Gene Fuller wrote:
I am feeling dizzy. I am quite comfortable with my understanding of the
entire problem, but I am seriously confused about your position. Nobody
has ever talked about efficiency or the length of wire needed. The issue
has always been replacing "degrees of antenna". I have captured a few
excerpts from April 7.

What you quoted from me is my reporting of what EZNEC says about
standing wave current Vs traveling wave current at:

http://www.qsl.net/w5dxp/travstnd.GIG

The 'x' axis for both conditions is just a piece of 1/4WL wire.
One can calculate the phase shift in any section of wire in two
ways:

1. For traveling waves, the phase shift is given by the graph
of the phase (red line). The magnitude (blue line) contains
no phase information.

2. For standing waves, the phase shift is given by taking the
arc-cosine of the magnitude (blue line). The phase (red line)
contains no phase information.

Before we talk about replacing a piece of wire with a coil,
do you understand the above graphic and concepts? You seemed
to understand when you posted:

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.

The only "phase" remaining is the cos (kz) term, which is really
an amplitude description, not a phase.
--
73, Cecil http://www.qsl.net/w5dxp