How to convert 1port S-parameter to 2port one?

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GGAPBE96

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1port Sparameter

Does anyone know how to convert 1port S-parameter of passive component to 2port one?

I measured some inductors on Impedance Analyzer and I got S11 characteristic.
In addition, I want to know the through characteristic.
 

1port Sparameter

Hi


If is it lossless network and reciprocal abs(S11)=abs(S22) and S12 = S21 = sqrt(1-S11²), exactly S11²+S12²=1.

I hope, that I helped you.....

Added after 3 minutes:

btw , exactly I am not sure, if is inductor lossless......
 

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    GGAPBE96

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Re: 1port Sparameter

Hi,mauloftin

Thank u for the reply.

>S12 = S21 = sqrt(1-S11²)

Can I calculate the phase of S21?
It seems the energy conservation law.
I may be mistaken, but I think that this formula is...

|S11|^2 + |S12|^2 = 1 ==> |S21| = sqrt(1-|S11|^2)

In fact,I think I can't get the phase of S21.
 

Re: 1port Sparameter


yes, of course, |S11|^2 + |S12|^2 = 1 ==> |S21| = sqrt(1-|S11|^2) it is OK, sorry.

For the phase in this case:

2Φ12 = Φ11 + Φ22 ± Pi

Φ12=Φ21
 

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    GGAPBE96

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Re: 1port Sparameter

Oh,, thank you so much!

Unfortunately,I couldn't understand why 2Φ12 = Φ11 + Φ22 ± Pi.
I have to study basic theory.
 


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    GGAPBE96

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Re: 1port Sparameter

OK, I'll read it.
 

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