Gene Fuller wrote:
I should have know better than to read this with a cup of coffee in my
hand. I just snorted coffee all over my keyboard.

Gene, I've got an experiment for you. Go to:

http://micro.magnet.fsu.edu/primer/j...ons/index.html

and set one phase to 0 and the other phase to 180 degrees.
Then get an index card and cover up everything to the
left except one point on each wave. All you see is those
two single points moving up and down. That gives you a
visual idea of how s11(a1) and s12(a2) originate and are
canceled at a Z0-match *point*. Plot those points back
in time and you will have a history of the canceled waves
from which you can compute average power density as
|s11(a1)|^2 and |s12(a2|^2.
--
73, Cecil http://www.w5dxp.com