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#1
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On Fri, 25 Jan 2008 04:13:56 GMT, Gene Fuller
wrote: The irradiance equations work fine for detailing the external effects, but they don't give any hint of what happens inside the interface. Think Thevenin. Hi Gene, Cecil isn't going to rise far enough to catch a breath of air on this one. You may as well drop the shoe for lurkers (and me). I don't see the connection to Thevenin (specifically); but, for me, inside the interface we can draw the correlation of TIR failure (the chapter that Cecil hasn't drug across the Xerox yet) to evanescent waves to near fields to how antennas work. 73's Richard Clark, KB7QHC |
#2
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Richard Clark wrote:
inside the interface we can draw the correlation of TIR failure (the chapter that Cecil hasn't drug across the Xerox yet) to evanescent waves ... In the Ramo & Whinnery discussion of the distributed network wave reflection model, I don't recall them mentioning evanescent waves. Perhaps you could point me to the correct page. -- 73, Cecil http://www.w5dxp.com |
#3
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Richard Clark wrote:
On Fri, 25 Jan 2008 04:13:56 GMT, Gene Fuller wrote: The irradiance equations work fine for detailing the external effects, but they don't give any hint of what happens inside the interface. Think Thevenin. Hi Gene, Cecil isn't going to rise far enough to catch a breath of air on this one. You may as well drop the shoe for lurkers (and me). I don't see the connection to Thevenin (specifically); but, for me, inside the interface we can draw the correlation of TIR failure (the chapter that Cecil hasn't drug across the Xerox yet) to evanescent waves to near fields to how antennas work. 73's Richard Clark, KB7QHC Richard, Perhaps I have misread the message traffic for the past 5 years or so, but it appears that most of the heat over wave reflections is about what happens during the reflections, including detailed concern about energy and momentum. The issue is never (or at least rarely) about what one would find in external measurements on the transmission line (or free space, as the case may be). This goes back at least to the battles between Steve Best and Walt Maxwell. (I pointed out that both models were correct, although they arrived at the proper conclusions in quite different manners.) More recently, we have great battles over interferometers and cute Java demonstrations. Absolutely nobody would question the overall wave superposition principles shown in the FSU Magnet Lab Java applet. Most people know how to add sine waves, or at least they can look up the technique. The entire debate usually comes down to arguments about how that addition actually takes place physically. This is what I am calling the Thevenin equivalent. In particular, the external observations are unambiguous and non-controversial. The standard models and equations give all the correct answers for the observables. At the same time those models and equations say nothing about how the two FSU input waves suddenly jump together to superpose and interfere. Do the waves "cancel"? Is there a requirement for auxiliary waves that are created and immediately destroyed? How does one account for missing momentum? That attempted under-the-hood analysis with tools suitable only for external description drives my suggestion of the parallel to the Thevenin model. 73, Gene W4SZ |
#4
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![]() "Gene Fuller" wrote in message ... That attempted under-the-hood analysis with tools suitable only for external description drives my suggestion of the parallel to the Thevenin model. the Thevenin (or Norton) equivalent circuits i believe are rarely used in analysing transmission lines and antennas, they are more commonly used for breaking down lumped circuits and networks. In fact Jackson doesn't even have them in the index of Classical Electrodynamics 2nd ed... It is mentioned in Ramo,Whinnery, and VanDuzer Fields and Waves in Communications Electronics in the index, but in scanning the 2 chapters it is listed for i don't see an actual reference to Thevenin... one of those chapters deals with microwave networks and components and does break them down into lumped equivalents so that is probably where the reference belongs, the other chapter wouldn't seem to be related so may be a typo. The problem with the use of the Thevenin or Norton equivalents is that you have to exactly respect the limitations in order to use them properly... that is the part of the circuit being replaced with the 'black box' equivelent must be linear and time invariant, and the analysis is only valid for sinusoidal steady state. This last one is what gets everyone, it eliminates all the transients and makes it impossible to use to figure out what happens when that first reflection physically happens... you have to ignore all that stuff and only consider the steady state solution. We have seen that some posters on here don't want to accept those limitations as they try to figure out 'what is in' the black box equivalent... this is of course a non-sequitar as the whole purpose of replacing a part of a circuit with the Thevenin equivalent is to simplify the problem so you don't have to know what is inside and can focus on the rest of the problem. So any attempts to measure the length of the line in the black box, or figure out if it is a lumped circuit break the rules for using it in the first place. |
#5
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Dave wrote:
So any attempts to measure the length of the line in the black box, or figure out if it is a lumped circuit break the rules for using it in the first place. Ramo and Whinnery warn against even trying to calculate the power dissipation inside the black box - something that is regularly attempted on this newsgroup. The calculated power dissipation inside a Thevenin equivalent and a Norton equivalent can result in an infinite difference even though they are both "equivalent". -- 73, Cecil http://www.w5dxp.com |
#6
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Dave wrote:
. . . The problem with the use of the Thevenin or Norton equivalents is that you have to exactly respect the limitations in order to use them properly... that is the part of the circuit being replaced with the 'black box' equivelent must be linear and time invariant, and the analysis is only valid for sinusoidal steady state. This last one is what gets everyone, it eliminates all the transients and makes it impossible to use to figure out what happens when that first reflection physically happens... you have to ignore all that stuff and only consider the steady state solution. . . . That's not true. A Thevenin or Norton equivalent generator can produce a voltage or current, respectively, which is any function of time. This of course includes single pulses and pulsed sinusoids, as well as an infinite number of others. Roy Lewallen, W7EL |
#7
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One more note about Thevenin and Norton equivalent circuits:
In spite of the frequency with which this topic appears on this newsgroup, I don't recall seeing anyone actually use a Thevenin or Norton equivalent circuit in illustrating a point on this newsgroup. I don't believe I ever have. Roy Lewallen, W7EL |
#8
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Roy Lewallen wrote:
I don't recall seeing anyone actually use a Thevenin or Norton equivalent circuit in illustrating a point on this newsgroup. I don't believe I ever have. Some of your example sources walk and quack like a Thevenin equivalent circuit. :-) -- 73, Cecil http://www.w5dxp.com |
#9
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Cecil Moore wrote:
Roy Lewallen wrote: I don't recall seeing anyone actually use a Thevenin or Norton equivalent circuit in illustrating a point on this newsgroup. I don't believe I ever have. Some of your example sources walk and quack like a Thevenin equivalent circuit. :-) While some of yours just walk and quack. 73, Tom Donaly, KA6RUH |
#10
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Tom Donaly wrote:
Cecil Moore wrote: Roy Lewallen wrote: I don't recall seeing anyone actually use a Thevenin or Norton equivalent circuit in illustrating a point on this newsgroup. I don't believe I ever have. Some of your example sources walk and quack like a Thevenin equivalent circuit. :-) While some of yours just walk and quack. I need to address this, because Cecil has frequently declared all combinations of an ideal voltage source and resistor as a "Thevenin equivalent" as I see he's implied here once again. He has claimed this relieves him of the nagging problem of accounting for such things as power dissipation in a source resistance. I'll explain how this characterization and claim are false. I often use an ideal voltage source in series with a resistance for illustration of transmission line phenomena. This very simple circuit allows complete analysis without the unnecessary clutter of more complicated circuits. You'll find this technique very widely used in elementary electrical circuits texts for the same reason, and well before the introduction of Thevenin or Norton equivalent circuits. But these aren't Thevenin equivalent circuits. Let's review what a Thevenin equivalent is. I'll quote here from Pearson and Maler, _Introductory Circuit Analysis_, but you can find an equivalent definition in any elementary circuit analysis text. "A theorem named after Leon Thevenin is often useful in reducing a complex circuit to a simpler one. This theorem, which is proved in Appendix E, may be stated as follows. "Any one terminal pair (one port) network which is linear and which may have any number of independent and dependent transform sources (as long as the dependent sources are not functions of quantities outside the network) may be replaced by a transform voltage source in series with a transform impedance. The transform voltage source is the voltage across the terminal pair when these are open circuited and the transform impedance is the ratio of this transform voltage to the transform current which flows between these terminals when short circuited." Pay particular attention to the first sentence of the quote. A Thevenin equivalent circuit is a reduction of a circuit to a simpler one. If you have a complex circuit containing multiple components and reduce it to a Thevenin equivalent, the theory says that the equivalent circuit looks just the same to the outside world as the original. Because the Thevenin equivalent could represent any number of very different original circuits, you can't determine anything at all about the internal workings of the original, such as power dissipation, by looking at the Thevenin equivalent. That's a completely valid statement which has frequently been misapplied. A circuit consisting of a perfect voltage source and an impedance isn't a Thevenin equivalent circuit unless it's used to replace a more complex circuit. If it's used simply to represent those two circuit elements and none others, then all the conclusions we draw from the circuit, including dissipation in the source and impedance, are and must be valid. For that matter, the circuit analysis for a Thevenin equivalent must obey all rules and laws, including source and impedance voltage, current, and power. We only have to realize that any quantities within an equivalent circuit aren't necessarily the same as those of the circuit being replaced by the equivalent. Declaring all circuits consisting of an ideal voltage or current source and impedance to be a Thevenin or Norton equivalent is wrong. Declaring that Thevenin or Norton equivalent circuits don't have to obey fundamental rules of circuit analysis is also wrong. Continuing to do so after more than ample evidence has been presented to the contrary is dishonest. Roy Lewallen, W7EL |
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