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On Jun 8, 5:57*am, Keith Dysart wrote:
As soon as one assigns tangible energy to the reflected wave, it becomes reasonable to ask for an accounting of this energy and the model is incapable of properly accounting for the energy. Then one is using the wrong model which is typical of many RF engineers. Optical physicists have been accounting for reflected energy for decades. That one is ignorant of where reflected energy goes is not a good reason to abandon the law of physics that says that *ALL* EM waves contain ExH energy, including reflected EM waves. EM waves cannot exist without ExH energy so you might as well say that reflected waves do not exist at all because that is the logical conclusion based on your false premises. Optical physicists have been aware of the power-density/interference equation for a long, long time. It is covered in any good reference book on optics, e.g. by Hecht and by Born and Wolf. I have posted the details - why do choose to remain ignorant? At least take time to comprehend the technical information available from the field of optics and report back to us why many decades of that EM wave knowledge is wrong. Here is the equation that explains where the reflected energy goes. All you have to to is track the energy back in time. Ptot = P1 + P2 + 2*SQRT(P1*P2)*cos(A) where A is the angle between the two voltages. The last term is known as the "interference term". When two coherent, collimated, signals interfere while traveling in the same direction in a transmission line: If they are 90 degrees apart, there is zero interference and the I and Q components are easily recovered. If they are less than 90 degrees apart, the interference is constructive and the phasor superposition of the two waves results in *more power in the total superposed wave* than in the arithmetic sum of the two powers. The extra energy has to come from somewhere. In the absence of a local source, the extra energy has to come from destructive interference in the opposite direction, e.g. at a Z0- match. If they are between 90 degrees and 180 degrees apart, the interference is destructive and the phasor superposition of the two waves results in *less power in the total superposed wave* than in the arithmetic sum of the two waves. The "left-over" energy has to go somewhere so it has to be delivered in the opposite direction to the area that supports constructive interference. Here is what Hecht said: "Briefly then, optical (EM wave) interference corresponds to the interaction of two or more (EM) lightwaves yielding a resultant irradiance (power density) that deviates from the sum of the component irradiances." Hecht's statement hints to where the reflected energy goes. In the case of wave cancellation at a Z0-match that eliminates ExH reflected energy flowing toward the load, all of the ExH reflected energy is recovered and redistributed back toward the load. Following this weakness back through the model, the root cause is the attempt to assign tangible energy to the reflected wave. Think of it as a reflected voltage or current wave and all will be well, but assign power to it and eventually incorrect conclusions will be drawn. Only if the model is inadequate. Optical physicists assign tangible energy to reflected waves all the time. Many are probably reading these postings and laughing at the collective ignorance about EM waves. Take a look at this web page: http://www.teachspin.com/instruments...eriments.shtml Scroll down to, "Using Dielectric Beamsplitters to find the "missing energy" in destructive interference". There it is, all spelled out for you - where the reflected energy goes. Reflected energy is never actually missing - what are missing are a few of the brain cells that need to be used to think about reflected energy. :-) For those who understand this, and know that "where did the reflected energy go?" is an invalid question, using the power model within its limits will not cause difficulties. But for those who are not careful, great difficulties arise and a lot of fancy dancing is offered to work around the difficulties, unsuccessfully. Yes, throughout history, ignorant people have brought great difficulties upon themselves because they refuse to alleviate their ignorance. Those who refuse to learn from their mistakes are destined to repeat those same mistakes. And you were making these exact same mistakes years ago. You can lead a horse to water ... In his Nov/Dec 2001 QEX article, Dr. Best attempted to explain where the reflected energy goes. Shackled by ignorance, he got many things wrong e.g. phantom EM waves that exist without energy. But the article alludes to the conceptual path that needs to be taken to alleviate that ignorance. In "Wave Mechanics of Transmission Lines, Part 3", Dr. Best published the above power-density/interference equation although he ignorantly asserted on this newsgroup that interference did not exist. Interference resulting from superposition at an impedance discontinuity is the key missing link in explaining everything that happens to the energy in a transmission line including Roy's food-for- thought article. Why is there so much reluctance to adopt a proven law of EM wave physics from the field of optics? -- 73, Cecil, w5dxp.com |
#2
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On Jun 8, 2:14*pm, Cecil Moore wrote:
On Jun 8, 5:57*am, Keith Dysart wrote: As soon as one assigns tangible energy to the reflected wave, it becomes reasonable to ask for an accounting of this energy and the model is incapable of properly accounting for the energy. Then one is using the wrong model which is typical of many RF engineers. Optical physicists have been accounting for reflected energy for decades. That one is ignorant of where reflected energy goes is not a good reason to abandon the law of physics that says that *ALL* EM waves contain ExH energy, including reflected EM waves. EM waves cannot exist without ExH energy so you might as well say that reflected waves do not exist at all because that is the logical conclusion based on your false premises. Optical physicists have been aware of the power-density/interference equation for a long, long time. It is covered in any good reference book on optics, e.g. by Hecht and by Born and Wolf. I have posted the details - why do choose to remain ignorant? At least take time to comprehend the technical information available from the field of optics and report back to us why many decades of that EM wave knowledge is wrong. Here is the equation that explains where the reflected energy goes. All you have to to is track the energy back in time. Ptot = P1 + P2 + 2*SQRT(P1*P2)*cos(A) where A is the angle between the two voltages. The last term is known as the "interference term". When two coherent, collimated, signals interfere while traveling in the same direction in a transmission line: If they are 90 degrees apart, there is zero interference and the I and Q components are easily recovered. If they are less than 90 degrees apart, the interference is constructive and the phasor superposition of the two waves results in *more power in the total superposed wave* than in the arithmetic sum of the two powers. The extra energy has to come from somewhere. In the absence of a local source, the extra energy has to come from destructive interference in the opposite direction, e.g. at a Z0- match. If they are between 90 degrees and 180 degrees apart, the interference is destructive and the phasor superposition of the two waves results in *less power in the total superposed wave* than in the arithmetic sum of the two waves. The "left-over" energy has to go somewhere so it has to be delivered in the opposite direction to the area that supports constructive interference. Here is what Hecht said: "Briefly then, optical (EM wave) interference corresponds to the interaction of two or more (EM) lightwaves yielding a resultant irradiance (power density) that deviates from the sum of the component irradiances." Hecht's statement hints to where the reflected energy goes. In the case of wave cancellation at a Z0-match that eliminates ExH reflected energy flowing toward the load, all of the ExH reflected energy is recovered and redistributed back toward the load. Following this weakness back through the model, the root cause is the attempt to assign tangible energy to the reflected wave. Think of it as a reflected voltage or current wave and all will be well, but assign power to it and eventually incorrect conclusions will be drawn. Only if the model is inadequate. Optical physicists assign tangible energy to reflected waves all the time. Many are probably reading these postings and laughing at the collective ignorance about EM waves. Take a look at this web page: http://www.teachspin.com/instruments...eriments.shtml Scroll down to, "Using Dielectric Beamsplitters to find the "missing energy" in destructive interference". There it is, all spelled out for you - where the reflected energy goes. Reflected energy is never actually missing - what are missing are a few of the brain cells that need to be used to think about reflected energy. :-) For those who understand this, and know that "where did the reflected energy go?" is an invalid question, using the power model within its limits will not cause difficulties. But for those who are not careful, great difficulties arise and a lot of fancy dancing is offered to work around the difficulties, unsuccessfully. Yes, throughout history, ignorant people have brought great difficulties upon themselves because they refuse to alleviate their ignorance. Those who refuse to learn from their mistakes are destined to repeat those same mistakes. And you were making these exact same mistakes years ago. You can lead a horse to water ... In his Nov/Dec 2001 QEX article, Dr. Best attempted to explain where the reflected energy goes. Shackled by ignorance, he got many things wrong e.g. phantom EM waves that exist without energy. But the article alludes to the conceptual path that needs to be taken to alleviate that ignorance. In "Wave Mechanics of Transmission Lines, Part 3", Dr. Best published the above power-density/interference equation although he ignorantly asserted on this newsgroup that interference did not exist. Interference resulting from superposition at an impedance discontinuity is the key missing link in explaining everything that happens to the energy in a transmission line including Roy's food-for- thought article. Why is there so much reluctance to adopt a proven law of EM wave physics from the field of optics? -- 73, Cecil, w5dxp.com interference is nothing but what you observe after you superimpose two or more waves. the general principle at work is superposition, giving it more specific names like destructive or constructive interference is just describing the result that you observe. |
#3
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On Tue, 8 Jun 2010 03:57:44 -0700 (PDT), Keith Dysart
wrote: But all of these papers have the appropriate discipline Hi Keith, But? A pejorative tied to the phrase "appropriate discipline?" What an interesting segue into denial. Quite original. and do not ask the question "where does the reflected energy go?" OK, their having stated explicitly that, and having it in black and white from competent authority is just as insufficient as Walt's method and data. Bench experience to this issue makes a lot of armchair theorists uncomfortable. To your credit, you responded to the witness of evidence. It's like the rest threw you under the bus. 73's Richard Clark, KB7QHC |
#4
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On Tue, 8 Jun 2010 03:57:44 -0700 (PDT), Keith Dysart
wrote: Just for fun, here is a simple example. -sigh- No wonder traffic dies here. This stuff is a wheeze: The source is no longer providing energy, If it had been a battery instead, then the battery would have as much energy as it had the moment before - (minus) the few coulombs taken during the short step interval. Stick with the topic, draw from authorities (that are agreeable to all parties) that demonstrate the concepts at the bench using the ordinary tools of the trade (well, ordinary for a Metrologist, perhaps, but is increasingly available at Ham fests) on actual equipment (what we actually use in the Shack). 73's Richard Clark, KB7QHC |
#5
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On Jun 8, 10:57*am, Keith Dysart wrote:
On Jun 8, 3:47*am, Richard Clark wrote: On Sun, 6 Jun 2010 14:21:16 -0700 (PDT), Keith Dysart wrote: The 100W forward and 50W reflected have no relation to actual powers From MECA, makers of Isolators - their application: The isolator is placed in the measurement path of a test bench between a signal source and the device under test (DUT) so that any reflections caused by any mismatches will end up at the termination of the isolator and not back into the signal source. This example also clearly illustrates the need to be certain that the termination at the isolated port is sufficient to handle 100% of the reflected power should the DUT be disconnected while the signal source is at full power. If the termination is damaged due to excessive power levels, the reflected signals will be directed back to the receiver because of the circular signal flow. ... MECA offers twenty-four models of isolators and circulators in both N and SMA-female connectors with average power ratings from 2 - 250 watts. Good day Richard, You have located several examples from reputable vendors where the behaviour of directional couplers is described in terms of power in a forward and reflected wave. This model of behaviour works within its limits and allows for convenient computation and prediction of the behaviour. But all of these papers have the appropriate discipline and do not ask the question "where does the reflected energy go?" which is good, for this exceeds the limits of the model. As soon as one assigns tangible energy to the reflected wave, it becomes reasonable to ask for an accounting of this energy and the model is incapable of properly accounting for the energy. Following this weakness back through the model, the root cause is the attempt to assign tangible energy to the reflected wave. Think of it as a reflected voltage or current wave and all will be well, but assign power to it and eventually incorrect conclusions will be drawn. For those who understand this, and know that "where did the reflected energy go?" is an invalid question, using the power model within its limits will not cause difficulties. But for those who are not careful, great difficulties arise and a lot of fancy dancing is offered to work around the difficulties, unsuccessfully. Just for fun, here is a simple example. 100V DC source, connected to a 50 ohm source resistor, connected to 50 ohm transmission line, connected to a 50 ohm load resistor. Turn on the source. A voltage step propagates down the line to the load. The impedances are matched, so there are no reflections. The source provides 100W. 100W is dissipated in the source resistor. 100W is dissipated in the load resistor. Energy moves along the transmission line from the source to the load at the rate of 50W. All is well. lets see, when steady state is reached you have 100v through 2 50ohm resistors in series i assume since you say the source provides 100w... that would mean the current is 1a and each resistor is dissipating 50w. Disconnect the load. A voltage step propagates back along the line from the load to the source. In front of this step current continues to flow. Behind the step, the current is 0. When the step reaches the source there is no longer any current flowing. The source is no longer providing energy, the source resistor is dissipating nothing, and neither is the load resistor. Proponensts of the power model claim that energy is still flowing down the line, being reflected from the open end and flowing back to the source. Since the source is clearly no longer providing energy, great machinations are required to explain why the reflected 'energy' is re-reflected to provide the forward 'energy'. why would there be power flowing down the line, in this simple dc case once the voltage in the line equals the source voltage, which in this perfect case would be after one transient down the line, all is in equilibrium... and art is happy. HOWEVER!!! replace that dc source with an AC one and everything changes, now there are forward and reflected waves continuously going down the line and back. your DC analysis is no longer valid as it is a very special case. now you have to go back to the general equations and use the length of the line to transform the open circuit back to the source based on the length of the line in wavelengths... for the specific case of the line being 1/4 wave long the open now looks like a short and the current in the source resistor doubles, now making it dissipate 100w! But really, does anyone believe that a length of transmission line, charged to 100V voltage with zero current flowing, is actually simultaneously transporting energy in both directions? For even more fun, replace the ideal conductors in the transmission line with some lossy conductors. How much of the reflected and re-reflected energy flowing up and down the line will be dissipated in the conductors? Remember that the current is zero, everywhere along the line. ...Keith |
#6
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On Jun 8, 7:39*pm, K1TTT wrote:
On Jun 8, 10:57*am, Keith Dysart wrote: On Jun 8, 3:47*am, Richard Clark wrote: On Sun, 6 Jun 2010 14:21:16 -0700 (PDT), Keith Dysart wrote: The 100W forward and 50W reflected have no relation to actual powers From MECA, makers of Isolators - their application: The isolator is placed in the measurement path of a test bench between a signal source and the device under test (DUT) so that any reflections caused by any mismatches will end up at the termination of the isolator and not back into the signal source. This example also clearly illustrates the need to be certain that the termination at the isolated port is sufficient to handle 100% of the reflected power should the DUT be disconnected while the signal source is at full power. If the termination is damaged due to excessive power levels, the reflected signals will be directed back to the receiver because of the circular signal flow. ... MECA offers twenty-four models of isolators and circulators in both N and SMA-female connectors with average power ratings from 2 - 250 watts. Good day Richard, You have located several examples from reputable vendors where the behaviour of directional couplers is described in terms of power in a forward and reflected wave. This model of behaviour works within its limits and allows for convenient computation and prediction of the behaviour. But all of these papers have the appropriate discipline and do not ask the question "where does the reflected energy go?" which is good, for this exceeds the limits of the model. As soon as one assigns tangible energy to the reflected wave, it becomes reasonable to ask for an accounting of this energy and the model is incapable of properly accounting for the energy. Following this weakness back through the model, the root cause is the attempt to assign tangible energy to the reflected wave. Think of it as a reflected voltage or current wave and all will be well, but assign power to it and eventually incorrect conclusions will be drawn. For those who understand this, and know that "where did the reflected energy go?" is an invalid question, using the power model within its limits will not cause difficulties. But for those who are not careful, great difficulties arise and a lot of fancy dancing is offered to work around the difficulties, unsuccessfully. Just for fun, here is a simple example. 100V DC source, connected to a 50 ohm source resistor, connected to 50 ohm transmission line, connected to a 50 ohm load resistor. Turn on the source. A voltage step propagates down the line to the load. The impedances are matched, so there are no reflections. The source provides 100W. 100W is dissipated in the source resistor. 100W is dissipated in the load resistor. Energy moves along the transmission line from the source to the load at the rate of 50W. All is well. lets see, when steady state is reached you have 100v through 2 50ohm resistors in series i assume since you say the source provides 100w... that would mean the current is 1a and each resistor is dissipating 50w. Ouch. I can't even get the arithmetic right. You are, of course, correct. Fortunately, the rest of the examples do not attempt to compute actual values. Disconnect the load. A voltage step propagates back along the line from the load to the source. In front of this step current continues to flow. Behind the step, the current is 0. When the step reaches the source there is no longer any current flowing. The source is no longer providing energy, the source resistor is dissipating nothing, and neither is the load resistor. Proponensts of the power model claim that energy is still flowing down the line, being reflected from the open end and flowing back to the source. Since the source is clearly no longer providing energy, great machinations are required to explain why the reflected 'energy' is re-reflected to provide the forward 'energy'. why would there be power flowing down the line, Exactly. And yet, were you to attach a DC-couple directional wattmeter to the line, it would indicate 50W forward and 50W reflected (using your corrected numbers). in this simple dc case once the voltage in the line equals the source voltage, which in this perfect case would be after one transient down the line, all is in equilibrium... and art is happy. HOWEVER!!! *replace that dc source with an AC one and everything changes, Not at all. The measurements and computations for forward and reflected power that work for AC, work perfectly well for DC, pulses, steps, or pick your waveform. There is no magic related to AC. now there are forward and reflected waves continuously going down the line and back. *your DC analysis is no longer valid as it is a very special case. * Not so. And if it were, at exactly what very low frequency does the AC analysis begin to fail? now you have to go back to the general equations and use the length of the line to transform the open circuit back to the source based on the length of the line in wavelengths... for the specific case of the line being 1/4 wave long the open The transformation properties apply only to sinusoidal AC (note, for example, that the line length is expressed in wavelengths), but reflection coefficients and the the computation of forward and reflected voltages, currents and powers are waveshape independant. When analyzing in the time domain, use the delay of the line to decide the values of the signals to superposed. Doing this for sinusoids will lead to exactly the same results that are expected from, for example, 1/4 wave lines. ....Keith |
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On 6/6/2010 9:22 AM, JC wrote:
Basic question (at least for me) for a very poor antenna matching : -100 w reach the antenna and 50 w are radiated. - 50 w are "reflected", what is their fate ? Are they definitely lost for radiation and just heat the line, the final.... JC It would be really really REALLY effing great if you dorks would take this to a suitable forum. This has nothing to do with antennas. And it is an unproductive infinite length, in case you bunch have missed that point. But I'm guessing that given how intelligent you all are, you already figured that out, and are ignoring it. No one is changing their position, and they never will. And yes, I have the thread set to "ignore". Which everyone should. I will NOT see your responses. tom K0TAR |
#8
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On 6/17/2010 9:59 PM, tom wrote:
On 6/6/2010 9:22 AM, JC wrote: Basic question (at least for me) for a very poor antenna matching : -100 w reach the antenna and 50 w are radiated. - 50 w are "reflected", what is their fate ? Are they definitely lost for radiation and just heat the line, the final.... JC It would be really really REALLY effing great if you dorks would take this to a suitable forum. This has nothing to do with antennas. And it is an unproductive infinite length, in case you bunch have missed that point. But I'm guessing that given how intelligent you all are, you already figured that out, and are ignoring it. No one is changing their position, and they never will. And yes, I have the thread set to "ignore". Which everyone should. I will NOT see your responses. tom K0TAR Actually, I'm following and enjoying the conversation. Since you set your computer to ignore responses, then you should have no objection if they continue. It makes more sense to ignore subjects which don't interest you than to complain about them. John KD5YI |
#9
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On Jun 17, 9:59*pm, tom wrote:
It would be really really REALLY effing great if you dorks would take this to a suitable forum. *This has nothing to do with antennas. Is there a rec.radio.amateur.feedlines group that I have missed? -- 73, Cecil, w5dxp.com |
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