "6G 7A − % % 2 B' 2$1 # B &&+" 2 #&# # 1 % 24 2& %$ %& + +& $& @ "6G " ?,4 + > > = + ?,4 ?,4 − 241&F&% # 28+ % 2 1 241&F&% # 241&F&% # M$ % &($5 % +&# < $ 241&F&% # M$ & """ 5 # F& $ # $&# 1 + 4 + 241&F&% # + + % 1%$1 + # > = # ?,4 %< # ( # % = $&# # 1 + 1&# c : #&# 4 = $ # 11 2 Z + + # F& 1 %&' + : 1 G $&# 1 # = 1 %&' + : 1 G $&# 1 + 1&# 4 %& # $&# #&+4 &(1 1 + 1&# %& ∗ 4 %& # $&# #&+4 &(1 1 = # 1 1 + 1&# # 4 #$ 0 → ∞ 1 F& $ 5 − S − S 1 + 241& $# + # 1 + 1 ( 1 ( &# + ! #0 % 1 +& F$ R h R h +& $&# @ "6G 9A + '$' '" # $ %$ # &4 1 1& + # +5% + & & +# + + 4$ # # +% &(& 4 # 5 + 1&# " 1 + !& 1 %$ # &4 1 % & F$ +& + 4$ # # +% 24 + 2 #& $ 1&> %&' # 1 2 # < * & $ %$ # &4 1 +& F$ + & + 5 # + # + $ # +&' + & % 1 # 5 # % & 4 1 1 % 1 2&+2 " + %$ %& + M$ 4 + 1 %$ # &4 1 4 + + ! R h h R h h $ >B % ! !& 1 + F$ + & 4 4 %& $ # +% 24$ + 1&( # $&# F % # $&# # ! % < + # 1 %$ # &4 1 %$ + &' + F$ + # $&# 1 B& $ "6G + 4 %&' # 1 + F$ + # $&# # $ %$ # &4 1 1& 1 M$ M$ # $ # $&# + + $&# 4 1&( # $&# " < (& 4$ + M$ $ 2 #&F&% 1 1 %&' + : 1S $&# M$ H&+ +$ # 4$ # # %& + M$ 1 % )$ + & $ 1 1 # 1 # $&# + " , 8 # 1 % 1 # # #&%< #$ #2& %& + R J+ h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−: − A + @4 − 4 @ "6G A ' = # B R F& $ !R B 2& # 2& + [@ $&# #2& %& # F$ R RB& $ # 2? &2 $&# + &4 A ] @ "6G ;A ! 4 R #2& %& # F$ '4 &2 % 1 M$ + % +& $ 1 1 F& $ # 2? &2 $&# + &4 R R +&+ %& M$&* 1 ! 4$ # H4 + +& $& 1 %&' ! # 5 $&# 0 2& ! 4 = = # 2& @O +$ 1 + 8 + + # % F&%& ( − ρ ) +ρ 9 xA" $5' '$ 1 % + # M$ $&# " ! 4$ # ( ) %& + + 4 82 +* 1 # 1 %& %$ F = 5 = ! # >= 7 > @ (+ * M$ 4 M$ B RB- ρ + 1 % 2 1 + + 4$ # # 2& # 2? &2 $&# + 8 % 1* 1 # 2? &2 # 1 F& $ ρ M$ < % # $&# M$ B\B %& A @ "6G6 A @ #& # 1 %& %$ F => S8 +ρ H&+ $ ρ = ρ →>= → % + $& 1 F& $ # 1 %& %$ F # $ # 2& # B + ( & $ %& %$ F 4 #$%& 8 $ F % # $&# B B- \B\B 1% + % F1 H&' # F$ @ "6G ,A @% − + % # ρ # # 4 1 41 >a > + − ρ +> 4 + # ρ M$ + # 1 % F&%& >+ 5 ρ 2& # ρ 1* 1 ρ +B $& $ ' 1 +* 1 %& @ "6G =A 1 F ( &% # 1 +&+ # #&+ : $ 241&F&% # & $ 1 1 '4 &2 " ( % + $& < 11 $2( 1 B " +8 # !' 4 +&(1 *0+ # 1 ρ −ρ 7 4 82 + # $&# 5 1 + 4 4 %& H4 &2 12 " 1 () &* 1 < ( $ % F&%& # F1 H&' # F$ 84941@48 F1 H&' ρ 5 ρ +# = c5 %& A @ "6G6 A %& # $&# M$ 4 # %$=ρ A" 1 M$ 1 + ρ # + F % # # 11 $&# 2? &2 84941? '& !' &'- !' $ %0"5 ! !' $! & + 4 # + * +$2& 1 + 4 + + M$ < % F 1 4 11 * % ( 1 #&+ : &241 2 %&' F?+&% # $ 241&F&% # # 2&% # +" 1 B& $ "6G6 + 4$ # (+ * 1 + #&F +4 + M$ % 24 $ 241&F&% # (8+&% 2 1 +&+ 5 1 + # + # # 4 %&' # # 5 # + 1&# " ρ$ ρ 6= 6= ρ′ $ ! + 4 + + M$ + # ( +& $& + " 1 & 1 4$ F %$ %& # @ " = A 24 ( A= $& & ρ& $ $?B " + $& 1 4 % + # #&+ : # $ # 4 1 &> %&' ( ) @ A @ A WR∞ &1 O P1 Q RQ S1 # 1 +&+ 241&F&% # 5 H # 2&% +$+ 4 82 # ++ + ! 4 @ A @ A +& + & % #&%& +L∆L −L L ρN ρ 12 L −L L 1 + @! R A $ $! + (1 L % 241 # 1F % > c ∆=# @ A= #&%& 12 a − + (&1&# # W a + (1 + 5 # 4 (1 +" $ " %'$ ' & +"'& 2 ! 0 +"'&4 6 # 1 + 1 L vL ^ G \W \ #&%& W \G #&%& 12 + (1 + % 6" !& 12 + (1 + 5 # 4 (1 +" 4 +&(&1&# # # + & % #&%& # 5 1 + 1&# 12 & # @ ρ A % 2 + *& *& M$ + 4 #$>% % 4 + (1 + 5 # 4 (1 +" # + # + (&1&> %&' +&+ &* @4 ##& A + (1 < ( 8 M$ < % $ + $#& # 1 + (&1&# # 1 %$ 1 + %? %$1 + # + (&1&# # # F$ @ρ A 5 # 1 4 # "6" 7 5 1 & 1 + + & + (&1&# #" 7" &+ : # 1 + # + # # 4 %&' o 241&F&% # # -8H&2 J %& " 1 -8H&2 +F %& # # +# # 4 %&' M$ # 4 # 8 # 1 241&F&% # # %$ # + # 2&% # + + &4 # 241&F&% # + ($+% 8 % + $& %& 4 11 + # ( %$241& ρ = ρi ρ = ρi ! (& # M$ ρ = %$241& ρ = # ( +F %$ %& %& # +# # +2 + − ρ ρ − ρ ρ @- A" + %& + 5 ρ = 5 ρ = 2 1 20 # (&1 1 % i 2&+2 ρ = ρ 5 ρ = ρ i # + 1 M$ 1F % − + M$ # ρ ρ i ( ? 2 +$ # 20 & Z$[ 5 ρ = 1 M$ 4 ± @4 − 7 L 5 L A 5 4 ± @4 − −7L5 L A 5 # 7 ( ρ 5 ρ M$ i 4 *&2 + 4 #? 2 + < 11 ρ = ρ = ρ ρ i 1 20 # $ &1 1% 1 @< 5 M$ % 24 ( M$ # A" ρ = + ( $ 1 -8H&2 + 1$%&' + + 4 H&2 %&' 1 + 1$%&' + 2 5 M$ $ + 4 % + i ? 2 + 1 + 1$%&' S @ "6G6 A S @ "6G66A 1 1 M$ +1 4 = +L L −L L −L∆ L 4 = +L L −L L −L∆L 5 = − i∆ 5 = − i∆ ∆=# @ A= o 1 -? &2 &* 1 # $&# 4 a % ρ =ρ # % *& 2 − a + $& 1 + # ( %$241& @ "6G67A * ># 2& # 1 % F&%& # F1 H&' # F$ + 4$ # 1 & 1 % F&%& F1 H&' # % 4 % + $& 1 + # %& ρ = ρ i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ρ 5 ρ % 1%$1 # + @( ) 1 % & & # 28H&2 %& # 2? &2 $&# A % # # 1 > & + (1 @%? %$1 + # + (&1&# # # % # F$ A + # 8 M$ $+ 1 + %$ * + # %& $ &1 1% + 5S 1 + # 5 !' ! $& $ '4 + M$& # %& M$ $ M$ % +& 2 + $ 241&F&% # # 28H&2 %& # 2? &2 $&# 4 > + # + (&1&# # +% 2 + 1 + # + # F$ 5# % M$ 4 4 %& 2 5 %& 5S 2 $&# 4 +& 24 + $ # 1 + (&1&# #" " ;" =" &+ : F?+&% 2 1 + # + # # 4 %&' 1 # 5 1 + 1&# M$ 4 4 %& 1 #&+ : # + + # + + 4$ # 241 1 + * 1 + # ρ 5S ρ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� &% 1 *&+ " 1? + # +2&+&' # 1 & + 4 + < ( 8 M$ %$ 241&F&% # # # + 4 +# ( ) + $& 2? &2 $&# 1 4 &2 28H&2 %& " 1 # + +&" 1 # 28+ 1 4 % + # #&+ : 84: " & !' $! & 8+&% 2 $ F&1 # 2&% # + + 8 $ %$ # &4 1 M$ 4 2& & 8 1 +2&+&' # + : 1 # # 2& # + F %$ %& + # +# 1 # 1 + 1&# 2& + M$ E F$ 2 1 + : 1 # 1 + F %$ %& + + +" ! 4$ # + (1 % $ 4 &2 %1 +&F&% %&' F$ %&' # M$ F %$ %& + + E + # ) 4 + " +? < 5 %$ &4 + (8+&% + # F&1 + 4 + ( ) + M$ 1 M$ E 1 + 1 + F %$ %& + 4 & # $ F %$ %& # 2& # 5 # ) 4 + 1 + : 1 F %$ %& + ( ) + 4 + 1 + 1 F&1 M$ # ) 4 + 1 + 1 + F %$ %& + $ # 1 + F&1 4 + ( # + M$ 1 M$ 4 2& 1 4 + # + : 1 # + F %$ %& + # 2& # + 5 1&2& ( # + 1 F&1 M$ # ) 4 + 1 + : 1 # + 1 + F %$ %& + H% 4 $ % # 4 # + F %$ %& +" A! D 0 0 ! , 5 51 5 ' B & J ! K0 A! D , 5 51 5 ,$ ' B B & J A! D 0 0 5 ! 51 5 58 ,, ,/ ' K B + F&1 + # 2&% # ++ % &* + 4 1 M$ < ( 8 M$ + ! + 1 % &* + ( )= o & ≤ → ! & J ,4 ' 58 5 & 28+ + +&(1 + + 1 F ( &% %&' M$ 1 + #&+4 +& &* + 2$5 4 %&+ 4 % + # #&+ : 5 F ( &% %&' 2 %$ 1M$& %$ # &4 1 $ F&1 4 82 + ! # $ F&1 & 1 + +& $& o 51 5 + 4$ # % % &> $+ # +$+ 4 82 + % % ?+ &% + F %$ %& ( ) ( ) ( ) ( ) → → +4$ + +2&+&' +4$ + # 4 %&' @ F1 H&' A # # # + %% + + 4 +&* ; + !" + o = → !$ 1 + +&20 &% o = → !$ 1 + + o %?4 % = → $241 $ & & # # + F&1 + 4 +&* + 5 +& 40 #&# + + 8 F 2 # + 4 + 8 # ) # 4 + 1 + : 1 # 2&% # + 5 + # F %$ %& +" $ F&1 # # 4 + o # → # 1 → # + ? + +2& F1 ) $ # → + : 1 → + # 1 + : 1+ +2& F1 ) + 4 82 + M$ # +% &( 1 % 24 2& + : 1 5 1 + M$ + ( + 1 #&+ : # 1 2&+2 + " 6" 1 2 + % &* + M$ %& F %$ %& F1 ) # 1 ? 1 % 2 0 &% # 1 # 1 + # ( 8 %$241& o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− ∆= I I ! + # # + = = − ∆ ! ∆ @ "7G A @ "7G6A − @ "7G7A ! &4 # F&1 , F %$ %& 5 $ F&1 4 &4 + A! D 0 5 ! 51 ,< 5 58 ' & " + 0 5 NT1 ! * >+ & 1 2 +% % ,> ' & 1 + +4 %&F&% %& # +" + # 1 F&1 /= T1 4 , ? + + % +& + ( + + #8 h % 1 2 +&+ &* @ h % +4 #& + + ( &24 # %& + #2& %& O" " " " /9 " " /$ + $ % # + # + & @&24 # %& A h % = & I 5 /$W1 0 1 # # 1 F&1 5 1 &4 # +4$ + # F&%& + 1 2 + % &* + @( (& A" # 4 #& # # 1 &4 # +4$ # 8 1 * 1 # 1 + % F&%& + &" + 2 1&> # + F %$ %& Ff@F %$ %& :5 = & I 0 /$L1 8 = & I $ # ( (& " &4 4 + ( ) + 4$ # &241 2 /8 /1 ! 5 5N = & I 8 5 : 4 1 1 @ #2& %& A + 8 #2& %& + + ; + # " !& 1 # # 1 F&1 + 5 % # + # +A 5 $ + 5 $+ # 1 + (1 + + % F&%& + 4 + # % A 5 &24 # %& @ "7G9A @ "7G A h + 8 &24 # %& 5 +& + $ !& !& ( 1 +* 1 4 1& 2& + # 2 B&1 o 'B o I'+2&I',E o ")0 &E + +O→ 8 = + + + # + + % 24 M$ 1 +4$ + IE →: = 41 +4$ + 28+ ( $4 28+ + = = : % E 28+ ( $4 &> # % % 8 &24 # %& + $+ (1 + # 1 F 2 # + + 4 1& 2& + ( # +# 4 + 5 + 2( + ( # +" !'$ # 1 F&1 R $X !' '" '%'$ & R %0" '3! ! - 5 - 5 - 5 4 % * ! @#&+ +&' 5 ! &0' & #$ @#&+ +&' F + A" 2&+2 # # 1 F&1 1 +4$ + &4 ")0 + 28+ ( $4 M$ 1 I'+2&I', M$ 1 + 28+ M$ 'B I 1 % + # M$ + # + 1&> 1 F&1 4 + ( ) % 1? + # 1&> 1 4 &4 & $ &1&> # h & * + + # &24 # %& 1 2 + % &* + & $ 1 + @( (& + % # + # +A" 4 #& # # +& 4 14 &4 4 + ( ) + < % 2 > # % % ( (& + + & $+ 2 + < +4 % &* 2 1 +& * + ( (& + + & 1 +& * + +# #2& $ # " 1 ( # # 4 + " &> # % + - 5 $ %&' ( # 1&2& # 5S 2 F %$ %& # $ %&' &'"' , 8 + 2 1&> # + F %$ %& + # 4 +4$ + 28H&2 2 +4$ + = + @yG A % %& ; % # + # 241& $#A +2&+&' + # ( 8 #2& %& 5 % # + # + 4 1 1 + # &24 # %& W @yA % + 4 1 1 5" /= T1 /8 / $L1 /1 /9 A = /$W1 /$ A + @ "7G;A = @ "7G=A + O18 O=1 O$ $W1 A> >+ = @ "7G,A >+ > ∆Π + (& # M$ 5 = ∆Π A = cA + ∆Π = c A> >+ = + / = T1 /1 /9 /8 ∆Π > @ "7G /$L1 /: / $W1 /$ A >+ C C = 5 = 5 + @ "7G @ "7G + =1 18 $ $W1 5 C > >+ = > @ "7G 6A + (& # M$ 5 = ∆Π ; >+ A A = C ∆Π cC ∆Π = + c C> ∆Π = >+ + 84:4149 '&$ % "* # + 2 1&> #$ '$ F %$ %& + ' '$ 1&> 1 + +& $& + +F 2 %& = 0 < F&1 4 + ( # % " B&1 4 + ( # % 84:414941 4 0 5 = < 5 * & + 4 +&(&1&# # + # 4 #& # # M$ 4 + ( # " B&1 " 1 2 1? 0 & + $! +% % +# $ '$ 2 !'1 F 1 ? # + J 2 1&> o 1 F % # % 24 5 c ∆a = ++ 241 @ "7G 9A a @ "7G 5 a A 1 F ( &% %&' # 1 !& 1 % + # M$ + <$(& 0 0 K 24 > # 0 H " &24 # %& =8 a @ "7G ;A 5 = : a5 @ "7G =A 5 + & 1 F&1 4 + ( # % 1 2 1&> %&' # F&1 + % % 24 +% % o 5 = & & , c ∆a +2&+&' 14 &4 4 + ( ) M$ # ? # 1 +& $& % # + # 4 1 1 ! 1 2 + # + $ '"'%'$ & 0 @ "7G 7A >+ > +% % # +" + 4 (1 2 + 4 & %&4 1 + # 1 # + F %$ %& + # 2&% # ++ + 4 8+& + 1 + # 1 + % 24 + 2 % # 5 % 2(& +$+ * 1 +4$ + " + 2 1&> # + #&+% 5 # #&F?%&1 #M$&+&%&' 2& 1 + < ? M$ 1 %& %$& * & 2$%< ;6 1 +$ o + 84:414948 F ( &% %&' +% + + 4 F %$ %& + # 2&% " 1 + 1# # # 1 + % 24 # + +2 ) 0 & + $! $+ + 1 2 $ ") $' & !' +" 1? +# +2&+&' " $&% & #$ 1 < # % + $& $ F&1 # 2&% # + % 1? + # +2&+&' + * * 6 4 +&(&1&# # +" &1&> 1? + # +2&+&' # TS % 2 + # + 28+ 1? + # +2&+&' % ( (& + 4 1 1 % 2 & * + 1? + # +2&+&' # TS % 2 + # + 28+ 1? + # +2&+&' % % # + # + + & % 2 %& %$& & * + 241 1? + % 41 # + # TS7 %& %$& (& % 2 & * + $ &# + % +% # 5 1 +$2 # # + # 11 + @F 2 TS A % 2 + # " 1? +& $& # 1 F& $ & $# TS M$&* 1 $ %& %$& + # % 2 + 4$ # & 4 %& 1 & O 0 λS ! , . 0 0 =; 2 + < % 2 # 1 + +& $& + F& $ + + 4$ # # 1&> $ & * + # &24 # %& % 1? + # 2&% ;7 0 (+ * # +" + 4 +&(&1&# # + 1 < 4 = 6= a 6= $, βa = ! , $ . −? = − @ "7G ,A ? % @ "7G A 4 & " ; = 6= a5 6= $, − βa = ! , , . = −C @ "7G A C % @ "7G A ; & 8 = 8 = + C + C "7G 6 +C −C , , λ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c5 = ∆a 241 a 4 1 1 4 1 +& $& @ "7G =A 0 5 = ! @ "7G ;A >+ > H & J 5 c ∆a = 5 a @ "7G ,A " D %& # F %$ %& + + % + $& ? 1 2&+2 + # %& $ F&1 4 + ( # 0 0 =1 ! , > %& %$& M$ 1 & 2 1&> # &24 # %& 0 18 " ; 4 0 $ $W1 # + 2 1&> # 84:414: " & J%' & " ( $! & $ )$' & 0"! &4 1&> 1 %& %$& & % 1? + % 41 # + 1 1 + &24 # %& + 4 &24 # % # 1? % 41 % % ?+ &% " 1 + # ( % 1%$1 1 + * 1 1? + % 41 # + M$ F 2 8 1 & * + 241 # 1 ! # + 1 F&1 2 1&> M$ + # 8 M$ < % < + ( # 5 4 & # 11 + 1 &24 # %& + # 1 + &24 # %& + 4 &24 # 1 + + F' 2$1 + 8 = +C +C @ "7G6 A 8 = +C −C @ "7G6 A &24 # %& 2$1 &41&% # 1 + * 1 + & 8 = 8 a8 @ "7G6 A 8 = 8 a8 @ "7G66A 4 + ( # &# 1 M$ # ? # 1 +& $& + '$ #$ !' +4 1 &24 # %& O " 2 * + λS7 + # λS * + λS7 * + λS7 + ! , ? J K 84:414> " & $! $ )$' & 0 J%' & 5)& & !' ! " )$' # ). λ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o + o 1$ o +4 + o o #& 10% &% # 1 +$+ # 12 1 &* 1 $+ # 1 +$+ +&+ 1 $ &# ε = " 9± " 9 DR " ; & 1% # 40 #&# + +&+ &*&# # 4 # 4 2& 1 + ( ) + 2 1&> # #$% #R " +4 % R " 69 22 ; # 1 < R % % &> %&' 4 82 + ! 5 1 + % % ?+ &% + # $&# 5 69 76 4 $ # F %$ %& + # +# "9 9 JD>1 4 4 %& $ F&%< "+ 4 5 + 2$ + 1 + (1 + +& $& + ;, %& # 1 1 F ( &% +&+ BG *0+ # ! ! 7 $ $ " ' - B 3& &" B " $/ ,$ $/ ,$ " " ! " " ( # # F %$ %& + # 1 #&+ : % 2 + < % 2 "7 -D>5 # # M$ 1 + 4 82 + ! # 1 #&+4 +& &* = " . " # + *& 8 % # % &# + 1 F %$ %& #&%< + (1 + 2 #& # #&+ : 1 $+ # + 4 #8& + 4 82 B 2& R " + # ;∠ − 96" 9; ", = ( & # 1 + +& $& " =97∠99"6 9";96=∠ 6 "6 $&# + 4 1 "9; ;6∠ − 6 "=9 1 + +& $& F R "7 + 4 82 + 7 JD> + = SO R " 9 WR " 6 6 '2 * 2 + 1 (1 6" G M$ % # 2 + % & $ %&' + 4 # 8 + $#& 1 + (&1&# # # 1 #&+4 +& &* # 4 #& # # 1 * 1 # W" + % + % 2 1 * 1 # 1 % + # '& + "! ! + & $ 1 " 6 6 2 + M$ 1 #&+4 +& &* + Z% #&%& 12 + (1 5 # 4 (1 [ 5 +& + M$& % + $& M$ + + (1 + # ( 8 $ %& 1 # 4 %&' # 1 2 + $ # 1 + 4$ + # 1 #&+4 +& &* " WR∞ W^ &1 1 + @! R A L vL w % L v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dd RES ID=Rd RES ID=Rg 2 1 ATF 35143 3 RES ID=Rs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−( = 1 +&+ = , Ω" $ + 2 1&> # 28+ % % 4 % # & $+ # $ %& # M$ H B $/ ,$ " M$ &# 4 4 4 %& 1 % & # # # +&' # 4& %< FF # 1 #&+4 +& &* 5 # 1 % & +&' H&+ 1 4$ 5 1 +$ &# + %$ = A = ( =( @ − + A! D "6 ;"9 ;", $% $ # + < 5 @6" G A M$ &# + # 2 M$ &# + 8 # G " , +$ &# + +&+ @ A # 1 % + & %& + % 1 2 1&> # + # $ # # , #++R 2 5$ 4 1 &> %&' x+ %$ & 8 + 8 1 1 # 1 4$ + 8 1 M$ + 1 & 8 ! R 7 x" +&+ %& # + $ &# # # * 1 1 * # " 1 &2 + R9 x M$ =6 +$ * 1 2 1&> # " B& 12 %$241& 1 F' 2$1 ( = ( + = ( ( #8 1# " +&+ ##R *&+&(1 4 1 + : 1 # B 5 M$ 2 $ 1? # 1 &24 # %& M$ 1 4 #$%& 8 40 #&# +" E1 &2 +& + & 1 +& $& F& $ %$ + # 8 M$ 1 & 1 + * 1 + # # 5 # ##" ! # ( ) " 1 * 1 # # + 8 # 6; x 5 4 & # 01 %& # # # 1 + 4 2 + $ +&+ %& # 7 ) 8 1 + (&1&# # 5 $ +&+ %& # x +& $ # M$ + 1 2 + 8 *&+&(1 4 1 + : 1# % & $ 5 + 1 +$+ 241 # 1 8 + x + # # 4 1 &> %&' M$ # 8 % 2 1 # RES ID=Rk1 R=24 Ohm PORT P=1 Z=50 Ohm 2 PORT P=2 SUBCKT Z=50 Ohm ID=ATF 1 NET="f351432b" 1 3 MLIN ID=TL1 W=w mm L=L mm MSUB=RT6006 w=1.306 CAP ID=Cs2 C=30 pF CAP ID=Cs1 C=30 pF RES ID=Rs2 R=47 Ohm ! 1 F$ MLIN ID=TL2 W=w mm L=L mm MSUB=RT6006 L=4.666 $ 4 B $/ ,$ ' MSUB Er=6.15 H=1.27 mm T=0.035 mm Rho=1 Tand=0.0027 ErNom=3.38 Name=RT6006 RES ID=Rs1 R=47 Ohm " H & " H +&+ B 69 76 & 74 +# % % 1 4$ 5 1 +$ &# 5 # + 4 + 4 1 # M$ 1 F$ & # +4 + + % % 8$ +&+ %& # 7; x % # $ M$ 4 1 1 F 2 8 1 + 7x# +&+ %& % + & +" +? 2&+2 % 2 + 4$ # 4 %& 1 F& $ + % % $ 1? # +2&+&' % # $ # 1 + 4 + # F$ 5$ % # + # 4 1 1 % % # $ # 1 + +&+ %& + # 7; x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∠ − 7;" 66 7" 66=∠ =" 9 +&+ + +& # # 4 1 &> %&' + * 8 " 99 ;∠; "= "9, 7;∠ − 6"77; =6 # SO R " 7; Γ = "; 96,∠ 9" ! + $#& # ! $ $ * 1 W R ", ,6= 5 ∆ = "7 7 ≤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ρ = + ρ = + i − ρ ρ i − ρ ρ = ρi @6" G A = ρi @6" G6A %'2 # # + 1 + % % ?+ &% + # 1 + : 1 1 M$ + M$& + ( $ 241&F&% # 2? &2 $&# 1 * 1 # 1 % F&%& # F1 H&' # F$ + 8 & $ 1 1 % F&%& F1 H&' '4 &2 + + ρ =ρ M$ *& 1 + (1 + 4 4 %& # + 4 1 F ( &% # # 5 M$ & 4 1 2 +4 1 F %$ %& # & 1 # 1 % F&%& # F1 H&' # % # %& @- A + # %& %& ρ = +* 1 + # 1 + % F&%& + +# − + ρ ρ − ρ ρ # " 1 -8H&2 +F i = ρi F1 H&' M$ # 8 4 ρ =ρ ρ = 0+ % 1 F$ %&' J+ ($+% 8 4 ( @6" G7A # 1 +& $& 2 = "; 96,∠ 9" i = ρ i = "6,9 ∠6=" 9 % + %$ %& # + + M$ + ( # 8 1 2? &2 F % # $&# 4 +&(1 # 1 +&+ @B R A 5 1 < ( 1 &# 1 % F&%& # F1 H&' 41&% # +&2 ? % )$ # + # %& 2& i ρ = ρ < % M$ ( 2 + $ ($ # 4 %&' 1 + 1&# # $ + 241&F&% # " 1 B 4 < % + % (1 % 24 1&# $ 2 + M$ 1 1 & ρ = ρ i 1 # 4 %&' 1 # + 8 ($ 5 + 4$ # M$ $ + #&+4 +& &* F$ %& % % 2 " 1 M$ + # ( 8 % + $& $ 2&+ 1 2? &2 F % # $&# 4 +&(1 5 $ &* 1 # # 4 %&' 1 # 5 1 # 1 #&+4 +& &* % 4 (1 " 1 + 241 2 +$ 4 &2&> %&' *? + F C < 2& M$ #&+4 b 4 1 4 &2&> %&' # 1 + #&+ : +" < % 4 %& 1 4 &2&> %&' & 1 +& $& F& $ #$%& 2 + 1 + % F&%& = +# F1 H&' 1 #&+ : % 2 + 4$ # RES ID=Rk1 R=24 Ohm PORTG P=1 GM=0.72539 GA=25.2 Deg 2 PORTG P=2 SUBCKT GM=0.3951 ID=ATF 1 GA=38.1265 Deg NET="f351432b" 1 3 MLIN ID=TL1 W=w mm L=L mm MSUB=RT6006 1% 4 $ > B 1 +&+ % 1 + F %$ %& + # & f (GHz) 1.4 1.401 1.402 1.403 1.404 1.405 1.406 1.407 1.408 1.409 1.41 1.411 1.412 1.413 1.414 1.415 1.416 1.417 1.418 1.419 1.42 1.4204 1.421 1.422 MLIN ID=TL2 W=w mm L=L mm MSUB=RT6006 CAP ID=Cs2 C=30 pF CAP ID=Cs1 C=30 pF RES ID=Rs2 R=47 Ohm ! w=1.306 L=4.666 |S11| (dB) -4.0728 -4.0716 -4.0703 -4.0691 -4.0679 -4.0666 -4.0654 -4.0641 -4.0629 -4.0616 -4.0603 -4.059 -4.0578 -4.0565 -4.0552 -4.0539 -4.0526 -4.0513 -4.05 -4.0487 -4.0473 -4.0468 -4.046 -4.0447 $/ ,$ ' + + % F&%& 0+ |S12| (dB) -22.851 -22.85 -22.849 -22.847 -22.846 -22.845 -22.843 -22.842 -22.841 -22.839 -22.838 -22.836 -22.835 -22.833 -22.832 -22.831 -22.829 -22.828 -22.826 -22.825 -22.823 -22.823 -22.822 -22.82 " +# H & ! F1 H&' + |S21| (dB) 14.839 14.832 14.824 14.817 14.809 14.801 14.794 14.786 14.779 14.771 14.764 14.756 14.749 14.741 14.734 14.726 14.719 14.711 14.704 14.696 14.689 14.686 14.682 14.674 =; RES ID=Rs1 R=47 Ohm MSUB Er=6.15 H=1.27 mm T=0.035 mm Rho=1 Tand=0.0027 ErNom=3.38 Name=RT6006 ! 3& ( # 8 1 + +& $& |S22| (dB) -50.545 -51.004 -51.488 -51.999 -52.54 -53.115 -53.729 -54.388 -55.099 -55.871 -56.715 -57.648 -58.69 -59.87 -61.232 -62.842 -64.814 -67.358 -70.953 -77.12 -91.597 -83.07 -76.238 -70.54 + Fn (dB) 0.2092 0.20932 0.20945 0.20958 0.2097 0.20983 0.20996 0.21009 0.21021 0.21034 0.21047 0.2106 0.21073 0.21086 0.21099 0.21112 0.21125 0.21138 0.21151 0.21165 0.21178 0.21183 0.21191 0.21204 +$1 # + Fnmin (dB) 0.20912 0.20926 0.20939 0.20952 0.20965 0.20979 0.20992 0.21005 0.21018 0.21032 0.21045 0.21058 0.21072 0.21085 0.21098 0.21111 0.21125 0.21138 0.21151 0.21164 0.21178 0.21183 0.21191 0.21204 f (GHz) 1.423 1.424 1.425 1.426 1.427 1.428 1.429 1.43 1.431 1.432 1.433 1.434 1.435 1.436 1.437 1.438 1.439 1.44 1.441 $ |S11| (dB) -4.0434 -4.042 -4.0407 -4.0393 -4.038 -4.0366 -4.0353 -4.0339 -4.0325 -4.0312 -4.0298 -4.0284 -4.027 -4.0256 -4.0242 -4.0228 -4.0214 -4.02 -4.0186 $ & B |S12| (dB) -22.819 -22.817 -22.816 -22.814 -22.813 -22.811 -22.81 -22.808 -22.807 -22.805 -22.804 -22.802 -22.801 -22.799 -22.798 -22.796 -22.794 -22.793 -22.791 $/ ,$ |S21| (dB) 14.667 14.659 14.652 14.645 14.637 14.63 14.622 14.615 14.608 14.6 14.593 14.586 14.579 14.571 14.564 14.557 14.549 14.542 14.535 ' " |S22| (dB) -67.124 -64.682 -62.782 -61.228 -59.914 -58.775 -57.772 -56.875 -56.064 -55.324 -54.644 -54.016 -53.432 -52.885 -52.373 -51.891 -51.435 -51.003 -50.593 H & Fn (dB) 0.21218 0.21231 0.21244 0.21258 0.21271 0.21285 0.21298 0.21312 0.21326 0.21339 0.21353 0.21367 0.21381 0.21394 0.21408 0.21422 0.21436 0.2145 0.21464 Fnmin (dB) 0.21218 0.21231 0.21244 0.21257 0.21271 0.21284 0.21297 0.2131 0.21324 0.21337 0.2135 0.21363 0.21377 0.2139 0.21403 0.21416 0.2143 0.21443 0.21456 3& A & 2 4 # 2 + (+ * % 1 1 %%&' # + + % F&%& + &# + ' &% 2 + % +& $ 11 * 1 F % # $&# # & 0+ 5 1 # 4 %&' 1 + 1&# 2(&0 + 2$5 ($ 4 # + # + 1 7 # 1 M$ + & +$F&%& 5 M$ F ( &% %&' + 4 # 8 ( + # 4 %&' 5 1 2 # ( # ( # F1 H&' # F$ 5# % +$ * 1 2? &2 1 F %$ %& 4 1 # 1 # 4 %&' 1 + +$2 M$ 1 4 % + # + 2 5 " 11 * # # # + % ( 1 4 &2&> %&' # 1 + % F&%& + # F1 H&' $+ 2 + $ < 2& " 241 1 4 &2 < 5 M$ + 1 %%& 1 + 4 82 + # 1 #&+ : M$ + 4 &2&> M$ + % + + 8 1 + 2'#$1 + 5 1 + $2 + # 1 + % F&%& F1 H&' % 2 1 + 1 & $# + # 1 + 1? + % % # + F$ # 1 +&+ " # 28+ ( 8 1 & 1 + () &* + # 1 4 &2&> %&' M$ + 8 M$ 1 # 4 %&' 1 # 5 1&# + 1 2 ) 4 +&(1 2 & # $ 2 # $&# % 4 (1 + + < −6 + () &* + # 1 +& $& 4 < −6 4 &2&> %&' + + 1 %%& + + 1 4 5 > < "69 4 $ &1&> # $ %$ # == # + # #&81 % 2 1 ! 1 +$1 # # 1 & $# # 1 + 1? 1 ! $ 1* 1 2 # M$ ?F 0 " 4 &2&> %&' + 4 4 %& + +& $& + B + $ * +* 1 $ $/ ,$ + # 1 + % F&%& ' +# H & 1 + % F&%& " + # F$ 5% 51 H & ! ! " H F1 H&' # +4$0+ # 1 4 &2&> %&' + 8 @6" G9A ρ = ";69=∠ ";7 ≠ ρ i @6" G A =, 5 3& ρ = " 99,∠9 " , ≠ ρ # 1 + 1? + # +2&+&' % % # + 4 1 $ * * 1 + 8# %<$ " , 22 5 1 1 %<$ 1 1 2(&0 + * 8 2 #&F&% # # & $# # "66 22" 1 1 & + + % F&%& +# F1 H&' ( # 2 +$ $ 4 M$ : 2 ) # 1 %& % + # 24 4$ # 4 %& 1 +& $& (1 f (GHz) 1.4 1.401 1.402 1.403 1.404 1.405 1.406 1.407 1.408 1.409 1.41 1.411 1.412 1.413 1.414 1.415 1.416 1.417 1.418 1.419 1.42 1.4204 1.421 1.422 1.423 1.424 1.425 1.426 1.427 1.428 1.429 1.43 1.431 1.432 1.433 1.434 1.435 1.436 1.437 1.438 1.439 1.44 1.441 |S11| (dB) -33.364 -33.438 -33.508 -33.574 -33.635 -33.691 -33.742 -33.789 -33.83 -33.866 -33.896 -33.921 -33.94 -33.954 -33.962 -33.965 -33.962 -33.954 -33.94 -33.92 -33.896 -33.884 -33.866 -33.831 -33.791 -33.747 -33.698 -33.644 -33.587 -33.526 -33.461 -33.392 -33.32 -33.245 -33.167 -33.086 -33.003 -32.917 -32.829 -32.74 -32.648 -32.555 -32.461 $ , |S12| (dB) -17.842 -17.835 -17.827 -17.82 -17.813 -17.806 -17.799 -17.792 -17.784 -17.777 -17.77 -17.763 -17.756 -17.749 -17.741 -17.734 -17.727 -17.72 -17.713 -17.706 -17.698 -17.696 -17.691 -17.684 -17.677 -17.67 -17.662 -17.655 -17.648 -17.641 -17.634 -17.626 -17.619 -17.612 -17.605 -17.597 -17.59 -17.583 -17.576 -17.568 -17.561 -17.554 -17.547 & B |S21| (dB) 14.139 14.132 14.126 14.119 14.113 14.106 14.1 14.094 14.087 14.081 14.074 14.068 14.062 14.055 14.049 14.043 14.036 14.03 14.024 14.017 14.011 14.008 14.005 13.998 13.992 13.986 13.98 13.973 13.967 13.961 13.955 13.948 13.942 13.936 13.93 13.924 13.917 13.911 13.905 13.899 13.893 13.887 13.881 $/ ,$ ' " H " , ($ # 4 %&' # 1 #&+ : F& 1 5 $ 4 % 1 F % # $&# % 2 + |S22| (dB) -30.599 -30.636 -30.673 -30.71 -30.747 -30.783 -30.818 -30.853 -30.888 -30.922 -30.956 -30.989 -31.021 -31.053 -31.084 -31.115 -31.145 -31.175 -31.204 -31.232 -31.26 -31.271 -31.287 -31.313 -31.338 -31.363 -31.387 -31.41 -31.433 -31.454 -31.475 -31.495 -31.515 -31.533 -31.551 -31.567 -31.583 -31.598 -31.612 -31.625 -31.637 -31.648 -31.659 H & Fn (dB) 0.34952 0.34936 0.3492 0.34903 0.34887 0.34871 0.34855 0.34839 0.34823 0.34807 0.34791 0.34775 0.3476 0.34744 0.34728 0.34712 0.34697 0.34681 0.34665 0.3465 0.34634 0.34628 0.34619 0.34603 0.34588 0.34572 0.34557 0.34542 0.34526 0.34511 0.34496 0.34481 0.34466 0.3445 0.34435 0.3442 0.34405 0.3439 0.34375 0.3436 0.34346 0.34331 0.34316 Fnmin (dB) 0.2087 0.20883 0.20896 0.20909 0.20922 0.20935 0.20948 0.20961 0.20975 0.20988 0.21001 0.21014 0.21027 0.2104 0.21053 0.21066 0.21079 0.21092 0.21105 0.21118 0.21131 0.21137 0.21145 0.21158 0.21171 0.21184 0.21197 0.2121 0.21223 0.21236 0.21249 0.21262 0.21275 0.21288 0.21301 0.21314 0.21327 0.2134 0.21353 0.21367 0.2138 0.21393 0.21406 3& 1 # 2(&0 < % 2(& # 1 + 4 82 +!# 1 +&+ M$ # # # 1 +& $& 2 = B R "67 B 2& ∠ ;"=6 " 9" 79∠6="96 " 6 6=∠ ;" 79 " ; ∠ − = ";= ,# R " # J R 7" = # L! LR G66"= # L! LR G6 " =; # 2 + M$ WR " , 5 ∆ = " 976 ≤ 4 1 M$ 1 241&F&% # + 8& % #&%& 12 + (1 " 1 +& $& F& $ + 4$ # (+ * 1 + %& %$ F %& + # + (&1&# # # F$ 5 # % 5 1 + %? %$1 + # $&# + # %& 1 + % F&%& +# F1 H&' # F$ 5# % M$ + 4$ # 1 & 4 2 1 241&F&% # # # 1 &' + (1 5 4 ( $ F % # $&# # 2& # +4 % &* 2 " 2 + 4$ # 4 %& 1 # + & % #&%& 12 + (1 4 %$ 1M$& % F&%& # F1 H&' # F$ # % 1 &# " Swp Max 1.4GHz 0.8 2. 0 6 0. 2. / 1.0 & + "! !!' 0 0. 6 0.8 1.0 Swp Max 1.4GHz 0 0. 4 0. 4 3. 0 4. 3. 0 5.0 4. 0.2 0.2 10.0 0 5.0 .0 10.0 5.0 4.0 3.0 2.0 1.0 0.8 0.6 -. -. ! -2 -1.0 $ -. Swp Min 1.4GHz - ! 8 9414: &'- !'" ' 0 !' ! 0 %0"5 ! 1 +& $& 4 + 2 # M$ + ( $ -0.8 -0 .6 -2 .0 .0 .4 -0 Swp Min 1.4GHz -1.0 -0.8 6 -0 . $ -3 ! 0.4 0 0.2 10.0 5.0 4.0 3.0 2.0 1.0 0.8 -4 .0 -5. 0 . -0 GMN * ATF35143_ro SCIR2 * ATF35143_ro 2 -0. .0 0 0.6 -10.0 NFCIR[2,0.3] ATF35143_ro 4 -3 0.4 SCIR1 * ATF35143_ro -10.0 2 -0. -4 .0 -5. 0 0.2 10.0 + 1 #&+ : # 1 1 + 4 82 #$ !''$ ! !'" 4 # # 4 %&' # # 5 + 1&# # 1 241&F&% # # +# F1 H&' + $#& # + 1 4$ & M$ + 1 + , M$ % +& 4 ( $&# " '2 + *& $ 2 5 % 24 2&+ ($ # 4 %&' @- A 5 ( ) &* 1 # 1 # # # 4 %&' 1 # # ( + 1 M$ ρ = " 99,∠9 " , ≠ ρ + # + % % # $ &24 # %& # O R 9 <2" 6= $& & ρ& ! $ , " B " ρ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o + # 1? +# +2&+&' 5 % o + # 1? +# +2&+&' 5 ( (& + o + # 1? +# +2&+&' % # + # + $( + 4 4 + + # +# + & " 1 1 " 1 1 " 1 4 (1 2 4 & %&4 1 # $+ 1? + # +2&+&' % 1 2 +% % # + + M$ 1 < # F ( &% + 1 2 + #&+4 # * 1 + 2 1&> # + # + + % 24 + M$ 4$ # #&F & # 1 + * 1 + ( &# + 1 +&2$1 %&' 5 4$ # 4 * % * & %& + 1 + % % ?+ &% + F& 1 + # 1 %& %$& " 1 & % * & # 241 1? + # +2&+&' 4 *& # 1 $2 +$+ %& 1 # 1 2 : # 1 %& %$& $ &# $ + 40 #&# + # 4 #& + # 1 % 1&# # # 1 +$+ 241 # " # M$ 1 +$+ 241 # + 4 5 % $ &# * $ # 40 #&# + ( + % 4 (1 " ; 5 5 M$ # 2 2 2 + + &%%& + %$ 1 2 : F& 1 # 1 %& %$& +# % 2 +4 241 $ # # # 4 %&' F 2 # E &% 2 4 1? + # +2&+&' " 9414:41 ( ! !'" )$' & !' $&% & #$ $ +'$ 0 " '"4 2 < 2 + #&%< + 4$ # 241 * & + &4 + # # + 4 # 4 1 &24 # %& O! # 1 4 &2 4 1 &24 # %& # 9 <2 # 1 + % % + # 1 %& %$& F& 1" + + $ + #&+ : $ &1&> 2 + $ + $( # TS= %& %$& (& 4 1 1 % $ 1? # TS7 # 2 # M$ + M$ # , 6 L9>1:9 9 Ω 6 6= ! < 8 =@ +& +$+ & $&2 + 8 =@ # : = # 1 4 1 B& $ & * + + &; A = " & " 1 + &24 # %& + # 1 1? 4 %& 5 # +4$0+ # 1 1? ! 4 /8 * 2 + % 1%$1 2 + 4$ # # $ 6& Z 6" G 9 1 1 &24 # %& & * + " # TS7 5 # 1 + $( %& : ; = : + &: #2& 4 1 1 # TS=" ,*4 +& $ 1 8 8; + M$ # + &; A = 8 #2& %& a: ; = 8 @: + &: ,*4 A=8 2 1&> # " 1 5 1 &2 & & =8 & ; = &8 @6" G=A a: # +4 ) # ,6 ,*4 @6" G,A @ + &: ,*4 A @6" G;A 8 : ,*4 = = ; 8 8 8 ,*4 = = 8 a8 8 8 ; = 9 a8 ,*4 = 8 a8 @6" G ,*4 = 9 a8 A ,*4 @6" G 1 %81%$1 # 1 + &24 # %& + # 1 + 1? + O 5 O 2 + M$ 1 % F&%& # F$ # 1 4 &2 4 + ρ = " 99,∠9 " , +? 1 &24 # %& # F$ O R9 x + O ! = +4 % 8 8 =9 a ,*4 =9 a # A F1 H&' 2 1&> # +ρ = ", 69 + ) " =6 −ρ ", 69 = 7=" 7,6Ω ", 69 = ;" ;=Ω " =6 * > 1&> # 1 + $#& &241 2 8 + # 241 +&2$1 %&' % 1 +$4$ + ' &% # %'2 * # 1# + 11 ' &% " + 4 1 * # # # 4 %&' 1 # + +& % & %&# 1 # 4 %&' # 1 4 &2 + 8 &241 2 + # # # 4 %&' 1 # $+ 4 &2&> & # % 2 () &* M$ 1 + 4 82 + L! L 5 L! L + 4 +&(1 " +&2&+2 1 + * 1 + M$ + 2 #&F&% 8 #$ 14 % + # &24 # %& + # 1 + 1? + M$ % 2 + 4$ # 4 %& * & 8 +& * 1 + % 1%$1 # + 4 *& 2 1 # + 11 ' &% " ! (& # 4 %&' 1 # % 1? + &# 1 + # 1? + &# 1 + 5 1 28+ 4 'H&2 + 4 &2&> %&' + 8 1 + &F&% &* 2 # 1 + 1 +& $& # # TLIN ID=TL1 Z0=47.87 Ohm EL=90 Deg F0=1.42 GHz PORT P=1 Z=50 Ohm PORTG P=2 GM=0.6559 GA=308.3 Deg TLOC ID=TL2 Z0=27.35 Ohm EL=45 Deg F0=1.42 GHz ! +& $& f (GHz) 1.4 1.401 1.402 1.403 1.404 (1 2$ + |S11| (dB) -23.432 -23.865 -24.32 -24.802 -25.313 $ 1 + 4 82 48 " +!4 1 |S12| (dB) -0.019748 -0.017874 -0.01609 -0.014398 -0.012797 ,7 & # F %$ %& + # & |S21| (dB) -0.019748 -0.017874 -0.01609 -0.014398 -0.012797 0+ |S22| (dB) -23.432 -23.865 -24.32 -24.802 -25.313 f (GHz) 1.405 1.406 1.407 1.408 1.409 1.41 1.411 1.412 1.413 1.414 1.415 1.416 1.417 1.418 1.419 1.42 1.4204 1.421 1.422 1.423 1.424 1.425 1.426 1.427 1.428 1.429 1.43 1.431 1.432 1.433 1.434 1.435 1.436 1.437 1.438 1.439 1.44 1.441 $ |S11| (dB) -25.857 -26.438 -27.061 -27.733 -28.463 -29.259 -30.135 -31.108 -32.2 -33.444 -34.882 -36.576 -38.608 -41.057 -43.768 -45.429 -45.258 -44.146 -41.449 -38.923 -36.816 -35.061 -33.574 -32.29 -31.162 -30.159 -29.255 -28.434 -27.682 -26.988 -26.344 -25.743 -25.18 -24.651 -24.151 -23.678 -23.229 -22.801 / & 11 + 4$ # 4 %& |S12| (dB) -0.011289 -0.009874 -0.0085525 -0.007325 -0.0061921 -0.0051544 -0.0042124 -0.0033665 -0.0026174 -0.0019655 -0.0014114 -0.00095554 -0.00059841 -0.00034053 -0.00018237 -0.00012443 0 -0.00016717 -0.00031108 -0.0005566 -0.00090421 -0.0013543 -0.0019075 -0.002564 -0.0033244 -0.0041891 -0.0051584 -0.0062329 -0.0074129 -0.0086988 -0.010091 -0.01159 -0.013196 -0.014909 -0.016731 -0.01866 -0.020698 -0.022845 " 1 ($ |S21| (dB) -0.011289 -0.009874 -0.0085525 -0.007325 -0.0061921 -0.0051544 -0.0042124 -0.0033665 -0.0026174 -0.0019655 -0.0014114 -0.00095554 -0.00059841 -0.00034053 -0.00018237 -0.00012443 0 -0.00016717 -0.00031108 -0.0005566 -0.00090421 -0.0013543 -0.0019075 -0.002564 -0.0033244 -0.0041891 -0.0051584 -0.0062329 -0.0074129 -0.0086988 -0.010091 -0.01159 -0.013196 -0.014909 -0.016731 -0.01866 -0.020698 -0.022845 & # 4 %&' . ( &# |S22| (dB) -25.857 -26.438 -27.061 -27.733 -28.463 -29.259 -30.135 -31.108 -32.2 -33.444 -34.882 -36.576 -38.608 -41.057 -43.768 -45.429 -45.258 -44.146 -41.449 -38.923 -36.816 -35.061 -33.574 -32.29 -31.162 -30.159 -29.255 -28.434 -27.682 -26.988 -26.344 -25.743 -25.18 -24.651 -24.151 -23.678 -23.229 -22.801 " 1 +&2$1 %&' % " 1? + &# 1 +" 1 +& $& 4 + + & #$%& 8 1 # # 4 1 &> %&' 5 1 % # + # # # + % 41 5 + 4 &2&> 8 1 #&+ : 4 M$ +$ & %1$+&' F % 1 2 + 4 +&(1 1 # 4 %&' 1 # # 1 241&F&% # " 1 +& $& +M$ 28 &% + 4$ # 4 %& % 2 M$ # ? 1 #&+ : ,9 RES ID=R1 R=50 Ohm CAP ID=C2 C=1e4 pF TLIN ID=TL3 Z0=99.7 Ohm EL=90 Deg F0=1.42 GHz CAP ID=C1 C=100 pF PORT P=1 Z=50 Ohm TLIN ID=TL1 Z0=48.06 Ohm EL=90 Deg F0=1.42 GHz TLOC ID=TL2 Z0=28.04 Ohm EL=45 Deg F0=1.42 GHz ! $ 78 " & " +4$0+ # 1 f (GHz) 1.4 1.401 1.402 1.403 1.404 1.405 1.406 1.407 1.408 1.409 1.41 1.411 1.412 1.413 1.414 1.415 1.416 1.417 1.418 1.419 1.42 1.4204 1.421 1.422 1.423 1.424 1.425 1.426 4 &2&> %&' 1 + 4 82 |S11| (dB) -26.442 -26.87 -27.32 -27.795 -28.3 -28.837 -29.41 -30.025 -30.689 -31.409 -32.196 -33.062 -34.028 -35.116 -36.363 -37.822 -39.581 -41.794 -44.777 -49.366 -59.718 -77.467 -57.364 -48.558 -44.267 -41.403 -39.25 -37.523 PORTG P=2 GM=0.6559 GA=308.3 Deg . H & + ! + 2$ + |S12| (dB) -0.0098638 -0.008939 -0.0080581 -0.0072212 -0.0064287 -0.0056808 -0.0049779 -0.0043201 -0.0037078 -0.0031412 -0.0026206 -0.0021463 -0.0017186 -0.0013377 -0.0010038 -0.00071737 -0.00047855 -0.00028762 -0.00014486 0 0 0 0 0 -0.00016285 -0.00031465 -0.00051646 -0.00076853 , & % ' & $ %&' |S21| (dB) -0.0098638 -0.008939 -0.0080581 -0.0072212 -0.0064287 -0.0056808 -0.0049779 -0.0043201 -0.0037078 -0.0031412 -0.0026206 -0.0021463 -0.0017186 -0.0013377 -0.0010038 -0.00071737 -0.00047855 -0.00028762 -0.00014486 0 0 0 0 0 -0.00016285 -0.00031465 -0.00051646 -0.00076853 |S22| (dB) -26.442 -26.87 -27.32 -27.796 -28.3 -28.837 -29.41 -30.025 -30.689 -31.409 -32.196 -33.063 -34.028 -35.116 -36.363 -37.822 -39.581 -41.794 -44.777 -49.366 -59.719 -77.466 -57.363 -48.558 -44.267 -41.403 -39.25 -37.523 f (GHz) 1.427 1.428 1.429 1.43 1.431 1.432 1.433 1.434 1.435 1.436 1.437 1.438 1.439 1.44 1.441 $ |S11| (dB) -36.081 -34.843 -33.757 -32.791 -31.921 -31.128 -30.401 -29.729 -29.104 -28.521 -27.973 -27.457 -26.97 -26.507 -26.068 4 1 +& $& 4 # ( 8 4 + 1 + 2&+2 +" 11 2 # V1& ! $ |S12| (dB) -0.0010711 -0.0014245 -0.0018289 -0.0022846 -0.0027918 -0.0033509 -0.0039619 -0.0046253 -0.0053412 -0.0061099 -0.0069316 -0.0078065 -0.008735 -0.0097172 -0.010753 & " & " . " V1& ' |S22| (dB) -36.081 -34.843 -33.757 -32.791 -31.921 -31.128 -30.401 -29.729 -29.104 -28.521 -27.973 -27.457 -26.97 -26.507 -26.068 " H & + + &241 2 1 #&+ : & 2 #& 1 $+ # 1? + 1 +" + + 1 + +4 %&F&% %& + 10% &% + # 1 + 1? + 4 82 + F?+&% + %< 5 1 # + + < 8 * 1&0 # + # $ < 2& M$ 4 4 %& " 1 +& $& F& $ + 2$ + $ % 4 $ # 1 2&+2 < 0 " ' . ! 4$ # (+ * M$ + % + & & #$%& 1 1 # 1 + 1? + 2&% + &4 $ + % + $ &24 # %& # 1 1? 1 1 & $# 10% &% 5 1 F 4 2 4 4 %& 8 1 + #&2 +& + F?+&% + # + # |S21| (dB) -0.0010711 -0.0014245 -0.0018289 -0.0022846 -0.0027918 -0.0033509 -0.0039619 -0.0046253 -0.0053412 -0.0061099 -0.0069316 -0.0078065 -0.008735 -0.0097172 -0.010753 ( 2 + 1 + +& $& + #&2 +& ,; . " ! M) G + +4 %&F&% %& + # 1 2 & 1 # F ( &% %&' &# " 2(&0 + 1 +4 %&F&% 8 1 %$ %& # ( ) " 4 & # + +# + 1 1 1? " +4 1 + &24 # %& + % 1%$1 # + 24 # %& (Ω ) ,, 7= = 7 $ & $# 10% &% @gA , , 79 7% . %<$ @22A 6 ,;9 ,,7, 7 976 . & $# @22A 9 , 7 ==9 === " & !& &241 2 2 + % 1? + 1 + $+ # 1 + #&2 +& + # 1? % 1%$1 # + + 4& # 2$%< # 4 %&' 4 1 M$ + 4 % # 4 &2&> 2 #& + FC 1 + #&2 +& + # 1 + 1? + 4 2 ) 1 " +4$0+ # 1 4 &2&> %&' + ( & 1 +& $& +M$ 28 &% RES ID=R1 R=50 Ohm GM_old=0.645 GA_old=309.7 w4a=2.773 w3a=0.5333 MLIN ID=TL2 W=0.4213 mm L=26.79 mm MSUB=RT6006 CAP ID=C2 C=1000 pF PORT P=1 Z=50 Ohm CAP ID=C1 C=100 pF MLIN ID=TL1 W=w3a mm L=19.06 mm MSUB=RT6006 2 3 1 MSUB Er=6.15 H=1.27 mm T=0.035 mm Rho=1 Tand=0.0027 ErNom=3.38 Name=RT6006 ! 2 + 4$ # 4 %& $ >8 " 1 + $ * + #&2 +& # +2&+&' 1 &24 # %& λS7 λ S= <% MLEF ID=TL4 W=w4a mm L=10.7 mm MSUB=RT6006 MCROSS ID=TL3 W1=w3a mm W2=0.336 mm W3=w3a mm W4=w4a mm ? $ PORTG P=2 GM=0.6559 GA=308.3 Deg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f (GHz) 1.4 1.401 1.402 1.403 1.404 1.405 1.406 1.407 1.408 1.409 1.41 1.411 1.412 1.413 1.414 1.415 1.416 1.417 1.418 1.419 1.42 1.4204 1.421 1.422 1.423 1.424 1.425 1.426 1.427 1.428 1.429 1.43 1.431 1.432 1.433 1.434 1.435 1.436 1.437 1.438 1.439 |S11| (dB) -28.404 -28.797 -29.21 -29.643 -30.099 -30.58 -31.089 -31.629 -32.203 -32.817 -33.474 -34.182 -34.945 -35.773 -36.673 -37.654 -38.721 -39.872 -41.086 -42.293 -43.342 -43.664 -43.988 -43.998 -43.366 -42.315 -41.096 -39.866 -38.695 -37.608 -36.607 -35.687 -34.84 -34.058 -33.332 -32.657 -32.026 -31.434 -30.877 -30.351 -29.853 |S12| (dB) -0.10019 -0.099772 -0.099377 -0.099007 -0.098662 -0.098342 -0.098048 -0.097779 -0.097535 -0.097318 -0.097126 -0.096961 -0.096821 -0.096709 -0.096622 -0.096563 -0.09653 -0.096524 -0.096546 -0.096594 -0.09667 -0.096708 -0.096774 -0.096905 -0.097065 -0.097252 -0.097468 -0.097712 -0.097984 -0.098285 -0.098615 -0.098973 -0.099361 -0.099778 -0.10022 -0.1007 -0.10121 -0.10174 -0.10231 -0.1029 -0.10353 |S21| (dB) -0.10019 -0.099772 -0.099377 -0.099007 -0.098662 -0.098342 -0.098048 -0.097779 -0.097535 -0.097318 -0.097126 -0.096961 -0.096821 -0.096709 -0.096622 -0.096563 -0.09653 -0.096524 -0.096546 -0.096594 -0.09667 -0.096708 -0.096774 -0.096905 -0.097065 -0.097252 -0.097468 -0.097712 -0.097984 -0.098285 -0.098615 -0.098973 -0.099361 -0.099778 -0.10022 -0.1007 -0.10121 -0.10174 -0.10231 -0.1029 -0.10353 ,, |S22| (dB) -28.111 -28.482 -28.869 -29.273 -29.695 -30.137 -30.601 -31.087 -31.599 -32.136 -32.702 -33.297 -33.922 -34.578 -35.26 -35.966 -36.682 -37.392 -38.065 -38.658 -39.119 -39.253 -39.39 -39.431 -39.234 -38.829 -38.267 -37.605 -36.89 -36.158 -35.431 -34.723 -34.041 -33.388 -32.765 -32.172 -31.608 -31.071 -30.559 -30.071 -29.605 # % # 4 %&' Fn (dB) 0.093477 0.093607 0.093738 0.093869 0.094001 0.094132 0.094264 0.094396 0.094529 0.094661 0.094794 0.094927 0.095061 0.095195 0.095329 0.095463 0.095597 0.095732 0.095867 0.096003 0.096138 0.096193 0.096274 0.09641 0.096547 0.096683 0.09682 0.096958 0.097095 0.097233 0.097371 0.097509 0.097648 0.097787 0.097926 0.098065 0.098205 0.098345 0.098485 0.098626 0.098767 f (GHz) 1.44 1.441 |S11| (dB) -29.38 -28.93 |S12| (dB) -0.10418 -0.10487 |S21| (dB) -0.10418 -0.10487 9414> &'- !'" ' 0 !' ! 0 %0"5 ! |S22| (dB) -29.159 -28.732 Fn (dB) 0.098908 0.099049 #$ !'& "! !'" 2 + < *&+ + % + & # 4 1 +&+ 1 + 2& 1 + # # 5 + 1&# # 1 #&+4 +& &* %$5 &24 # %& + O R 9 <2 % 1 2 5 # 4 %&' 4 +&(1 4 % + $& 1 -8H&2 +F %& # %& @- A" 1 & $ 1 M$ 1 % + & 1 & #$%& 1? + 1 + 2(&0 4 % 8 $&# 4 1 M$ + # ( 8 1% > $ % 24 2&+ $ ($ # 4 %&' 5 $ &* 1 # $&# % 4 (1 " ρ 6= $& & ρ ! 6 $ 6T1 ? " B " & '2 + *& ? 4 % + $& 1 28H&2 #&+4 +& &* + # ( %$241& 1 +& $& ρ = ( 1 # + ? M$ 1 2? &2 &* 1 # 1 % F&%& − # F1 H&' # F$ + − = ρi 1 M$ 1 ρ ρ %& # 4 %& 1 + 1&# # 1 i ρ ρ $&# 4 +&(1 4 ρ = + + % + 1% > $ % 24 2 #& + FC F& 1 1 % F&%& + +F %$ %&' @6" G A ρ # (? # + & $ 1 ρ & 4 M$ # ( i = ρi @6" G 6A $? 1 ' &% 2 4 %'2 + 4$# % 24 ( % + & 2&+ 0+ 5 $ &* 1 # $&# % 4 (1 4 1 M$ + 4 &2&>' % 2(& # $ 4 % 1 + * 1 + +4 % # 1 % 1%$1 # ' &% 2 " 1 # F1 H&' # % M$ # ( ρ = ";69=∠ ";7 " # 4 1 +&+ % 1 + 2& 1 + # + 1&# # 1 241&F&% # % 241 + 241 8 1? + # +2&+&' + $(+ * ># ( (& + 5 % # + # + 4 1 + > + % 2 # + 1 4$ 6" "7" 9414>41 ( ! !'" )$' & !' $&% & #$ 1 & $ 1 M$ 1 % + # 1 #&+ : # 1 # + 1&# + $ &1&> 8 $ # % 24$ &24 # %& % % ?+ &% O& * + $&# 1 & $# λ S = &24 # %& O! % 2( + + $(+ + ? 1 +& $& $ +'$ 0 " '"4 # # # 4 %&' 1 # 4 + # $ 1? # +2&+&' # $ 1? # +2&+&' % # 4 1 1 " 1 +M$ 2 # 1 # # # 4 %&' # 1 & $# λ S 7 %& %$& (& # 1 # F 2 # 4 6 λY : 9 Ω λY ; 6 6 ! < * 2 + % 1%$1 2 + 4$ # 8 +& +$+ & $&2 + 8 =@ # : = 5+ 4 " 4 # ? 2 + 1 +& $& 4 ρ = ";6∠ ";7 $ 1 B& $ & * + 6" G 1 1 &24 # %& & * + #4 # 4 1 % F&%& &24 # %& # 9 x" # TS7 5 # 1 + $( %& : ; = : + &: #2& +& $ 1 8 =@ 4 1 1 # TS=" ,*4 + &; A = 8 8; + M$ # + &; A = 8 #2& # 1 4 %& a: ; = 8 @: + &: ,*4 A=8 @ + &: 2 1&> # 1 5 1 &2 & & =8 & ; = &8 # +4 ) # & 1 + &24 # %& + # 1 1? 4 %& # +4$0+ # 1 1? # $ 1 # # + 1&# # 1 4 &2 F1 H&' # % # 1 4 &2 # = Z @6" G 9A a: ,*4 @6" G A ,*4 A @6" G 7A 8 : ,*4 = ; 8 = 8 8 ,*4 = 8 ,*4 = 9 a8 = 8 a8 ,*4 ";7 4 1 8 @6" G ;A ,*4 = 9 a8 ,*4 @6" G =A = = " 69 =7 " ; " 1 4 &2 &241 2 1 + () &* # 1 4 % F&%& ρ 8 ; + % + + + ( M$ ρ = ";6∠ 5 8 = 8 a8 4 + # +4$0+ # 1 %81%$1 ' &% %&' # 1 2&+2 # + 4 #&%< + 1 %81%$1 ' &% " D # + 1&# + # %& 1 M$ + 8 % # F1 H&' ρ M$ 4 % 1 = ρ i = ";69=∠66=" # 1 + &24 # %& + # 1 + 1? + + 8 1 4 4 # +&2$1 1 5 * +& + ( & 5 M$ %$ M$ 1 4$ # # % # 1 +&+ # ( 8+ % # % 1 B& $ 6" G " 1 * 1 # + % F&%& + g " 1 4$ # + 1&# &24 # %& # 1 + % % + # + 1&# " 1 4 + 1 +& $& + 4 82 +!4 1 4 # # 4 %&' & #&% M$ < 5 2$5 ($ # 4 %&' 1 ## 1 # # # 4 %&' 5 1 + 2& 1 + # + 1&# " +M$ 2 # 1 # # # 4 %&' 1 + 1&# % " PORTG P=1 GM=0.7358 GA=338.3 Deg TLIN ID=TL1 Z0=81.05 Ohm EL=90 Deg F0=1.42 GHz + 8 # 4 # # # + 1&# # 4 %&' 1 +& $& 1? + &# O R9 x + + 1 + (& 1 + L! L z L! L z G; # 5 1 M$ 5 1 +&+ 1 * >M$ F& $ + 4$ # 4 %& 1 1 + $ * > &241 2 # PORT P=2 Z=50 Ohm TLOC ID=TL2 Z0=42.07 Ohm EL=45 Deg F0=1.42 GHz ! 4 %& 1 # M$ 1 $ 8 " 1 +& $& (1 + 2$ + # 4 %&' $+ # 1? + # f (GHz) 1.4 1.401 1.402 1.403 |S11| (dB) -25.853 -26.28 -26.73 -27.206 & . 1 + +$1 # + # 1 +&2$1 %&' " +2&+&' &# 1 + + )$+ ( + |S12| (dB) -0.0113 -0.01024 -0.0092306 -0.0082719 |S21| (dB) -0.0113 -0.01024 -0.0092306 -0.0082719 1 |S22| (dB) -25.853 -26.28 -26.73 -27.206 11 + 4$ # +4 # " f (GHz) 1.404 1.405 1.406 1.407 1.408 1.409 1.41 1.411 1.412 1.413 1.414 1.415 1.416 1.417 1.418 1.419 1.42 1.4204 1.421 1.422 1.423 1.424 1.425 1.426 1.427 1.428 1.429 1.43 1.431 1.432 1.433 1.434 1.435 1.436 1.437 1.438 1.439 1.44 1.441 $ |S11| (dB) -27.71 -28.247 -28.819 -29.434 -30.096 -30.815 -31.6 -32.464 -33.426 -34.51 -35.75 -37.201 -38.946 -41.137 -44.08 -48.572 -58.423 -74.297 -57.484 -48.242 -43.86 -40.957 -38.783 -37.043 -35.592 -34.348 -33.258 -32.288 -31.415 -30.621 -29.893 -29.22 -28.594 -28.01 -27.462 -26.946 -26.459 -25.997 -25.557 > |S12| (dB) -0.0073643 -0.006508 -0.0057033 -0.0049504 -0.0042497 -0.0036014 -0.0030058 -0.0024632 -0.0019737 -0.0015378 -0.0011556 -0.00082744 -0.00055357 -0.00033426 -0.00016976 0 0 0 0 0 -0.00017857 -0.00034839 -0.00057483 -0.00085812 -0.0011985 -0.0015963 -0.0020517 -0.0025649 -0.0031362 -0.0037658 -0.0044541 -0.0052011 -0.0060071 -0.0068725 -0.0077973 -0.0087819 -0.0098265 -0.010931 -0.012096 & " |S21| (dB) -0.0073643 -0.006508 -0.0057033 -0.0049504 -0.0042497 -0.0036014 -0.0030058 -0.0024632 -0.0019737 -0.0015378 -0.0011556 -0.00082744 -0.00055357 -0.00033426 -0.00016976 0 0 0 0 0 -0.00017857 -0.00034839 -0.00057483 -0.00085812 -0.0011985 -0.0015963 -0.0020517 -0.0025649 -0.0031362 -0.0037658 -0.0044541 -0.0052011 -0.0060071 -0.0068725 -0.0077973 -0.0087819 -0.0098265 -0.010931 -0.012096 & |S22| (dB) -27.71 -28.247 -28.819 -29.434 -30.096 -30.815 -31.6 -32.464 -33.426 -34.51 -35.75 -37.201 -38.946 -41.137 -44.08 -48.572 -58.423 -74.297 -57.484 -48.242 -43.86 -40.957 -38.783 -37.043 -35.592 -34.348 -33.258 -32.288 -31.415 -30.621 -29.893 -29.22 -28.594 -28.01 -27.462 -26.946 -26.459 -25.997 -25.557 . ! 4 % # 8 < : #& 1 + 1 2 +# 1 # # 4 1 &> %&' % % # + 1 # # # 1 +&+ +? % 2 1 + % # + # + # # + % 41 4 * % 2 & F1$5 +$ & %1$+&' 1 + % #&%& + # # 4 %&' # 1 # # + 1&# " * >+&2$1 # L! L z L! L z G # % 2 + 4$ # (+ * #&+2& $5 % +&# (1 2 1 # 4 %&' $ M$ +& $ +& # 2$5 ($ " 4 + # # + 4 &2&> 8 1 2 : # 1 + 1? + 4 2 ) $ 4 % 1 # 4 %&' 5 M$ %$ 2 5 + 1 # 4 %&' 2 5 + 8 1 2 # + $ &# # # 1 M$ + #&+4 # 8 1 < # 1 F ( &% %&' " +4$0+ # 1 4 &2&> %&' M$ # 1 +& $& # # # 4 %&' # + 1&# 6 CAP ID=C1 C=1e4 pF CAP ID=C2 C=1e4 pF RES ID=R1 R=12 Ohm TLIN ID=TL3 Z0=100 Ohm EL=90 Deg F0=1.42 GHz TLIN ID=TL2 Z0=81.05 Ohm EL=90 Deg F0=1.42 GHz CAP ID=C3 C=1000 pF PORTG P=2 GM=0.7358 GA=338.3 Deg ! 1 2 ) $ $8 TLOC ID=TL1 Z0=42.14 Ohm EL=45 Deg F0=1.42 GHz " & . ' (1 M$ + 2$ + % & $ %&' + 4$ # * % 2 $ 4 % 1 # 4 %&' M$ # # L! L zL! L z G; # " f (GHz) 1.4 1.401 1.402 1.403 1.404 1.405 1.406 1.407 1.408 1.409 1.41 1.411 1.412 1.413 1.414 1.415 1.416 1.417 1.418 1.419 1.42 1.4204 |S11| (dB) -25.38 -25.805 -26.253 -26.727 -27.229 -27.763 -28.334 -28.947 -29.608 -30.325 -31.109 -31.972 -32.933 -34.016 -35.257 -36.709 -38.458 -40.655 -43.61 -48.136 -58.177 -76.042 |S12| (dB) -0.012603 -0.011426 -0.010305 -0.0092386 -0.0082286 -0.007275 -0.0063781 -0.0055384 -0.0047562 -0.004032 -0.0033663 -0.0027593 -0.0022114 -0.0017232 -0.0012949 -0.0009270 -0.0006199 -0.0003739 -0.0001896 0 0 0 7 PORT P=1 Z=50 Ohm " # +4$0+ # 1 |S21| (dB) -0.012603 -0.011426 -0.010305 -0.0092386 -0.0082286 -0.007275 -0.0063781 -0.0055384 -0.0047562 -0.004032 -0.0033663 -0.0027593 -0.0022114 -0.0017232 -0.0012949 -0.0009270 -0.0006199 -0.0003739 -0.0001896 0 0 0 H & 4 &2&> %&' |S22| (dB) -25.38 -25.805 -26.253 -26.727 -27.229 -27.763 -28.334 -28.947 -29.608 -30.325 -31.109 -31.972 -32.933 -34.016 -35.257 -36.709 -38.458 -40.655 -43.61 -48.136 -58.177 -76.047 f (GHz) 1.421 1.422 1.423 1.424 1.425 1.426 1.427 1.428 1.429 1.43 1.431 1.432 1.433 1.434 1.435 1.436 1.437 1.438 1.439 1.44 1.441 $ |S11| (dB) -56.726 -47.629 -43.277 -40.387 -38.218 -36.481 -35.031 -33.787 -32.697 -31.727 -30.853 -30.058 -29.328 -28.654 -28.027 -27.442 -26.892 -26.375 -25.886 -25.422 -24.981 ? & |S12| (dB) 0 0 -0.0002046 -0.0003977 -0.0006551 -0.0009771 -0.0013642 -0.0018166 -0.0023349 -0.0029192 -0.0035701 -0.0042878 -0.0050728 -0.0059254 -0.006846 -0.0078349 -0.0088925 -0.010019 -0.011215 -0.012481 -0.013817 " " B& 12 M$ # % * & 1 + 1? # 4 %&' 5 1 &* 1 # $&# & & "# |S21| (dB) 0 0 -0.0002046 -0.0003977 -0.0006551 -0.0009771 -0.0013642 -0.0018166 -0.0023349 -0.0029192 -0.0035701 -0.0042878 -0.0050728 -0.0059254 -0.006846 -0.0078349 -0.0088925 -0.010019 -0.011215 -0.012481 -0.013817 . " |S22| (dB) -56.726 -47.629 -43.277 -40.387 -38.218 -36.481 -35.031 -33.787 -32.697 -31.727 -30.853 -30.058 -29.328 -28.654 -28.027 -27.442 -26.892 -26.375 -25.886 -25.422 -24.981 ' + &# 1 + 1 +4 * < 11 $ % 24 2&+ % 2 F % 2( +" + + # ( 8 4 + 1 + +4 %&F&% %& + 10% &% + # 1 + 1? + %< 5 1 # 1 + 2&+2 +" + + < 8 * 1&0 # + # $ < 2& 11 2 # V1& % 2 + *& 4 # + & +" + # V1& ( 24 # %& (Ω ) = 7 2 + 1 + +& $& + #&2 +& & $# 10% &% @gA , , 79 9 7 $ % +4 H & 1 + 40 #&# + 1 4 82 + F?+&% + M$ 4 4 %& 1 + &24 # %& + % 1%$1 # + %<$ @22A 6 7 7 . " H . & $# @22A = 6 6 6, M) G !& &241 2 2 + % 1? + 1 + $+ # 1 + #&2 +& + # 1? % 1%$1 # + + 4& # 2$%< # 4 %&' @L! L z L! L z G6 # A 4 1 M$ + 4 % # 4 &2&> 2 #& + FC * & # 1 + #&2 +& + # 1 + 1? +" 1 &* 1 # $&# + 8 B R 77" +4$0+ # 1 4 &2&> %&' + ( & 1 +& $& +M$ 28 &% 9 CAP ID=C1 C=1e4 pF RES ID=R1 CAPR=1 Ohm ID=C2 C=1e4 pF w1b=0.3072 w4b=1.84 PORTG P=1 GM=0.7358 GA=338.3 Deg MSUB Er=6.15 H=1.27 mm T=0.035 mm Rho=1 Tand=0.0027 ErNom=3.38 Name=RT6006 ! $ 2 + 4$ # 3 MLIN ID=TL2 W=w1b mm L=24.28 mm MSUB=RT6006 " # +2&+&' 1 &24 # %& λS7 λ S= " + # +4$0+ # 1 %<$ N . |S12| (dB) -0.12393 -0.12356 -0.12322 -0.1229 -0.1226 -0.12233 -0.12209 -0.12187 -0.12168 -0.12151 -0.12137 -0.12126 -0.12117 . 4 &2&> %&' + @22A & $# @22A "6 6 ; =7 + 1 4 % + # 4 &2&> %&' + % +& $ 2 ) 5 1 &* 1 # $&# M$ # 28+ 2 + & $ 1 B R |S11| (dB) -28.596 -28.988 -29.398 -29.827 -30.276 -30.747 -31.241 -31.761 -32.308 -32.883 -33.489 -34.125 -34.79 MLEF ID=TL3 W=w4b mm L=11.03 mm MSUB=RT6006 " 1 + $ * + #&2 +& $ PORT P=2 Z=50 Ohm 4 & ? f (GHz) 1.4 1.401 1.402 1.403 1.404 1.405 1.406 1.407 1.408 1.409 1.41 1.411 1.412 CAP ID=C3 C=100 pF 2 1 ,8 4 %& MLIN ID=TL4 W=0.3262 mm L=26.8 mm MSUB=RT6006 MCROSS ID=TL1 W1=w1b mm W2=0.006814 mm W3=w1b mm W4=w4b mm MSUB=RT6006 = 7 = 6 "# $ 4 % 1 " |S21| (dB) -0.12393 -0.12356 -0.12322 -0.1229 -0.1226 -0.12233 -0.12209 -0.12187 -0.12168 -0.12151 -0.12137 -0.12126 -0.12117 " H & # 4 %&' L! L z L! L z G7 # |S22| (dB) -28.721 -29.119 -29.535 -29.971 -30.428 -30.908 -31.414 -31.945 -32.506 -33.098 -33.722 -34.379 -35.069 Fn (dB) 0.1181 0.11824 0.11838 0.11852 0.11866 0.11881 0.11895 0.11909 0.11924 0.11938 0.11953 0.11967 0.11982 f (GHz) 1.413 1.414 1.415 1.416 1.417 1.418 1.419 1.42 1.4204 1.421 1.422 1.423 1.424 1.425 1.426 1.427 1.428 1.429 1.43 1.431 1.432 1.433 1.434 1.435 1.436 1.437 1.438 1.439 1.44 1.441 9414@ |S11| (dB) -35.482 -36.193 -36.911 -37.614 -38.268 -38.825 -39.23 -39.428 -39.441 -39.388 -39.116 -38.65 -38.046 -37.359 -36.634 -35.899 -35.176 -34.474 -33.8 -33.156 -32.543 -31.958 -31.403 -30.873 -30.369 -29.888 -29.428 -28.988 -28.567 -28.163 |S12| (dB) -0.12111 -0.12107 -0.12107 -0.12109 -0.12114 -0.12121 -0.12131 -0.12144 -0.12151 -0.1216 -0.12179 -0.12201 -0.12225 -0.12252 -0.12282 -0.12315 -0.12351 -0.1239 -0.12431 -0.12476 -0.12524 -0.12574 -0.12628 -0.12685 -0.12744 -0.12807 -0.12873 -0.12941 -0.13013 -0.13088 &'- 5 $ "!' %0"5 |S21| (dB) -0.12111 -0.12107 -0.12107 -0.12109 -0.12114 -0.12121 -0.12131 -0.12144 -0.12151 -0.1216 -0.12179 -0.12201 -0.12225 -0.12252 -0.12282 -0.12315 -0.12351 -0.1239 -0.12431 -0.12476 -0.12524 -0.12574 -0.12628 -0.12685 -0.12744 -0.12807 -0.12873 -0.12941 -0.13013 -0.13088 |S22| (dB) -35.789 -36.532 -37.285 -38.024 -38.709 -39.289 -39.696 -39.871 -39.868 -39.784 -39.448 -38.915 -38.248 -37.509 -36.743 -35.977 -35.23 -34.511 -33.824 -33.171 -32.55 -31.961 -31.401 -30.869 -30.363 -29.88 -29.42 -28.98 -28.558 -28.154 Fn (dB) 0.11996 0.12011 0.12026 0.1204 0.12055 0.1207 0.12085 0.121 0.12106 0.12115 0.1213 0.12145 0.1216 0.12175 0.1219 0.12205 0.12221 0.12236 0.12251 0.12267 0.12282 0.12298 0.12313 0.12329 0.12344 0.1236 0.12376 0.12392 0.12407 0.12423 ! * > #&+ : # +&2$1 # 5 4 &2&> # % # $ # 1 + 4 + # 1 241&F&% # F& 1 + 1 + $ &1 +4 +&2$1 % 2 F % + $ &' 1 + () &* + # 241&F&% %&' 5 # 2? &2 $&# ($+% # +" # 28+ + : # $ + 1? + 1 # 5 1 + 1&# # &24 # %& 2 1&> # # 9 <2 4 $ & 1 +% % +" 1 +& $& F& $ + 4$ # 4 %& 1 +M$ 2 # $ &' # # + + + 4 + 4 F 2 1 241&F&% # % 241 # ( ) $&# " ; CAP C=1e4 pF Vdd RES ID=R3 R=12 Ohm CAP C=1e4 pF RES CAP R=50 Ohm C=1e4 pF MLIN W=0.3262 mm L=26.8 mm MSUB=RT6006 MLIN MLIN PORT W=1.831 mm P=1 Z=50 Ohm L=5 mm MSUB=RT6006 CAP W1=w1 mm W2=0.336 mm W3=w1 mm W4=w2 mm MSUB=RT6006 MLIN W=0.336 mm L=26.79 mm MSUB=RT6006 MCROSS RES R=24 Ohm 3 2 1 w1=1.113 w2=2.242 4 RES ID=Rs2 R=47 Ohm ! +4$0+ # 1 +&2$1 %&' + = − 9 7 6 = − = = − = 9 w3=0.4417 w4=1.584 SUBCKT MCROSS NET="f351432b" W1=w3 mm W2=0.3262 mm W3=w3 mm W4=w4 mm MSUB=RT6006 3 MLEF ID=TL11 W=w2 mm L=13.43 mm MSUB=RT6006 $ (& 5B R MLIN W=1.831 mm L=4.79 mm MSUB=RT6006 3 1 W=w1 mm L=22.07 mm MSUB=RT6006 1 CAP ID=C3 C=100 pF 2 MLIN 2 C=100 pF MSUB Er=6.15 H=1.27 mm T=0.035 mm Rho=1 Tand=0.0027 ErNom=3.38 Name=RT6006 W=w3 mm L=25.5 mm MSUB=RT6006 MLIN MLIN W=1.209 mm L=10.33 mm MSUB=RT6006 W=1.209 mm L=10.33 mm MSUB=RT6006 CAP ID=Cs2 C=30 pF CAP ID=Cs1 C=30 pF /B " + MLEF ID=TL10 W=w4 mm L=13.62 mm MSUB=RT6006 RES ID=Rs1 R=47 Ohm " 1 + +& $& 4 " +$1 # + 1 F %$ %& # 7 7 -D> 9 ;9 2 + 4 %& 1 $ & 1 + #&+ & + 4 + 5 +&2$1 + 4& # ( + # 4 %&' 5 1 &* 1 # $&# 24 $ 4 % 4 1 M$ + 4 &2&> 8 # 4 % + $& $ 2 ) # 4 %&' " # 4 %&' # ] = # 4$ # 4 % ($ 4 < 5 M$ %$ M$ 1 < # 1 F ( &% %&' 1 + 4 82 + ( &# + 4$ # #&F & ( + # 1 + +&2$1 # + 4 1 M$ + ($+% 8 M$ 1 2 # + $ &# # + 1 28+ 241& 4 +&(1 " + 2 # # +4$0+ # 1 4 &2&> %&' 1 M$ + < ($+% # 2 #&F&% 1 2 : # 1 + 1? + # 1 %& %$& 4 2 ) 1 # 4 %&' 5 2 1 &* 1 # $&# 4 # ( ) # 1 + "9 # 1 + $ * + * 1 + + f (GHz) 1.4 1.401 1.402 1.403 1.404 1.405 1.406 1.407 1.408 1.409 1.41 1.411 1.412 1.413 1.414 1.415 1.416 1.417 |S11| (dB) -20.905 -21.325 -21.769 -22.237 -22.734 -23.262 -23.827 -24.432 -25.084 -25.791 -26.562 -27.411 -28.353 -29.414 -30.624 -32.035 -33.723 -35.824 |S12| (dB) -18.115 -18.104 -18.094 -18.084 -18.074 -18.064 -18.054 -18.045 -18.036 -18.026 -18.017 -18.009 -18 -17.992 -17.984 -17.976 -17.968 -17.96 |S21| (dB) 13.865 13.862 13.859 13.856 13.852 13.848 13.844 13.84 13.836 13.832 13.827 13.822 13.817 13.812 13.807 13.801 13.796 13.79 = |S22| (dB) -21.712 -22.137 -22.586 -23.06 -23.564 -24.1 -24.674 -25.29 -25.955 -26.677 -27.467 -28.338 -29.309 -30.406 -31.663 -33.138 -34.917 -37.159 Fn (dB) 0.4846 0.48375 0.48289 0.48204 0.48119 0.48034 0.4795 0.47866 0.47782 0.47698 0.47614 0.47531 0.47448 0.47365 0.47282 0.472 0.47118 0.47036 f (GHz) 1.418 1.419 1.42 1.4204 1.421 1.422 1.423 1.424 1.425 1.426 1.427 1.428 1.429 1.43 1.431 1.432 1.433 1.434 1.435 1.436 1.437 1.438 1.439 1.44 1.441 |S11| (dB) -38.608 -42.735 -50.86 -58.963 -55.542 -44.292 -39.521 -36.453 -34.188 -32.391 -30.901 -29.628 -28.517 -27.531 -26.645 -25.841 -25.104 -24.425 -23.794 -23.206 -22.655 -22.137 -21.648 -21.185 -20.745 + 1 4 &2&> %&' + < % $ ($ # 4 %&' # $&# % 4 (1 " = − 9= , 6 − ; ,6 6; = − 9 "= 9414? %0"'%'$ |S12| (dB) -17.953 -17.945 -17.938 -17.936 -17.932 -17.925 -17.918 -17.912 -17.906 -17.9 -17.895 -17.889 -17.884 -17.879 -17.874 -17.869 -17.865 -17.861 -17.857 -17.853 -17.849 -17.846 -17.843 -17.84 -17.837 |S21| (dB) 13.784 13.777 13.771 13.768 13.764 13.757 13.75 13.743 13.736 13.728 13.72 13.712 13.704 13.696 13.687 13.678 13.669 13.66 13.651 13.641 13.631 13.621 13.611 13.601 13.59 + $&# 2 ) 1 1 + 2& 1 + # |S22| (dB) -40.182 -44.794 -53.592 -56.182 -50.116 -43.058 -39.076 -36.332 -34.242 -32.553 -31.138 -29.918 -28.848 -27.893 -27.032 -26.248 -25.528 -24.862 -24.244 -23.666 -23.123 -22.613 -22.13 -21.672 -21.238 Fn (d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dd VIA ID=V2 D=0.7 mm H=1.27 mm T=0.035 mm RHO=1 VIA ID=V1 D=0.7 mm H=1.27 mm T=0.035 mm RHO=1 CAP 1 VIA ID=V4 D=0.7 mm H=1.27 mm T=0.035 mm RHO=1 MLIN ID=TL26 W=0.3 mm L=5.5 mm MSUB=RT6006 MTEE$ ID=TL21 MSUB=RT6006 C=1e4 pF CAP C=100 pF R=56 Ohm 3 MLEF ID=TL10 W=w4 mm L=11.75 mm MSUB=RT6006 MLIN MLIN W=1.209 mm L=10.33 mm MSUB=RT6006 W=1.209 mm L=10.33 mm MSUB=RT6006 MLIN ID=TL36 W=wr mm L=1 mm MSUB=RT6006 wc=1.25 wr=1.25 RES ID=Rs2 R=47 Ohm 1 2 MTEE$ MTEE$ ID=TL28 ID=TL32 MSUB=RT6006 MSUB=RT6006 2 3 1 MLIN ID=TL29 W=wc mm L=1 mm MSUB=RT6006 VIA ID=V5 D=0.7 mm H=1.27 mm T=0.035 mm CAP RHO=1 ID=Cs1 C=33 pF RES ID=Rs1 R=47 Ohm MLIN ID=TL33 W=wc mm L=1 mm MSUB=RT6006 1 $ VIA ID=V8 D=0.7 mm H=1.27 mm T=0.035 mm RHO=1 CAP ID=Cs2 C=33 pF VIA ID=V6 D=0.7 mm H=1.27 mm T=0.035 mm RHO=1 ! PORT P=2 Z=50 Ohm MCROSS$ ID=TL8 MSUB=RT6006 NET="f351432b" 3 W=1.831 mm L=10 mm MSUB=RT6006 3 4 3 MLIN ID=TL30 W=wr mm L=1 mm MSUB=RT6006 MBEND90X ID=MS1 W=0.3 mm M=0 MSUB=RT6006 MLIN CAP ID=C3 C= 100 pF w3=0.4053 w4=1.821 SUBCKT 1 w1=0.9625 w2=1.407 MLEF ID=TL11 W=w2 mm L=13.39 mm MSUB=RT6006 MLIN ID=TL14 W=wc mm L=1 mm MSUB=RT6006 2 1 2 4 MSUB Er=6.15 H=1.27 mm T=0.035 mm Rho=1 Tand=0.0027 ErNom=3.38 Name=RT6006 R=22 Ohm W=w3 mm L=25.01 mm MSUB=RT6006 MLIN MLIN ID=TL25 W=0.3 mm L=2.5 mm MSUB=RT6006 RES ID=R3 R=15 Ohm MLIN RES 3 MLIN W=0.3262 mm L=26.8 mm MSUB=RT6006 MLIN ID=TL19 W=wr mm L=1 mm MSUB=RT6006 W=w1 mm L=22.95 mm MSUB=RT6006 1 2 MLIN ID=TL22 W=wc mm L=1 mm MSUB=RT6006 MLIN ID=TL17 W=wr mm L=1 mm MSUB=RT6006 2 MTEE$ MLIN ID= TL15 ID=TL18 W=wr mm 1 L=1 mm 3 MLIN MLIN ID=TL13 W=wr mm L=1 mm MSUB=RT6006 MCROSS$ ID=TL2 MSUB=RT6006 1 MLIN ID=TL27 W=0.3 mm L=15 mm MSUB=RT6006 MLIN ID=TL24 W=wr mm L=1 mm MSUB=RT6006 2 MLIN ID=TL23 W=wr mm L=1 mm MSUB=RT6006 MTEE$ ID=TL20 MSUB=RT6006 RES W=0.336 mm L=26.79 mm MSUB=RT6006 MLIN PORT W=1.831 mm P=1 Z=50 Ohm L=10 mm MSUB=RT6006 CAP C=1e4 pF 2 3 MLIN ID=TL16 W=wc mm L=1 mm MSUB=RT6006 C=1e4 pF VIA ID=V3 D= 0.7 mm H= 1.27 mm T=0.035 mm RHO=1 4B " %&' # 1 1 5 $ $+ # % 2(& Z1 *&+ # 1 5 $ [ 4& %< % 24 + + E +$ 4 +&%&' 1 # #&82 + ( 1 + # &11 < 1 + 4 22 4 H"A M$ + *& 8 # 41 5 + # VIA ID=V7 D=0.7 mm H=1.27 mm T=0.035 mm RHO=1 " 5 + 1 E # + ( 1 +M$ 28 &% + # 1( ' " * >4$1+ # + # ( 8 # 1 + 41 % 5 + % 8 %$ # # + # % ( 4 M$ : + # 22 1 + % H& + 2 + 5 + % 8 $1 + 28+ # +@ + 1# #$ 4 1 + % (1 + # 1&2 %&' " 1 # 4 < % 1 ( # # 41 % % 1 2&+2 < 2& # #&($) < 2 + $ % 8 $1 %$( & # # 1 %& %$& 4$1+ 2 + ( ' # %< 4 4& # # + 5 + + 1# 8 $ %$ # # #&81 # # +4 %&F&% 2 + M$ 1 % 4 # #&($) + 8 1 41 % " $ 7- ' ! " " F 57.4 mm ! 79.1 mm ! $ <) " " & " 57.4 mm 79.1 mm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|S[1,1]|) * Final Amplif -40 DB(|S[2,2]|) * Final Amplif -50 1.42 GHz -56.18 dB 1.42 GHz -58.96 dB -60 1.4 ! $ $< J ' 1.41 1.42 Frequency (GHz) " ,, @EH 1.43 " *B " & 1.44 1.441 &+ , %0"5 20 ! $ " !0 $ 0 DB(|S[1,1]|) * Final Amplif -20 DB(|S[2,2]|) * Final Amplif -40 1.42 GHz -58.96 dB -60 0.3 ! $ 1.42 GHz -56.18 dB 1.3 Frequency (GHz) $> J ' " @EH %0"5 13.9 2.3 3 " *B " &+ ?$ & ! $ " 81 DB(|S[2,1]|) * Final Amplif 13.8 13.7 1.4204 GHz 13.7683 dB 13.6 13.5 1.4 ! $ ,?J ' 1.41 1.42 Frequency (GHz) " " *@ @EH & ; 1.43 1.44 1.441 + , ,, $ %0"5 20 ! $ " 81 0 -20 1.42 GHz 13.8 dB DB(|S[2,1]|) * Final Amplif -40 -60 -80 0.3 ! $ 1.3 Frequency (GHz) , J ' " " *@ 2.3 3 + ?$ $ @EH & %0"5 -17.8 ! $ " 18 1.42 GHz -17.94 dB -17.9 DB(|S[1,2]|) * Final Amplif -18 -18.1 -18.2 1.4 ! $ , J ' 1.41 1.42 Frequency (GHz) " 1.43 " & = 1.44 1.441 , ,, @EH %0"5 0 ! $ " 18 1.42 GHz -17.94 dB -20 -40 DB(|S[1,2]|) * Final Amplif -60 -80 -100 0.3 ! $ 1.3 Frequency (GHz) ,$ J ' " " %0"5 0.49 2.3 ! $ " 3 ?$ $ @EH & ! 0.48 1.4204 GHz 0.4676 dB 0.47 0.46 DB(NF) * Final Amplif 0.45 ! $ 1.4 1.41 ,, " 1.42 Frequency (GHz) " 1.43 " & , 1.44 1.441 , ,, @EH %0"5 60 ! $ " ! 40 DB(NF) * Final Amplif 20 1.42 GHz 0.4676 dB 0 0.3 ! $ 1.3 Frequency (GHz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o - #&# + # o - #&# + # 1 + 4 82 o - #&# + # 1 F& $ 9414<48 +& '! ! & !' + 4$ ( # %$ # % 1 +5% # () &* + # 1 #&+ : + 2 #&# + & 5 + + # 4 1 &> %&' # 1 (& +&+ 1 + * 1 + # " + ! # 1 %& %$& " $&# # 1 %& %$& " " * #$ 2 $& % !'" 2& +& 1 +&+ +8 % # # 4 1 &> %&' # 1 +&+ $& & % 2 4 1 &> # 5 F$ %& #&+ : # + 4 #? % + $& # " !& + 1 4$ # 4 1 &> %&' !R 0 &2 # + # " ! R # #&+ : # 2 % 1 M$ + % 1 +& $& + $? M$ 1 +&+ ( ) 1 Vdd RES ID=Rd RES ID=Rg 2 1 ATF 35143 3 RES ID=Rs ! 1 * 1 ) 41&% # # + # #+R 2 + $ %&' #++" +& $& H4 +&' ( =( @ −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o 82 +!4 1 ( # # F %$ %& + # 7 o 82 +!4 1 ( # # F %$ %& + # "6 6 JD>" o 82 +!4 #&F 1 ( # # F %$ %& + # 1 F %$ %& % &># #&+4 +&' ( + 4 1 &> %& + 77 -D>" 1 # 7 7 -D> 5 4 1 &> # 1 %& %$& &# % 1 1&> # # # + M$ # ? = − "= ; 4 = − "7 4 = =" ;6 4 = −,"97 4 % $ "6 6 JD>" ##R " 1 9414<4941 !0 #$ " '$ ! Q 11Q Parametro S11 Amplificador 1 Etapa 5 0 dB -5 -10 -15 -20 -25 ! $ 0 500 ,< 1000 " ' 1500 frecuency (KHz) " 2000 2500 " 3000 " ?$ $ @EH Parametro S11 Amplificador 1 Etapa -17 -18 -19 dB -20 -21 -22 -23 -24 1400 ! $ ,> 1405 1410 " ' 1415 1420 1425 frecuency (KHz) " " ,, @EH 6 1430 1435 1440 " 1445 , S11 para distintas polarizaciones 5 0 0V 0.5V 1V 1.5V 2V 2.5V 2.61V 3V dB -5 -10 -15 -20 -25 ! 9414<4948 $ " 0 500 /? H 1000 1500 frecuency (KHz) " ' " *1 :?(?/( ( /( ( /( 4 !0 #$ " & "! Q 2000 2500 " $ 1+ 3000 " " ?$ $ @EH 88Q Parametro S22 Amplificador 1 Etapa 2 0 dB -2 -4 -6 -8 -10 ! $ / 0 500 " ' 1000 1500 frecuency (KHz) " " @EH 7 2000 2500 3000 " ?$ $ Parametro S22 Amplificador 1 Etapa -8.8 -8.85 -8.9 -8.95 dB -9 -9.05 -9.1 -9.15 -9.2 -9.25 1400 ! $ 1405 / 1410 1415 " ' 1420 1425 frecuency (KHz) 1430 1435 " " ,, @EH 1440 1445 " , S22 para distintas polarizaciones 2 0V 0.5V 1V 1.5V 2V 2.5V 2.61V 3V 0 -2 dB -4 -6 -8 -10 -12 ! $ " 0 /$ H 500 1000 1500 frecuency (KHz) " ' " *1 :?(?/( ( /( ( /( 4 9 2000 " $ 1+ 2500 3000 " " ?$ $ @EH 9414<4949 J%' Q 18Q Parametro S12 Amplificador 1 Etapa -10 -20 -30 -40 dB -50 -60 -70 -80 -90 -100 -110 ! $ 0 500 /, 1000 " ' 1500 frecuency (KHz) " 2000 2500 " 3000 " ?$ $ @EH Parametro S12 Amplificador 1 Etapa -10.9 -11 -11.1 dB -11.2 -11.3 -11.4 -11.5 -11.6 1400 ! $ // 1405 1410 " ' 1415 1420 1425 frecuency (KHz) " " ,, @EH 1430 1435 1440 " 1445 , S12 para distintas polarizaciones 0 -20 dB -40 -60 0V 0.5V 1V 1.5V 2V 2.5V 2.61V 3V -80 -100 -120 ! $ " 9414<494: 0 500 /4 H 1000 1500 frecuency (KHz) " ' " *1 :?(?/( ( /( ( /( 4 J%' Q 81 Q A $ $ 2000 2500 " $ 1+ !'" %0"5 3000 " " ?$ $ @EH ! DQ Parametro S21 Amplificador 1 Etapa 20 10 0 -10 dB -20 -30 -40 -50 -60 -70 -80 ! $ /7 0 500 " ' 1000 1500 frecuency (KHz) " " @EH ; 2000 2500 3000 " ?$ $ Parametro S21 Amplificador 1 Etapa 8.6 8.5 8.4 8.3 dB 8.2 8.1 8 7.9 7.8 7.7 1400 ! $ 1405 1410 /< 1415 " ' 1420 1425 frecuency (KHz) 1430 1435 1440 " " ,, @EH 1445 " , S21 para distintas polarizaciones 20 0V 0.5V 1V 1.5V 2V 2.5V 2.61V 3V 0 dB -20 -40 -60 -80 -100 ! 9414<4: $ " 0 /> H %0 500 1500 frecuency (KHz) " ' " *1 :?(?/( ( /( ( /( 4 2000 " $ 1+ 2500 3000 " " ?$ $ @EH , 1 (1 6" G 7 + 4$ # 4 82 + ! # 1 %& %$& ( 2 #&%& +" J%' L! L L! L 1000 4 %& &# + %1 2 1 + #&F %& + H&+ + 1 + + 1 + +&2$1 %& + 5 1 + ( &# + + 1 + % " #$ A! D G9=", G9 " = = ' "A! D G "= ; G "7 J%' L! L L! L $ ,- % " #$ A! D 6"= G ;",7 " " ' J 8F&% 2 54 +& $& + F& $ + $ +4 % ' "A! D =" ;6 G,"97 & , ?, EH 28+ 241& 1 & " M$ # ? F1 ) # 1 + Comparativa parametro S11 de 0.3 a 3 Ghz 10 Simulacion Real 0 -10 dB -20 -30 -40 -50 -60 0 500 ! $ 4?- 1000 " 1500 frecuency (KHz) " ' 2000 2500 * , 3000 A+ Comparativa parametro S22 de 0.3 a 3 Ghz 10 Simulacion Real 0 -10 dB -20 -30 -40 -50 -60 0 500 ! $ 4 - 1000 " 1500 frecuency (KHz) 2000 " ' 2500 * 3000 A+ Comparativa parametro S21 de 0.3 a 3 Ghz 20 Simulacion Real 10 0 -10 dB -20 -30 -40 -50 -60 -70 -80 0 500 ! $ 4 - 1000 " 1500 frecuency (KHz) " ' 2000 2500 * 6 3000 A+ Comparativa parametro S12 de 0.3 a 3 Ghz -10 Simulacion Real -20 -30 -40 -50 dB -60 -70 -80 -90 -100 -110 0 500 ! $ 1000 4$ - " 1500 frecuency (KHz) 2000 2500 " ' * 3000 A+ Comparativa parametro S11 de 1.4 a 1.441 Ghz -15 Simulacion Real -20 -25 -30 dB -35 -40 -45 -50 -55 -60 1400 1405 ! $ 1410 4, - 1415 " 1420 1425 frecuency (KHz) " ' 1430 1435 * 6 1440 1445 A+ Comparativa parametro S22 de 1.4 a 1.441 Ghz 0 Simulacion Real -10 dB -20 -30 -40 -50 -60 1400 ! 1405 $ 1410 4/ - 1415 " 1420 1425 frecuency (KHz) 1430 " ' 1435 1440 * 1445 A+ Comparativa parametro S21 de 1.4 a 1.441 Ghz 14 Simulacion Real 13 12 dB 11 10 9 8 7 1400 1405 ! $ 1410 44 - 1415 " 1420 1425 frecuency (KHz) " ' 1430 1435 * 6 1440 1445 A+ Comparativa parametro S12 de 1.4 a 1.441 Ghz -10 Simulacion Real -11 -12 -13 dB -14 -15 -16 -17 -18 -19 1400 1405 ! 94141= $ 1410 47 - '! ! !'"5 1415 " 1420 1425 frecuency (KHz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h[ [h[ g # 1 M$ * 2 + 12 % 1 + # + @ G7A[" % Z E2 Z &# 6" F$ 1 % @ Z 7" $ [h[ (1 $ # # [h[ g 2 2 & @ G7A[" + %& $ &# &F&% # # + & # 1 F$ # [h[ [h[ g # (1 &F&% %&' M$ # + 2 + & 2 2 & $ (1 $ # # @4 $&# # 1 M$ + ( & [h[9"9[h[! B #$%& [h[ [" % 1&( % % 2 + 1 + 1&# 4 1 F$ # $&# % $ % (1 # # 1 Z- #&# # $&# [ 2 #& $ % 1&( %&' % # + 1 + 1 2 + H& # 4 M$ 1 + 2 #&# + 4 + *&% # + A" * >M$ + 8 # [ @ + 8 % #&# 1 1 # Z 4$1+ 2 + + ( ) 241 1 F& 1 # 1 1 + # +A 4$1+ 2 + [h[ E2 # # $&# # 1 Z- #&# # $&# [ 1 1 + 1&# # 1 F$ # $&# 1 % (1 !!- " + &24 < % #&%& 1 + M$ + 241 4 1 & + + 1 + %$ 1 F % # 1 % % # + 4$1+ # + * % + 1( ' [A" " 11 * % ( 1 + 2 #&# + + # ) # % 2 + ( 4 + % % < 1 1 + 1&# # 1 F$ # $&# 5 1 + 1&# # 1 1 Z- #&# # $&# [" $1+ 2 + + ( 1 ( ' Z ! BJ J [ @1 # Z [A" +4$0+ # 1&> 1 + 2 #&# + + ( $* $ F& $ # $&# # 8[ : ! * 1 2$5 +$4 & 1 + =4:@ ! 4 #&%< + 4 1 +&2$1 %&' 4 1 F %$ %& # 7 "7 -D>" 1 +& $& 8F&% + 2$ + 1 * & %&' # 1 $&# F %$ %& 67 ! 941411 * >% # 2&% +$2 +$1 # + $ 4< ! $ " & $'& %0"5 " " ! !' $ ' 0 %1$&# # 1 4 % + # #&+ : +&2$1 %&' F ( &% %&' 5 2 #&# # 1 241&F&% # # + # ( ) $&# 1 F %$ %& # 7 "7 -D> 4 # 2 + < % $ 4 M$ : 2 # # % # & # # +1 +4 + + 1&> # + 5 + % 1 + % %1$+& + # 1 + ( &# +" 1 < # #&+ : $ + 241&F&% # 1 4 &2 M$ + <&> F$ 1 1 %%&' # 1 +&+ @ B69 76A 5 $ +&2$1 %&' # 1 2&+2 1 F %$ %& 1 M$ ?( 2 + ( ) " 1 +&+ * ? 2 # 1 # 4 +$+ 4 82 + ! 4 4 %& # + *0+ # $ F&%< 4 1 F ( &% " ! 1& &' % + % 2 # # 4 1 &> %&' $ # $ 4 1 &> # 4 +$ F %&1&# # # #&+ : % 2 4 1 % +&# # # $ E &% +&' % & $ 4 1&2 1 +&+ " # # 4 1 &> %&' 2 ) 1 + (&1&# # # 1 +&+ # 2 # M$ < & % #&%& 12 + (1 1 M$ 4 2& ? + 1 %%& %$ 1M$& * 1 4 1 + % F&%& +# F1 H&' # F$ 5 # % " ! 4 &2&>' 1 #&+ : 4 % $ + % F&%& + # F1 H&' M$ 2 $*& $ % 24 2&+ 2? &2 $&# 5 ($ # 4 %&' 1 + 2& 1 + # # 5 + 1&# # 1 +&+ " * > 1 &# + + + % F&%& + + #&+ : # + 4 + 4 # 4 1 # 5 1 + 1&# 1 + 2& 1 + % % + # 9 <2 # &24 # %& 241 # 4 11 $ + %&11 # F 2 # 4 $ 1? & * + # TS7 + & $ &# $ + $( %& %$& (& # TS= % % # 4 1 1 " 1 #&+ : # # +5% # $ # 1 + 4 + F$ +&2$1 # 5 4 &2&> # " $ + $ & # + 1 + 4 + +& 5 + 4 &2&>' 1 % )$ ($+% # ( # $ F % # $&# % 4 (1 & F & 1 + "9 # 5 $ ($ # 4 %&' 1 + 2& 1 + # # 5 # + 1&# # 1 2 + 6 # M$ +&2$1 # + (+ * M$ + 1% > ( " B& 12 + ( $* 1 1 5 $ # 1 %& %$& + H4 ' 4 & #$%& 1 1 + FC # F ( &% %&' + F ( &%' 1 41 % $+ # 1 2 & 1 $ &# 5 + % 1 % 1 + % 24 + 5 1 + % % +" ! 11 * % ( 1 + #&+ & + 69 2 #&# + 2 #&# # 2 : + 2 #&# + # +& + % & + 5 % +$2 2 #&# + # 4 82 + ! 4 * & + 4 1 &> %& + 5 F %$ %& + 5 4 E1 &2 1 + 2 #&# + # $&# " !& % 24 2 + 1 + * 1 F %$ %& % 1# 7 = % + ( &# + 7 -D> − 9= , 6 − ; ,6 6; = 1 +* 1 − 9 "= + 2 #&# + $ 1 +&2$1 %&' 4 1 241&F&% # # $ 4 1 4 5B R 7 ; # * >F ( &% # = − "= ; 4 = − "7 4 = =" ;6 4 = −,"97 4 1 %& %$& 5B R + 4$ # (+ * F8%&12 M$ 1 4 82 2 5 2 #&# # 1 + * 1 + 4 #&%< + 1 %& 2(&0 < 5 24 # " # + ($ + # # + 1 + #&F&%$1 # + # F ( &% %&' # 1 2&+2 F %$ %& 7# ! # 4 %&' 1 + 1&# + 1 M$ #&F& +&2$1 %&' 5 4 +&(1 2 % $+ # + 2 + 1 1 + +$1 # + + ( + 1 + #&+4 +& &* + F %$ %& # 2&% # +" 1 1 + % 24 &* + 1 + +&2$1 %& + 5 1 + 2 #&%& + 1 + 4 1 ( # # F %$ %& + # "6 6 -D> + 4 %& M$ 1 + +$1 # + + +&2&1 + $ M$ $ 4 % # +41 > # + + # +41 > 2& F %$ %& H% 4 $ # 1 4 82 ! " ! 4$ # 4 %& 2 ) F %$ %& 1 % 24 &* 4 1 ( # + %< # # 1 + #&F %& + + < % 28+ (1 +" + 1 + 2 #&# + # $&# % 1 - #&# # B& $ # $&# D =,; + ( $* $ F& $ # $&# # 7 # 1 F %$ %& # 7 "7 -DO * 1 ( + +$4 & 1 +4 # 5 M$ 1 +&2$1 %&' ( ? 2 + 7 ; # # F& $ # $&# " 1 + % %1$+& + # 1 4 5 % + 4 4 # 8 1 $ + 0% &% + 4 2& &2&> + F& $ # $&# # 2 # M$ + # 4 28+ 1 + +4 %&F&% %& + # 1 #&+ : " 6 948 &'- !' $ %0"5 ! !'! & ' 0 & 1 4 # & + < 11 * # % ( 1 #&+ : # $ 241&F&% # # ( ) $&# # $ E &% 4 " + #&+ : + ( ? $ 241&F&% # # 2$5 ( ) &* 1 # $&# 4 % + # + % &F&% 1 %& # 1 2&+2 " ! 4 # 4 #&+ : $ 241&F&% # F 2 # 4 # + 4 + 241&F&% # + # 2 # M$ + 2 ) 1 %& # 1 241&F&% # F& 1 4 2 & # $ &* 1 # $&# % 4 (1 " ! E 1 F' 2$1 # B &&++ 4$ # ( < %& # = 1F % # − + + +& &F&% M$ +& 2 +$ $&# 1 4 &2 # + + 4 >' 1 4 &2 4 + #&+ 2& + M$ 1 + $ # + ($+% $&# + 6 1 # $ % )$ − − aaa + """ + # 4 + $ &# + + & + @6" G A −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o # +&+ 28+ # # 4 1 &> %&' 4 ( 28H&2 o # +&+ 28+ # # 4 1 &> %&' 4 ( 2? &2 o ## # 4 %&' & o ## # 4 %&' # o ## # 4 %&' # + 1&# # 1 241&F&% # " 2 #& 2( + ρ +" ρ 1 ! ρ ρ $8 1 0 !0 #$ $ ' %'! ) $% ! ρ $&# " # # 1 241&F&% # " ρ $1 '! ! 0 #$ !' $ ! +&+ %& $ B " ρ 8 " 6; '! !0 #$ !' "! JM% $ $ ρ 1 8 8 94841 + % + F$ %& # 1 +&+ #&+ : % M$ #&+4 + '!!'0 " * #$ & 1 & #$%%&' # $ # # 4 1 &> %&' M$ 1&2 1 + 1 &' % &* # %$ # " # 28+ < ( 8 M$ %$ + % % ?+ &% + # 1 %& %$& " ! # %&# 241 % 2 # # - !B # + &$ # J 1& $ # $ 4 1 &> # 2 4 1 % +&# # # $ E &% +&' % & $ 4 1&2 # $ +&' % & $ 4 1 4$ @JA 5 4 1# # + # 4 1 &> %&' " +? 1 +M$ 2 # 1 # # 4 1 &> %&' $+ +&+ +51 +< 1 + F % +# + 4 1 &> %&' 4 1 4 +$ F %&1&# # # 1 *& # # @ A % 2 %$ # + 8 1 +& $& Vdd RES ID=Rd RES ID=Rg 2 1 ATF 35143 3 RES ID=Rs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− 1 BG69 76 # # 1 % & +&' # 4& % FF 4RG "9 1 * 1 ) + = 2 −( 1 +&+ %& = , Ω" $ + = M$ &# + # 2 M$ &# + 8 # G " , # + # +$ &# M$ < 5 + +&+ 2 1&> # 28+ % % 4 1 M$ + 1 % # & $+ # $ +&+ %& # + +$ * 1 2 1&> # " B& 12 + #8 %$241& 1 F' 2$1 ( = ( + = ( + ) " ( # 8 1 # ##R " +&+ %& # # *&+&(1 4 1 + : 1 # B 5 M$ 2 ) 81 $ 1? # 1 &24 # %& M$ 1 M$ + 1 2 % E1 &2 +& + & 1 +& $& F& $ %$ @6" G A 1 +$+ % + & %& + % 1 2 1&> # + # $ # # , #++R 2 5$ 4 1 &> %&' x+ %$ & 8 241 # 1 # # 4 1 &> %&' M$ # 8 % 2 1 # 2 PORT P=2 SUBCKT Z=50 Ohm ID=ATF 1 NET="f351432b" 1 3 MLIN ID=TL1 W=w mm L=L mm MSUB=RT6006 w=1.306 CAP ID=Cs2 C=30 pF CAP ID=Cs1 C=30 pF RES ID=Rs2 R=47 Ohm ! 6 $ M$ 2 1&> # F& 1 + 4 7 $ M$ 2 1&> # F& 1 + 4 MLIN ID=TL2 W=w mm L=L mm MSUB=RT6006 L=4.666 1 #&+ : + 11 ( + + $ * 1 #&+ : + 11 ( + + $ * 4 >% & +* 1 4 >% & +* 1 $ $B $/ ,$ 7 <2 # +&+ + $+ F& 12 +" <2 # +&+ + $+ F& 12 +" 1 1 # 1 4$ + 8 & 8 ! R 7 x" $ &# # # * 1 1 * # " 1 &2 + R9 x M$ M$ 1 & 1 + * 1 + # # 5 # ##" ! # ( 8 1* 1 # 4 & # 01 + # + 8 # 6; x 5 # 1 + 4 2 + $ +&+ %& # 76 x 7 + (&1&# # 5 $ +&+ %& # x +& $ # + + 8 *&+&(1 4 1 + : 1 # % & $ " RES ID=Rk1 R=24 Ohm PORT P=1 Z=50 Ohm + 8 ' RES ID=Rs1 R=47 Ohm " %& # (&# M$ +&+ %& + # MSUB Er=6.15 H=1.27 mm T=0.035 mm Rho=1 Tand=0.0027 ErNom=3.38 Name=RT6006 H & + #&+4 ? # + + * 1 + <2 4 &2&> # 1 + #&+ : + %& # (&# M$ + #&+4 ? # + + * 1 + +&+ %& + # 9 <2 4 &2&> # 1 + #&+ : + 6, 1 F$ +&+ B 69 76 & 74 +# % % 1 4$ 5 1 +$ &# 5 # + 4 + 4 1 # M$ 1 F$ & # +4 + + % % 8$ +&+ %& # 7; x % # $ M$ 4 1 1 F 2 8 1 + 7x# +&+ %& % + & +" +? 2&+2 % 2 + 4$ # 4 %& 1 F& $ + % % $ 1? # +2&+&' % # $ # 1 + 4 + # F$ 5$ % # + # 4 1 1 % % # $ # 1 + +&+ %& + # 7; x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ρ +$ # # 4 1 &> %&' " +&+ G # # 4 1 &> %&' 1 + % 2 1 + F % # + (&1&# # W %"N # + + + 4 82 + + ($+% 8 1 + % F&%& + % + & +4 ( 1 28H&2 %& #&+4 &(1 @- JA" + + % F&%& + + 4$ # < 11 # F 2 (&1 1 $ &1 1 +$2& # $ " 7" % E1 &2 + +&2$1 8 % %1$+& +" 9484841 $ '/ '2 + < *&+ # +$1 + 8 #$ !'" 1 4$ 6" " + + % F&%& L9>1:9 + 5+ $ " '!!'0 " * # +4$0+ # & 7 1 ( #8 1 + 1 +&+ #$ # # 4 1 &> %&' % 1 RES ID=Rk1 R=24 Ohm PORT P=1 Z=50 Ohm 2 PORT P=2 SUBCKT Z=50 Ohm ID=ATF 1 NET="f351432b" 1 3 MLIN ID=TL1 W=w mm L=L mm MSUB=RT6006 w=1.306 CAP ID=Cs2 C=30 pF CAP ID=Cs1 C=30 pF RES ID=Rs2 R=47 Ohm ! $ ,B 1 () &* # 1&> $ )$+ 4 2 #&# # 1 4 +&(1 1 # 4 %&' # 1 1&> 8 $ 4 &2&> %&' # 1 + 2 : Z & ($+ 4 &2&> & [ ($+% # > ; 4" MLIN ID=TL2 W=w mm L=L mm MSUB=RT6006 L=4.666 +4$0+ # + $ * + 4 82 + # 1 % )$ 1 < # 1 & 1 + % F&%& &+4 &(1 @- JA = $/ ,$ ' " H & *& # 1 2 : F?+&% # 1 + 1? + 4 2 ) 1 + 4$ +# # 5 + 1&# +? % 2 1 %& + + # 1 + 1? + $+ # 5 1 20 # % 2 F& 1&# # M$ < −6 4 < −6 4 5 4 &2&> %&' 4 1&2& +&+ 28+ +# F1 H&' " RES ID=Rs1 R=47 Ohm MSUB Er=6.15 H=1.27 mm T=0.035 mm Rho=1 Tand=0.0027 ErNom=3.38 Name=RT6006 + +&2$1 1 # 5 + (& 1 + # # 4 1 &> %&' 4 82 + M$ + + *& 8 # %$ # + 4 % + $& 1 -8H&2 J %& 6∠ − 77" 9 6",799∠ 9" = " 9; ;,∠= " 9; " 9 ∠− "6 9 BR " 9# SO R " 7; WR " 9 4 1 +& $& 1 f (GHz) 1.4 1.401 1.402 1.403 1.404 1.405 1.406 (1 + 2$ + 1 +$1 # # 1 +&2$1 %&' # # F %$ %& + # +# 7 77 -D> |S11| (dB) -3.5224 -3.5259 -3.5293 -3.5328 -3.5362 -3.5396 -3.5431 |S12| (dB) -24.985 -24.978 -24.972 -24.966 -24.959 -24.953 -24.946 |S21| (dB) 11.992 11.989 11.985 11.982 11.978 11.975 11.972 7 1 $ |S22| (dB) -4.271 -4.271 -4.2711 -4.2711 -4.2712 -4.2712 -4.2713 + 4 82 Fn (dB) 0.63227 0.63225 0.63222 0.63219 0.63217 0.63214 0.63212 + # 1 #&+ : K 1.0136 1.0139 1.0142 1.0145 1.0147 1.015 1.0153 f (GHz) 1.407 1.408 1.409 1.41 1.411 1.412 1.413 1.414 1.415 1.416 1.417 1.418 1.419 1.42 1.4204 1.421 1.422 1.423 1.424 1.425 1.426 1.427 1.428 1.429 1.43 1.431 1.432 1.433 1.434 1.435 1.436 1.437 1.438 1.439 1.44 1.441 |S11| (dB) -3.5465 -3.5499 -3.5533 -3.5567 -3.5602 -3.5636 -3.567 -3.5704 -3.5738 -3.5771 -3.5805 -3.5839 -3.5873 -3.5907 -3.592 -3.594 -3.5974 -3.6008 -3.6041 -3.6075 -3.6108 -3.6141 -3.6175 -3.6208 -3.6241 -3.6275 -3.6308 -3.6341 -3.6374 -3.6407 -3.644 -3.6473 -3.6506 -3.6539 -3.6572 -3.6605 |S12| (dB) -24.94 -24.934 -24.927 -24.921 -24.915 -24.908 -24.902 -24.896 -24.889 -24.883 -24.877 -24.87 -24.864 -24.858 -24.855 -24.851 -24.845 -24.839 -24.832 -24.826 -24.82 -24.814 -24.807 -24.801 -24.795 -24.788 -24.782 -24.776 -24.769 -24.763 -24.757 -24.75 -24.744 -24.738 -24.732 -24.725 |S21| (dB) 11.968 11.965 11.961 11.958 11.954 11.951 11.947 11.944 11.941 11.937 11.934 11.93 11.927 11.923 11.922 11.92 11.917 11.913 11.91 11.906 11.903 11.9 11.896 11.893 11.889 11.886 11.883 11.879 11.876 11.872 11.869 11.866 11.862 11.859 11.856 11.852 $ 1 +& $& (1 + 2$ + # +4$0+ # 4 &2&> 1 2 $ & B $/ ,$ +$2 # 1 +* 1 ! 1 x 7; x ! 7; x $ $- " |S22| (dB) -4.2713 -4.2714 -4.2714 -4.2714 -4.2715 -4.2715 -4.2716 -4.2716 -4.2716 -4.2717 -4.2717 -4.2717 -4.2717 -4.2718 -4.2718 -4.2718 -4.2718 -4.2718 -4.2718 -4.2719 -4.2719 -4.2719 -4.2719 -4.2719 -4.2719 -4.2719 -4.2719 -4.2719 -4.2719 -4.2719 -4.2719 -4.2719 -4.2719 -4.2719 -4.2719 -4.2719 ' " +# ! ! " " 5 ' H 7 K 1.0156 1.0158 1.0161 1.0164 1.0166 1.0169 1.0172 1.0174 1.0177 1.018 1.0182 1.0185 1.0187 1.019 1.0191 1.0192 1.0195 1.0197 1.02 1.0202 1.0204 1.0207 1.0209 1.0212 1.0214 1.0216 1.0219 1.0221 1.0223 1.0226 1.0228 1.023 1.0232 1.0235 1.0237 1.0239 H & # + 1 + % 24 1 2 - Fn (dB) 0.63209 0.63206 0.63204 0.63201 0.63199 0.63196 0.63193 0.63191 0.63188 0.63186 0.63183 0.63181 0.63178 0.63175 0.63174 0.63173 0.6317 0.63168 0.63165 0.63163 0.6316 0.63158 0.63155 0.63152 0.6315 0.63147 0.63145 0.63142 0.6314 0.63137 0.63135 0.63132 0.6313 0.63127 0.63125 0.63122 +# 1 1 6 4B 6 4B bR 22 R9 6;22 & "# # 2 + 4$ # 4 %& 1 % F&%& # + (&1&# # WR " 9 1 M$ + & #&% M$ 1 % )$ # 1 +&+ 28+ 1 # # 4 1 &> %&' + 8 $ $! $ " %'$ ''& +"'4 %$ 1 +M$& M$ + 1 + % F&%& + # F1 H&' ρ ρ M$ + 1&) " 4 * 2 + M$ < $2 # % +&# (1 2 1 F % # $&# # "67 # " 9 # 1 M$ 1 + +8 1 + $ # 4 # 1 241&F&% # 1 + 8 # 2& 4 1 F % # $&# 1+ E 1 F' 2$1 # B &&++" 9484848 "' #$ !'"& '5 '$ '& !' '5"'M#$ # M$ + ( 2 + M$ 2 +$ +&+ & % #&%& 12 + (1 & # 4 #& 2 # 1 + % F&%& +# F1 H&' M$ 1&) 2 + * 2 + ($+% M$ 11 + M$ + 4 4 %& 1 -8H&2 J %& &+4 &(1 @- JA" 2 *&2 + ? 1 - J + 4$ # % 1%$1 % 1 +& $& %$ %&' 9 = @A ± A − " + 1* + %$ %&' + +$+ & $5 4 1 + 4 82 + ! 5 1 * 1 # W ( &# + + 1 4 &2&> %&' 4 1 F %$ %& # & 0+ 5 + # ) 1 +& 2 + 1 H4 +&' 5 M$ 1 %$ # &4 1 + & % #&%& 12 + (1 5 %$241 W^ 5 LvLw @* ? A" # 2 + % %1$& M$ 1 - JR 99 =;= R ; 79; # " ( 1 + % F&%& + # F1 H&' % 1 + M$ + % +& $ 20 # + 1 (&1 1 5 1 $ &1 1" 1 20 # $ &1 1 + 28+ + %&11 + # ( +$2& $ %& " 1%$1 2 + + + % F&%& + 2 #& + 28+ 4 %&+ " 11 + 1 & 8 1 + % F&%& + # F1 H&' < %& 2 #& 1 + %$ %& + +& $& + ρ = 5i ρ = 5i 4 ± 4 − 75 @6" G6A 5 4 ± 4 − 75 @6" G7A 5 +& # 4 = + − 4 = + − −∆ −∆ 5 = − ∆a 5 = − ∆a ∆=# [ ]= @6" G A i @6" G;A i @6" G=A − 76 @6" G9A @6" G,A + 4 M$ 1 20 5% J H&+ # + +&241&F&% 4 # (&1 1 M$ 5 < %& F$ !& +$+ & $&2 + 4 +$1 # + 1 + 4 82 + ! & 2 % 1%$1 # + ( 2 + 1 + +& $& R ";, 9 R " 6= R " ;79G) "69 6 R " G) " , , vR "77 G) " ; LvLR "9 7 F& 12 4 # 2 + < 11 ρ = "==67∠ 6"9;= ρ = "= =∠6 "= 7, # 2 + (+ * #&+ : $ &1 1 s2 = * in L2 = * out 1 + % F&%& 1 #&F 5ρ F1 H&' < %& F$ %& M$ < 5 +& + + % F&%& 5% + + <$(& M$ M$ # 8 ( &# 2 #& = S11* = 0.6613 ∠ 44.115º = S22* = 0.61152 ∠ 11.365º 1 %81%$1 # + + % F&%& 1 + 11 + + <$(& ( 5 < ( ? +&# % + & $ !& % +# 2 + 1 +&+ = "= =∠6 "= 7, + <$(& +&# 28+ 84&# 4 # +4$0+ # % &# 1 - J ($+% # # (&# 1 % 2 &# 4 &2&> %&' 4 + & % 4 % 1 + $ * + % F&%& # 2 + 1 +& $& + # # 77 F1 H&' ρ 1 +&+ % 1 +&241&F&% %&' % + $& 1 " = "==67∠ 6"9;= + RES ID=Rk1 R=24 Ohm PORTG P=2 GM=0.8625 GA=36.86 Deg 2 PORTG P=1 GM=0.8834 GA=63.58 Deg SUBCKT ID=ATF 1 NET="f351432b" 1 3 MLIN ID=TL1 W=w1 mm L=L1 mm MSUB=RT6006 w1=1.221 MLIN ID=TL2 W=w1 mm L=L1 mm MSUB=RT6006 L1=5.371 CAP ID=Cs2 C=30 pF CAP ID=Cs1 C=30 pF RES ID=Rs2 R=47 Ohm RES ID=Rs1 R=47 Ohm MSUB Er=6.15 H=1.27 mm T=0.035 mm Rho=1 Tand=0.0027 ErNom=3.38 Name=RT6006 ! $ /B !& +&2$1 2 + + +& * & %&' 1 $ 5 1 + +& $& + 4 82 $/ ,$ 1 ! +$1 # 4 3& " '3 ! # ( 2 + 1 - J 4 *&+ 1# + 11 ' &% 1 F %$ %& # 7 "7 -D> + # %& - JR ; 79 # + f (GHz) |S11| (dB) |S12| (dB) |S21| (dB) |S22| (dB) Ga (dB) Gmax (dB) Fn (dB) "7 "7 "7 "7 6 "7 7 "7 9 "7 "7 ; "7 = "7 , "7 "7 "7 "7 6 "7 7 "7 9 "7 "7 ; "7 = "7 , "7 14:8=: "7 "7 "7 6 "7 7 "7 9 "7 "7 ; "7 = "7 , "76 "76 G " 7, G ",6 G 6" 6 G 6"9 9 G 6"=6 G 7" 9= G 7"7, G 7"=6; G 9" , G 9"9; G 9",9, G "6 9 G ";, G ;" 69 G ;"; 6 G =" , G ="; G ," G ,"=9 G6 "7; G6 " 7 L914:8? G6 "= G6 " 77 G66"7, G67"7 = G69"76, G6 "9; G6;"= G6," = G7 ";6 G7 " ;; G76"9=; G ," =6 G ," = G ," = G ," = G ," = G ," = G ," ;, G ," ;, G ," ;= G ," ;; G ," ;; G ," ; G ," ; G ," ;9 G ," ;9 G ," ;7 G ," ;7 G ," ;6 G ," ;6 G ," ; G ," ; L1<48?8 G ," ; G ," ; G ," ; G ," ; G ," ; G ," , G ," , G ," , G ," = G ," = G ," = ;" 76 ;" 67 ;" 9 ;" ;" ;"9,; ;"9== ;"9;, ;"9 , ;"9 ;"99 ;"97 ;"96 ;"9 6 ;"9 7 ;"9 7 ;"7,9 ;"7= ;"7; ;"7 ; ;"79= 1?4:>: ;"77= ;"76, ;"7 , ;"7 ;"7 ;"7 ;"6, ;"6= ;"6;6 ;"6 7 ;"697 G 6"; ; G 6", = G 7" 7 G 7"7 = G 7"; , G 7",, G 9" ; G 9"99; G 9"=9 G " 9 G "7 9 G ";=, G ;" 9 G ;"7;6 G ;"=69 G =" G =" 7 G ," 7 G ,"776 G ,"=,6 G6 "6 L9=4>@9 G6 "= G6 "6,7 G6 ",97 G6 "99 G66" =, G66"=;9 G67" G69"7 G6 "6 9 G6;" ;, G6="6 7 ;" ;" 9 ;" 7 ;" 6 ;" ;" ;" ;"9, ;"9= ;"9; ;"9 ;"99 ;"97 ;"96 ;"9 ;"9 ;"9 ;"7, ;"7= ;"7; ;"7 1?4:>; ;"79 ;"77 ;"76 ;"7 ;"7 6 ;"7 6 ;"6,6 ;"6=7 ;"6;7 ;"6 7 ;"699 ;" ;; ;" 9 ;" 97 ;" 7 ;" 6 ;" ;" , ;"9,= ;"9=; ;"9; ;"9 9 ;"999 ;"977 ;"967 ;"9 6 ;"9 6 ;"9 6 ;"7, ;"7= ;"7; ;"7 1?4:>; ;"79 ;"77 ;"76 ;"7 6 ;"7 6 ;"7 6 ;"6,6 ;"6=7 ;"6;7 ;"6 9 ;"69 " 97 " 969 " 9 ; " 9 " 9 " 9 9 " 7,; " 7, " 7= " 7;9 " 7 = " 7 " 796 " 779 " 76= " 76 " 7 6 " 7 " 7 = " 7 " 6,7 1489<1 " 6= " 6;, " 6; " 6 7 " 69; " 67, " 67 " 669 " 6 ; " 6 " 6 6 79 B 2& @# A " =, " , , " , " ,6 " ,7, " , " ,;9 " ,=, " " 9 " = " 7 " 99 " = " = " ,7 " = " " 67 " 7; " =4811@@ " ;7 " =; " " 6 " ; " 7 " 96 " " ;, " ,6 " 6 f (GHz) |S11| (dB) "76 "766 "767 "769 "76 "76; "76= "76, "77 "77 G77" = G76";67 G7 "9 ; G7 ",,6 G6,"7== G6=" ,, G6 "=7 G69"; G67"; ; G66";, |S12| (dB) G G G G G G G G G G $ ," ," ," ," ," ," ," ," ," ," , Ga (dB) Gmax (dB) G6,"9= G7 ",; G7 "9;9 G77"7 G7 "797 G7="6, G7," ,; G7="7 G7 "9 G77"7;, ;"679 ;"66 ;"6 ;"6 ; ;"6 ; ;" ,= ;" == ;" ;, ;" , ;" ;"67 ;"66; ;"6 = ;"6 , ;"6 , ;"6 ;" , ;" = ;" ;6 ;" 9 " " " " " " " " " H & " B@ & 0+ ;"7977∠ ="= 9= ' 7 " 7 -D> =6 ∠ − = " ;7 " |S22| (dB) ;"679 ;"669 ;"6 ;"6 ;"6 ; ;" ,; ;" == ;" ;= ;" , ;" 9 9 9 1 F %$ %& # & = |S21| (dB) ; ; ; # 2 + " 2(&0 1 + +& $& Fn (dB) 6 ,= , =7 ; , 99 7; " 7 + 4 82 B 2& " " " " " " " " " " + " =;9∠ − 9";; ; " ,69∠ −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k1 R=24 Ohm PORT P=1 Z=50 Ohm 2 PORT P=2 SUBCKT Z=50 Ohm ID=ATF 1 NET="f351432b" 1 3 MLIN ID=TL1 W=w mm L=L mm MSUB=RT6006 w=1.306 ! !& +&2$1 2 + ( # 2 + 1 + +& $& B 2& " =6 $ + 4 82 ∠ − 7;" 66 7" 66=∠ =" 9 R " CAP ID=Cs2 C=30 pF CAP ID=Cs1 C=30 pF RES ID=Rs2 R=47 Ohm = MLIN ID=TL2 W=w mm L=L mm MSUB=RT6006 L=4.666 4B $/ ,$ 5 4 + M$ " H & &%$1 &> 2 + 4 1 F %$ %& # + % % &> + # " 99 ;∠; "= "9, 7;∠ − 6"77; =6 # SO R " 7; Γ ' RES ID=Rs1 R=47 Ohm MSUB Er=6.15 H=1.27 mm T=0.035 mm Rho=1 Tand=0.0027 ErNom=3.38 Name=RT6006 = "; 96,∠ 9" 7; 7 "7 -D> ! + $#& # ! $ $ * 1 + (&1&# # # 1 #&+4 +& &* " 1 F % ! 7- W R ", ,6= 5 ∆ = "7 7 ≤ " $ <- ! '2 + 4$ # 4 %& 1 + (&1&# # # 1 #&+4 +& &* < 2 ) # % +&# (1 2 # (&# 1 & #$%%&' # 1 +&+ %& # # # 5 4 1 + 4 # 8 1 & 4 8% &% 2 %$ 1M$& * 1 # 1 % # !2& < % 2 &24 # %& + # F$ 5# % # 2 # M$ 1 241&F&% # +%&1 " 9484941 "' #$ !'"& < M$ # + 4 + 1 + '5 '$ '& !' '5"'M#$ !'5 '$ '2 + < 8 $ + $#& 4 + ( %$ 1 + + 1 + % & + M$ * 1 +&+ 4 4 # ( # +" '2 + *& 1# + 11 ' &% 1 + % ( 1 28H&2 +F %& # 4 %& 4 4 %& 1 28H&2 # 4 %&' 1 1&# 1 ( 1 # 1 #&+4 +& &* 5 1 +&+ " ρ = ρ = 4 + 4 H&2 1&2 + + − ρ ρ − ρ ρ F&%& +# &* F&%& +# 1 + 1&# + # 1 ( 1# 1 + / F1 H&' # F$ 5# % 1 + # $&# 5 # %& F1 H&' # F$ 5# % 1' &% 2 1 + 2&+2 + M$ 1 #&+4 +& &* 5 1 +&+ 5 i = ρi @6" G A = ρi @6" G A i + 4$ # 4 &%$1 &> 4 1 % + 1 M$ 1 %$ # &4 1 %&' & @! R A" 1 M$ M$ # 8 M$ ρ = 5 ρ 241&F&% # = " %'2 # # + 1 + % % ?+ &% + # 1 + : 1 1 M$ + M$& + ( $ 241&F&% # 2? &2 $&# 1 * 1 # 1 % F&%& # F1 H&' # F$ + 8 & $ 1 1 % F&%& F1 H&' '4 &2 + + ρ =ρ M$ *& 1 + (1 + 4 4 %& # + 4 1 F ( &% M$ & 4 1 2 +4 1 F %$ %& # & 0+ % 7= 1 F$ %&' J- # " # # 5 1 # # 1 % F&%& # %& @- A + # %& F1 H&' # % ρ = +* 1 + # 1 + % F&%& ρ =ρ + +# − + ($+% 8 4 ( 1 -8H&2 @6" G A +F %& i ρ ρ = ρi F1 H&' M$ # 8 4 # 1 +& $& 2 = "; 96,∠ 9" ρ = + − i ρ ρ = ρ i = "6,9 ∠6=" 9 % + %$ %& # + + M$ + ( # 8 1 2? &2 F % # $&# 4 +&(1 # 1 +&+ @B R A 5 1 < ( 1 &# 1 % F&%& # F1 H&' 41&% # +&2 ? % )$ # + # %& 2& i ρ = ρ < % M$ ( 2 + $ ($ # 4 %&' 1 + 1&# # $ + 241&F&% # " 1 B 4 < % + % (1 % 24 1&# $ 2 + M$ 1 1 & ρ = ρ i 1 # 4 %&' 1 # + 8 ($ 5 + 4$ # M$ $ + #&+4 +& &* F$ %& % % 2 " 1 M$ + # ( 8 % + $& $ 2&+ 1 2? &2 F % # $&# 4 +&(1 5 $ &* 1 # # 4 %&' 1 # 5 1 # 1 #&+4 +& &* % 4 (1 " 1 + 241 2 +$ 4 &2&> %&' *? + F C < 2& M$ #&+4 b 4 1 4 &2&> %&' # 1 + #&+ : +" < % 4 %& 1 4 &2&> %&' & 1 +& $& F& $ #$%& 2 + 1 + % F&%& +# F1 H&' 1 #&+ : % 2 + 4$ # RES ID=Rk1 R=24 Ohm PORTG P=1 GM=0.72539 GA=25.2 Deg 2 PORTG P=2 SUBCKT GM=0.3951 ID=ATF 1 GA=38.1265 Deg NET="f351432b" 1 3 MLIN ID=TL1 W=w mm L=L mm MSUB=RT6006 ! 1% $ >B 1 +&+ % 1 + F %$ %& + # & f (GHz) MLIN ID=TL2 W=w mm L=L mm MSUB=RT6006 CAP ID=Cs2 C=30 pF CAP ID=Cs1 C=30 pF RES ID=Rs2 R=47 Ohm 4 w=1.306 L=4.666 |S11| (dB) $/ ,$ RES ID=Rs1 R=47 Ohm ! 3& " + + % F&%& 0+ +# |S12| (dB) |S21| (dB) F1 H&' + 7, MSUB Er=6.15 H=1.27 mm T=0.035 mm Rho=1 Tand=0.0027 ErNom=3.38 Name=RT6006 ( . # 8 1 + +& $& |S22| (dB) Fn (dB) + +$1 # + Fnmin (dB) f (GHz) 1.4 1.401 1.402 1.403 1.404 1.405 1.406 1.407 1.408 1.409 1.41 1.411 1.412 1.413 1.414 1.415 1.416 1.417 1.418 1.419 1.42 1.4204 1.421 1.422 1.423 1.424 1.425 1.426 1.427 1.428 1.429 1.43 1.431 1.432 1.433 1.434 1.435 1.436 1.437 1.438 1.439 1.44 1.441 |S11| (dB) -4.0728 -4.0716 -4.0703 -4.0691 -4.0679 -4.0666 -4.0654 -4.0641 -4.0629 -4.0616 -4.0603 -4.059 -4.0578 -4.0565 -4.0552 -4.0539 -4.0526 -4.0513 -4.05 -4.0487 -4.0473 -4.0468 -4.046 -4.0447 -4.0434 -4.042 -4.0407 -4.0393 -4.038 -4.0366 -4.0353 -4.0339 -4.0325 -4.0312 -4.0298 -4.0284 -4.027 -4.0256 -4.0242 -4.0228 -4.0214 -4.02 -4.0186 |S12| (dB) -22.851 -22.85 -22.849 -22.847 -22.846 -22.845 -22.843 -22.842 -22.841 -22.839 -22.838 -22.836 -22.835 -22.833 -22.832 -22.831 -22.829 -22.828 -22.826 -22.825 -22.823 -22.823 -22.822 -22.82 -22.819 -22.817 -22.816 -22.814 -22.813 -22.811 -22.81 -22.808 -22.807 -22.805 -22.804 -22.802 -22.801 -22.799 -22.798 -22.796 -22.794 -22.793 -22.791 $ |S21| (dB) 14.839 14.832 14.824 14.817 14.809 14.801 14.794 14.786 14.779 14.771 14.764 14.756 14.749 14.741 14.734 14.726 14.719 14.711 14.704 14.696 14.689 14.686 14.682 14.674 14.667 14.659 14.652 14.645 14.637 14.63 14.622 14.615 14.608 14.6 14.593 14.586 14.579 14.571 14.564 14.557 14.549 14.542 14.535 / & |S22| (dB) -50.545 -51.004 -51.488 -51.999 -52.54 -53.115 -53.729 -54.388 -55.099 -55.871 -56.715 -57.648 -58.69 -59.87 -61.232 -62.842 -64.814 -67.358 -70.953 -77.12 -91.597 -83.07 -76.238 -70.54 -67.124 -64.682 -62.782 -61.228 -59.914 -58.775 -57.772 -56.875 -56.064 -55.324 -54.644 -54.016 -53.432 -52.885 -52.373 -51.891 -51.435 -51.003 -50.593 " Fn (dB) 0.2092 0.20932 0.20945 0.20958 0.2097 0.20983 0.20996 0.21009 0.21021 0.21034 0.21047 0.2106 0.21073 0.21086 0.21099 0.21112 0.21125 0.21138 0.21151 0.21165 0.21178 0.21183 0.21191 0.21204 0.21218 0.21231 0.21244 0.21258 0.21271 0.21285 0.21298 0.21312 0.21326 0.21339 0.21353 0.21367 0.21381 0.21394 0.21408 0.21422 0.21436 0.2145 0.21464 Fnmin (dB) 0.20912 0.20926 0.20939 0.20952 0.20965 0.20979 0.20992 0.21005 0.21018 0.21032 0.21045 0.21058 0.21072 0.21085 0.21098 0.21111 0.21125 0.21138 0.21151 0.21164 0.21178 0.21183 0.21191 0.21204 0.21218 0.21231 0.21244 0.21257 0.21271 0.21284 0.21297 0.2131 0.21324 0.21337 0.2135 0.21363 0.21377 0.2139 0.21403 0.21416 0.2143 0.21443 0.21456 . 2 4 # 2 + (+ * % 1 1 %%&' # + + % F&%& +# F1 H&' # F$ 5# % &# + ' &% 2 + % +& $ 11 * 1 F % # $&# +$ * 1 2? &2 1 F %$ %& # & 0+ 5 1 # 4 %&' 1 + 1&# 2(&0 + 2$5 ($ 4 4 1 # 1 # 4 %&' 1 ( 9 # + # + 1 7 # F ( &% %&' + 4 # 8 ( + 1 M$ + & +$F&%& # 4 %&' 5 1 2 5 M$ + # ( # + +$2 M$ 2 5 " 1 4 % + # 11 * # # # + % ( 1 4 &2&> %&' # 1 + % F&%& + # F1 H&' $+ 2 + $ < 2& " 241 1 4 &2 < 5 M$ + 1 %%& 1 + 4 82 + # 1 #&+ : M$ + 4 &2&> M$ + % + + 8 1 + 2'#$1 + 5 1 + $2 + # 1 + % F&%& F1 H&' % 2 1 + 1 & $# + # 1 + 1? + % % # + F$ # 1 +&+ " # 28+ ( 8 1 & 1 + () &* + # 1 4 &2&> %&' M$ + 8 M$ 1 # 4 %&' 1 # 5 1&# + 1 2 ) 4 +&(1 2 & # $ 2 # $&# % 4 (1 + + < −6 1 1 4 +$1 # # 1 & $# # 1 + 1? < −6 + $ * +* 1 $ + + 1 4 5 > < "69 4 4 &2&> %&' + 4 4 %& + +& $& + ! # + ?8 + # 1 + % F&%& " +# 1 + % F&%& H & + # F$ "# " F1 H&' # +4$0+ # 1 5% 51 %<$ 5 H & 4 &2&> %&' + 8 ρ = " 99,∠9 " , ≠ ρ ρ = ";69=∠ ";7 ≠ ρ i 1* 1 2 # M$ # 1 + 1? + # +2&+&' % % # + 4 1 $ * * 1 + 8# %<$ " , 22 5 1 1 1 1 & + + % F&%& +# F1 H&' ( # 2 +$ $ 4 M$ : 2 ) # 1 %& % + # 24 4$ # 4 %& 1 +& $& (1 f (GHz) 1.4 1.401 1.402 |S11| (dB) -33.364 -33.438 -33.508 |S12| (dB) -17.842 -17.835 -17.827 |S21| (dB) 14.139 14.132 14.126 9 1 1 2(&0 + * 8 2 #&F&% # # & $# # "66 22" ($ # 4 %&' # 1 #&+ : F& 1 5 $ 4 % 1 F % # $&# % 2 + |S22| (dB) -30.599 -30.636 -30.673 Fn (dB) 0.34952 0.34936 0.3492 Fnmin (dB) 0.2087 0.20883 0.20896 f (GHz) 1.403 1.404 1.405 1.406 1.407 1.408 1.409 1.41 1.411 1.412 1.413 1.414 1.415 1.416 1.417 1.418 1.419 1.42 1.4204 1.421 1.422 1.423 1.424 1.425 1.426 1.427 1.428 1.429 1.43 1.431 1.432 1.433 1.434 1.435 1.436 1.437 1.438 1.439 1.44 1.441 |S11| (dB) -33.574 -33.635 -33.691 -33.742 -33.789 -33.83 -33.866 -33.896 -33.921 -33.94 -33.954 -33.962 -33.965 -33.962 -33.954 -33.94 -33.92 -33.896 -33.884 -33.866 -33.831 -33.791 -33.747 -33.698 -33.644 -33.587 -33.526 -33.461 -33.392 -33.32 -33.245 -33.167 -33.086 -33.003 -32.917 -32.829 -32.74 -32.648 -32.555 -32.461 |S12| (dB) -17.82 -17.813 -17.806 -17.799 -17.792 -17.784 -17.777 -17.77 -17.763 -17.756 -17.749 -17.741 -17.734 -17.727 -17.72 -17.713 -17.706 -17.698 -17.696 -17.691 -17.684 -17.677 -17.67 -17.662 -17.655 -17.648 -17.641 -17.634 -17.626 -17.619 -17.612 -17.605 -17.597 -17.59 -17.583 -17.576 -17.568 -17.561 -17.554 -17.547 $ 1 # = " B 2& R " & " 2(&0 < % 2(& # 1 + 4 82 ∠ ;"=6 " 6 6=∠ ;" 79 9" 79∠6="96 B R "67 4 |S21| (dB) 14.119 14.113 14.106 14.1 14.094 14.087 14.081 14.074 14.068 14.062 14.055 14.049 14.043 14.036 14.03 14.024 14.017 14.011 14.008 14.005 13.998 13.992 13.986 13.98 13.973 13.967 13.961 13.955 13.948 13.942 13.936 13.93 13.924 13.917 13.911 13.905 13.899 13.893 13.887 13.881 " ; . "# +!# 1 ∠ − = ";= ,# # 9 |S22| (dB) -30.71 -30.747 -30.783 -30.818 -30.853 -30.888 -30.922 -30.956 -30.989 -31.021 -31.053 -31.084 -31.115 -31.145 -31.175 -31.204 -31.232 -31.26 -31.271 -31.287 -31.313 -31.338 -31.363 -31.387 -31.41 -31.433 -31.454 -31.475 -31.495 -31.515 -31.533 -31.551 -31.567 -31.583 -31.598 -31.612 -31.625 -31.637 -31.648 -31.659 +&+ Fn (dB) 0.34903 0.34887 0.34871 0.34855 0.34839 0.34823 0.34807 0.34791 0.34775 0.3476 0.34744 0.34728 0.34712 0.34697 0.34681 0.34665 0.3465 0.34634 0.34628 0.34619 0.34603 0.34588 0.34572 0.34557 0.34542 0.34526 0.34511 0.34496 0.34481 0.34466 0.3445 0.34435 0.3442 0.34405 0.3439 0.34375 0.3436 0.34346 0.34331 0.34316 " N" H Fnmin (dB) 0.20909 0.20922 0.20935 0.20948 0.20961 0.20975 0.20988 0.21001 0.21014 0.21027 0.2104 0.21053 0.21066 0.21079 0.21092 0.21105 0.21118 0.21131 0.21137 0.21145 0.21158 0.21171 0.21184 0.21197 0.2121 0.21223 0.21236 0.21249 0.21262 0.21275 0.21288 0.21301 0.21314 0.21327 0.2134 0.21353 0.21367 0.2138 0.21393 0.21406 J R 7" = # L! LR G66"= # L! LR G6 " =; # 2 + M$ WR " , 5 ∆ = " 976 ≤ 4 1 M$ 1 241&F&% # + 8& % #&%& 12 + (1 " 1 +& $& F& $ + 4$ # (+ * 1 + %& %$ F %& + # + (&1&# # # F$ 5 # % 5 1 + %? %$1 + # $&# + # %& 1 + % F&%& +# F1 H&' # F$ 5# % M$ + 4$ # 1 & 4 2 1 241&F&% # # # 1 &' + (1 5 4 ( $ F % # $&# # 2& # +4 % &* 2 " 2 + 4$ # 4 %& 1 # + & % #&%& 12 + (1 4 %$ 1M$& % F&%& # F1 H&' # F$ # % 1 &# " & + "! !!' / 0.8 1.0 Swp Max 1.4GHz 2. 0 6 0. 2. 0 6 0. 0.8 1.0 Swp Max 1.4GHz 0 0. 4 0. 4 3. 0 4. 3. 0 5.0 4. 0.2 0.2 10.0 0 5.0 10.0 5.0 4.0 3.0 2.0 1.0 0.8 0.6 0.4 0 0.2 10.0 5.0 4.0 3.0 2.0 1.0 -3 .0 ! #$ '$ ' $ Swp Min 1.4GHz -1.0 -0 .6 . &'- !' " '! !' ! 0 * >M$ 2 + #&+ : # + 5 % + & 1 #&+ : # $ # # +2& & 1 28H&2 % &# # # F1 H& +" 1 +& $& F& $ + -2 .0 .0 -2 -1.0 -0.8 - Swp Min 1.4GHz -0.8 0.4 0.8 .0 -0 .6 .0 .4 -0 -3 0 -4 9484: -5. $ 0 ! 0 . -0 GMN * ATF35143_ro SCIR2 * ATF35143_ro 2 -0. -4 . 0 0.6 -10.0 NFCIR[2,0.3] ATF35143_ro 4 -10.0 -0 SCIR1 * ATF35143_ro .2 -5. 0.2 10.0 -. $& & ! '& 4 &2&> # + 1 + # + 4 + % &* + # 1 241&F&% # + < % # 4 %&' & 2 #& 2( + % 1 M$ + % +& + : 1 # $ +& M$ + 4 #$>% 40 #&# + 4 4$ # * $ +M$ 2 # 1 $ &' # 1 + 6 4 + 96 ρ $1 ρ ρ ρ $8 1 8 1 ρ&1 ρ ! 1 % F&%& # # $ ρ + $ B " # 1 & $ 1 + 4 ρ 5 1 % F&%& # +F %& # 4 %& 1 + % F&%& # M$ % + $ # 4 ρ = ";69=∠ − 4 & # # 4 %&' ρ 5 1 % F&%& 1 % F&%& # + 1&# # 1 4 &2 # # 1 + $ # 4 " '2 + # ( 8 + 1 + +& $& + =ρ ρ =ρ =ρ + # 2 + i i 8 " 2 #& +4 % &* 2 ρ =ρ % 2 + 1 + % F&%& +4 % &* 2 ( ρ ρ&8 1 F1 H&' # F$ F1 H&' # % 8 + ($+% 1 28H&2 @6" G 6A @6" G 7A F1 H&' # % 5 # F$ # 1 4 &2 5 1 ";7 ρ = "==67∠ −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ρ $1 ρ 1 >= 0 %0"5 1 I% #$ ρ&1 ρ 1 ρ ρ $8 >= 0 I% %0"5 8 #$ ρ ρ&8 ! $ 8 ,B " & " " 8 " 2 + (+ * 8 4 + & 2 + + 1$%&' & 1& % * & # M$ 1 + &24 # %& + # 1 + 1? + # 1 4 # # # 1 + $ # 4 + 1&> (1 + F?+&% 2 " + + # (&# M$ + 4 +&(1 # 4 1 % F&%& # F1 H&' # F$ # 1 + $ # 4 $ % # 9 <2 241 # + 1 2 $ + $( TS= 5 $ 1? # TS7" + + + 1$%& $ & # 1 + # + # + # # 4 %&' & # 4 #& + +& % 2 2$ + 1 B& $ 6" G 9 5 4 &2&> # 1 + &24 # %& + # 1 + 1? + 241 # " 9 Ω λS7 ρ& λS7 λS= ! # λS= $ 1 # # + 1&# # 1 4 &2 F1 H&' # % # 1 4 &2 /B " & ρ " 4 # ? 2 + 1 +& $& #4 i 4 ρ = ";6∠ ";7 = ρ $ 99 # 4 1 % F&%& &24 # %& # 9 x" 6 9 Ω 6 * ! < * 2 + TS=" $ % 1%$1 2 + 4$ # # +4$0+ # 1 1? 8 # i & " 1 + &24 # %& + # 1 1? 4 %& 1 B& $ & * + 1 &24 # %& i =@ 6" G " & * + 1 /?FA # TS7 5 # 1 + $( %& : ; = : + &: #2& 4 1 1 # ,*4 +& $ 1 + &; Ai = 8 @6" G 9A 8; + M$ # =@ + &; # : = #2& 5+ 4 ρ Z 1 4B " 8 +& +$+ & $&2 + ρ 1\ Ai = 8 %& # 1 4 a: ; = 8 @: + &: ,*4 A=8 @ + &: ,*4 A @6" G 2 1&> # 1 5 1 &2 & & =8 − &; @6" G ;A = &8 a: 8 = 8 a8 ,*4 @6" G =A # +4 ) # 8 : ,*4 =− ; 8 = 8 + % + + + ( M$ ρ ,*4 =− 8 ; = ";6∠ − 8 = 8 a8 ,*4 ";7 4 9 = 9 a8 1 @6" G ,A ,*4 8 = 9 a8 ,*4 = = " 69 @6" G A A 5 8 F& $ ,*4 =7 " ; " +& 1 &241 2 PORTG P=1 GM=0.7358 GA=338.3 Deg 2 + + M$ # 8 1 TLIN ID=TL1 Z0=81.05 Ohm EL=90 Deg F0=1.42 GHz # # 1 PORT P=2 Z=50 Ohm TLOC ID=TL2 Z0=42.07 Ohm EL=45 Deg F0=1.42 GHz ! 9 $ 1 +& $& <2 78 " 4 + % +&+ & # 4 " 1 " # # 1 + $ # 4 # 4 1 # # 1 + $ # 4 + # ( 8 F$ # 1 + $ # 4 ρ = "==67∠ 6"9= = ρ i 1 2&+2 41 2& # +4 4 # 4 1 &24 + $ # 4 # 2 + M$ 8 = 6"7,=9 5 8 ,*4 = PORT P=1 Z=50 Ohm + +* % +& F$ %& M$ E +&+ $ <8 " 4 . 1 2&+2 &24 # %& # # 4 1 % F&%& # F1 H&' # $ &24 # %& # 9 x" !& $& # # %& # 9 <2 1 # # 1 ",6,9 " TLIN ID=TL2 Z0=23.5 Ohm EL=90 Deg F0=1.42 GHz TLOC ID=TL1 Z0=6.94 Ohm EL=45 Deg F0=1.42 GHz ! /?FA & PORTG P=2 GM=0.8834 GA=-63.58 Deg ! 1 + # &24 # %& + # 2 +& # 4 M$ : + 5 4 ? 2 + 1? + # 2 +& # %< + % 24 %&' % ? # %$ # 2 " # +2 + # *? # ( 2 + $ & 2( + # + # # 4 %&' 5 +$2 1 +" 9; " /?FA . &241 2 1 + % 1? + 1 + 1 1 & $# # 1 + 2&+2 + 5 + * 2 + 4 %$4 4 + 5 1 + # + # 4 1 &> %&' # 1 + CAP ID=C4 C=1e4 pF RES ID=R2 R=12 Ohm CAP ID=C3 C=1e4 pF TLIN ID=TL1 PORTG P=1 Z0=81.05 Ohm GM=0.73 EL=90 Deg GA=-21.74 Deg F0=1.42 GHz RES ID=R1 R=50 Ohm CAP ID=C1 C=1e4 pF TLIN ID=TL3 Z0=100 Ohm EL=90 Deg F0=1.42 GHz TLIN ID=TL6 Z0=100 Ohm EL=90 Deg F0=1.42 GHz CAP ID=C2 C=100 pF TLOC ID=TL2 Z0=42.07 Ohm EL=45 Deg F0=1.42 GHz TLIN ID=TL4 Z0=23.5 Ohm EL=90 Deg F0=1.42 GHz PORTG P=2 GM=0.8834 GA=-63.58 Deg TLOC ID=TL5 Z0=6.94 Ohm EL=45 Deg F0=1.42 GHz ! " " '2 + 4$ # 4 %& 1 F& $ + < $ &# 1 + # + 4 +# % # + # # # + % 41 5 + < : #&# 1 + # + # 4 1 &> %&' " + 2$ + % & $ %&' # 4 %&' 2 #& + +$1 # + ( f (GHz) 1.4 1.401 1.402 1.403 1.404 1.405 1.406 1.407 1.408 1.409 1.41 1.411 1.412 1.413 1.414 1.415 1.416 1.417 1.418 1.419 1.42 1.4204 $ > " |S11| (dB) -9.3639 -9.7479 -10.16 -10.602 -11.08 -11.596 -12.158 -12.771 -13.445 -14.19 -15.021 -15.956 -17.023 -18.259 -19.723 -21.511 -23.797 -26.949 -32.013 -45.914 -36.411 -32.683 " & " " . |S12| (dB) -0.53437 -0.48651 -0.4402 -0.39553 -0.35264 -0.31162 -0.27261 -0.23571 -0.20104 -0.16872 -0.13888 -0.11162 -0.087071 -0.06534 -0.046539 -0.030776 -0.018156 -0.008777 -0.002733 -0.000111 -0.000993 -0.002343 9= |S21| (dB) -0.53437 -0.48651 -0.4402 -0.39553 -0.35264 -0.31162 -0.27261 -0.23571 -0.20104 -0.16872 -0.13888 -0.11162 -0.087071 -0.06534 -0.046539 -0.030776 -0.018156 -0.008777 -0.002733 -0.000111 -0.000993 -0.002343 |S22| (dB) -9.3639 -9.7479 -10.16 -10.602 -11.08 -11.596 -12.158 -12.771 -13.445 -14.19 -15.021 -15.956 -17.023 -18.259 -19.723 -21.511 -23.797 -26.949 -32.013 -45.914 -36.411 -32.683 $ &# + f (GHz) 1.421 1.422 1.423 1.424 1.425 1.426 1.427 1.428 1.429 1.43 1.431 1.432 1.433 1.434 1.435 1.436 1.437 1.438 1.439 1.44 1.441 |S11| (dB) -29.017 -25.067 -22.353 -20.284 -18.613 -17.212 -16.008 -14.954 -14.019 -13.178 -12.418 -11.724 -11.087 -10.501 -9.9576 -9.4532 -8.9834 -8.5446 -8.1338 -7.7485 -7.3866 $ $ +4$0+ # +&2$1 % ($ # 4 %&' # 7 12 |S12| (dB) -0.00544 -0.01354 -0.02534 -0.04087 -0.06019 -0.08331 -0.11027 -0.14105 -0.17566 -0.21409 -0.25631 -0.30229 -0.35199 -0.40535 -0.46231 -0.5228 -0.58675 -0.65407 -0.72466 -0.79844 -0.87529 & +6 # |S21| (dB) -0.00544 -0.01354 -0.02534 -0.04087 -0.06019 -0.08331 -0.11027 -0.14105 -0.17566 -0.21409 -0.25631 -0.30229 -0.35199 -0.40535 -0.46231 -0.5228 -0.58675 -0.65407 -0.72466 -0.79844 -0.87529 " & + (+ * M$ 1 + 4$ +# + 2 + 1 + 4 82 + 10% &% + # 1 + 4 2 V # " 1 $ + 1? + + # 2 +& # # +5 1 $ # 1 +$+ " 1 4 & %&4 1 4 (1 2 2 2 + & * & (1 1 1 & $# 10% &% M$ 1 1 & $# * ? 4 1 M$ + # %$|S22| (dB) -29.017 -25.067 -22.353 -20.284 -18.613 -17.212 -16.008 -14.954 -14.019 -13.178 -12.418 -11.724 -11.087 -10.501 -9.9576 -9.4532 -8.9834 -8.5446 -8.1338 -7.7485 -7.3866 " 1 F %$ %& # & # 5 + 1&# # 1 0+ + ( & #& 2 #& " 1? + 4 82 + F?+&% + $+ # 4 11 1 $ 4 & %&4& 5 % 2 4 # %? 2 + 1 + %< + # %$241 $ 1 %&' # 2 : % < % 1 + M$ 1 4 &2&> 1 2 # 1 &# 1 & 1 M$ + #$% 1 4 + #&2 +& + F?+&% + 1 + 4 +&(1 + + 1$%& +" + # ( 2 + M$ %$ M$ + 4$ # ( + + 1$%& + * & # 1 %<$ 5 1 1 & $# # 1 + 1? + +&2$1 8 2 " +? +& $+ 2 + $ 4 % + # 4 &2&> %&' $20 &% 4 # 2 + $ &1&> % 2 * & (1 + 4 &2&> (1 + 1 %<$ % 2 1 1 & $# # 1 + 1? + 4 11 $ #&+ : F ( &% (1 " + %< + 5 1 & $# + # 1 + 1? + + 8 1 + 4 82 + )$+ 2& + M$ 1 () &* # 1 4 &2&> %&' + 8 M$ 1 # 4 %&' 1 + 4$ +# # 5 # + 1&# + 2 5 # 6 # 1 F %$ %& # 7 "7 -D>" +4$0+ # + 4 % + + M$ # 1 +& $& # # # 4 %&' 4 + 241&F&% # +" 9, CAP ID=C1 C=1e4 pF RES ID= R1 CAPR=1 Ohm ID= C2 C=1e4 pF w1b=1.341 w4b=2.625 w4a=4.932 w3a=1.156 w2a=0.3 1 # $ MCROSS ID=TL1 W1=w1b mm W2=0.006814 mm 2 W3=w1b mm W4=w4b mm MSUB=RT6006 1 MLIN ID=TL2 W=w1b mm L=22.82 mm MSUB=RT6006 MSUB Er= 6.15 H= 1.27 mm T= 0.035 mm Rho= 1 Tand=0.0027 ErNom=3.38 Name= RT6006 MLIN ID= TL4 W=0.3262 mm L=26.8 mm MSUB=RT6006 8 PORTG P=1 GM=0.7358 GA=338.3 Deg ! RES ID=R2 R=50 Ohm ? " " MLIN ID =TL5 W=w3a mm L=20.84 mm MSUB=RT6006 3 MCROSS ID=TL8 W1=w3a mm W2=w2a mm W3=w3a mm W4=w4a mm MLEF ID=TL3 W=w4b mm L=14.48 mm MSUB=RT6006 MLIN ID=TL6 W=w2a mm L=26.79 mm MSUB=RT6006 2 1 4 9 : CAP ID=C3 C=100 pF 3 CAP ID=C5 C=1000 pF PORTG P=2 GM=0.8625 GA=325.3 Deg 4 MLEF ID= TL7 W=w4a mm L=16.75 mm MSUB=RT6006 > & " @ " " " . # ? ] $ #* & M$ 4 Z& 1& +[ % % # 4 % % # $ % # $ # 1 + " , 6"6= "677 "= <% . + # M$ 1 + M$ < 5 M$ +& 1 $ # 1 + 4$ 1? + 4$ # $+ %< + # 1 + 1? +" 6 "; = 6"7 . 7 "6 ";, " 9 9" " " " ,7 ,"7 & < 5 1 2 + # $ &' 1? + !! +4 %&F&% 1 1 %< # 1 + 1? + 1 + M$ + 8 +# + + 1 2 + % 2 + $ + % + +8 1!! Z& 1& [ 5 +& + # ( # +4 %&F&% B& 12 +& +&2$1 2 + ( 2 + 1 + +$1 # + % &# + 1 +& $& (1 # # * 2 + M$ % + #& 2 #& + < % + $&# $ # 4 %&' # 1 2 + 6 # 1 + 4$ + # # 5 # + 1&# " f (GHz) 1.4 1.401 1.402 1.403 1.404 1.405 1.406 1.407 1.408 |S11| (dB) -23.856 -24.31 -24.779 -25.267 -25.773 -26.299 -26.848 -27.421 -28.019 |S12| (dB) -0.30139 -0.29943 -0.2976 -0.2959 -0.29433 -0.29289 -0.29156 -0.29034 -0.28924 |S21| (dB) -0.30139 -0.29943 -0.2976 -0.2959 -0.29433 -0.29289 -0.29156 -0.29034 -0.28924 |S22| (dB) -24.422 -24.916 -25.432 -25.97 -26.532 -27.122 -27.743 -28.396 -29.087 Fn (dB) 0.28567 0.2854 0.28515 0.2849 0.28467 0.28445 0.28425 0.28405 0.28387 f (GHz) 1.409 1.41 1.411 1.412 1.413 1.414 1.415 1.416 1.417 1.418 1.419 1.42 1.4204 1.421 1.422 1.423 1.424 1.425 1.426 1.427 1.428 1.429 1.43 1.431 1.432 1.433 1.434 1.435 1.436 1.437 1.438 1.439 1.44 1.441 |S11| (dB) -28.646 -29.304 -29.995 -30.724 -31.492 -32.302 -33.157 -34.058 -35.001 -35.979 -36.972 -37.944 -38.314 -38.833 -39.552 -40.004 -40.122 -39.908 -39.435 -38.799 -38.087 -37.358 -36.646 -35.971 -35.339 -34.753 -34.213 -33.716 -33.259 -32.839 -32.454 -32.101 -31.776 -31.479 $ > |S12| (dB) -0.28823 -0.28734 -0.28654 -0.28583 -0.28521 -0.28468 -0.28423 -0.28386 -0.28357 -0.28334 -0.28319 -0.2831 -0.28308 -0.28307 -0.2831 -0.28319 -0.28333 -0.28352 -0.28375 -0.28403 -0.28435 -0.28471 -0.28511 -0.28553 -0.286 -0.28649 -0.28701 -0.28755 -0.28812 -0.28871 -0.28932 -0.28996 -0.29061 -0.29127 & " |S21| (dB) -0.28823 -0.28734 -0.28654 -0.28583 -0.28521 -0.28468 -0.28423 -0.28386 -0.28357 -0.28334 -0.28319 -0.2831 -0.28308 -0.28307 -0.2831 -0.28319 -0.28333 -0.28352 -0.28375 -0.28403 -0.28435 -0.28471 -0.28511 -0.28553 -0.286 -0.28649 -0.28701 -0.28755 -0.28812 -0.28871 -0.28932 -0.28996 -0.29061 -0.29127 " |S22| (dB) -29.819 -30.599 -31.431 -32.322 -33.279 -34.311 -35.421 -36.611 -37.867 -39.144 -40.341 -41.271 -41.516 -41.706 -41.528 -40.843 -39.878 -38.825 -37.79 -36.82 -35.928 -35.117 -34.379 -33.709 -33.098 -32.541 -32.031 -31.563 -31.133 -30.737 -30.371 -30.033 -29.72 -29.43 & " Fn (dB) 0.28371 0.28355 0.28341 0.28328 0.28317 0.28307 0.28298 0.28291 0.28286 0.28281 0.28279 0.28278 0.28278 0.28278 0.2828 0.28283 0.28288 0.28295 0.28303 0.28313 0.28324 0.28337 0.28352 0.28369 0.28387 0.28407 0.28429 0.28452 0.28477 0.28505 0.28534 0.28564 0.28597 0.28632 " % %1$& % ( # %& M$ +& (& < 5 #&F +2 # 1 ? +4 % + $& 1 # 4 %&' # + &24 # %& + % 241 ) + < 2 + 241 # 1 28+ + %&11 # +# $ + 4$ # *&+ 5 M$ + < 4 2& &# $ &1&> 1 + # + # # 4 %&' 241 # + 1 1 # 14 5 % 5 < 2 + % +& # < % % 241 ) + %81%$1 +" % # 2 + M$ 1 2 # 1 ? < % +&+ &# # 4 4 + 4 # 1 + 1&# 5 1 # # 1 4 &2 5 # 1 + $ # 4 +4 % &* 2 $ &24 # %& # 9 <2 5 4 + & 2 $ &1 + $ + 1 # # # 4 %&' " 9484> &'- !'" ' 0 !' ! 0 #$ !''$ ! 4 # < % + $& # 4 1 # # 1 241&F&% # %$5 $ &24 # %& # 9 <2 4 4 2& & 1 $ &' # 1 241&F&% # M$ + 4 #$>% # +G # 4 %& +" % + $& + # 4 %&' ( 4 1 # 2? &2 $&# 9 <2 % 2 + 2$ + 1 +& $& ! ρ = " 99,∠9 " , % + #&+4 +& &* + +& + % # 4 1 4 &2 +M$ 2 " 6= T>=Ω Ω 0 1 ρ ! $ 2 + *& &24 # %& O! # F& 1" + + $ 1? # TS7 # " " ρ&1 & " " 1 4 # 6" "7 + 4$ # 241 * & + &4 + # # + 4 # 4 1 1 4 &2 4 1 &24 # %& # 9 <2 # 1 + % % + # 1 %& %$& $ + #&+ : $ &1&> 2 + $ + $( # TS= %& %$& (& 4 1 1 % 2 # M$ + M$ # 6 0 1 L9>1:9 9 Ω 6 6= ! < * 2 + TS=" % 1%$1 2 + 4$ # 5 # +4$0+ # 1 1? $ 8 # 5+ 4 " & 4 %& 1 B& $ & * + 6" G 1 &24 # %& =@ 1 & * + #2& # TS7 5 # 1 + $( %& : ; = : + &: 4 1 1 # ,*4 +& $ 1 + &; A = 8 8; @6" G A + M$ # =@ # : = " 1 + &24 # %& + # 1 1? 8 +& +$+ & $&2 + 6&1 Z + &; A = 8 #2& # 1 4 %& a: ; = 8 2 1&> # 1 5 1 &2 & & @: + &: ,*4 A=8 @ + &: ,*4 A @6" G A =8 = &8 &; @6" G 6A a: @6" G 7A ,*4 # +4 ) # 8 : ; 8 8 O R9 x + O ! = +4 % 8 = = 8 a8 8 = ,*4 8 8 ; ,*4 = 9 a8 = 8 a8 @6" G 9A ,*4 = 9 a8 ,*4 @6" G 1 %81%$1 # 1 + &24 # %& + # 1 + 1? + O 5 O 2 + M$ 1 % F&%& # 1 4 &2 4 + ρ = " 99,∠9 " , +? 1 &24 # %& # F$ # F$ 8 ,*4 = =9 a ,*4 =9 a +ρ −ρ = ", 69 + ) " =6 ", 69 = ;" ;=Ω " =6 # # # 4 %&' $+ # TLOC ID=TL1 Z0=27.68 Ohm EL=45 Deg F0=1.42 GHz +& $& $ " (1 2$ + f (GHz) 1.4 1.401 1.402 " 1? + &# 1 + TLIN ID=TL2 Z0=48.05 Ohm EL=90 Deg F0=1.42 GHz PORT P=1 Z=50 Ohm $ F1 H&' 2 1&> # ", 69 = 7=" 7,6Ω !& &241 2 2 + + M$ # 8 1 +& $& ! # A & 1 + 4 82 |S11| (dB) -23.423 -23.852 -24.305 +!4 PORTG P=2 GM=0.6559 GA=308.3 Deg . " & 1 # F %$ %& + # & |S12| (dB) -0.019792 -0.017926 -0.016149 6 |S21| (dB) -0.019792 -0.017926 -0.016149 " 0+ |S22| (dB) -23.423 -23.852 -24.305 + f (GHz) 1.403 1.404 1.405 1.406 1.407 1.408 1.409 1.41 1.411 1.412 1.413 1.414 1.415 1.416 1.417 1.418 1.419 1.42 1.4204 1.421 1.422 1.423 1.424 1.425 1.426 1.427 1.428 1.429 1.43 1.431 1.432 1.433 1.434 1.435 1.436 1.437 1.438 1.439 1.44 1.441 $ ? |S11| (dB) -24.783 -25.29 -25.831 -26.408 -27.027 -27.696 -28.422 -29.216 -30.092 -31.067 -32.169 -33.433 -34.916 -36.71 -38.976 -42.058 -46.888 -58.757 -73.933 -53.058 -45.028 -40.922 -38.143 -36.037 -34.342 -32.922 -31.701 -30.629 -29.674 -28.812 -28.028 -27.307 -26.641 -26.022 -25.444 -24.901 -24.39 -23.907 -23.448 -23.013 & " |S12| (dB) -0.014461 -0.012864 -0.011358 -0.0099426 -0.0086192 -0.0073882 -0.00625 -0.0052053 -0.0042544 -0.003398 -0.0026365 -0.0019704 -0.0014003 -0.0009265 -0.0005497 -0.000270 0 0 0 0 -0.0001364 -0.0003512 -0.0006661 -0.0010817 -0.0015984 -0.0022165 -0.0029367 -0.0037591 -0.0046844 -0.0057128 -0.0068449 -0.0080809 -0.0094213 -0.010866 -0.012417 -0.014072 -0.015834 -0.017702 -0.019676 -0.021757 " " |S21| (dB) -0.014461 -0.012864 -0.011358 -0.0099426 -0.0086192 -0.0073882 -0.00625 -0.0052053 -0.0042544 -0.003398 -0.0026365 -0.0019704 -0.0014003 -0.0009265 -0.0005497 -0.0002704 0 0 0 0 -0.0001364 -0.0003512 -0.0006661 -0.0010817 -0.0015984 -0.0022165 -0.0029367 -0.0037591 -0.0046844 -0.0057128 -0.0068449 -0.0080809 -0.0094213 -0.010866 -0.012417 -0.014072 -0.015834 -0.017702 -0.019676 -0.021757 & |S22| (dB) -24.783 -25.29 -25.831 -26.408 -27.027 -27.696 -28.422 -29.216 -30.092 -31.067 -32.169 -33.433 -34.916 -36.71 -38.976 -42.058 -46.888 -58.757 -73.933 -53.058 -45.028 -40.922 -38.143 -36.037 -34.342 -32.922 -31.701 -30.629 -29.674 -28.812 -28.028 -27.307 -26.641 -26.022 -25.444 -24.901 -24.39 -23.907 -23.448 -23.013 . & " 11 + 4$ # 4 %& 1 ($ # 4 %&' ( &# 1 +&2$1 %&' % +& $& 4 + + & #$%& 8 1 # # 4 1 &> %&' 5 1 % # + # 4 &2&> 8 1 #&+ : 4 M$ +$ & %1$+&' F % 1 2 + 4 +&(1 1 # # 1 241&F&% # " 1 +& $& +M$ 28 &% + 4$ # 4 %& % 2 M$ # 7 1? + &# 1 +" 1 # # + % 41 5 + 4 %&' 1 # ? 1 #&+ : RES ID=R1 R=50 Ohm CAP ID=C2 C=1e4 pF TLIN ID=TL3 Z0=99.82 Ohm EL=90 Deg F0=1.42 GHz PORT P=1 Z=50 Ohm TLIN ID=TL2 Z0=48.05 Ohm EL=90 Deg F0=1.42 GHz CAP ID=C1 C=100 pF TLOC ID=TL1 Z0=28.04 Ohm EL=45 Deg F0=1.42 GHz ! f (GHz) 1.4 1.401 1.402 1.403 1.404 1.405 1.406 1.407 1.408 1.409 1.41 1.411 1.412 1.413 1.414 1.415 1.416 1.417 1.418 1.419 1.42 1.4204 1.421 1.422 1.423 $ , " |S11| (dB) -22.859 -23.284 -23.732 -24.206 -24.708 -25.243 -25.814 -26.427 -27.088 -27.805 -28.589 -29.453 -30.414 -31.497 -32.738 -34.189 -35.936 -38.13 -41.079 -45.59 -55.548 -72.582 -54.326 -45.163 -40.798 " & ' " |S12| (dB) -0.022545 -0.020437 -0.018429 -0.01652 -0.014712 -0.013006 -0.011401 -0.0098986 -0.0084997 -0.007204 -0.0060144 -0.0049294 -0.0039505 -0.003078 -0.002313 -0.0016561 -0.001107 -0.000668 -0.000339 -0.000120 0 0 0 -0.000132 -0.000361 PORTG P=2 GM=0.6559 GA=308.3 Deg H & ). |S21| (dB) -0.022545 -0.020437 -0.018429 -0.01652 -0.014712 -0.013006 -0.011401 -0.00989 -0.00849 -0.00720 -0.00601 -0.00492 -0.003950 -0.00307 -0.00231 -0.00165 -0.0011 -0.00066 -0.00033 -0.00012 0 0 0 -0.000132 -0.000361 9 & |S22| (dB) -22.859 -23.284 -23.732 -24.206 -24.708 -25.243 -25.814 -26.427 -27.088 -27.805 -28.589 -29.453 -30.414 -31.497 -32.738 -34.189 -35.936 -38.13 -41.079 -45.59 -55.548 -72.583 -54.326 -45.163 -40.798 f (GHz) 1.424 1.425 1.426 1.427 1.428 1.429 1.43 1.431 1.432 1.433 1.434 1.435 1.436 1.437 1.438 1.439 1.44 1.441 |S11| (dB) -37.902 -35.731 -33.993 -32.543 -31.3 -30.21 -29.241 -28.368 -27.574 -26.846 -26.173 -25.548 -24.964 -24.416 -23.9 -23.413 -22.951 -22.512 $ & 1 +& $& 4 # ( 8 4 + 1 + 2&+2 +" 11 2 # V1& ! $ |S12| (dB) -0.000704 -0.001161 -0.001732 -0.002419 -0.003221 -0.004139 -0.005175 -0.006328 -0.007599 -0.008988 -0.010496 -0.012124 -0.013871 -0.015739 -0.017727 -0.019837 -0.022069 -0.024423 " |S21| (dB) -0.000704 -0.001161 -0.001732 -0.002419 -0.003221 -0.004139 -0.005175 -0.006328 -0.007599 -0.008988 -0.010496 -0.012124 -0.013871 -0.015739 -0.017727 -0.019837 -0.022069 -0.024423 " & |S22| (d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Ω ) ,, = 7= 9 = 7 $ + #&2 +& +4 & $# 10% &% @gA , , 79 % . 1 + &24 # %& + % 1%$1 # + %<$ @22A "6 = ,,9 7 976 " " & $# @22A 96 7 ==9 === & M) G RES ID=R1 R=50 Ohm w4a=4.654 w3a=1.996 w2a=0.3182 MLIN ID=TL2 W=w2a mm L=26.53 mm MSUB=RT6006 CAP ID=C2 C=1e4 pF CAP ID=C1 C=100 pF PORT P=1 Z=50 Ohm MLIN ID=TL1 W=w3a mm L=24.88 mm MSUB=RT6006 2 3 1 MSUB Er=6.15 H=1.27 mm T=0.035 mm Rho=1 Tand=0.0027 ErNom=3.38 Name=RT6006 ! $ 4 MLEF ID=TL4 W=w4a mm L=11.89 mm MSUB=RT6006 MCROSS ID=TL3 W1=w3a mm W2=w2a mm W3=w3a mm W4=w4a mm " " !& 1 &241 2 2 + +4 %&F&% # + 5 1 +&2$1 2 + f (GHz) 1.4 1.401 1.402 1.403 1.404 1.405 1.406 1.407 1.408 1.409 PORTG P=2 GM=0.6559 GA=308.3 Deg 4 & ( . % 2 + 1 + +& $& |S11| (dB) -22.465 -22.243 -22.011 -21.771 -21.525 -21.275 -21.021 -20.766 -20.51 -20.254 |S12| (dB) -0.14391 -0.14546 -0.14715 -0.14897 -0.15092 -0.153 -0.15522 -0.15757 -0.16006 -0.16269 ; " 1? + +* 1 1 + # " 1 + #&2 +& + |S21| (dB) -0.14391 -0.14546 -0.14715 -0.14897 -0.15092 -0.153 -0.15522 -0.15757 -0.16006 -0.16269 |S22| (dB) -25.189 -24.784 -24.378 -23.974 -23.574 -23.18 -22.794 -22.417 -22.048 -21.688 + &( f (GHz) 1.41 1.411 1.412 1.413 1.414 1.415 1.416 1.417 1.418 1.419 1.42 1.4204 1.421 1.422 1.423 1.424 1.425 1.426 1.427 1.428 1.429 1.43 1.431 1.432 1.433 1.434 1.435 1.436 1.437 1.438 1.439 1.44 1.441 $ $ & |S11| (dB) -19.999 -19.746 -19.495 -19.246 -19 -18.757 -18.518 -18.282 -18.049 -17.821 -17.596 -17.507 -17.374 -17.157 -16.943 -16.733 -16.527 -16.324 -16.125 -15.929 -15.737 -15.548 -15.362 -15.18 -15.001 -14.825 -14.652 -14.482 -14.315 -14.15 -13.989 -13.83 -13.674 " |S12| (dB) -0.16545 -0.16835 -0.17138 -0.17456 -0.17787 -0.18132 -0.18491 -0.18864 -0.19251 -0.19652 -0.20067 -0.20237 -0.20496 -0.20939 -0.21397 -0.21869 -0.22355 -0.22855 -0.2337 -0.23898 -0.24442 -0.24999 -0.25571 -0.26158 -0.26759 -0.27374 -0.28004 -0.28648 -0.29307 -0.2998 -0.30667 -0.3137 -0.32087 " & |S21| (dB) -0.16545 -0.16835 -0.17138 -0.17456 -0.17787 -0.18132 -0.18491 -0.18864 -0.19251 -0.19652 -0.20067 -0.20237 -0.20496 -0.20939 -0.21397 -0.21869 -0.22355 -0.22855 -0.2337 -0.23898 -0.24442 -0.24999 -0.25571 -0.26158 -0.26759 -0.27374 -0.28004 -0.28648 -0.29307 -0.2998 -0.30667 -0.3137 -0.32087 . |S22| (dB) -21.338 -20.997 -20.665 -20.342 -20.028 -19.723 -19.426 -19.136 -18.855 -18.581 -18.314 -18.209 -18.054 -17.8 -17.553 -17.312 -17.077 -16.847 -16.622 -16.403 -16.189 -15.98 -15.775 -15.574 -15.378 -15.186 -14.998 -14.814 -14.634 -14.457 -14.283 -14.113 -13.946 " " 2 + 4$ # (+ * 1 &241 2 1 % 1? + 1 + + 4& # 2$%< # 4 %&' 4 1 + 4 % # 4 &2&> 1 # 2 #& + FC " + 2 : + # 1 + 1? + + 1 + * & (1 + 4 &2&> 5 1 () &* # 1 4 &2&> %&' + 8 % + $& $ # 4 %&' # 2 + 6 # 1 + 7 "7 -D> 1 # 5 1 + 1&# # 1 # # # 4 %&' " +4$0+ # 1 4 &2&> %&' + ( & 1 +& $& +M$ 28 &% = RES ID=R1 R=50 Ohm MLIN ID=TL2 W=w2a mm L=26.79 mm MSUB=RT6006 CAP ID=C2 C=1e4 pF w2a=0.3769 w3a=0.429 w4a=1.976 CAP PORT ID=C1 P=1 C=100 pF Z=50 Ohm MLIN ID=TL1 W=w3a mm L=18.23 mm MSUB=RT6006 2 3 1 MSUB Er=6.15 H=1.27 mm T=0.035 mm Rho=1 Tand=0.0027 ErNom=3.38 Name=RT6006 ! $ 7 MLEF ID=TL4 W=w4a mm L=12.08 mm MSUB=RT6006 MCROSS ID=TL3 W1=w3a mm W2=w2a mm W3=w3a mm W4=w4a mm " " & . "# 2 + 4$ # 4 %& 1 + $ * + #&2 +& ? # +2&+&' 1 &24 # %& λS7 λ S= $ ,% " f (GHz) 1.4 1.401 1.402 " %<$ 4 &2&> %&' + @22A & $# @22A "6; , "7 , ",; . " H + # +4$0+ # 1 ;, 7 =" 6 " = . 14 + 1? + # +2&+&' 1 + < 5 M$ < # F ( &% + + 1? + &24$ + + 4 1 + & + 4$ # + 2 $ 1 %&' 1 %< 4 %&+&' # 1 2 M$& # * %& # # 41 % 1 1 + M$ $2 2$%< 1 2 : # 1 #&+ : F& +4$0+ # 1 M$ 1 4 + 40 #&# + 4 PORTG P=2 GM=0.6559 GA=308.3 Deg 4 "# " H %$ 1 $ + 1&2& %& + F?+&% + 1 $2 + 5 2 & 1 + # F ( &% %&' % 2 5 1 1 $ # 1 + 1? + %$ %< # 1 + 1? + *& 1? + # 2 +& # 1" 4 &2&> %&' 1 + 4 82 + ! + 2$ + 1 (1 6" G 9 1 M$ + 4 %& 1? + 1 + < #&+2& $&# 1 # 4 %&' 5 + < & #$%&# $ + 4 % + 4 + # + 1 # 4 %&' +& $ +& # ($ @28+ # 7 # A |S11| (dB) -28.673 -29.078 -29.503 |S12| (dB) -0.10084 -0.10045 -0.10008 |S21| (dB) -0.10084 -0.10045 -0.10008 , |S22| (dB) -28.544 -28.945 -29.365 Fn (dB) 0.094764 0.094905 0.095047 f (GHz) 1.403 1.404 1.405 1.406 1.407 1.408 1.409 1.41 1.411 1.412 1.413 1.414 1.415 1.416 1.417 1.418 1.419 1.42 1.4204 1.421 1.422 1.423 1.424 1.425 1.426 1.427 1.428 1.429 1.43 1.431 1.432 1.433 1.434 1.435 1.436 1.437 1.438 1.439 1.44 1.441 $ 9484@ / |S11| (dB) -29.949 -30.418 -30.912 -31.434 -31.987 -32.573 -33.196 -33.859 -34.565 -35.318 -36.117 -36.962 -37.844 -38.742 -39.616 -40.398 -40.988 -41.279 -41.294 -41.203 -40.776 -40.087 -39.245 -38.339 -37.427 -36.54 -35.695 -34.895 -34.143 -33.436 -32.771 -32.145 -31.555 -30.997 -30.468 -29.967 -29.49 -29.035 -28.601 -28.186 & |S12| (dB) -0.099734 -0.099416 -0.099125 -0.098859 -0.09862 -0.098407 -0.098221 -0.098061 -0.097929 -0.097823 -0.097745 -0.097694 -0.097671 -0.097675 -0.097707 -0.097768 -0.097856 -0.097973 -0.098028 -0.098119 -0.098293 -0.098496 -0.098728 -0.09899 -0.09928 -0.099601 -0.099951 -0.10033 -0.10074 -0.10118 -0.10165 -0.10215 -0.10268 -0.10325 -0.10384 -0.10446 -0.10512 -0.10581 -0.10653 -0.10728 " . " |S21| (dB) -0.099734 -0.099416 -0.099125 -0.098859 -0.09862 -0.098407 -0.098221 -0.098061 -0.097929 -0.097823 -0.097745 -0.097694 -0.097671 -0.097675 -0.097707 -0.097768 -0.097856 -0.097973 -0.098028 -0.098119 -0.098293 -0.098496 -0.098728 -0.09899 -0.09928 -0.099601 -0.099951 -0.10033 -0.10074 -0.10118 -0.10165 -0.10215 -0.10268 -0.10325 -0.10384 -0.10446 -0.10512 -0.10581 -0.10653 -0.10728 & " " &'- !'" ' 0 !' ! 0 Fn (dB) 0.09519 0.095332 0.095475 0.095619 0.095762 0.095906 0.09605 0.096195 0.09634 0.096485 0.096631 0.096776 0.096923 0.097069 0.097216 0.097363 0.09751 0.097658 0.097717 0.097806 0.097955 0.098103 0.098252 0.098402 0.098552 0.098702 0.098852 0.099003 0.099154 0.099305 0.099457 0.099609 0.099761 0.099914 0.10007 0.10022 0.10037 0.10053 0.10068 0.10084 " H #$ !'& "! 1 4 % + # #&+ : # + 4 # + 1&# + 2$5 +&2&1 % + + ($+% # 4 1 &24 # %& # % # 1 + $ # &24 # %& # 1 + % % +" 1 +M$ 2 + ? 1 +& $& ; |S22| (dB) -29.806 -30.269 -30.757 -31.273 -31.819 -32.398 -33.013 -33.669 -34.368 -35.113 -35.908 -36.751 -37.638 -38.552 -39.461 -40.304 -40.987 -41.391 -41.453 -41.427 -41.083 -40.436 -39.603 -38.685 -37.752 -36.84 -35.97 -35.147 -34.374 -33.648 -32.967 -32.326 -31.723 -31.153 -30.614 -30.103 -29.618 -29.156 -28.715 -28.293 1# 1 4 # 4 # 1 241&F&% # # + 1 +9 x# ρ 8 6= ρ ! $ < " 6 " 1 & $ 1 M$ 1 % + # 1 #&+ : # 1 # + 1&# + $ &1&> 8 $ # % 24$ &24 # %& % % ?+ &% O& * + $&# 1 & $# λ S = &24 # %& O+ $( % % 6T1 & " " # # # 4 %&' 1 # 4 + # $ 1? # +2&+&' # $ 1? # +2&+&' # 4 1 1 " 1 +M$ 2 + 1 +& '!!' ! 0 1 # # # 4 %&' # 1 & $# λ S 7 %& %$& (& # $& #$ 6 0 8 L9>1:9 9 Ω 6 6 ! Z 8 $ >8 = " & 2 1% + & + # 8 M$ ( 1 + * 1 + # 1 + &24 # %& + # O& * 5 O+ $( 4 1 ( 4 + & 2 +$+ #&2 +& + F?+&% +" M$ 1 # + + 1 2&+2 1 +$1 # + 4 # 8 ( $+ # 1 + %$ %& + +& $& + 8 : ,*4 ! (& # M$ & &# # 8 = 1* 1 +ρ −ρ = ; 8 1 % F&%& + = 8 = 8 a8 8 ,*4 = # ρ 8 8 ; F1 H&' ≡ρ ,*4 < %& % = "= = "; 7 h ) "=79 5 # +4 ) # # 1 + &24 # %& + # 1 + 1? + ; = 9 a8 = 8 a8 2( + 1? + 11 ' &% @6" G ;A ,*4 = 9 a8 ,*4 @6" G =A # 1 + $ # 4 % 1%$1 # % =∠6 "= 7, 4 # 2 + ( 1 + %$ %& + 6" G ; 5 6" G = ( 2 + 8 8 =9 a ,*4 "; 7 = 7 ", 9 Ω =9 a !& &241 2 "; 7 = "=79 2 +1 "676=Ω # PORTG P=2 GM=0.8628 GA=323.1 Deg ! 1 +&2$1 (1 + (& f (GHz) 1.4 1.401 1.402 1.403 1.404 1.405 1.406 1.407 1.408 1.409 1.41 1.411 1.412 1.413 1.414 1.415 1.416 1.417 1.418 1.419 1.42 1.4204 1.421 1.422 1.423 1.424 1.425 1.426 1.427 1.428 $ $ TLIN ID=TL1 Z0=41.91 Ohm EL=90 Deg F0=1.42 GHz $? 2$5 ($ |S11| (dB) -13.551 -13.961 -14.395 -14.855 -15.345 -15.868 -16.428 -17.031 -17.683 -18.393 -19.17 -20.028 -20.985 -22.067 -23.309 -24.764 -26.52 -28.733 -31.719 -36.323 -46.8 -70.869 -44.223 -35.449 -31.17 -28.314 -26.167 -24.446 -23.011 -21.78 PORT P=1 Z=50 Ohm TLOC ID=TL2 Z0=12.34 Ohm EL=45 Deg F0=1.42 GHz " # 4 %&' " & 241 # |S12| (dB) -0.19607 -0.17804 -0.1608 -0.14436 -0.12873 -0.11394 -0.099991 -0.0869 -0.074679 -0.063342 -0.052901 -0.043367 -0.034752 -0.027066 -0.020321 -0.014525 -0.0096881 -0.0058185 -0.0029243 -0.0010128 0 0 0 -0.0012386 -0.0033187 -0.0064085 -0.010511 -0.01563 -0.021766 -0.02892 ; + #% 2 + * |S21| (dB) -0.19607 -0.17804 -0.1608 -0.14436 -0.12873 -0.11394 -0.099991 -0.0869 -0.074679 -0.063342 -0.052901 -0.043367 -0.034752 -0.027066 -0.020321 -0.014525 -0.0096881 -0.0058185 -0.0029243 -0.0010128 0 0 0 -0.0012386 -0.0033187 -0.0064085 -0.010511 -0.01563 -0.021766 -0.02892 |S22| (dB) -13.551 -13.961 -14.395 -14.855 -15.345 -15.868 -16.428 -17.031 -17.683 -18.393 -19.17 -20.028 -20.985 -22.067 -23.309 -24.764 -26.52 -28.733 -31.719 -36.323 -46.8 -70.869 -44.223 -35.449 -31.17 -28.314 -26.167 -24.446 -23.011 -21.78 1 +& $& f (GHz) 1.429 1.43 1.431 1.432 1.433 1.434 1.435 1.436 1.437 1.438 1.439 1.44 1.441 $ |S11| (dB) -20.703 -19.746 -18.886 -18.104 -17.389 -16.729 -16.118 -15.549 -15.017 -14.518 -14.047 -13.603 -13.183 4 & " |S12| (dB) -0.037094 -0.046287 -0.056499 -0.067726 -0.079967 -0.09322 -0.10748 -0.12274 -0.139 -0.15625 -0.17449 -0.1937 -0.21388 " |S21| (dB) -0.037094 -0.046287 -0.056499 -0.067726 -0.079967 -0.09322 -0.10748 -0.12274 -0.139 -0.15625 -0.17449 -0.1937 -0.21388 & |S22| (dB) -20.703 -19.746 -18.886 -18.104 -17.389 -16.729 -16.118 -15.549 -15.017 -14.518 -14.047 -13.603 -13.183 . " " + +& $& + 4 + + + 1 + 2&+2 + M$ 1% + & & #$%& 1 # # 4 1 &> %&' 5 1 % # + # # # + % 41 5 4 &2&> 1 #&+ : 4 M$ +$ & %1$+&' F % 1 2 + 4 +&(1 1 # 4 %&' 1 # # 1 241&F&% # " $ + &241 2 8 1 #&+ : % 1? + 1 + 5 + 4 &2&> 8 + * >1 + %< + 5 1 + 1 & $# + # 1 + 2&+2 +" 1 F& 1 + M$ # 8 1 # # 1 B& $ 6" G6 " C=1e4 pF RES ID=R1 CAPR= 1 Ohm ID= C2 C=1e4 pF PORTG P=1 GM=0.8625 GA=323.1 Deg MCROSS ID= TL1 W1= w1b mm W2= 0.006814 mm W3= w1b mm W4= w4b mm MSUB= RT6006 1 w1b=0.4046 w4b=4.77 $ " + $ * + #&2 +& ? CAP ID=C3 C=100 pF 3 1 MLIN ID=TL2 W=w1b mm L=20.63 mm MSUB=RT6006 $ MLIN ID= TL4 W=0.3384 mm L= 26.08 mm MSUB= RT6006 2 8 ! Ω R " PORT P= 2 Z=50 Ohm 4 MLEF ID= TL3 W=w4b mm L=12.61 mm MSUB=RT6006 9 & . + # +4$0+ # 1 4 &2&> %&' + # +2&+&' 1 &24 # %& @ A λS7 @ A %<$ @22A "6 ",9 , ;6 " & $# @22A =" 6 "99 " ? # +2&+&' λ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f (GHz) 1.4 1.401 1.402 1.403 1.404 1.405 1.406 1.407 1.408 1.409 1.41 1.411 1.412 1.413 1.414 1.415 1.416 1.417 1.418 1.419 1.42 1.4204 1.421 1.422 1.423 1.424 1.425 1.426 1.427 1.428 1.429 1.43 1.431 1.432 |S11| (dB) -17.547 -17.951 -18.375 -18.822 -19.294 -19.794 -20.324 -20.889 -21.492 -22.138 -22.832 -23.58 -24.389 -25.266 -26.216 -27.242 -28.335 -29.467 -30.566 -31.488 -32.024 -32.086 -31.999 -31.419 -30.464 -29.342 -28.191 -27.082 -26.041 -25.076 -24.184 -23.359 -22.595 -21.884 |S12| (dB) -0.29522 -0.28885 -0.2828 -0.27707 -0.27166 -0.26658 -0.26182 -0.2574 -0.25331 -0.24956 -0.24616 -0.2431 -0.2404 -0.23804 -0.23604 -0.2344 -0.23313 -0.23221 -0.23167 -0.23149 -0.23169 -0.23188 -0.23227 -0.23322 -0.23455 -0.23627 -0.23837 -0.24085 -0.24373 -0.247 -0.25066 -0.25471 -0.25916 -0.26401 |S21| (dB) -0.29522 -0.28885 -0.2828 -0.27707 -0.27166 -0.26658 -0.26182 -0.2574 -0.25331 -0.24956 -0.24616 -0.2431 -0.2404 -0.23804 -0.23604 -0.2344 -0.23313 -0.23221 -0.23167 -0.23149 -0.23169 -0.23188 -0.23227 -0.23322 -0.23455 -0.23627 -0.23837 -0.24085 -0.24373 -0.247 -0.25066 -0.25471 -0.25916 -0.26401 ;7 |S22| (dB) -17.559 -17.963 -18.387 -18.834 -19.306 -19.805 -20.336 -20.901 -21.504 -22.15 -22.844 -23.593 -24.403 -25.281 -26.233 -27.261 -28.359 -29.497 -30.605 -31.538 -32.086 -32.151 -32.067 -31.486 -30.526 -29.396 -28.239 -27.124 -26.079 -25.111 -24.216 -23.389 -22.623 -21.911 Fn (dB) 0.21836 0.21887 0.21938 0.21989 0.2204 0.22092 0.22144 0.22196 0.22248 0.22301 0.22354 0.22408 0.22461 0.22515 0.22569 0.22624 0.22679 0.22734 0.22789 0.22845 0.22901 0.22923 0.22957 0.23013 0.2307 0.23127 0.23185 0.23242 0.233 0.23359 0.23417 0.23476 0.23536 0.23595 f (GHz) 1.433 1.434 1.435 1.436 1.437 1.438 1.439 1.44 1.441 |S11| (dB) -21.222 -20.603 -20.021 -19.474 -18.957 -18.468 -18.004 -17.563 -17.142 $ 9484? |S12| (dB) -0.26926 -0.27491 -0.28096 -0.28741 -0.29426 -0.30152 -0.30919 -0.31726 -0.32574 < %0"5 & |S21| (dB) -0.26926 -0.27491 -0.28096 -0.28741 -0.29426 -0.30152 -0.30919 -0.31726 -0.32574 " " |S22| (dB) -21.248 -20.627 -20.045 -19.497 -18.979 -18.49 -18.025 -17.583 -17.162 & Fn (d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e4 pF CAP ID=C8 C=1e4 pF RES ID=R2 CAPR=15 Ohm ID=C4 C=1e4 pF RES ID=R3 CAPR=15 Ohm ID=C7 C=1e4 pF RES ID=R4 R=56 Ohm CAP ID=C9 C=1e4 pF MLIN ID=TL19 W=w2a mm L= 26.79 mm MSUB=RT6006 CAP ID=C2 C=1e4 pF MLIN W=1.831 mm PORT P=1 L=5 mm Z=50 OhmMSUB=RT6006 w2a=0.4 w3a=1.26 w4a=2.47 CAP ID=C1 C=100 pF 3 1 4 MCROSS ID=TL20 W1=w3a mm W2=w2a mm W3=w3a mm W4=w4a mm MSUB Er=6.15 H=1.27 mm T=0.035 mm Rho=1 Tand= 0.0027 ErNom=3.38 Name= RT6006 RES ID=Rk2 R=22 Ohm MLIN ID=TL18 W=w3a mm L=24.03 mm MSUB=RT6006 2 MLIN ID=TL6 W=w2 mm L= 32.48 mm MSUB=RT6006 MCROSS ID=TL10 W1= w5 mm W2= w6 mm W3= w5 mm W4= w4 mm CAP MSUB= RT6006 ID=C6 C=100 pF 2 3 1 MLIN ID=TL8 W=w6 mm L=22.33 mm MSUB=RT6006 SUBCKT ID=ATF 2 NET="f351432b" w1=2.318 w2=0.3537 w3=1.304 we=1.104 Le=9.883 4 MLEF ID=TL11 W =w3 mm L=11.6 mm MSUB=RT6006 3 2 2 3 4 MLEF ID=TL13 W =w4 mm L=14.79 mm MSUB=RT6006 RES ID=Rs2 R=47 Ohm RES ID=Rs4 R=47 Ohm ! SUBCKT ID=ATF 1 NET="f351432b" 1 $ MLIN ID=TL7 W=w5 mm L=14.85 mm MSUB=RT6006 MLIN ID=TL1 W=wf mm L= Lf mm MSUB=RT6006 3 wf=1.221 Lf=5.371 MLIN ID=TL2 W=w1b mm L= 20.61 mm MSUB=RT6006 W =1.831 mm L=5 mm MSUB=RT6006 3 PORT P=2 Z=50 Ohm 4 MLEF ID=TL3 W=w4b mm L=10.14 mm MSUB=RT6006 w1b=0.3996 w2b=0.3277 w4b=3.276 MLIN ID=TL12 W =wf mm L=Lf mm MSUB=RT6006 MLIN ID=TL17 W=we mm L=Le mm MSUB=RT6006 CAP ID=Cs4 C=33 pF CAP ID=Cs3 C=33 pF CAP ID=C5 C=100 pF 2 1 1 w4=5.112 w5=0.7918 w6=0.3161 MLIN RES ID=Rk1 R=22 Ohm 2 1 MLEF ID=TL21 W=w4a mm L= 11.46 mm MSUB=RT6006 MLIN ID=TL16 W =we mm L=Le mm MSUB=RT6006 MCROSS ID=TL9 W1=w1 mm W2=w2 mm MLIN W3=w1 mm ID=TL5 W4=w3 mm W=w1 mm MSUB= RT6006 L=24.12 mm MSUB=RT6006 MLIN ID=TL4 W=w2b mm L= 29.85 mm MSUB=RT6006 MCROSS ID=TL22 W1=w1b mm W2=w2b mm W3=w1b mm W4=w4b mm MSUB=RT6006 RES ID=R1 R=56 Ohm CAP ID=Cs1 C=33 pF CAP ID=Cs2 C=33 pF RES ID=Rs1 R=47 Ohm RES ID=Rs3 R=47 Ohm $ B " " 1 +& $& (1 + 2$ + 1 + +$1 # + + 1 + < % + $&# 2$5 ($ # 4 %&' 1 + 4$ 2 & 4 %&2 # 1 + 6 # 5 1 &* 1 # $&# 7 "7 -D>" ;9 " 4 &2&> %&' 1 + M$ + 4$ # * M$ +# # 5 # + 1&# 1 %& + +$4 1 + "7 # 1 F %$ %& # f (GHz) 1.4 1.401 1.402 1.403 1.404 1.405 1.406 1.407 1.408 1.409 1.41 1.411 1.412 1.413 1.414 1.415 1.416 1.417 1.418 1.419 1.42 1.4204 1.421 1.422 1.423 1.424 1.425 1.426 1.427 1.428 1.429 1.43 1.431 1.432 1.433 1.434 1.435 1.436 1.437 1.438 1.439 1.44 1.441 |S11| (dB) -15.442 -15.924 -16.43 -16.965 -17.529 -18.128 -18.765 -19.446 -20.176 -20.965 -21.822 -22.761 -23.8 -24.964 -26.288 -27.828 -29.669 -31.967 -35.042 -39.738 -50.282 -65.858 -47.634 -39.052 -34.876 -32.112 -30.055 -28.422 -27.075 -25.931 -24.941 -24.07 -23.296 -22.601 -21.972 -21.399 -20.874 -20.391 -19.944 -19.53 -19.145 -18.787 -18.451 |S12| (dB) 31.832 31.831 31.829 31.825 31.82 31.813 31.805 31.796 31.786 31.774 31.762 31.748 31.733 31.717 31.7 31.681 31.662 31.642 31.621 31.599 31.577 31.567 31.553 31.529 31.504 31.478 31.451 31.424 31.397 31.368 31.339 31.31 31.28 31.25 31.219 31.188 31.157 31.125 31.092 31.06 31.027 30.994 30.961 $ 9484; %0"'%'$ ? |S21| (dB) -15.028 -15.503 -16.003 -16.531 -17.088 -17.681 -18.312 -18.986 -19.712 -20.496 -21.349 -22.286 -23.324 -24.49 -25.821 -27.372 -29.236 -31.577 -34.739 -39.66 -51.455 -59.758 -45.591 -37.847 -33.856 -31.167 -29.145 -27.531 -26.192 -25.051 -24.059 -23.184 -22.403 -21.699 -21.06 -20.476 -19.939 -19.443 -18.984 -18.556 -18.156 -17.782 -17.431 & B " |S22| (dB) -40.291 -40.27 -40.25 -40.232 -40.215 -40.199 -40.185 -40.172 -40.161 -40.15 -40.141 -40.133 -40.126 -40.12 -40.115 -40.112 -40.109 -40.107 -40.106 -40.106 -40.107 -40.107 -40.109 -40.111 -40.114 -40.118 -40.123 -40.128 -40.134 -40.141 -40.148 -40.155 -40.163 -40.172 -40.181 -40.19 -40.2 -40.21 -40.221 -40.231 -40.243 -40.254 -40.265 Fn (dB) 0.61004 0.60839 0.60674 0.6051 0.60347 0.60184 0.60022 0.59861 0.597 0.5954 0.5938 0.59221 0.59063 0.58905 0.58748 0.58592 0.58436 0.58281 0.58126 0.57972 0.57819 0.57758 0.57667 0.57515 0.57364 0.57214 0.57064 0.56915 0.56767 0.56619 0.56473 0.56326 0.56181 0.56036 0.55892 0.55749 0.55607 0.55465 0.55324 0.55184 0.55044 0.54906 0.54768 " #$ )& +# 1 1&> %&' # 1 1 5 $ F& 1 + # ( %$ 1 $ + 1 2 + M$ 4 # ? & F1$& 1 +$1 # ( &# $ * > F ( &% # 1 %& %$& " + + 1 2 + * + 1 + % H& + 2 + *& < 1 + 5 1 + 2 + # 1? M$ + % +& 4 % % 1 + ; % 24 + +& M$ +& (& +$ 2 : + 2$5 4 M$ : @ 22 1 & $#A +& & F1$5 1 +4$ + F& 1 # 1 %& %$& 5 4 11 + 2 ) 1 + %$ 1 #&+ : 5 1 + 4 &2&> %& +" 1 #&+ : F& 1 % # % + + 1 2 + #&%& 1 + M$ # ? # 1 +& $& 2 VIA ID=V3 D=0.7 mm H=1.27 mm T=0.035 mm RHO=1 CAP ID= C3 C=1e4 pF CAP ID= C8 C=1e4 pF VIA ID=V8 D=0.7 mm H=1.27 mm T=0.035 mm RHO=1 MLIN ID=TL53 W=wr mm L=1 mm MSUB=RT6006 MLIN ID=TL38 W=wr mm L=1 mm MSUB=RT6006 VIA ID=V5 D=0.7 mm H=1.27 mm T=0.035 mm RHO=1 RES ID= R2 R=12 Ohm RES ID=R3 R=12 Ohm 3 MTEE$ ID=TL36 MSUB=RT6006 1 MLIN CAP ID=C1 C=100 pF MLIN ID= TL34 W= wr mm L=1 mm MSUB=RT6006 MLIN ID=TL35 W=wr mm L=1 mm MSUB=RT6006 MLIN ID= TL6 W= 0.34 mm L=26.79 mm MSUB=RT6006 MCROSS$ ID=TL7 MSUB=RT6006 w4a=2.324 w3a=1.872 MLIN ID= TL33 W= wr mm L=1 mm MSUB=RT6006 MLIN ID=TL5 W=w3a mm L=23.91 mm MSUB=RT6006 2 4 wr=1.25 MCROSS$ ID=TL18 CAP ID=C6 C=100 pF 2 3 1 MLEF ID=TL8 W=w4a mm L=13.6 mm MSUB=RT6006 MLIN ID=TL3 W=we mm L=Le mm MSUB=RT6006 w1=2.707 w2=0.3149 w3=3.46 SUBCKT ID= ATF 2 NET="f351432b" 1 3 we=1.255 4 MLIN ID= TL41 W= wr mm L=1 mm MSUB=RT6006 MLIN ID= TL54 W= wr mm L= 1 mm MSUB= RT6006 2 MLIN ID=TL46 W=wr mm L=1 mm MSUB=RT6006 MLEF ID= TL55 W= w4 mm L=11.77 mm MSUB=RT6006 1 2 MTEE$ ID= TL24 MTEE$ MSUB=RT6006 ID=TL25 MSUB=RT6006 2 1 MLIN ID= TL21 W= wr mm L=1 mm MSUB=RT6006 MLIN ID=TL23 W=wr mm L=1 mm MSUB=RT6006 MLIN ID= TL22 W= wr mm L= 1 mm MSUB= RT6006 VIA ID= V10 D=0.7 mm H=1.27 mm T= 0.035 mm RHO=1 ! $ VIA ID=V11 D=0.7 mm H=1.27 mm T=0.035 mm RHO=1 1 2 MTEE$ ID=TL30 MTEE$ MSUB=RT6006 ID= TL31 MSUB=RT6006 2 1 $$ B " MLIN ID=TL48 W=wr mm L=1 mm MLEFMSUB=RT6006 ID=TL11 W=w4b mm L=12.83 mm MSUB=RT6006 3 MLIN ID= TL29 W= wr mm L=1 mm MSUB=RT6006 RES ID= Rs1 R=47 Ohm CAP ID=Cs2 C=30 pF CAP ID= Cs1 C=30 pF VIA ID=V16 D=0.7 mm H=1.27 mm T=0.035 mm RHO=1 VIA ID=V12 D=0.7 mm H=1.27 mm T=0.035 mm RHO=1 4 MLIN ID= TL28 W= wr mm L=1 mm MSUB=RT6006 RES ID= Rs2 R=47 Ohm CAP ID= Cs4 C=30 pF CAP ID= Cs3 C=30 pF VIA ID=V9 D=0.7 mm H=1.27 mm T=0.035 mm RHO=1 !& & %1$&2 + 1 MSUB Er=6.15 H=1.27 mm T=0.035 mm Rho=1 Tand= 0.0027 ErNom=3.38 Name= RT6006 RES ID=Rs3 R=47 Ohm RES ID=Rs4 R=47 Ohm 11 5 $ + ? MLIN ID=TL27 W=wr mm L=1 mm MSUB=RT6006 " VIA ID=V13 D=0.7 mm H=1.27 mm T=0.035 mm RHO=1 VIA ID= V14 D=0.7 mm H=1.27 mm T=0.035 mm RHO=1 VIA ID= V15 D=0.7 mm H=1.27 mm T= 0.035 mm RHO= 1 1 E 1 +& $& ! $ +&+ 1 + $, ) +&+ B " " %& + 5 1 + % # + # ;; + W=1.831 mm L=10 mm MSUB=RT6006 3 MLIN ID=TL2 W=wf mm L=Lf mm MSUB=RT6006 Lf=3.15 MLIN ID=TL26 W=wr mm L=1 mm MSUB=RT6006 3 w1b=1.943 w4b=3.566 wf=2.105 MLIN ID= TL1 W= wf mm L=Lf mm MSUB=RT6006 3 3 MLIN ID=TL20 W=wr mm L=1 mm MSUB=RT6006 3 MLIN CAP ID= C5 C=100 pF 2 MLIN ID= TL10 W= w1b mm L=25.77 mm MSUB=RT6006 SUBCKT ID=ATF 1 NET="f351432b" 1 MLIN ID=TL15 W=w5 mm L=17.27 mm MSUB=RT6006 MLIN ID= TL4 W= we mm L=Le mm MSUB=RT6006 Le=5.476 RES ID=Rk1 R=24 Ohm MLIN ID= TL12 W= 0.3384 mm L=26.08 mm MSUB=RT6006 2 3 4 MCROSS$ ID= TL17 MSUB= RT6006 1 w4=3.479 w5=2.939 w6=0.3279 1 MLIN ID= TL45 W= wr mm L=1 mm MLEFMSUB=RT6006 ID=TL19 W=w3 mm L=12.39 mm MSUB=RT6006 1 MTEE$ ID= TL50 MSUB=RT6006 2 3 MLIN ID= TL16 W= w6 mm L=22.96 mm MSUB=RT6006 MCROSS$ ID=TL9 MSUB=RT6006 RES ID= Rk2 R=24 Ohm 3 MLIN ID=TL52 W=wr mm L=1 mm MSUB=RT6006 2 3 1 MTEE$ ID=TL40 MSUB=RT6006 1 MLIN ID=TL14 W=w2 mm L=19.91 mm MSUB=RT6006 MLIN ID= TL13 W= w1 mm L= 19.96 mm MSUB= RT6006 MLIN ID=TL47 W=wr mm L=1 mm MSUB=RT6006 CAP ID=C4 C=1e4 pF 2 2 3 CAP ID=C2 C=1000 pF 1 MTEE$ ID=TL39 MSUB=RT6006 MLIN ID= TL43 W= wr mm L= 1 mm MSUB= RT6006 2 VIA ID=V6 D=0.7 mm H=1.27 mm T=0.035 mm RHO=1 MLIN ID=TL42 W=wr mm L=1 mm MSUB=RT6006 CAP ID= C9 C=1e4 pF CAP ID= C7 C=1e4 pF VIA ID=V2 D=0.7 mm H=1.27 mm T=0.035 mm RHO=1 W= 1.831 mm PORT L= 10 mm P=1 MSUB= RT6006 Z=50 Ohm VIA ID=V4 D=0.7 mm H=1.27MLIN mm T=0.035 mm ID= TL44 RHO=1 W= wr mm L= 1 mm MSUB= RT6006 VIA ID= V1 D=0.7 mm H=1.27 mm T= 0.035 mm RHO=1 RES ID=R1 R=50 Ohm VIA ID=V7 D=0.7 mm H=1.27MLIN mm T=0.035 mm ID=TL51 RHO=1 W=wr mm L=1 mm MSUB=RT6006 RES ID=R4 R=50 Ohm & 1 *&+ # 1 1 5 $ PORT P= 2 Z= 50 Ohm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z -65.86 dB -80 1.4 ! $ 1.41 ,, J ' 1.42 Frequency (GHz) " ,, @EH = 1.43 " *B " & 1.44 1.441 &+ , %0"5 20 ! 8 0 & 0 -20 -40 DB(|S[1,1]|) * Amplificador Final Opt Layout Opt V2 -60 0.3 ! $ 1.3 Frequency (GHz) ,/ $ ,4 J ' " $ @EH %0"5 -10 2.3 3 " *B " &+ ?$ & ! 8 0 & 88 -20 -30 -40 -50 1.4204 GHz -59.76 dB -60 1.4 ! $ 1.41 ,7 J ' 1.42 Frequency (GHz) " ,, @EH =6 1.43 " *B " & 1.44 1.441 &+ , %0"5 0 ! 8 0 & -10 -20 -30 -40 -50 DB(|S[2,2]|) * Amplificador Final Opt Layout Opt V2 -60 0.3 ! $ 1.3 Frequency (GHz) ,< J ' " 2.3 " *B " 3 &+ ?$ $ @EH & %0"5 -39.8 ! 8 0 & 18 -40 -40.2 -40.4 -40.6 1.4 ! $ ,> J ' 1.41 1.42 Frequency (GHz) " " & =7 1.43 1.44 1.441 , ,, @EH %0"5 0 ! 8 0 & -50 -100 -150 DB(|S[1,2]|) * Amplificador Final Opt Layout Opt V2 -200 0.3 ! $ 1.3 Frequency (GHz) /?J ' " 2.3 3 " ?$ $ @EH & %0"5 32 ! 8 31.8 0 & 81 1.4204 GHz 31.567 dB 31.6 31.4 31.2 31 30.8 1.4 ! $ 1.41 / J ' 1.42 Frequency (GHz) " ,, @EH =9 1.43 " *@ & 1.44 1.441 + , %0"5 50 ! 8 0 & 81 0 1.4204 GHz 31.567 dB -50 -100 -150 0.3 ! $ 1.3 Frequency (GHz) / J ' " 2.3 " *@ 3 + ?$ $ @EH & $2 $&# 2 1 1F % # # " # A" $&# 4 M$ + < 2 ) %0"5 0.62 ! 8 # $ 4 % 1 0 & !' %& @F % # ! 0.6 1.4204 GHz 0.57758 dB 0.58 0.56 0.54 1.4 ! $ 1.41 /$ ! 1.42 Frequency (GHz) " " 1.43 " & = 1.44 1.441 , ,, @EH %0"5 100 ! 8 0 & !' ! 80 60 40 20 0 0.3 1.3 2.3 3 Frequency (GHz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o - #&# + # o - #&# + # 1 + 4 82 o - #&# + # 1 F % 94841=41 +& +5% # '! ! & !' () &* + # 1 #&+ : + 2 #&# + & 5 + + # 4 1 &> %&' # 1 (& +&+ 1 + * 1 + # " + ! # 1 %& %$& $&# " * #$ 2 $& % !'" $& & + 4$ ( # 2& +& 1 + +&+ + +8 % % 2 4 1 &> # + 5 F$ %& # " !& + %$ # % 1 # # 4 1 &> %&' # 1 +&+ #&+ : # + 4 #? % + $& 1 4$ # 4 1 &> %&' 2 % 1 M$ + % + $? M$ 1 +&+ ( ) 1 !R ! R 0 &2 # + # " # #&+ : # 1 +& $& =; Vdd RES ID=Rd RES ID=Rg 2 1 ATF 35143 3 RES ID=Rs ! 1 * 1 ) 41&% # # + # #+R 2 + $ %&' #++" +& $& H4 +&' ( =( @ −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o 82 +!4 1 ( # # F %$ %& + # 7 o 82 +!4 1 ( # # F %$ %& + # "6 6 JD>" o 82 +!4 #&F 1 ( # # F %$ %& + # 1 F %$ %& % &># #&+4 +&' ( + 4 1 &> %& + 77 -D>" 1 # 7 7 -D> 5 4 1 &> # 1 %& %$& &# % 1 1&> # # # + M$ # ? =− 4 = 4 = −6,"9 4 =− =, 4 % $ "6 6 JD>" ##R " 1 94841=4841 !0 #$ " '$ ! Q 11Q Parametro S11 5 0 dB -5 -10 -15 -20 -25 ! $ 0 500 /7 1000 " ' 1500 frecuency (KHz) " 2000 2500 " 3000 " ?$ $ @EH Parametro S11 -5 -5.5 dB -6 -6.5 -7 -7.5 1400 ! $ /< 1405 1410 " ' 1415 1420 1425 frecuency (KHz) " " ,, @EH , 1430 1435 1440 " 1445 , 94841=4848 !0 #$ " & "! Q 88Q Parametro S22 2 0 -2 dB -4 -6 -8 -10 -12 ! $ 0 500 /> 1000 " ' 1500 frecuency (KHz) " 2000 2500 " 3000 " ?$ $ @EH Parametro S22 -5.8 -5.85 dB -5.9 -5.95 -6 -6.05 -6.1 1400 ! $ 4? 1405 1410 " ' 1415 1420 1425 frecuency (KHz) " " ,, @EH , 1430 1435 1440 " 1445 , 94841=4849 J%' Q 18Q Parametro S12 -30 -40 -50 dB -60 -70 -80 -90 -100 ! $ 0 500 4 1000 " ' 1500 frecuency (KHz) " 2000 2500 " 3000 " ?$ $ @EH Parametro S12 -38.5 -39 -39.5 dB -40 -40.5 -41 -41.5 -42 1400 ! $ 4 1405 1410 " ' 1415 1420 1425 frecuency (KHz) " " ,, @EH , 1430 1435 1440 " 1445 , 94841=484: J%' Q 81 Q A $ $ !'" %0"5 ! DQ Parametro S21 20 0 -20 dB -40 -60 -80 -100 ! $ 0 500 4$ 1000 " ' 1500 frecuency (KHz) " 2000 2500 " 3000 " ?$ $ @EH Parametro S21 11.75 11.7 dB 11.65 11.6 11.55 11.5 1400 ! $ 4, 1405 1410 " ' 1415 1420 1425 frecuency (KHz) " " ,, @EH ,6 1430 1435 1440 " 1445 , 94841=49 %0 , 1 (1 6" G 7 + 4$ # 4 82 + ! # 1 %& %$& ( 2 #&%& +" 4 %& &# + J%' L! L L! L L! L L! L $ - %1 2 1 + #&F %& + H&+ + 1 + + 1 + +&2$1 %& + 5 1 + ( &# + + 1 + % " #$ A! D G 9"= G7 " 6 "9 ; G9,"; " " ' J 8F&% 2 54 +& $& + F& $ + $ +4 % ' "A! D G G6,"9 G & , ?, EH 28+ 241& 1 & " M$ # ? F1 ) # Comparativa S11 10 Simulacion Real 0 -10 dB -20 -30 -40 -50 -60 0 ! 500 $ 4/ - 1000 " 1500 frecuency (KHz) " ' 2000 2500 * ,7 3000 A+ 1 + Comparativa S22 10 Simulacion Real 0 -10 dB -20 -30 -40 -50 -60 0 ! 500 $ 44 - 1000 " 1500 frecuency (KHz) 2000 " ' 2500 * 3000 A+ Comparativa S21 60 Simulacion Real 40 20 0 dB -20 -40 -60 -80 -100 -120 0 ! 500 $ 47 - 1000 " 1500 frecuency (KHz) " ' 2000 2500 * ,9 3000 A+ Comparativa S12 -20 Simulacion Real -40 -60 dB -80 -100 -120 -140 -160 -180 0 ! 500 $ 4< - 1000 " 1500 frecuency (KHz) 2000 2500 " ' 3000 * A+ Comparativa S11 0 Simulacion Real -10 -20 dB -30 -40 -50 -60 -70 1400 ! 1405 $ 4> - 1410 " 1415 1420 1425 frecuency (KHz) " ' 1430 1435 * , 1440 1445 A+ Comparativa S22 0 Simulacion Real -10 dB -20 -30 -40 -50 -60 1400 ! 1405 $ 7?- 1410 " 1415 1420 1425 frecuency (KHz) 1430 " ' 1435 1440 * 1445 A+ Comparativa S21 35 Simulacion Real 30 dB 25 20 15 10 1400 ! 1405 $ 7 - 1410 " 1415 1420 1425 frecuency (KHz) " ' 1430 1435 * ,; 1440 1445 A+ Comparativa S12 -38.5 Simulacion Real -39 -39.5 dB -40 -40.5 -41 -41.5 -42 1400 ! 948411 D 67 " " 1405 $ 7 - '! ! !'"5 1410 " 1415 1420 1425 frecuency (KHz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h[ [h[ g # 1 M$ * 2 + 12 % 1 + # + @ G7A[" % Z $ [h[ E2 Z &# (1 $ # # [h[ g 2 2 & @ G7A[" + %& $ &# &F&% # # + & # 1 F$ # [h[ [h[ g # (1 &F&% %&' M$ # + 2 + & 2 2 & $ (1 $ # # @4 $&# # 1 M$ + ( & [h[9"9[h[! B #$%& [h[ [" 4$1+ 2 + + ( ) 241 1 F& 1 # 1 1 + # +A 4$1+ 2 + [h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− 9,"; 1 +* 1 + 2 #&# + $ + ( &# + 7 -D> 1 +&2$1 %&' 4 1 241&F&% # 4 5 B R 9; # * >F ( &% # = − "= ; 4 = − "7 4 = =" ;6 4 = −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o "9 # + 1 ( # # 4 + " + # # 4 + F R 7 9 -D> F R 76 -D> F R 7 o &> # o -D>F(R 77 -D> 1 ( # # 4 + $ %&' o # o 1 ( # # 1 F&1 4R "9 # 28H&2 $ # ^ # w # +# +&%&' 9 -D> A! D 0 5 51 1 4 % #&2& 1 # #&+ : # 1 F&1 " ( 1 F&1 4 + ( ) " ( 1 # 1 F&1 6" +< % 1 # 5 58 4 + ( # + 8 M$&* 1 4 5 1 + % F&%& +F 2 %&' & &%& 1" + 6 & # 1 + +4 %&F&% %& +" ( 1 +% + 2 1&> F %$ %& " +# # + + # & * +&' &) 7" ( 1 + &24 # %& + 4 &24 # %& % % ?+ &% 9" ( 1? 1 + 4 82 1 % 24 4 &2&> + F?+&% + # % # 1? 2& & 1E = − = I ! 1 & # & $# 5 + 4 11 + 1 %&' 1 #&+ : 4 1 1 + () &* + # + # +" + '$ #$ !'"5 " 0 & + 3 '. , "'$ ' + 4$ # ( 1 F&1 2 #& 1 + +& $& + 4 + ( ) +F 2 %& 2 1&> # + = 7 "7 )$ ∆= = %< 4 # 1 F&1 4 & # 1 + +4 %&F&% %& + # 1 F&1 F %$ %& F 5 &24 # %& O M$&* 1 I % 41 # 5 5 $ =" 94948 # % # 1? + " !&2$1 ;" &24 = =Y − ∆ ! ∆ =− 6 ; − =− 6 = ! 1 B& $ 6"6G + 4$ # * 1 + +4 %&F&% %& B& $ 6"6G + 4$ # (+ * 1 + +4 %&F&% %& + # 1 F&1 + # 1 F&1 4 +# 1 +F 2 %&' 5 &4 4 + ( ) ( &# 1 A! D 0 0 5 ! $$ 51 ' 5 NT1 5 58 & " ! $$ ' " 94949 +& $& & 8E + '$'% & '" !'$ !'"5 " * >M$ 2 + 1 F&1 + + &%%& + # #&+ : 2 1&> # F %$ %& F 5 7 5 5N & " " 2"& 0 '5 '$ '& &24 # %& O + & 1 + = 9 4 9 > 9 4 I = I 9 < % +& 2 + ( 1 # # 1 F&1 5 +& % # 2 + 1 + # %&#&# M$ 1 # # 1 F&1 + 2 # + &+" M$ 2 + $ F&1 1 ( # # 4 + # 1 &4 < (5+< * ($+% 2 + 1 + 8F&% + # F&1 M$ + 4 2& + &+F % 1 + + &%%& + &24$ + + # # + 1 (+%&+ + +& $& + ( I − = I I= I= I I ! &# + 4 $ $ %&' + 2&+2 + 82 5 → 6 ; → 6 = +4 %&F&% %& + + < % &> # # 9 # < (5+< * 1 # # 1 + * 1 + # 1 ) # 2 + 1 2 # 1 + # + * 1 + 5 M$ + 1 28+ + &% &* + # %& +& * 1 # 6 = % + $&2 + $ # # +& 1 # # 1 F&1 +94 # # F&1 1 $ %&' % + $&# " !& 2& 2 + 1 8F&% + 4$ # % 24 ( M$ 4 1 # R + & $ $ %&' + M$ 4 R9 + ? 2 + 4 # ( ) 4 H&2 # 2 9# + + 9 ≈ 9 4 2& 1 + +4 %&F&% %& +" 1 2 2 + R % 2 # # 1 F&1 % 1 M$ 2 + 2 > (1 # $ %&' 5 ! 4 (+ ( + M$ + 4$ # 4 #$%& F ( &% %&' " ! $$ $ -A A " H ?/ K * > ( &# 1 # # 1 F&1 ($+% 2 + 1 + (1 + # < (5+< * 4 # 1 ( # # 4 + 5 $ F&1 # # R 1 + % F&%& +# 1 + 1 2 1 F&1 2 1&> # " 1 + $ F&1 # # # 2 + h % 24 % # + # +5$ +&+ %& A 1 M$ + 1 2&+2 h % F&%& + 9 # # $ 1 $ &> # # 9 + M$ % 24 + @ ( (& + 5 I = "; 97 I = I 9 = I = = , 7;9= + + % F&%& F 2 + # #&+ : + ( = I 6 I ; 7;, = 6 6; = ,=7 2 + 1 F&1 o 24 > # % % # + # o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cC + = 241 5 c C> + ! (& # M$ 5 = ∆Π # 1 + +& $& >+ + F' 2$1 + 5 = > >+ 1 ? 2 + 14 & 1 2 # 1 ∆Π = C cC ∆Π = + c C> >+ ∆Π = + C = " , , C 79 = , = 66 C 6 = , C9 = 66 C ; = 7, C C 67 = > =9 9494: & 9E '&I '% & " $&5 % '&$ % "* #$ '$ ' '$ 1 +& $& 4 + % +&+ 4 &4 4 + ( ) $ F&1 +& $& + M$&* 1 %& + # + 2 1&> 4 + ( # #$4 F %$ %& @ &24 # %& A 5 4 + # 1 F&1 2 1&> # &24 # %& " 11 + 241 1 + = 0 D %& # + ( 0 =1 2 + < +2&+&' o 6 4 +&(&1&# # + 5 = 0 2 + 1 +& $& %& %$& 0 1 < + % o 1? 1? + # # + # + c5 = ∆a 5 c ∆a = a 5 a M$&* 1 0 18 # % + $& $ F&1 &1&> 1? + # +2&+&' # TS % 2 + # ( (& + 4 1 1 % 2 & * + @B& $ 6"6G A" o >+ 0 @? # 2&% # + % 1? + # + 28+ 1? +# +2&+&' % +2&+&' # TS % 2 + # + 28+ 1? + & % 2 %& %$& & * + @B& $ 6"6G;A" + # +2&+&' % 241 1? + % 41 # + # TS7 + @F 2 TS A % 2 + # %& %$& (& % 2 & * + @B& $ 6"6G=A" ; 5 1 +$2 # 2( + 6= $, 4 = 6= βa = ! $$ 4 . " 6= & $$ 7 . − ? c % 4 ; = βa = ! a −? ' 6= $, = & = a5 − −C C c % ; ' 8 = +C +C 8 = +C −C λY : ! 9494> ")$' $$ < . " =;, & :E + '$' "& %0'! $ & 0 ' %0 0"! 2 0 !''""& " %0'! $ !' ! ' )& ! * 241 1? + % 41 # + 4 1 #&+ : 5 M$ + % +& $ #$%& % +&# (1 2 1 2 : # 1 #&+ : F& 1" 1 + # ( % 1%$1 1 + * 1 + # 1 + &24 # %& + 4 &24 # 1 + 1? + % 41 # + 241 # 1 + F' 2$1 + 8 = +C +C 8 = +C −C = 8 = " 9 = 8 = "= , 8 = " 6 8 = ",;; 8 6 = " , 8 6 = ",= 8 7 = " =; 8 7 = ",= ; 8 9 = " , 8 9 = ",= = " 6 8 8 8 ; # + = " 9 = 8 = ",;; = "= , ; 2 1&> 2 + &24 # %& 8 = 9;"96=, 8 = 76"77=, 8 = 9 " ;= 8 = 7="=7= 8 6 = 9 ",9, 8 6 = 7," 9, 8 7 = 9 ",66 8 7 = 7," =6 8 9 = 9 ",9, 8 9 = 7," 9, = 9 " ;= 8 8 8 ; = 7="=7= = 9;"96=, 8 * > ( 241 +4 # + % PORT P=1 Z=50 Ohm 1 2 ; = 76"77=, &# + 4 82 + 10% &% + # 1 + 1? + 4 # 2 + &241 2 1 # 1? + &# 1 + 5 1&> $ +&2$1 %&' 4 * +& + # 1 2 # 1 ' &% CLIN ID=TL1 ZE=ZE1 Ohm ZO=ZO1 Ohm EL=90 Deg F0=1.42 GHz W W CLIN ID=TL2 ZE=ZE2 Ohm ZO=ZO2 Ohm EL=90 Deg F0=1.42 GHz 3 4 1 W 2 W 3 4 ZE1=57.54 ZE2=51.18 ZE3=50.96 ZE4=50.93 CLIN ID=TL3 ZE=ZE3 Ohm ZO=ZO3 Ohm EL=90 Deg F0=1.42 GHz 1 2 4 W 1 2 CLIN ID=TL5 ZE=ZE3 Ohm ZO=ZO3 Ohm EL=90 Deg F0=1.42 GHz 3 W 4 W +$1 # + ZO1=43.45 ZO2=48.85 ZO3=49.06 ZO4=49.08 CLIN ID=TL4 ZE=ZE4 Ohm ZO=ZO4 Ohm EL=90 Deg F0=1.42 GHz 3 W 1 + 1 2 W W CLIN ID=TL6 ZE=ZE2 Ohm ZO=ZO2 Ohm EL=90 Deg F0=1.42 GHz 3 4 1 2 W W CLIN ID=TL7 ZE=ZE1 Ohm ZO=ZO1 Ohm EL=90 Deg F0=1.42 GHz 3 4 1 2 W W 3 4 PORT P=2 Z=50 Ohm ! $$ > " . , " " 0 !' " -50 DB(|S[1,1]|) * FiltroIdealv0_0 -100 DB(|S[2,1]|) * FiltroIdealv0_0 -150 -200 -250 1 1.2 ! $$ ? 1.4 1.6 Frequency (GHz) & " 1.8 . " 2 1.437 GHz -3 dB 1.404 GHz -3 dB B& $ !& 6"6G !&2$1 %&' F&1 % # 2 + 1 + +4 %&F&% %& o + # F&1 4 + ( # % M$ + M$& 1? + % 41 # + &# 1 + % + $& 1 + +& $& + # # 4 + F R 7 9 -D> F R 76 -D> F R 7 o &> # o o o 1 ( # # 4 + $ %&' # -D> F(R 77 -D> # 1 F&1 # +# 1 ( # 4R "9 # 28H&2 $ # ^ # ≤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z -19.9 dB -100 1.4204 GHz -97.06 dB -200 DB(|S[1,1]|) * Filtro Lineas Reales DB(|S[2,1]|) * Filtro Lineas Reales -300 1 1.2 ! $$ , 2 + 4$ # 4 %& 2 # 1 &# 1 1 2 # 1 4 &2&> %&' # 1 2 # 1 9494; & ?E !'&' ! & < 1.4 Frequency (GHz) " . * & # % +&# 1 % 40 #&# +" 14 & )$+ 0 %* 1.6 " 1.8 H (1 2 1 + +$1 # + 1 4 + 1 F&1 1 1 +& $& 4 + % +&+ & 8 + 28+ 1 + +4 %&F&% %& +" '"! &'- 0 "/ "& +3' , & + 4 &2&> %&' + 2 8 % 2 * & (1 + )$+ 1 + %< + 1 # 1 + 1? + % 41 # +" + () &* + # 1 4 &2&> %&' # ( 8 + +$1 # F& 1 1 + +4 %&F&% %& + # #&+ : # 1 F&1 o o o o o o # & $# + 5 + 4 %&' 1 + M$ % M$ 1 $ # m G 6,l m "77 G "=l JD> = = F1 H&' 28H&2 # 1 + : 1 & %&# $ %&' # 1 ( # # # 4 + # 4 %&' $ # < −6 4 4 m "7G "77 l JD> 1 ( # # 4 + $ %&' 28H&2 1 20 # # 1 % + 2? &2 " # 1 1 <− 1 ( # # 4 + # #& % )$ # 1 < +4$0+ # 4 &2&> ( 4 "9 # > − "9 4 # 4 &2&> 1 #&+ : 4 ( 2 + 1 + +$1 # + M$ 4 % 7 1 + 1$%&' # 1 +& $& (1 4 F&1 1 + #&2 +& + % 41 # + 5 1 + 1? )$' & 0"! & ! R "9 7 ! R6" 6 !6R7" , !7R7" , bR " = b R ";6 b6R "=,= b7R "=; +$+ + F?+&% + # 1 + 1? + 1 +&2$1 %&' %& 12 4 # 2 + % 24 ( " 0 # 5 + 1&# # 1 )$' & !'>= ^ b& R "=6 & R " 7 R 7"=7 R 9" 6R 7"79 7R 7", M$ 1 + +$1 # + + < 4 #&# $' & ' " '& 0 % * ! 1.4204 GHz -5.651 dB -50 +# 1.4204 GHz -33.59 dB -100 -150 DB(|S[2,1]|) * Filtro Lineas Reales Optimizado DB(|S[1,1]|) * Filtro Lineas Reales Optimizado -200 1 1.2 ! $$ / 1.4 Frequency (GHz) . " 9 1.6 H 1.8 "# 2 ) " 0 -50 $' & ' "'& & $ 0' ! ! & 1.4204 GHz -20.9 dB 1.4204 GHz -2.793 dB -100 DB(|S[1,1]|) * Filtro lineas reales sin perdidas opt -150 DB(|S[2,1]|) * Filtro lineas reales sin perdidas opt -200 1 1.2 $$ 4 9494< & ;E 1.4 Frequency (GHz) . " H 1.6 1.8 "# ' #$ !'" 2 * >#&+ : # +&2$1 # 5 4 &2&> # 2 + 1 1 5 $ # 1 F&1 % 187.0 188.1 mm ! $$ 7) 2 + * 1 F& $ 1 2 : # 1 F&1 + # 2 +& # # 4 1 M$ 4 4 4 F$ $ + 4 5 % + #$%& 1 + #&2 +& + # 1 2&+2 $+ # B&1 &4 # 0% &% +" + F ( &% 8" ! + D & 4& $ ! $$ <) %$; = 0) " : $ " & $'& 2 )$' & & :41 $ " & $'& + 4 5 % F& # % + < # 2 + # M$ 4 # 2 + #&+ : 5 F ( &% $ 241&F&% # # 2&% # + 1 ( # # 7 -D> < %& # $+ # 1 + %$ + + M$ 2 + $ + &* +&# #" $ 1 # $+ # 1 ? # #&+ : # 241&F&% # + # 2&% # + # + 11 # +& $ + # 1 % % 2 +2&+&' 4 ! 4 B?+&% &+ : # !$(+&+ 2 + # #& F %$ %& " 241 # $ + F C # +&2$1 %&' 5 #&+ : +&+ &# 4 # # # %& %$& + # 1 F %$ %& @ A" 4 &%$1 + + %& 1 1 $+ # + &4 # 4 2 +4 %$ 1 + F % + # 1 + 1? + # +2&+&' 1 +" + &4 # 4 2 + 4 # 2 + 4 &2&> 1 + %& %$& + 241 # #&* + + 0% &% + 4 )$+ + + &%%& + # #&+ : " + + # $ &1&# # 5 M$ 2 12 1 4 + # 1 2 # 1 &# 1 # $ %& %$& +$ 2 # 1 1 1 % 24 2& # 1 2&+2 * ? % +&# (1 2 5 + % + & 1&> )$+ + M$ + 11 * % ( % 2 5 F %&1&# # 241 # + &4 # < 2& + # 4 &2&> %&' " 1 () &* 4 & %&4 1 # 1 4 5 % 1 #&+ : +&2$1 %&' 5 F ( &% %&' # $ 241&F&% # # ( ) $&# # $ E &% 4 " _+ < 4 + # 1 + +&2$1 %& + ! RG9 " = # $ %& ! R 6"= # $ $ + * 1 + # ! RG9=", # &+1 2& ! RG ;",7# 5 $ F % # $&# BR "7 ; # # 1 F %$ %& # 7 "7 -D>5 $ %< # ( # 6# 4 1 ! # ,;; -D> 5 4 1! # -D>5 ! # 7 -D>" * > M$ *&2 + M$ 0 2 + % 4 % + # F ( &% 1 & %& %$& 5 4 + # < ( %$(& 1 + () &* + & &%& 1 + # 1 4 5 % 4 + 2 + 1 4 +&(&1&# # # $2 1 %& # 1 #&+4 +& &* #&+ : # $ 241&F&% # # # + 4 + # 2 # M$ ( +8 # + 1 + F' 2$1 + # B &&++ 1 4 &2 4 F$ # ( ) $&# 5 1 + $ # # 28H&2 %& " +? 4 1 241&F&% # # # + 4 + 1 + +$1 # + # 1 + +&2$1 %& + ! R G 9"= # ! RG9 " = # $ %& ! R6 "9 ; # $ &+1 2& ! RG7 " # 5 $ F % # $&# BR "9;;9= # 1 F %$ %& # 7 "7 -D>" 2(&0 + ( $* + F %$ %& % 1$ %< # ( # 6# 4 1 ! # , -D> 5 4 1 ! # 9 WD>5 ! # 6 WD>" * >#&+ : # + +&2$1 # + 5 4 &2&> # + + 4 +' 1 F ( &% %&' # 1 + 4 $+ # % 1 ? 2&% + &4" ! < $+ # $ +&+ # &4 - !B # + # J 1& @J +A % % 1 B 69 76 # 1 % + &1 %< 1 & + +$(+ # &4 $ &# @ ε = " 9±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` +< < & b&1 5G +%& % " -B ' 9 , 2 2, 9 9 6 '4 >@ &* +&# # 1& 0% &% # 1 %& A" -B 9 1< & " " (& %< D $+ $(1&+< +" -5 9 1" 1 ) # 1 # J$ &0 > $ O 4 B @ &* +&# # 1& 0% &% # - # &#A" % GB 9 " [" &1+ !` $ @ %< &% 1 &* +& 5 F 2 `A -9 ,@ %1< @B $ < #& & A !&2 D 5`& &% D 11 F 2 & # !5+ 2 !%& % + ! & +" H= D @ > ?H 5 1" J"- < & " $ # "-" " + %< D $+ $(1&+< +" -9 , @ ! 1< @CCC" &1 "% 2A 6