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Cecil Moore wrote:
Gene Fuller wrote: Why would anyone try to prove that the basic math of adding sinusoidal functions is incorrect? To the contrary, you are the one who insists that a standing wave and its constituent traveling wave components are somehow different and unique. Actually, it was you who made that assertion and thanks for the opportunity to quote you once again: Gene Fuller, W4SZ wrote: In a standing wave antenna problem, such as the one you describe, there is no remaining phase information. Any specific phase characteristics of the traveling waves died out when the startup transients died out. So standing waves are "somehow different" from traveling waves according to your own assertions. The traveling wave possesses phase characteristics and the standing wave doesn't. Cecil, You keep making the same mistake. Yes, you can analyze traveling waves instead of standing waves if you so choose. However, there is not one bit of additional physical information in the traveling waves that is not in the standing wave. Any "phase characteristic" is simply a function of the mathematical manipulations you use. Perhaps someday you will actually understand superposition, but I won't hold my breath. 73, Gene W4SZ |
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