Roy Lewallen wrote:
If Cecil's analysis shows, or his theory requires, that the result be
different when adding the responses to traveling current waves than it
is by calculating the response directly from the total current, then the
analysis or theory is wrong. Superposition requires that the two results
be identical.

There is a phase shift through the coil for the individual
phasors. When the phasors are superposed, that phase shift
information disappears. That's what I meant by my statement.
The results are the same but information is lost.

Please see http://www.qsl.net/w5dxp/current.htm "Why the net
current is not constant through a loading coil" and take a look
at the phase of the net current. It is unchanging. Those phasors
are copied directly from "Optics" by Hecht.

What I was talking specifically about is the phase shift through
the coil so let's discuss that one limited technical subject.

The form of the forward traveling wave current is function(kz+wt)
The form of the reflected traveling wave current is function(kz-wt)
When we superpose those two waves we get the standing wave current.
The form of the standing wave current is function(kz)*function(wt)
A lot of information, including all phase information, has been lost
in that superposition process.

The standing wave current is obviously not like the traveling wave
currents because the equations are different. As Gene Fuller said
earlier, it has been stripped of all phase information by the
superposition process. You pointed out a couple of days ago that the
phase of the standing wave current is virtually constant from feedpoint
to the tip of the antenna while the phase of the traveling waves are
certainly not constant.

I have asked this technical question before and no one has answered
it. Given that the standing wave current would indicate a phase
shift of zero in 45 degrees of a wire antenna, what does that imply
for using the standing wave current to measure the number of degrees
of the antenna occupied by the loading coil?

If the standing wave current cannot determine the phase shift in
a wire, why does anyone think it can determine the phase shift
in a wire formed into a coil?

Kraus and EZNEC tell us that the standing wave phase shift is zero
from tip to tip in a 1/2WL thin-wire dipole. Why is it a surprise
that if we replace part of that antenna with a loading coil the
standing wave phase shift doesn't change and is still zero? What
useful information does knowing that provide?

Since the standing wave current phase is unchanging, how can it
be used to determine how much of an antenna has been replaced
by a loading coil?

You and Tom have used standing wave current for your measurements.
Delays and phases cannot be measured using standing wave current
because standing wave current doesn't contain any phase related
information. As Gene said, it lost all phase information in the
superposition. All we can gather from the standing wave current is
that the forward current and reflected current phasors are rotating
in opposite directions. The delay experienced by the traveling waves
is hidden by the superposition process.
--
73, Cecil http://www.qsl.net/w5dxp