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#1
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Cecil Moore wrote:
Jim Kelley wrote: Evidently then you haven't adequately familiarized yourself with the nature of the equations that you use. The last term in the following power density equation is known as the "interference term". If it is positive, the interference is constructive. If it is negative, the interference is destructive. Ptotal = P1 + P2 + 2*SQRT(P1*P2)cos(A) Ptotal = 50w + 50w + 2*SQRT(2500)cos(45) Ptotal = 100w + 100w(0.7071) = 170.71w The interference term is 70.71 watts of constructive interference indicating that there must exist 70.71 watts of destructive interference elsewhere in the system. If the constructive interference happens at an impedance discontinuity in a transmission line in the direction of the load then there must be an equal magnitude of destructive interference toward the source. I share Tom B's suspicions. Since Cecil's analysis is leading to physical absurdities such as "watts of destructive interference" and vagueries such as "elsewhere in the system", it means that something is wrong. It could be either in his statement of the problem, the suitability of his chosen method of analysis, or the way Cecil is applying that method; or any combination of the above. Either way, it is Cecil's tarbaby, and nobody else needs to get stuck to it. The rest of us can continue to use the methods that have existed for a hundred years to account for the voltages, currents and phases at any location along a transmission line, and at any moment in time. -- 73 from Ian GM3SEK 'In Practice' columnist for RadCom (RSGB) http://www.ifwtech.co.uk/g3sek |
#2
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Ian White GM3SEK wrote:
I share Tom B's suspicions. Since Cecil's analysis is leading to physical absurdities such as "watts of destructive interference" and vagueries such as "elsewhere in the system", it means that something is wrong. Do you think Eugene Hecht of "Optics" fame is wrong? The unit of irradiance is "watts per unit area" and is NOT a "physical absurdity". Hecht uses "watts per unit area of destructive interference" quite often in his classic textbook. He says the spacial average of all interference must be zero so that the watts per unit area of constructive interference must be balanced by the watts per unit area of destructive interference elsewhere in order to satisfy the conservation of energy principle. Nothing is wrong, Ian, you are simply ignorant. I suggest you read the chapter on interference in "Optics" and try to comprehend it. It might do you good to learn something new. Either way, it is Cecil's tarbaby, and nobody else needs to get stuck to it. By all means don't try to learn and understand anything new. Newsgroup gurus apparently already know all there is to know and are therefore incapable of additional learning. The rest of us can continue to use the methods that have existed for a hundred years to account for the voltages, currents and phases at any location along a transmission line, and at any moment in time. And that is exactly why you don't understand reflected energy. An understanding of of interference can be had from a voltage analysis but you obviously have never performed such. It is common knowledge that V1^2+V2^2 is not equal to (V1+V2)^2. The question as to why they are not equal has been avoided even though it is easy to answer. If (V1+V2)^2 V1^2+V2^2 then the superposition of voltages has resulted in constructive interference. If (V1+V2)^2 V1^2+V2^2 then the superposition of voltages has resulted in destructive interference. Away from any source, constructive interference must always equal destructive interference to avoid violating the conservation of energy principle. At a Z0-match point, the reflected energy is redistributed back toward the load by constructive interference. An equal magnitude of destructive interference occurs toward the source thus eliminating reflected energy toward the source. It is the same way that thin-film non-reflective glass works. -- 73, Cecil http://www.w5dxp.com |
#3
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Cecil Moore wrote:
Ian White GM3SEK wrote: I share Tom B's suspicions. Since Cecil's analysis is leading to physical absurdities such as "watts of destructive interference" and vagueries such as "elsewhere in the system", it means that something is wrong. Do you think Eugene Hecht of "Optics" fame is wrong? The unit of irradiance is "watts per unit area" and is NOT a "physical absurdity". Hecht uses "watts per unit area of destructive interference" quite often in his classic textbook. He says the spacial average of all interference must be zero so that the watts per unit area of constructive interference must be balanced by the watts per unit area of destructive interference elsewhere in order to satisfy the conservation of energy principle. Nothing is wrong, Ian, you are simply ignorant. I suggest you read the chapter on interference in "Optics" and try to comprehend it. It might do you good to learn something new. Either way, it is Cecil's tarbaby, and nobody else needs to get stuck to it. By all means don't try to learn and understand anything new. Newsgroup gurus apparently already know all there is to know and are therefore incapable of additional learning. The rest of us can continue to use the methods that have existed for a hundred years to account for the voltages, currents and phases at any location along a transmission line, and at any moment in time. And that is exactly why you don't understand reflected energy. An understanding of of interference can be had from a voltage analysis but you obviously have never performed such. It is common knowledge that V1^2+V2^2 is not equal to (V1+V2)^2. The question as to why they are not equal has been avoided even though it is easy to answer. If (V1+V2)^2 V1^2+V2^2 then the superposition of voltages has resulted in constructive interference. If (V1+V2)^2 V1^2+V2^2 then the superposition of voltages has resulted in destructive interference. Away from any source, constructive interference must always equal destructive interference to avoid violating the conservation of energy principle. At a Z0-match point, the reflected energy is redistributed back toward the load by constructive interference. An equal magnitude of destructive interference occurs toward the source thus eliminating reflected energy toward the source. It is the same way that thin-film non-reflective glass works. Hiding behind authority again, Cecil? Using a few carefully edited quotes from Hecht doesn't prove anything. Ian hit the nail on the head: Vague philosophical arguments using second and third order abstractions that you can't prove to have any connection to reality aren't going to convince anyone. 73, Tom Donaly, KA6RUH |
#4
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Tom Donaly wrote:
Hiding behind authority again, Cecil? Using a few carefully edited quotes from Hecht doesn't prove anything. Ian hit the nail on the head: Vague philosophical arguments using second and third order abstractions that you can't prove to have any connection to reality aren't going to convince anyone. The void technical content of your objection is noted, Tom. Why don't you present some theory and math that prove me wrong instead of just waving your hands and uttering ad hominem attacks? -- 73, Cecil http://www.w5dxp.com |
#5
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Cecil Moore wrote:
Tom Donaly wrote: Hiding behind authority again, Cecil? Using a few carefully edited quotes from Hecht doesn't prove anything. Ian hit the nail on the head: Vague philosophical arguments using second and third order abstractions that you can't prove to have any connection to reality aren't going to convince anyone. The void technical content of your objection is noted, Tom. Why don't you present some theory and math that prove me wrong instead of just waving your hands and uttering ad hominem attacks? Because I don't have to prove you wrong, Cecil, you have to prove yourself right. So far, you've given us nothing but a few untestable assumptions and little else. A series of declarative sentences and obscure analogies does not a theory make. When you can work out 1. A logical framework, using vector calculus, in order to show us, logically, why we should pay attention to you, and 2. A series of easily replicated experiments that you've performed, and we can perform in turn, to see how well your ideas are supported by reality, then, maybe we should give you a hearing, but a series of unsupported statements followed by a barrage of objection stoppers just isn't good enough. This may be fun for you, but, for anyone dealing with you, it's just a waste of time. 73, Tom Donaly, KA6RUH |
#6
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Tom Donaly wrote:
Because I don't have to prove you wrong, Cecil, you have to prove yourself right. Sorry, I don't, Tom. Hecht, Born and Wolf have already proven those fundamentals of physics to be true. You have to prove me, Hecht, and Born and Wolf wrong. And of course, you will mount every diversion known to man to avoid facing the technical facts as explained by Hecht, Born & Wolf, Melles-Groit, and the FSU web page. -- 73, Cecil http://www.w5dxp.com |
#7
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Cecil Moore wrote:
Tom Donaly wrote: Because I don't have to prove you wrong, Cecil, you have to prove yourself right. Sorry, I don't, Tom. Hecht, Born and Wolf have already proven those fundamentals of physics to be true. You have to prove me, Hecht, and Born and Wolf wrong. And of course, you will mount every diversion known to man to avoid facing the technical facts as explained by Hecht, Born & Wolf, Melles-Groit, and the FSU web page. Cecil, Have you ever seriously read a copy of Born and Wolf? I have a couple of editions right beside me, and I just read through the chapter on interference again. You would not recognize any of your claims in that chapter. B&W never mention "interaction" at all, not even once. They completely avoid all of the elementary Hecht-like handwaving. They don't even mention energy. It is simply not necessary to do so. Classical physics is quite self consistent. Assuming one does not make an error in the setup of the problem (perhaps a poor assumption) or in the math, the energy will always come out correctly. It is not an independent consideration. It is possible to solve problems entirely in a framework of energy analysis, as I have pointed out previously. Much of quantum mechanics is done that way. However, energy consideration are not more or less important than any other formulation. Use the method that is easiest. In this case the problem is overspecified with impossible conditions. Tom, Tom, and Roy have pointed out the difficulty. I agree with them. You have specified voltage, current, and impedance at the same time. These items cannot be arbitrary and independent. You got it wrong. Try again. 73, Gene W4SZ |
#8
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Cecil Moore wrote:
Tom Donaly wrote: Because I don't have to prove you wrong, Cecil, you have to prove yourself right. Sorry, I don't, Tom. Hecht, Born and Wolf have already proven those fundamentals of physics to be true. You have to prove me, Hecht, and Born and Wolf wrong. And of course, you will mount every diversion known to man to avoid facing the technical facts as explained by Hecht, Born & Wolf, Melles-Groit, and the FSU web page. Sorry Cecil, quoting sources you can't possibly understand, yourself, won't prove anything. Let me know if you ever plan on doing it right. 73, Tom Donaly, KA6RUH |
#9
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On Nov 17, 3:50 pm, Cecil Moore wrote:
snip Sorry, I don't, Tom. Hecht, Born and Wolf have already proven those fundamentals of physics to be true. You have to prove me, Hecht, and Born and Wolf wrong. They have. But you twisted their argument. Therefore, they are not saying what you think they are saying. What they are saying is well proven. What you think they are saying is not. Big difference there. |
#10
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On Nov 17, 11:46 am, Cecil Moore wrote:
Tom Donaly wrote: Hiding behind authority again, Cecil? Using a few carefully edited quotes from Hecht doesn't prove anything. Ian hit the nail on the head: Vague philosophical arguments using second and third order abstractions that you can't prove to have any connection to reality aren't going to convince anyone. The void technical content of your objection is noted, Tom. Why don't you present some theory and math that prove me wrong instead of just waving your hands and uttering ad hominem attacks? That's not an ad hominem attack, it's a real critique of your reasoning. Ad hominem attacks are attacks on you, the person, not on your argument. Not once was he attacking you, the person, above. He was attacking your reasoning. Appeal to authority = logical fallacy. Fact. Not providing any physical empricial evidence to back your claim, or theory backed by such evidence, when talking about physical, empiricial stuff = worthless argument. Fact. So your argument above contains an amazing 0% worth of valid reasoning. Evidence for his claim already exists. You can find it with any good research into known physics. Look up all the famous experiments that have been done to derive electromagnetic theory, and see all the proofs. So the evidence for his claim is already on the table. You now need to provide evidence and logic to refute it, if you want to have a case. I'd say his critique is 99% accurate. The last 1% is because he thinks you need to "convince" people, which is not quite so as you have no direct power to change others' beliefs: they must first want to be convinced themselves. What you need is objective evidence and logical basis for your arguments, which seems 100% lacking. That last 1% is not because your argument is good. |
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