Tom Donaly wrote:
It's hardly surprising that Cecil thinks there's no phase information in
a standing wave, since he leaves it out on purpose. "Cos(x)*Cos(wt)" is
just flat wrong. It's supposed to be "Cos(x + d/2)*e^(i(wt + d/2))." "d"
is the phase difference between a wave traveling in the forward
direction and an equal amplitude wave traveling in the opposite
direction. This is pretty poor shooting for a guy who claims a
degree in symbol slinging.

I copied the equations from "Optics", by Hecht, page
289 in the 4th edition.

Unfortunately, it is apparent that you will sacrifice
your technical ethics to try to discredit me. Everything
I have written is referenced to a source at zero degrees.
Your extra terms do absolutely nothing except obfuscate
the concepts. One can only assume that obfuscation is your
ulterior motive.

Here's what Gene Fuller had to say about this subject:

Regarding the cos(kz)*cos(wt) term in a standing wave:

Gene Fuller, W4SZ wrote:
In a standing wave antenna problem, such as the one you describe,
there is no remaining phase information. Any specific phase
characteristics of the traveling waves died out when the startup
transients died out.

Phase is gone. Kaput. Vanished. Cannot be recovered. Never to be
seen again.

Why don't you two get back to us after you thrash out the
details upon which you disagree?
--
73, Cecil http://www.w5dxp.com