On Apr 28, 8:54 am, Cecil Moore wrote:
This just illustrates how artificial standing waves are.

You have hit the nail on the head here.

In another post you provided two expressions for the spatial
and temporal distribution of voltage on the line...

A) E(x,t) = Eot[sin(kx+wt) + sin(kx-wt)]
B) E(x,t) = 2*Eot*sin(kx)*cos(wt)

There are an infinite number. Three immediately come to mind...

C) E(x,t) = expressed as an exponental
D) E(x,t) = expressed as a differential equation
E) expression A) can be re-expressed as an infinite
sum keeping track of all the individual reflections.

All of these accurately yield the correct E(x,t) and there are
similar expressions which correctly yield I(x,t). In the same
sense that B) (called by you the standing wave expression) is
artificial, they are all equally artificial. And yet they each
have their place for solving problems since they all, in the end,
yield the correct E(x,t), the only thing that actually exists.

For reasons hard to fathom, you have latched on to A) as
being THE TRUTH, though it really lacks any features to
distinguish it from the rest. D) is arguably a much better
choice for truth since it will handle signals other than
sinusoidal.

As said before, you would find it valuable to let go of A) as
THE TRUTH, since it would permit you to solve real world
problems that you currently refuse to solve because you
believe the technique for solution conflicts with A) as
TRUTH.

....Keith