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Standing morphing to travelling waves, and other stupid notions
Keith Dysart wrote:
Expanding on statement 2... Cecil's claim is that the "energy in" the forward and reflected waves travel from end to end on the transmission line. The forward wave and reflected wave each possess energy and momentum which must be conserved. Assuming the transmission line is a homogeneous medium, i.e. a constant Z0, there is nothing anywhere along the line that can possibly cause a reflection. A reflection is necessary to reverse the momentum of a wave and reflections are impossible in a homogeneous medium. By the process of elimination, there must be something wrong with statement #1. This is easy to demonstrate on the bench using a TV signal. Even though there are points of zero power in the standing wave, ghosting will be clearly visible proving that the forward wave has made a round trip to the end of the stub and back. The superposition principle allows us to analyze the forward wave and reflected wave separately. When we do that, it is obvious that energy is flowing both ways across that zero power node location and at all other points on the line. If the reflected wave is equal in magnitude to the forward wave, the net power is zero at every point on the line, not just at the nodes. The Poynting vector for the forward wave is equal in magnitude and opposite in direction to the Poynting vector for the reflected wave. -- 73, Cecil http://www.w5dxp.com |
Standing morphing to travelling waves, and other stupid notions
Cecil Moore wrote:
3. The electric field is either 0 or 180 degrees apart from the magnetic field. I proved that with math equations in an earlier posting which I invited you to disprove and you declined. Hint: see R&W quote below. The pure standing wave Poynting vector is known to be zero. The only way for that to happen (when E and H are both not zero) is for the E and H vectors to be mutually parallel, i.e. 0 or 180 degrees apart. Oops, I am afraid I must retract my previous congratulatory progress report. You are obviously still confusing phasors with field vectors. Until you get that terrible misconception sorted out, there is no hope for further progress. I assume that Hecht covers the equations and such. I am sure that Born and Wolf cover this subject in detail. Check out page 277 in the 6th edition or page 308 in the 7th edition. You will quickly observe that the H-field is always perpendicular (90 degrees) to the E-field, even for standing waves. There is no "0 or 180 degrees" involved. Is there anything else you plan to teach me about physics? There is still a whole lot I don't know. I think I may seek out another source, however. 8-) 73, Gene W4SZ |
Standing morphing to travelling waves, and other stupid notions
On 9 Jan, 19:27, Cecil Moore wrote:
On Jan 9, 3:13 pm, Jim Kelley wrote: On what page has Dr. Hecht written "a standing wave is a different kind of electromagnetic wave"? Since I didn't say that Dr. Hecht said that, it must be a rhetorical question. Here's what Dr. Hecht did say: In "Schaum`s College Physics Outline" by Bueche & Hecht on page 214 is written: "Standing Waves:....These might better not be called waves at all since they do not transport energy and momentum." (Thanks to Richard Harrison for that quote.) I agree with Dr. Hecht. Standing waves should not be called waves at all since they do not meet the definition and requirements for EM waves. I asserted that expression for the sum of traveling waves and the expression for the resulting standing wave pattern are related by trig identity, as per page 140 of the 28th Edition of the CRC Standard Mathematical Tables Handbook. Sorry Jim, that's not what you said. You asked if I recognized the trig identity that (presumably) equated a standing wave to a traveling wave. If that was not your meaning, it is time to say exactly what meaning I was supposed to assume. The 'wave' which stands is merely an amplitude envelope for the waves which move. Key word there is "waves". A standing wave is NOT self sufficient - it requires the superposition of a forward-traveling wave and a reverse- traveling wave. A standing wave loses its EM wave identity in the process of that superposition and apparently creates an illusion capable of mass hysteria. To alleviate that hysteria, one has only to compare the equations for standing waves and traveling waves or the corresponding graphs of those functions to see that they are hardly anything alike. -- 73, Cecil, w5dxp.com Cecil' How can one focus so long on travelling and standing waves when the radiation portion of the subject has not been explained? If waves is the subject it cannot be discussed coherently if you cannot describe the mechanism of radiation, and that subject is inexplicitely bound up with this whole discussion. All of this is pure conjecture based on what is happening behind a closed door which cannot continue until that door is opened. Only then will this discussion be revealed for what it truely is, which is all the things that could be happenning where the winner, if there is one,will be picked when the door is finally opened. Until then every thing is pure guess work. Best regards Art |
Standing morphing to travelling waves, and other stupid notions
Gene Fuller wrote:
Oops, I am afraid I must retract my previous congratulatory progress report. You are obviously still confusing phasors with field vectors. Until you get that terrible misconception sorted out, there is no hope for further progress. Let's skip your objection for the moment and let you answer this simple technical question. Poynting vector = ExH = E*H*sin(A) The Poynting vector for a pure standing wave = 0. It is always zero even when both E and H are not zero. So here is the question for you. Assuming that neither E nor H is equal to zero: When E*H*sin(A) = 0 (Poynting vector) What are the possible magnitudes of angle 'A'? This is a simple technical question having absolutely nothing to do with confusing phasors with field vectors. Please provide an answer. I assume that Hecht covers the equations and such. Yes he does. He also recognizes when the EH fields incident upon a plane can be validly represented by phasors. Apparently, Hecht also "confuses phasors with field vectors". (SIC) -- 73, Cecil http://www.w5dxp.com |
Standing morphing to travelling waves, and other stupid notions
art wrote:
How can one focus so long on travelling and standing waves when the radiation portion of the subject has not been explained? If waves is the subject it cannot be discussed coherently if you cannot describe the mechanism of radiation, ... The mechanism of radiation is pretty simple from a quantum electrodynamic standpoint. Accelerated electrons emit photons. Some of the photons escape the antenna. The energy lost by the escaping photons must be replaced by the source. QED. :-) Art, if you would replace electrons with photons in your blast-off theory, you will be closer to the facts. -- 73, Cecil http://www.w5dxp.com |
Standing morphing to travelling waves, and other stupid notions
Gene Fuller wrote:
Oops, I am afraid I must retract my previous congratulatory progress report. You are obviously still confusing phasors with field vectors. Until you get that terrible misconception sorted out, there is no hope for further progress. Draw a plane through which a plane EM wave is passing normal to the plane. Now please explain exactly why the E-field and H-field cannot be represented by phasors. I posted this separately to keep from confusing simple issues with complex issues. Get it? Complex issues? :-) -- 73, Cecil http://www.w5dxp.com |
Standing morphing to travelling waves, and other stupid notions
On 17 Jan, 09:51, Cecil Moore wrote:
art wrote: How can one focus so long on travelling and standing waves when the radiation portion of the subject has not been explained? If waves is the subject it cannot be discussed coherently if you cannot describe the mechanism of radiation, ... The mechanism of radiation is pretty simple from a quantum electrodynamic standpoint. Accelerated electrons emit photons. Some of the photons escape the antenna. The energy lost by the escaping photons must be replaced by the source. QED. :-) Art, if you would replace electrons with photons in your blast-off theory, you will be closer to the facts. -- 73, Cecil *http://www.w5dxp.com Thank you for your civil reply. What I am trying to say is that this long long thread has got a life of its own that it is excluding a lot of people. If it concentrated on say, a simple parallel circuit, a very simple circuit then the absolute physics of what is being discussed would be an immense help in explaining this wave discussion.ARRL states that an antenna is a simple parallel circuit but this concentration on antenna workings is blind siding every body as well as providing a means for twisting the discussion because the makings of radiation is not known. Why not illustrate waves in a simple parallel circuit so that observers can partake in this discussion which, if it ever comes to closure, could then be used to demonstrate their effect on radiation? Onlookers are more than willing to partake in the discussion but presently they are on the side lines because as presented it is limited to only those whose intent is to argue without obtaining closure and their feeding habits are insatiable as you are finding out. Best regards Art Unwin KB9MZ......XG |
Standing morphing to travelling waves, and other stupid notions
Cecil Moore wrote:
Gene Fuller wrote: Oops, I am afraid I must retract my previous congratulatory progress report. You are obviously still confusing phasors with field vectors. Until you get that terrible misconception sorted out, there is no hope for further progress. Let's skip your objection for the moment and let you answer this simple technical question. Poynting vector = ExH = E*H*sin(A) Incorrect. The Poynting vector is defined as E x H*. The vector directions are critically important. It is absolutely incorrect to try to reduce to some scalar type equation. (The '*' means complex conjugate, but this detail is not always important.) The Poynting vector for a pure standing wave = 0. Says who? Perhaps the time and space averages or "net", whatever that means, but not the local instantaneous Poynting vector. It is always zero even when both E and H are not zero. Nonsense. It is E x H* at every point. If E or H is zero then the Poynting vector is zero. Otherwise it will not be zero. So here is the question for you. Assuming that neither E nor H is equal to zero: When E*H*sin(A) = 0 (Poynting vector) What are the possible magnitudes of angle 'A'? This is a simple technical question having absolutely nothing to do with confusing phasors with field vectors. Please provide an answer. The answer is that you have started with incorrect equations. I assume that Hecht covers the equations and such. Yes he does. He also recognizes when the EH fields incident upon a plane can be validly represented by phasors. Apparently, Hecht also "confuses phasors with field vectors". (SIC) You have obviously misunderstood what Hecht is saying. A phasor does not carry any vector information. It is a representation of magnitude and phase angle only. That says absolutely nothing about the direction of the field vector. The phase angle is completely unrelated to the vector direction of the E-field and/or H-field. 73, Gene W4SZ |
Standing morphing to travelling waves, and other stupid notions
Cecil Moore wrote:
Gene Fuller wrote: Oops, I am afraid I must retract my previous congratulatory progress report. You are obviously still confusing phasors with field vectors. Until you get that terrible misconception sorted out, there is no hope for further progress. Draw a plane through which a plane EM wave is passing normal to the plane. Now please explain exactly why the E-field and H-field cannot be represented by phasors. I posted this separately to keep from confusing simple issues with complex issues. Get it? Complex issues? :-) Cecil, The phasor has nothing to do with spatial direction of the field vector. It has everything to do with the amplitude and the (wt-kx) term in the wave equation. (The 'x' is simply a distance measure in the propagation direction. It does not say anything about the field vector directions, since the fields are transverse to the propagation direction.) This is really, really basic E&M stuff. If you still disagree, then you are own your own. 73, Gene W4SZ |
Standing morphing to travelling waves, and other stupid notions
art wrote:
Why not illustrate waves in a simple parallel circuit so that observers can partake in this discussion which, if it ever comes to closure, could then be used to demonstrate their effect on radiation? This discussion, to a large extent, is concerned with the nature of RF waves. There are no RF waves in a simple parallel circuit. I posted a list of characteristics of an EM plane wave. A parallel circuit doesn't match those characteristics. -- 73, Cecil http://www.w5dxp.com |
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