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Cecil Moore wrote:
Gene Fuller wrote: * Standing waves don't require the pre-existence of traveling waves. Please present an example of a standing wave that exists without a forward-traveling wave component superposed with a rearward- traveling wave component. -- 73, Cecil http://www.qsl.net/w5dxp Cecil, Sorry, you are not paying attention. I gave you a reference that is full of such examples. Another reference you have quoted on numerous occasions is "Transmission Lines and Networks" by Walter Johnson. Take a look on page 164. He gives a description of standing waves and then comments, "One can imagine two oppositely traveling waves, . . . " Note that he uses "imagine", not required, essential, or any other mandatory word. I do not claim the use of superposed traveling waves is wrong. However, it is merely a mathematical trick, not unlike describing a square wave as a summation of Fourier components. This is very commonly done, and it is often very useful. It does not mean that mathematically derived sub-components are somehow more valid representations of nature than the original form. 73, Gene W4SZ |
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