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Constructive interference in radiowave propagation
Cecil Moore wrote:
Gene Fuller wrote: I pointed out a few days ago that the FSU Java applet you lean on so heavily these days is a simple tutorial device designed by a grad student and a programmer. As shown, it is physically impossible, since there is no mechanism in place to cause the waves to suddenly jump together and interfere. Good Grief, Gene! You are arguing that because you cannot view them in the present that they never existed in the past. Such is nonsense.The left hand side is a historical plot of the points of the waves before they interfere. Of course, those points only exist back in history and no longer exist in the present because everything in the present is happening at a point. Do you also deny the existence of the historical yearly temperature plot points because they don't still exist today? Please get real. Here's a temperature chart to which you can apply your "impossible" logic concepts. http://en.wikipedia.org/wiki/Global_warming Paraphrasing your idea: "As shown, it is physically impossible, since there is no mechanism in place to cause more than one temperature to exist at the present time." That java example is an example of implementing the S-Parameter equation b1 = s11(a1) + s12(a2) which is CERTAINLY NOT IMPOSSIBLE. By adjusting the magnitudes and phase angles of a1 and a2, any degree of interference can be obtained. One wave is s11(a1) and the other wave is s12(a2). Of course, the interference happens at a point (or plane) so fast that it is impossible to view in real time. But by using deductive reasoning and the known laws of physics, we are able to come up with valid java scripts like the above. Your confusion is in assuming all those points have to exist simultaneously in the present, a really, really ridiculous notion. They do not and cannot exist simultaneously in the present just as temperatures on a temperature plot of past years do not and cannot exist in the present anymore. Those points on the java script existed back in time and are plotted in a similar manner to plotting temperatures that no longer exist in the present. Cecil, Why don't you simply stop being such a nitwit. I understand perfectly what the Java applet is and is not. S-parameters are not a new branch of science. No one is confused except you. 73, Gene W4SZ |
Constructive interference in radiowave propagation
Gene Fuller wrote:
quoting Born & Wolf: "However, when the definition has been applied cautiously, in particular for averages of small but finite regions of space or time, no contradictions with experiments have been found. We shall therefore accept the above definition in terms of the Poynting vector of the density of the energy flow." There's the meat of the quote as far as transmission lines are concerned. Given that transmission lines are "small but finite regions of space or time", and since there are only two possible directions in a transmission line, Born and Wolf seem to give us permission to do exactly what you are complaining about. Your concerns about light waves in three dimensional free space just don't exist for the primarily single dimensional "space" in a transmission line. Ideally, the power density exists only between the inner and outer conductors of the coax. It does not make any sense to simply add and subtract Poynting vectors in elementary fashion and expect to get correct results. Born & Wolf's own words in the quote above provided by you contradict that assertion. It simply does not matter. You sure make a lot of postings about it for it not to matter to you. :-) It certainly matters to me and others and we will not stop the discussion until it is resolved to everyone's satisfaction. What are you afraid we will uncover if we keep digging? Your ignorance? It has been pointed out numerous times that modern physical theory is correct by design. Ian again pointed out that fact earlier today. If the wave equations, the field equations, force equations, or whatever are analyzed correctly the energy balance will automatically work out correctly as well. The assertions that reflected waves don't exist or if they do exist, they contain no energy, are false assertions. Trying to sweep them under the rug by mealy-mouthing some automatic energy balance religion is just another copout. -- 73, Cecil http://www.w5dxp.com |
Constructive interference in radiowave propagation
Gene Fuller wrote:
Why don't you simply stop being such a nitwit. I understand perfectly what the Java applet is and is not. S-parameters are not a new branch of science. No one is confused except you. Before I explained it to you, you obviously had no clue what that java script represented since you said it was impossible. Not only is it possible, it happens every time someone adjusts an antenna tuner for a match. -- 73, Cecil http://www.w5dxp.com |
Constructive interference in radiowave propagation
On Apr 14, 8:57 pm, Cecil Moore wrote:
Jim Kelley wrote: So I'm happy to leave it to you to explain to Cecil how waves cancel but without anhiliating the energy "in" them. But that's just the point, Jim. You seem to believe the pre-existing energy in those waves has been destroyed. They obviously possessed energy before cancellation and you say they possess zero energy after cancellation. If that pre-existing energy is not destroyed, where did it go? -- 73, Cecil http://www.w5dxp.com As I said, Cecil, your ideas about waves 'possessing energy' need a little work. ac6xg |
Constructive interference in radiowave propagation
Jim Kelley wrote:
As I said, Cecil, your ideas about waves 'possessing energy' need a little work. Complete lack of technical content or technical defense of your assertions is noted - nothing but a bunch of hand-waving. One more challenge for you, Jim. If you can prove that an EM wave can exist without the associated ExB energy, you will no doubt win a Nobel Prize in Physics. Here's what Hecht says: "Any electromagnetic wave exists within some region of space, and it is therefore natural to consider the *radiant energy per unit volume*, or *energy density*. We suppose that the electric field itself can somehow store energy. This is a major logical step since it imparts to the field the attribute of physical reality - if the field has energy, it is a thing-in-itself." Maybe it's past time for you to take that logical step that Hecht took so long ago? "To represent the flow of electromagnetic energy associated with a traveling wave, let 'S' symbolize the transport of energy per unit time (the power) across a unit area. ... it has come to be known as the *Poynting vector*." Hecht labels the energy per unit time in an EM wave as "power". Hecht's Poynting vector equations contain cosine terms. Hecht shoots down virtually every one of your assertions and objections. I notice you carefully avoided my S-Parameter example. -- 73, Cecil http://www.w5dxp.com |
Constructive interference in radiowave propagation
On Apr 15, 11:58 am, Cecil Moore wrote:
I notice you carefully avoided my S-Parameter example. I try to comment only on technical things that you say with which I disagree, Cecil. Though as it happens, most of the objectionable comments you make are not techincal. ac6xg |
Constructive interference in radiowave propagation
Jim Kelley wrote:
As I said, Cecil, your ideas about waves 'possessing energy' need a little work. All it takes to prove you wrong is a look at a typical S-Parameter equation involving the superposition of two terms. In the following the '@' sign is used for the angle sign. a1 and a2 are normalized voltages. s21 is a transmission coefficient. s22 is a reflection coefficient. b2 = s21(a1) + s22(a2) Given a1 = 10 @ 0 deg, a2 = 10 @ 180 deg, s21 = 0.707 @ 0 deg, s22 = 0.707 @ 180 deg s21(a1) = 0.707@0(10@0) = 7.07 @ 0 deg s22(a2) = 0.707@180(10@180) = 7.07 @ 0 deg superposing those two values gives: b2 = 14.14 @ 0 deg All is well and good. Multiply b2 by SQRT(Z0) to get total forward voltage. Now let's look at the powers in accordance with HP's Ap Note 95-1. For that, we don't need to know the Z0. The beauty of an S-Parameter analysis is that if one squares the normalized voltages, one gets power. |s21(a1)|^2 = 50 watts |s22(a2)|^2 = 50 watts |b2|^2 = 200 watts Even in the S-Parameter analysis, superposing two 50W waves in phase yields 200 watts. Constructive interference not only makes it possible but demands it. Jim, I challenge you to find anything wrong with this S- Parameter analysis. It follows exactly Born and Wolf's intensity equations for constructive interference when the phase angle between a1 and a2 is 180 degrees and their magnitudes are equal. -- 73, Cecil http://www.w5dxp.com |
Constructive interference in radiowave propagation
Jim Kelley wrote:
Cecil Moore wrote: I notice you carefully avoided my S-Parameter example. I try to comment only on technical things that you say with which I disagree, Cecil. Though as it happens, most of the objectionable comments you make are not techincal. Translation: I agree with you technically but I dislike your personal style so I am going to keep harassing you with false quotations and kibitzing. Please see my latest S-Parameter posting where the S-Parameter equations agree perfectly with Hecht and Born & Wolf, and disagree with you. -- 73, Cecil http://www.w5dxp.com |
Constructive interference in radiowave propagation
Cecil Moore wrote in news:0svUh.417$Yo2.402
@newssvr19.news.prodigy.net: Now let's look at the powers in accordance with HP's Ap Note 95-1. For that, we don't need to know the Z0. The beauty of an S-Parameter analysis is that if one squares the normalized voltages, one gets power. Cecil, AN95-1 is a slide show, it is a presentation to accompany a talk, and as such is incomplete. Another HP note is AN154 which is derived from a training seminar, but is more complete in its development. Chapter 1 is relevant to your use of S parameters. Let me quote: Notice that the square of the magnitude of these new variables has the dimension of power. |a1|2 can then be thought of as the incident power on port one; |b1|2 as power reflected from port one. These new waves can be called traveling power waves rather than traveling voltage waves. Throughout this seminar, we will simply refer to these waves as traveling waves. It is a leap to move from "can be thought of as power" or "has the dimension of power" to your statement (which you attribute to HP AN95-1) "The beauty of an S-Parameter analysis is that if one squares the normalized voltages, one gets power." Did AN95-1 state clearly that which you suggest? Nowhere in Chapter 1 of AN154 do they perform alegebraic operations on power, the chapter is full of expressions, but they do not use |Sxx|^2. |s21(a1)|^2 = 50 watts |s22(a2)|^2 = 50 watts |b2|^2 = 200 watts Even in the S-Parameter analysis, superposing two 50W waves in phase yields 200 watts. Constructive interference not only makes it possible but demands it. So not you are superposing power to "yield" a resultant power. Did HP show you how to do that, or is it all your own work? Owen |
Constructive interference in radiowave propagation
A couple of typos fixed:
Cecil Moore wrote in news:0svUh.417$Yo2.402 @newssvr19.news.prodigy.net: Now let's look at the powers in accordance with HP's Ap Note 95-1. For that, we don't need to know the Z0. The beauty of an S-Parameter analysis is that if one squares the normalized voltages, one gets power. Cecil, AN95-1 is a slide show, it is a presentation to accompany a talk, and as such is incomplete. Another HP note is AN154 which is derived from a training seminar, but is more complete in its development. Chapter 1 is relevant to your use of S parameters. Let me quote: Notice that the square of the magnitude of these new variables has the dimension of power. |a1|^2 can then be thought of as the incident power on port one; |b1|^2 as power reflected from port one. These new waves can be called traveling power waves rather than traveling voltage waves. Throughout this seminar, we will simply refer to these waves as traveling waves. It is a leap to move from "can be thought of as power" or "has the dimension of power" to your statement (which you attribute to HP AN95-1) "The beauty of an S-Parameter analysis is that if one squares the normalized voltages, one gets power." Did AN95-1 state clearly that which you suggest? Nowhere in Chapter 1 of AN154 do they perform alegebraic operations on power, the chapter is full of expressions, but they do not use |Sxx*ax|^ 2. |s21(a1)|^2 = 50 watts |s22(a2)|^2 = 50 watts |b2|^2 = 200 watts Even in the S-Parameter analysis, superposing two 50W waves in phase yields 200 watts. Constructive interference not only makes it possible but demands it. So now you are superposing power to "yield" a resultant power. Did HP show you how to do that, or is it all your own work? Owen |
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