Dr. Slick wrote:
I meant, how did they derive Reflection Coefficient=(Zn-1)/Zn+1)?
They certainly don't show us! This would be key to answering our questions.

Not taking sides here, just hopefully contributing something.

The s-parameters normalize voltages to the square root of Z0
such that the square of 'a1' is incident power normalized to
Z0=1.0. The standard Smith Chart is normalized to Z0=1.0. Thus
s-parameter quantities can be plotted directly on a standard
Smith Chart. The above equation looks as if Z0=1.0 for
normalization purposes. If 50 ohms is normalized to 1.0,
then Zn is probably Z1 also normalized to 50 ohms, i.e.
(Z1-Z0)/(Z1+Z0) = [(Z1/Z0)-(Z0/Z0)]/[(Z1/Z0)+(Z0/Z0)] =
(Zn-1)/(Zn+1) = s11. The 'n' in Zn may mean Z1 "normalized".
--
73, Cecil http://www.qsl.net/w5dxp



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