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Hello. I missed the class where we discussed S-Parameters and I need help with t

ID: 1811417 • Letter: H

Question

Hello. I missed the class where we discussed S-Parameters and I need help with these questions. If you could please explain while answering, that would be fantastic.
They don't cover this in my textbook and most of the things I find online aren't really helping me.


Question: A microwave device is represented by the S-matrix figure 1. (assume system characteristic impedance is Zo=50 ohms)


Figure 1: http://i37.tinypic.com/a3cfie.jpg


The question has 2 parts:


a) Find b2 where b2 = [V+(port 2)]/(sqrt(Zo)) assuming port two is matched


b) Find the phaser form of the forward going voltage wave at port 2, V2+ = V+(port2)



Explanation / Answer

a) b2 = S(21) * a1 + S(22) * a2 = (0.2 -0.2j)*a1 + (-0.4j)*a2

We can find it for different values of a1 and a2...


b)V+(port 2) = V-(port 1)/S(12) + V-(port 2) / S(22)


where (S(11), S(22) ,S(12) and S(21) are the elements of 2*2 scattering matrix.