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Keith Dysart wrote:
Now just above, you started with 100W + 100W and ended with 400W. And you wonder why readers think you advocate this position. 100W + 100W is not all we started with. Somewhere else is 100W + 100W of destructive interference that adds up to zero. This is very much like the equation in Born and Wolf. Itotal = 4I1 where I1 = I2 = 100 watts/unit-area Such is the nature of constructive interference. That you are ignorant of such is noted. Does this not cause you some discomfort? It clearly violates conservation of energy. Absolutely NOT! There is 200 watts of destructive interference somewhere else. Here is a real-world example: ---291.4 ohm line---+---1/2WL 50 ohm line---291.4 ohm load Pfor1=200W-- Pfor2=400W-- --Pref1=0W --Pref2=200W On the load side of point '+': P1 = Pfor1(1-rho^2) = 100W P2 = Pref2(rho^2) = 100W P1 + P2 + 2*SQRT(P1*P2) = Pfor2 = 400W (200W of constructive interference) On the source side of point '+': P3 = Pfor1(rho^2) = 100W P4 = Pref2(1-rho^2) = 100W P3 + P4 - 2*SQRT(P3*P4) = Pref1 = 0W (200W of destructive interference) -- 73, Cecil http://www.w5dxp.com |
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