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Reflection coefficient for non reciprocal RF elements

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nauma naseer

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Dear all what is the mathematical relation for calculation of reflection coefficient from S-Parameters of a non reciprocal or active RF circuit element
if some could share some paper regarding its derivation İ will be very great-full
Regards
 

The question little no sense and the answer doesn't depend on reciprocity. Reflection coefficient is S11, presumed the other ports are terminated with Z0.
 

FvM said:
The question little no sense and the answer doesn't depend on reciprocity. Reflection coefficient is S11, presumed the other ports are terminated with Z0.
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The Reflection coefficient is S11 when Reflection coefficient Γs is taken as 0 if it will not be zero then reflection coefficient will be different and i am looking for the derivation of this formula Γin=S11+(S12S21Γs)/(1-S22Γs)
 

O.K., you are asking about S11 of cascaded networks. The only special property of non-reciprocal networks is S12 ≠ S21.

I presume the derivation can be found in RF engineering text books, I didn't yet have a need to verify it myself.
 

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