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Old March 31st 07, 02:40 AM 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 Is the Superposition Principle invalid?

Owen Duffy wrote:
To my mind, there is nothing in YOUR definition above (it is not

Hecht's,
it is your partical quote and elaboration) that states that it is valid
to sum energy waves or power waves (whatever those terms mean) as you
seem to want to do, or to treat them independently if that is what
'separately' means as you use it, or the specifics of what quantities

are
summed.


Here is the way one sums the power in two energy waves. This
is one of the things that Dr. Best, ve9srb, got right in
his Nov/Dec 2001 QEX article, "Wave Mechanics of Transmission
Lines, Part 3: Power Delivery and Impedance Matching". This
article is what got me to thinking along my present lines.

Ptotal = P1 + P2 + 2*SQRT(P1*P2)cos(A)

where A is the phase angle between the two energy waves.

This is the same as the irradiance equation from the field of
optics and applies perfectly to transmission lines. The first
time I saw the equation was in Dr. Best's QEX article so I
certainly cannot take credit for it.

All this information has been available on my web page for
years.
--
73, Cecil http://www.w5dxp.com