Cecil Moore wrote:
Jim Kelley wrote:

Though, you can't just arbitrarily change the sign in an equation in
order to make the answer come out right.

For b1 = 0, s11(a1) and s12(a2) *must* be 180 degrees
out of phase.

cos(180) IS NOT AN ARBITRARY CHANGE!

cos(180) = -1 (but you knew that already)

Joules per second doesn't have phase, Cecil. Your claim was the value
was 1 joule/sec. And the equation is stated pretty clearly in AN-95-1
as the sum of the terms. It doesn't have a minus sign, and it there
isn't a cosine term in it. a1 and a2 are complex voltages, and their
relative phase take care of itself - unless of course you square the
equation. That's how you end up with nonsense like 0=4.

I'm done with this.

AC6XG