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Jim Kelley wrote:
You seem to be implying that there's something different about how these electromagnetic waves change direction compared to other electromagnetic waves. Why is that? There is something different but not unusual. We don't often observe wave cancellation of visible light waves because of the problem of getting coherent beams of light perfectly aligned. Yet, we experience RF wave cancellation every time we adjust our antenna tuners for a Z0-match because the perfect alignment of coherent RF waves inside a piece of coax is an automatic given. Here's a very simple example. The measured forward and reflected powers are given. The source and load impedances are irrelevant and the length of the Z01 and Z02 lines are irrelevant. Any one of these measured values could be unknown and solved for by calculations based on the conservation of energy principle. ------Z01------+------Z02------ Pfor1=100w-- Pfor2=200w-- --Pref1=0w --Pref2=100w We have 100 joules/sec incident upon the Z0-match point from the direction of the source. We have 100 joules/sec incident upon the Z0-match point from the direction of the load. Those waves combine to obtain 200 joules/sec toward the load. It is obvious that Pref2 has to change direction and momentum for that condition to exist. The power reflection coefficient, rho^2, is obviously 0.5 so the voltage reflection coefficient, rho, is just as obviously +/- 0.707, depending upon whether [Z02 Z01] or [Z02 Z01}. The direction and momentum of the Pref2 reflected wave obviously reverses at the Z0-match point '+'. Exactly how does the direction and momentum of the Pref2 wave get reversed? Where are the physics equations for that process that we hams label "re-reflection"? You and others have been strangely silent on that subject preferring to kibitz rather than provide any technical insight. An exact duplicate of the above conditions would exist with a 100w laser beam traveling through 1/2WL of thin film with an index of refraction of 5.83. A B i=1.0 | i=5.83 | i=1.0 100w laser---air---|--1/2WL thin-film--|---air---... --Pref1=0w | --Pref2=100w | --Pref3=0w Pfor1=100w | Pfor2=200w-- | Pfor3=100w-- What happens to reverse the direction and momentum of the internal reflection in the thin film? Hint: Both Hecht and Born & Wolf give the equations for what happens at plane A. And yes, the S-Parameter equations agree 100% with them. -- 73, Cecil http://www.w5dxp.com |
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