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Old April 9th 07, 07:24 PM posted to rec.radio.amateur.antenna
Cecil Moore[_2_] Cecil Moore[_2_] is offline
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First recorded activity by RadioBanter: Mar 2007
Posts: 3,521
Default Constructive interference in radiowave propagation

Gene Fuller wrote:
I am still waiting to learn the technical details of "cancellation",
including the proper units and the characteristic equations. There has
been deafening silence in response to my similar query about
"interference".


I have posted the details of cancellation more than
once and you haven't disagreed except in an ad
hominem way with zero technical content.

Once again here is the S-Parameter equation for
the reflected wave at a Z0-match impedance
discontinuity in a transmission line:

b1 = s11(a1) + s12(a2) = 0

b1 is the normalized reflected voltage at the
Z0-match. |b1|^2 is the reflected power in
the direction of the source.

s11(a1) is the normalized external reflected
voltage at the Z0-match.

s12(a2) is the normalized internal reflected
voltage making it through the Z0-match back
from the mismatched load.

Since b1 = 0, s11(a1) and s12(a2) have canceled.
s11(a1) and s12(a2) are of equal magnitudes and
opposite phases. Those waves are canceled toward
the source. Their combined energy components join
the forward wave toward the load.

Wave cancellation is what happens when a ham tunes
his antenna tuner for zero reflected power. I dare
say you have engaged in that very behavior leading
up to wave cancellation of reflections in the
direction of the source.
--
73, Cecil http://www.w5dxp.com