Calculation of Scattering Parameters

Then we have z 1 5 31 1 s11 t 1 zt 1 1 5 3 1 4 to

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Unformatted text preview: . Then we have Z −1 5 3−1 1 S11 = T 1 = = ZT 1 + 1 5 3 + 1 4 To find S21 we calculate V2 as 2 || 1 2 3 ES V2 = ES = ES = 1 + 1 + 2 || 1 83 4 Then we get V 1 S21 = 2 2 = ES 2 To find the scattering parameters S22 and S12 , attach a matched source to port 1 and a matched load to port 2 to obtain the circuit shown: V + V1 − 1 1 2 1 + ES − ZT 2 To find S22 we calculate the impedance looking into port 2 as ZT 2 = 2 || 2 = 1 . Then we have Z −1 S22 = T 2 =0 ZT 2 + 1 To find S12 we calculate V1 as 2 || 2 E 1 VE V = ES = S , V1 = V = =S 1 + 2 || 2 2 1+1 2 4 Then we get V 1 S12 = 2 1 = ES 2...
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