snip
And that, in a nutshell, is the entire problem. You implied your definition
of re-reflection in _Reflections_. Steve implied his definition of re-reflection
in his QEX article. They are NOT the same definitions. Your definition of re-
reflected voltage involves a reflection coefficient of 1.0 at your virtual short.
Steve's reflection coefficient is the *physical reflection coefficient*, not the
virtual reflection coefficient and is NEVER equal to 1.0.

Cecil, I'll give you an example below, taken from your own 1/4 wl transformer
analysis, that proves a virtual reflection coefficient can equal 1.0.

Now I see your problem, Cecil, and that is because you still don't understand
why a reflect ion coefficient of 1.0 IS established when two waves equal in
magnitude but of equal and opposite phase occur at the match point. If the two
waves are of unequal magnitude the coefficient is simply less than 1.0. So I
repeat for emphasis, it matters not whether the reflection is established by
physical or virtual means. This is another error in Steve's article. He disputes
this established fact, saying incorrectly that a physical short is required to
establish reflections--totally wrong.

In your 1/4 wl transfomer analysis we have Pfwd total = 133.33 w. 33.333 w of
this incident power was reflected, even though in originally separate, but
eventually integrated waves to sum to 33.333 w. The originally separate, but
eventually integrated voltages were totally re-reflected at the match point. I
know that you agree that all reflected waves are totally re-reflected at the
match point. How do you suppose those waves became totally re-reflected? It can
be accomplished only if the aggregate reflection coefficient is 1.0.
Consequently, in the steady state the input of the 1/4 wl transformer presents a
reflection coefficient of 1.0 to the integrated sum of individual reflected
waves. The separate forward and reflected waves that appear in your analysis
occur separately only during the transition period from the initial state to the
steady state condition. Can't be any other way, Cecil. Believe it!