RadioBanter - View Single Post - Reflection Coefficient Smoke Clears a Bit

August 28th 03, 10:24 PM

(Tom Bruhns) wrote in message om...

Hey, Reg, it's just a simple high-school (well, maybe first-year
college) differential calculus problem. Just let Garvin work through
it for us. Hey, good Dr., could you do that for us? Just write an
expression for |Vr/Vf| = |(Zl-Zo)/(Zl+Zo)| in terms of Rl and Xl and
find the partial derivatives with respect to those two variables, and
set both equal to zero, while letting Ro=Xo. It's mostly just a bunch
of bookkeeping. You should come up with values of Rl and Zl in terms
of Ro, and you can check to be sure that's actually a maximum and not
a minimum or saddle point. You should see a symmetry for Ro=-Xo, the
more usual limiting case.

Cheers,
Tom

Well, Tom, as your education is "not worth mentioning", i don't
feel a need to impress or bore you with a lot of math. And a lot of
math is not needed in this case, although it would be interesting to
see the derivation of the conjugate equation.

Maybe you should play some more chess...

Slick