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Is the Superposition Principle invalid?
"Cecil Moore" wrote Old, worn out, diversionary technique. Doesn't work. If you can prove that I ever said power can be superposed, I will send you a $100 bill. Have you stopped beating your girlfriend? See, I know how to do that also. 73, Cecil http://www.w5dxp.com What do you know how to do, Cecil? Stop beating your girlfriend? (big grin) Mike w5chr |
Is the Superposition Principle invalid?
Richard Clark wrote:
Cecil Moore wrote: If you can prove that I ever said power can be superposed, I will send you a $100 bill. On Sat, 31 Mar 2007 01:20:35 GMT, Cecil Moore wrote: Ptotal = P1 + P2 + 2*SQRT(P1*P2)cos(A) Sorry Richard, that is not superposition. That is the way the power is calculated when two EM waves are superposed. And no, Eugene Hecht did not superpose irradiances. For being wrong, please send me a $100 bill. :-) -- 73, Cecil http://www.w5dxp.com |
Is the Superposition Principle invalid?
Richard Clark wrote:
Did Karl Rove write that flip-flop for you? I'm afraid what you inferred is something that I didn't imply. At no time have I ever said or implied that scalar values can be superposed. I have said many times that they cannot be. Hecht's irradiance equations are valid for computing transmission line power. As far as I know, Dr. Best first applied the irradiance equations to transmission lines in his 2001 QEX article. Before that, I had never heard of the irradiance equation. Those threads with Dr. Best are archived by Google for the spring/summer of 2001. -- 73, Cecil http://www.w5dxp.com |
Is the Superposition Principle invalid?
Cecil Moore wrote:
Gene Fuller wrote: I have said many times that you can choose to analyze the individual components or you can analyze the superposed combination, i.e., a standing wave. It is purely a matter of mathematical convenience. However, if you get different answers, including more or less completeness, then you have made an error. That is the essence of superposition. If that property was not true, then superposition would be of little value. An energy analysis yields exactly the same results as any other valid method of analysis and is often much easier. There are no "different answers", yet you imply there are. An energy analysis obeys all of the principles of physics. Optical physicists have been solving energy analysis problems for centuries. It's a simply yes/no question: Does the analysis of the forward wave and reflected wave separately abide by the rules of the principle of superposition? The answer is obviously "yes" because identical results are obtained using either method. It is rather ironic that you are accusing *me* of allowing only one valid method when I have repeatedly stated a flexible approach. Stated, yes. Practiced, no. I don't attack your methods, Gene, yet you repeatedly attack other valid methods that yield results identical to yours with less effort. You only pay lip service to your "flexible approach". Your practiced approach is pretty narrow-minded - your way or no way. Cecil, You have argued with me many times that my preference of analyzing standing waves is insufficient; that there is more information contained in the two component traveling waves than in the standing wave. Superposition says that is not correct, but I don't suppose you will accept that. However, you are in luck. This is Burger King Day. Have it your way. I think I will drop out of this thread. Feel free to call yourself the winner. Also, go right ahead and give interference the unit of watts/meter2 along with all of the other misinterpretations from your guru-authors. 73, Gene W4SZ |
Is the Superposition Principle invalid?
Cecil Moore wrote:
Richard Clark wrote: Did Karl Rove write that flip-flop for you? I'm afraid what you inferred is something that I didn't imply. At no time have I ever said or implied that scalar values can be superposed. I have said many times that they cannot be. Hecht's irradiance equations are valid for computing transmission line power. As far as I know, Dr. Best first applied the irradiance equations to transmission lines in his 2001 QEX article. Before that, I had never heard of the irradiance equation. Those threads with Dr. Best are archived by Google for the spring/summer of 2001. Cecil, I think you missed the first publication by a hundred years or more. 73, Gene W4SZ |
Is the Superposition Principle invalid?
On Sat, 31 Mar 2007 10:59:54 -0500, Cecil Moore
wrote: If you can prove that I ever said power can be superposed, I will send you a $100 bill. On Sat, 31 Mar 2007 01:20:35 GMT, Cecil Moore wrote: Ptotal = P1 + P2 + 2*SQRT(P1*P2)cos(A) |
Is the Superposition Principle invalid?
Gene Fuller wrote:
You have argued with me many times that my preference of analyzing standing waves is insufficient; that there is more information contained in the two component traveling waves than in the standing wave. Superposition says that is not correct, but I don't suppose you will accept that. No, you have it wrong. All I have ever done is defend my method of analyzing forward and reflected waves separately and then superposing while you have done your best to discredit that approach. You have said it is an invalid approach and tried to prove it by asserting that standings waves are completely different from traveling waves because the phase has disappeared and is gone forever. Your exact words: Phase is gone. Kaput. Vanished. Cannot be recovered. Never to be seen again. You cannot have it both ways, Gene. If, as you say, phase disappears from standing waves, then they are quite different from traveling waves (which they are). In a standing wave, the phase is constant. In a traveling wave the phase is changing. In a standing wave, the amplitude varies. In a traveling wave the amplitude is constant. In a lot of ways, standing waves and traveling waves are opposites. -- 73, Cecil http://www.w5dxp.com |
Is the Superposition Principle invalid?
Gene Fuller wrote:
I think you missed the first publication by a hundred years or more. Could be. Do you have a reference within the field of RF transmission lines? Dr. Best gives W. Johnson and Chipman as references but I don't recall seeing that equation in either book. -- 73, Cecil http://www.w5dxp.com |
Is the Superposition Principle invalid?
On Sat, 31 Mar 2007 17:13:27 GMT, Cecil Moore
wrote: that is not superposition. That is the way the power is calculated when two EM waves are superposed. Texans.... Did Karl Rove write that flip-flop for you? |
Is the Superposition Principle invalid?
"Cecil Moore" wrote in message ... Gene Fuller wrote: In a lot of ways, standing waves and traveling waves are opposites. 'standing' waves aren't waves at all, they are figments of your instrumentation. simple instrumentation (read light bulb and loop of wire) that was originally used to 'tune' antennas could detect only the peaks and dips of the superimposed forward and reflected currents... because these 'looked' like waves that stood still on the line when you plotted them they became known as 'standing' waves. and this also led to the horrible use of the 'standing wave ratio' as a measure of how good an antenna was matched to the feed line. all of this over the years has led hams to consider 'standing' waves as a real thing when it is really just a consequence of the superposition principle. We would all be much better off if someone many years ago had labeled the first 'SWR' meter in units of db for measuring return loss, or v-forward/v-reverse, or some other real physical unit. not that the meter would function any differently, but we would all be better off understanding what is really being measured! |
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