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On Tue, 15 Sep 2009 21:25:29 +0100, "christofire"
wrote: Well, the moment of a section of a dipole is proportional to the average net current on it and it's the integral of the moments at a point of inspection that yields the radiation pattern. Hi Chris, I have already offered that what you say above is not disputed. I merely add that it is not the only perspective and says nothing of the "absence" of current throughout the entire radiator. In my simplistic way of thinking, if the moment of the end sections is zero, or as close as makes no difference, then there's no contribution to the pattern from there, so there's no radiation from there. That was the logical basis for Art's claims of length efficiency: those portions that did not support current (read contribute to radiation) were thus ancillary (redundant as the Briticism would go) and unneeded. Art would then expand this logic to perform his Ritual Antenna Bris and lop off a portion to reduce the length (increase the efficiency). I've already commented on this reductio ad absurdum. Far field patterns are created from the phase relationships and time relationships, and distance relationships (all the same thing, mathematically) from all points of the radiator to any single point of the characteristic lobe. In the teachings of radiation as light, a wave front can be considered to be an infinite number of points of radiation along a curved line (that front). Interference (with its product being the shape of a lobe) is the combination of all their phases, distances, and times. Someone else who posted here a while ago used the term 'unopposed' current which is useful because it's the basis of why twin-wire transmission line, driven differentially, is a poor radiator - put another way, the moment at any point is close to zero. Alternatively, if there's no radiation from a 'source' then there can't be any unopposed current there. This is not the same sense of current in a single wire that gives rise to a structure known as a "standing wave antenna." If you ran a twin line up into the air to an open connection, then you would have two closely space radiators. The open would enforce a both a longitudinal and transverse standing wave. They would both radiate like twin fire hoses. The key point here is that in the distance of their separation, that distance is an incredibly small fraction of the wavelength they are radiating. Their two currents (the standing waves on each wire being immaterial) impose an 180 degree relationship throughout their entire length. Both waves' phases, distances, and times cancel to within the degree of that space of separation. This is very easy to demonstrate by observing how they become efficient and productive non-canceling radiators as you draw them apart to form the V antenna. The only thing that has changed is the distance which imparts a phase (or time, or distance - all the same thing mathematically) shift apparent at a great distance. They will still have the same SWR along their length, and the same currents (apart from what is imposed through the radiation resistance). I wouldn't contradict what you say about there being a collection of charge at the ends of a dipole during each cycle, especially when it has added capacitance (e.g. a 'hat' or the top of a 'Tee'), but the current in a symmetrical hat is fully opposed and, as I noted before, the current at the end of the conductor must be zero - by the definition of conduction. Well, to this point there has been no discussion of end loading. Doesn't matter, all the key issues are discussed above. I believe there is danger in trying to relate radiation to voltages rather than currents, arguing that displacement current causes radiation. This is an engineering shorthand. It works with great precision. But the simple fact of the matter is there is no current without a potential gradient. Radiation could as easily be described by it. Without regard for patterns, radiation is a function of Ohm's law and we have three variables there. You cannot ignore any element or assess some distinction of one at the cost of the other(s). Therein lies the fallacy of the CFA, E-H antennas, and associated efforts at re-writing of Maxwell's equations, which are all being demonstrated as bunk. Also, this appears to be the basis of Mr. Bialek's lecture series. If you wish to argue 'that superposed voltage nodes also define the (pattern of the...sic) far-field pattern' then I won't stand in your way ... but I probably won't believe you. So I gather. It is merely a shift in perspective of conventions, not an up-ending of them. You may note that none of my discussion above demands any new physics, nothing new in math, no novel methods. I've used only two wires both close together and drawn farther apart under the most simple of terms to reveal on one hand a transmission line, and on the other hand a V antenna. The math of phase, distance, and time is drawn from NEC; or rather, NEC leans heavily upon it and drew it from Optics and I state my case in the strict terms of a method of moments. To cut to the chase: The full length of the radiator contributes to radiation and the evidence of this is found in any characteristic lobe displayed in the far field. 73's Richard Clark, KB7QHC |
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