I'm currently studying microwave engineering as a subject.
Everywhere on the internet and the books, they've only shown the derivation of S11 and S22 from ABCD parameters of a network. Yes, that's intuitive, since S11 is tau(in) and S22 is tau(out), and I have impedance formulas for both, making their calculation easy.
However, how do I derive S12 and S21 from ABCD parameters of a network? I've tried searching a lot, but I'm not getting the derivation, only the result.
I tried solving this on my own, but I'm not getting a hang of it, primarily because scattering parameters need transmitted and reflected wave while other parameters work on voltages/currents.
Any resources you can point me to? Thanks!