Scattering matrix of lossy line

Hallo,

I need the S-parameter model of a lossy line of arbitrary characteristic
impedance ZL which differs from my system impedance Z0=50 described by
the typical line parameters ZL and gamma.

I have found several literature where this is done for the A-parameters
of a lossy line, but never with the S-parameters.

Also I'm wondering why there is lots of transformation tables between the
different kinds of twoport parameters (Z,Y,A,H,...) but the S-Parameters
are missing all the time. What could be the fundamental reason for this?

I have found one citation where there are formulas for transforming S->A.
I have solved this set for S with help of Mathematica, so there shouldn't
be any errors, input has been verified several times. But replacing the
A-parameters and Z0 with their physical units (a simple plausibility
check when doing such things) yields nonsense units for the S-Parameters
(s11=0,s12=0,s21=0.5,s22=0) But the same unit check holds for the
original S->A equations.

So I suspect my book to be wrong, maybe typing errors.

1) Can anyone provide me with a symbolic S-Parameter model of a lossy
line (with R, L, G, C)?

2) Can anyone provide me a verified transformation from A->S which sure
is correct?

Thank you for your help



--
Regards

Oliver Friedrich

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