"Dr. Slick" wrote in message
om...
"David Robbins" wrote in message
...


Please show us if he correctly defines formula (1) and why. And
i'd
also
like to see if someone can derive these:

ai= (Vi+Zi*Ii)/(2*sqrt(Re(Zi))
bi= (Vi-conj(Zi)*Ii)/(2*sqrt(Re(Zi))

For what he calls the incident and reflected power waves.

re-read my reply above until you understand it... (1) is GIVEN, it is
the
starting point, he DEFINED ai and bi to be those values... the then goes
on
for several paragraphs explaining why he thinks those are better waves
than
other types of waves.


Well, I certainly didn't expect you to provide the derivation,
but maybe someone else can.

no, no one can derive something that is defined... it is a given. it is the
author's choice to define waves the way he wants, and then to define
whatever he wants to all his reflection coefficient from those waves. that
does not mean it can be generalized to other waves. the waves defined that
result in the normal reflection coefficient happen to be a simple solution
to a second order partial differential equation that results when you
analyze the voltage or current waves in a transmission line.... a different
type of wave, requiring a different reflection coefficient... and never the
twain shall meet!