Gene Fuller wrote:
quoting Born & Wolf:
"However, when the definition has
been applied cautiously, in particular for averages of small but finite
regions of space or time, no contradictions with experiments have been
found. We shall therefore accept the above definition in terms of the
Poynting vector of the density of the energy flow."

There's the meat of the quote as far as transmission lines
are concerned. Given that transmission lines are "small but
finite regions of space or time", and since there are only
two possible directions in a transmission line, Born and
Wolf seem to give us permission to do exactly what you
are complaining about. Your concerns about light waves
in three dimensional free space just don't exist for the
primarily single dimensional "space" in a transmission line.
Ideally, the power density exists only between the inner and
outer conductors of the coax.

It does not make any sense to simply
add and subtract Poynting vectors in elementary fashion and expect to
get correct results.

Born & Wolf's own words in the quote above provided by you
contradict that assertion.

It simply does not matter.

You sure make a lot of postings about it for it not
to matter to you. :-) It certainly matters to me
and others and we will not stop the discussion
until it is resolved to everyone's satisfaction.
What are you afraid we will uncover if we keep
digging? Your ignorance?

It has been pointed out numerous times that modern physical theory is
correct by design. Ian again pointed out that fact earlier today. If the
wave equations, the field equations, force equations, or whatever are
analyzed correctly the energy balance will automatically work out
correctly as well.

The assertions that reflected waves don't exist or if they
do exist, they contain no energy, are false assertions. Trying
to sweep them under the rug by mealy-mouthing some automatic
energy balance religion is just another copout.
--
73, Cecil http://www.w5dxp.com