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On Mar 26, 11:43*am, Cecil Moore wrote:
Keith Dysart wrote: You should consider that perhaps your inability to identify the element and its energy function really calls into question your concept of "interference energy" being stored and returned later. I have previously multiple times identified the element as the network reactance and pointed you to a reference. Indeed you have, but you have not answered the second clause in the question. Until you can provide the energy flow function of the element you claim is storing the energy there is no reason to believe that it is the element. Can it be that hard to provide the function? Or perhaps the element you have identified does not have the appropriate energy flow function? (It doesn't.) I suppose, if you want to rename superposition as interference. But none of my basic circuit theory books use the word interference when discussing superposition. I'm not renaming superposition. I'm using the definition of "interference" provided by Hecht in "Optics". Superposition can occur with or without interference. The present discussion is about superposition with interference present. Interference is just a word which identifies the special case of superposition that is under discussion. Sure. OK. If the powers imputed to the constituent voltages of superposition did represent actual energy flows, then you would be able to simply add them to get the total flow, since energy can not be created or destroyed. There you go again, confusing power and energy. There is *NO* conservation of power principle. Conservation of energy arises from the inability to create or destroy energy. Energy can only flow from one element to another. This requires that the sum of the flows out of the elements providing energy equals the sum of the flows into the elements receiving the energy. Choose whatever name you want for it, but this is the reason that Ps(t) must equal Prs(t) + Pg(t) And it is just as powerful a concept as conservation of energy since it follows directly from that principle. The fact that a correction needs to be applied when adding them is proof that they can not be actual energy flows. There is *NO CORRECTION TO THE ENERGY COMPONENTS*. There is only a correction to the power components to account for the time the energy is being stored before it is dissipated. You really need to learn the difference between energy and power. And we are still waiting for the energy flow function for the element that you claim is doing the storing of the energy. You should take this as a reason to call into question the whole idea that this "interference energy" is an actual energy flow. Your argument is not with me - it is with experts like Eugene Hecht. Please read his *57 page* Chapter 9 on "Interference" and then get back to us. With 57 pages devoted to the subject, Hecht doesn't seem to share your problems with it. Actually, we are debating *your* interpretation. If *your* "wave reflection model" includes the idea that Pref always represents an actual energy flow, then *your* "wave reflection model" is wrong. When you can prove that reflected traveling waves contain zero energy, i.e. that ExH=0, I will accept your assertion but not before. You see. There you go again. Refusing to set aside an assumption, even temporarily. It does make it difficult to explore alternate explanations if you stop before you start. Exactly how does a TDR detect zero energy? Does it detect energy? Are you sure? Or is it voltage that it detects? Or current? In fact, the thing you need to do is forget the transmission line and deal with light waves encountering boundaries with different indexes of refraction. The problem is identical, but dealing with light out in the open prohibits you from pushing your mashed-potatoes energy religion. No. Light, in a 3 dimensional space and at such high frequency makes the math and measurements so complicated that it is extremely difficult to follow the energy. Much better to learn from a one-dimensional transmission line and then see if the solutions also apply to light. Which they do. But the analysis is tractable in a transmission line. ...Keith |
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