On Jan 19, 5:04*am, Cecil Moore wrote:
It is a gross confusion of cause and effect to say:
"If two waves superpose to zero, those two waves
don't exist."

Then it should be a simple matter for you to actually measure the
canceled waves and their energy in order to prove everyone wrong once
and for all.

If the component waves being emitted
by a Yagi antenna don't exist, then it is a waste
of time and money to put up a Yagi antenna.

Maybe you should notify HP that they are wasting their
time publishing the following equation since s11*a1
and s12*a2 don't exist.

b1 = s11*a1 + s12*a2 = 0

That equation does *not* imply that s11*a1 and s12*a2
must equal zero. In fact those non-zero values are easy
to calculate. Square each and you have the power associated
with each of those components.

And yet when b1=0, they refuse to deliver any. It doesn't seem to
lend much support for your claim.

The irradiance equation from optical physics can be
derived by squaring the s-parameter normalized voltage
equation. Since (a1*a2) is a phasor term in that equation,
the phase angle between a1 and a2 must be included in the
result.
--
73, Cecil *http://www.w5dxp.com

None of the well proven methods shows a need for there to be any
energy in canceled, non-existant waves. HP would certainly never
affiliate themselves with a claim that there's energy associated with
waves that don't exist. The irradiance equation with all its "phasor
terms" is no help either. Where there is no irradiance, there is no
EM energy. Even Yagi antennas fail to radiate energy from their null
points. The only person I've ever seen claiming that there is energy
in non-existant waves is you, Cecil. On it's face, the idea is
ludicrous. And apparently you don't even find beauty in the fact that,
with no energy traveling in the direction of cancelled waves, there is
no need to invent a "4th mechanism of reflection" in order to conserve
that energy and get it moving in its correct direction of travel. As
a bonus, there is no need for religious beliefs that interference and
wave interaction cause waves to change direction. Accepting this
would of course mean yet another delay in the quest for martyrdom.

ac6xg