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#1
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The folks on this newsgroup who argue that the concept
of reflected energy is invalid and only standing waves exist seem forced to abandon the principle of superposition which states that a system can be analyzed by considering the components separately and adding them later. So does the Superposition Principle give us permission to analyze the forward wave and the reflected wave separately, or not? An S-Parameter analysis obviously considers the forward wave and reflected wave separately. Is such an analysis invalid or simply honoring the rules set forth in the Principle of Superposition? -- 73, Cecil http://www.w5dxp.com |
#2
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The only dispute about superposition that I have observed is
that it does not apply to the computation of power which can easily be demonstrated by the most trivial of examples. Superposition of voltages and currents seems to be quite accepted and is an excellent tool for circuit and transmission line analysis. ....Keith |
#3
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Keith Dysart wrote:
Superposition of voltages and currents seems to be quite accepted and is an excellent tool for circuit and transmission line analysis. Do you really expect us to believe that those voltages and currents can exist without energy? Maybe an example of EM voltage and EM current existing without ExB joules/sec would help. -- 73, Cecil http://www.w5dxp.com |
#4
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Cecil Moore wrote:
Keith Dysart wrote: Superposition of voltages and currents seems to be quite accepted and is an excellent tool for circuit and transmission line analysis. Do you really expect us to believe that those voltages and currents can exist without energy? Maybe an example of EM voltage and EM current existing without ExB joules/sec would help. Cecil, If you actually understood the way the Poynting Theorem works, you would not waste your time worrying about ExB. It provides no useful information in support of your wacky energy flow ideas. Hint: Although the Poynting vector is defined as ExB, this is only a flux. If you are interested in information relating to conservation of energy it is necessary to integrate over a closed volume. The total integral of the flux over the surface of that volume is then equal to the rate of change of energy within the volume. In your favorite example, where energy is coursing back and forth along the two directions of a lossless transmission line, this integral over any volume you choose will be exactly zero. Even if you could separate the forward and reverse waves the Poynting vector energy calculation would still come out to exactly zero for each component as well as the sum of the components. The same amount of energy exits the integration volume as enters it. Only in the case where there is a source or where there is loss will the Poynting energy calculation yield a non-zero value. If you want further information you can check advanced textbooks such as "Classical Electrodynamics" by Jackson or "Principles of Optics" by Born and Wolf. I am sure there are many other references, but those are the two I check almost daily. 73, Gene W4SZ |
#5
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Gene Fuller wrote:
Even if you could separate the forward and reverse waves the Poynting vector energy calculation would still come out to exactly zero for each component as well as the sum of the components. Forward and reflected waves are easily separated by a circulator so their existence is difficult to deny. So net energy equals zero? So what! We are NOT discussing net energy here. We are discussing the forward Poynting vector and the reflected Poynting vector as described in "Fields and Waves ...", by Ramo and Whinnery. The Superpositon Principle gives us permission to do so and the final result is identical to any other valid analysis. Why are you guys so irrationally afraid of the wave reflection model? What is your ulterior motive in denying the existence of reflected waves during steady-state? It has seemingly turned into a steady-state religion administered by the steady-state high priests. -- 73, Cecil http://www.w5dxp.com |
#6
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On Mar 30, 8:54 pm, Cecil Moore wrote:
Gene Fuller wrote: Even if you could separate the forward and reverse waves the Poynting vector energy calculation would still come out to exactly zero for each component as well as the sum of the components. Forward and reflected waves are easily separated by a circulator so their existence is difficult to deny. You always seem to like changing the experiment and then not acting surprised when you get different results. Odd is it not? ....Keith |
#7
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Cecil Moore wrote:
Gene Fuller wrote: Even if you could separate the forward and reverse waves the Poynting vector energy calculation would still come out to exactly zero for each component as well as the sum of the components. Forward and reflected waves are easily separated by a circulator so their existence is difficult to deny. So net energy equals zero? So what! We are NOT discussing net energy here. We are discussing the forward Poynting vector and the reflected Poynting vector as described in "Fields and Waves ...", by Ramo and Whinnery. The Superpositon Principle gives us permission to do so and the final result is identical to any other valid analysis. Why are you guys so irrationally afraid of the wave reflection model? What is your ulterior motive in denying the existence of reflected waves during steady-state? It has seemingly turned into a steady-state religion administered by the steady-state high priests. Cecil, I guess I was not quite clear. I don't care if you are talking net energy, gross energy, with or without circulators, or anything else. As long as there are no sources or sinks of energy in the region of interest, the Poynting vector tells you absolutely nothing about energy balance or conservation of energy. You could have a completely incorrect analysis of forward and reverse waves, and the Poynting analysis will not reveal the error. The required integral will still come out to exactly zero. Radio amateurs and radio charlatans love to talk about Poynting vectors, but it is obvious that most of those folks simply don't understand the full picture. Just forget about ExB (or more commonly, ExH). It is completely useless in support for the typical RRAA discussions. 73, Gene W4SZ |
#8
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![]() "Cecil Moore" wrote in message ... Keith Dysart wrote: Superposition of voltages and currents seems to be quite accepted and is an excellent tool for circuit and transmission line analysis. Do you really expect us to believe that those voltages and currents can exist without energy? Maybe an example of EM voltage and EM current existing without ExB joules/sec would help. -- and yet again you cross up terms... voltage and current are on wires. E and B are fields between or outside of wires. while they can be handled similarly they should not be compared directly as you are asking. and yes, there is at least one very good example of a voltage without ExB... just charge a balloon up with some stray electrons and leave it alone long enough to reach steady state... voila, E with no B. Please do this experiment and reply when you have truly reached steady state. |
#9
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![]() "Dave" wrote ... "Cecil Moore" wrote Keith Dysart wrote: Superposition of voltages and currents seems to be quite accepted and is an excellent tool for circuit and transmission line analysis. Do you really expect us to believe that those voltages and currents can exist without energy? Maybe an example of EM voltage and EM current existing without ExB joules/sec would help. -- and yet again you cross up terms... voltage and current are on wires. E and B are fields between or outside of wires. while they can be handled similarly they should not be compared directly as you are asking. and yes, there is at least one very good example of a voltage without ExB... just charge a balloon up with some stray electrons and leave it alone long enough to reach steady state... voila, E with no B. Please do this experiment and reply when you have truly reached steady state. I've been waiting for someone to open the door so that Art could take part in this thread.Dave, your use of the balloon as an example will do the job nicely. Art will now be able to contribute quite a lot, although I'm not sure that he ever reaches steady state! Mike W5CHR |
#10
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On Mar 30, 12:44 pm, Cecil Moore wrote:
The folks on this newsgroup who argue that the concept of reflected energy is invalid and only standing waves exist seem forced to abandon the principle of superposition which states that a system can be analyzed by considering the components separately and adding them later. So does the Superposition Principle give us permission to analyze the forward wave and the reflected wave separately, or not? An S-Parameter analysis obviously considers the forward wave and reflected wave separately. Is such an analysis invalid or simply honoring the rules set forth in the Principle of Superposition? -- 73, Cecil http://www.w5dxp.com We have done extensive research here at Muppet Labs, and we can assure you, the Superstition Principle is alive and well, especially with regard to radio amateurs' analyses of transmission lines. From the Labs, Dr. Honeydew |
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