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RSGB RadCom December 2007 Issue
Mike Kaliski wrote:
and that the characteristic impedence will vary along an antennas length. Well, that's obviously false. The characteristic impedance of a horizontal wire above ground is constant at 138*log(4D/d) The characteristic impedance is not to be confused with the voltage to current ratio existing on a standing-wave antenna any more than the characteristic impedance of a transmission line is to be confused with the voltage to current radio existing along its length when the SWR is not 1:1. -- 73, Cecil http://www.w5dxp.com |
#2
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RSGB RadCom December 2007 Issue
Cecil Moore wrote:
Mike Kaliski wrote: and that the characteristic impedence will vary along an antennas length. Well, that's obviously false. The characteristic impedance of a horizontal wire above ground is constant at 138*log(4D/d) The characteristic impedance is not to be confused with the voltage to current ratio existing on a standing-wave antenna any more than the characteristic impedance of a transmission line is to be confused with the voltage to current radio existing along its length when the SWR is not 1:1. Have you verified this experimentally, Cecil? If you did, how did you do it? 73, Tom Donaly, KA6RUH |
#3
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RSGB RadCom December 2007 Issue
Tom Donaly wrote:
Cecil Moore wrote: The characteristic impedance of a horizontal wire above ground is constant at 138*log(4D/d) The characteristic impedance is not to be confused with the voltage to current ratio existing on a standing-wave antenna any more than the characteristic impedance of a transmission line is to be confused with the voltage to current radio existing along its length when the SWR is not 1:1. Have you verified this experimentally, Cecil? If you did, how did you do it? Here's a quote from "Antennas Theory" by Balanis: "The current and voltage distributions on open-ended wire antennas are similar to the standing wave patterns on open-ended transmission lines. .... Standing wave antennas, such as the dipole, can be analyzed as traveling wave antennas with waves propagating in opposite directions (forward and backward) and represented by traveling wave currents If and Ib ..." As Balanis suggests, the body of technical knowledge available for "open-ended transmission lines" is applicable to "open-ended wire antennas", e.g. dipoles, which really are nothing but lossy *single-wire* transmission lines. That characteristic impedance equation for a single-wire transmission lines can be found in numerous publications and is close to a purely resistive value. A #14 horizontal wire 30 feet above ground is very close to a characteristic impedance of 600 ohms. (One half of a 1/2 wavelength dipole is simply a lossy 1/4 wavelength stub with Z0 = ~600 ohms.) Before he passed, Reg Edwards had some earlier comments on the characteristic impedance of a 1/2WL dipole above ground. Like a normal transmission line open stub, a 1/2WL dipole supports standing waves that can be analyzed. For the purposes of a voltage and current analysis, I^2*R losses and radiation losses can be lumped together into total losses associated with some attenuation factor, similar to analyzing a 1/4WL lossy normal stub. In fact, the losses to radiation from one half of a 1/2WL dipole can be simulated by EZNEC using resistance wire in a 1/4WL open stub. Using EZNEC with a resistivity of 2.3 uohm/m for a 1/4WL open stub gives a pretty good model of what is happening with one half of a 1/2WL dipole which is only a lossy single-wire transmission line above earth. -- 73, Cecil http://www.w5dxp.com |
#4
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RSGB RadCom December 2007 Issue
Cecil Moore wrote:
Tom Donaly wrote: Cecil Moore wrote: The characteristic impedance of a horizontal wire above ground is constant at 138*log(4D/d) The characteristic impedance is not to be confused with the voltage to current ratio existing on a standing-wave antenna any more than the characteristic impedance of a transmission line is to be confused with the voltage to current radio existing along its length when the SWR is not 1:1. Have you verified this experimentally, Cecil? If you did, how did you do it? Here's a quote from "Antennas Theory" by Balanis: "The current and voltage distributions on open-ended wire antennas are similar to the standing wave patterns on open-ended transmission lines. ... Standing wave antennas, such as the dipole, can be analyzed as traveling wave antennas with waves propagating in opposite directions (forward and backward) and represented by traveling wave currents If and Ib ..." As Balanis suggests, the body of technical knowledge available for "open-ended transmission lines" is applicable to "open-ended wire antennas", e.g. dipoles, which really are nothing but lossy *single-wire* transmission lines. That characteristic impedance equation for a single-wire transmission lines can be found in numerous publications and is close to a purely resistive value. A #14 horizontal wire 30 feet above ground is very close to a characteristic impedance of 600 ohms. (One half of a 1/2 wavelength dipole is simply a lossy 1/4 wavelength stub with Z0 = ~600 ohms.) Before he passed, Reg Edwards had some earlier comments on the characteristic impedance of a 1/2WL dipole above ground. Like a normal transmission line open stub, a 1/2WL dipole supports standing waves that can be analyzed. For the purposes of a voltage and current analysis, I^2*R losses and radiation losses can be lumped together into total losses associated with some attenuation factor, similar to analyzing a 1/4WL lossy normal stub. In fact, the losses to radiation from one half of a 1/2WL dipole can be simulated by EZNEC using resistance wire in a 1/4WL open stub. Using EZNEC with a resistivity of 2.3 uohm/m for a 1/4WL open stub gives a pretty good model of what is happening with one half of a 1/2WL dipole which is only a lossy single-wire transmission line above earth. So you haven't verified it experimentally, and don't know how to do so. Thanks for the answer. 73, Tom Donaly, KA6RUH |
#5
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RSGB RadCom December 2007 Issue
Tom Donaly wrote:
Cecil Moore wrote: Here's a quote from "Antennas Theory" by Balanis: "The current and voltage distributions on open-ended wire antennas are similar to the standing wave patterns on open-ended transmission lines. ... Standing wave antennas, such as the dipole, can be analyzed as traveling wave antennas with waves propagating in opposite directions (forward and backward) and represented by traveling wave currents If and Ib ..." So you haven't verified it experimentally, and don't know how to do so. Thanks for the answer. Do you distrust the theory of relatively because you haven't verified it experimentally and don't know how to do so? I have simulated the configuration using EZNEC. Tom, like you, I trust the great engineers and physicists who came before me. I do not develop every concept from first principles. If an analysis suggested by Balanis is not good enough for you, that's your choice. Incidentally, Kraus says essentially the same thing as Balanis about analyzing standing-wave antennas. -- 73, Cecil http://www.w5dxp.com |
#6
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RSGB RadCom December 2007 Issue
Cecil Moore wrote:
Tom Donaly wrote: Cecil Moore wrote: Here's a quote from "Antennas Theory" by Balanis: "The current and voltage distributions on open-ended wire antennas are similar to the standing wave patterns on open-ended transmission lines. ... Standing wave antennas, such as the dipole, can be analyzed as traveling wave antennas with waves propagating in opposite directions (forward and backward) and represented by traveling wave currents If and Ib ..." So you haven't verified it experimentally, and don't know how to do so. Thanks for the answer. Do you distrust the theory of relatively because you haven't verified it experimentally and don't know how to do so? I have simulated the configuration using EZNEC. Tom, like you, I trust the great engineers and physicists who came before me. I do not develop every concept from first principles. If an analysis suggested by Balanis is not good enough for you, that's your choice. Incidentally, Kraus says essentially the same thing as Balanis about analyzing standing-wave antennas. I actually do know how to verify Einstein's predictions because the fellows who did it wrote detailed articles on how they did it. Thinking of antennas as transmission lines is an old practice. It doesn't mean it's very practical, or that it hasn't been superseded by a better analogy. For that matter, a vibrating guitar string can be analyzed as a transmission line, as can any woodwind instrument. That doesn't mean it's worth doing, but it can be done. The problem is when a gentleman, such as the late, lamented Reg Edwards, or the still kicking, unlamented you, write that an antenna, or a clarinet _is_ a transmission line. 73, Tom Donaly, KA6RUH |
#7
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RSGB RadCom December 2007 Issue
Tom Donaly wrote:
The problem is when a gentleman, such as ... unlamented you, write that an antenna, or a clarinet _is_ a transmission line. But Tom, page 18 of "Antenna Theory" by Balanis, shows how a transmission line can be opened up to cause it to radiate. A dipole is indeed a leaky transmission line. During steady-state, it loses about 20% of the power stored in the standing waves to radiation. Maxwell's laws don't change from transmission lines to wire antennas. -- 73, Cecil http://www.w5dxp.com |
#8
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RSGB RadCom December 2007 Issue
Cecil Moore wrote:
Mike Kaliski wrote: and that the characteristic impedence will vary along an antennas length. Well, that's obviously false. The characteristic impedance of a horizontal wire above ground is constant at 138*log(4D/d) The characteristic impedance is not to be confused with the voltage to current ratio existing on a standing-wave antenna any more than the characteristic impedance of a transmission line is to be confused with the voltage to current radio existing along its length when the SWR is not 1:1. Interesting point. When I use a gamma match on a 1/2 wave vertical with counterpoise, I have always wondered about the 50ohm impedance point where the gamma taps the element. To end feed the antenna, an impedance of thousands of ohms is encountered, a, seemingly, "strange" distance up the element (in regards to total element length) and a 50 ohm impedance point is encountered (needing only a series capacitive reactance to correct for the gamma rods' inductive reactance.) It would be interesting if I had a formula which would predict what impedance would be encountered for all points along the element--know of any? I have looked at setting up such a formula, but frankly have been unsuccessful ... and of course, it is given that antenna length IS resonate for the frequency in question. Regards, JS |
#9
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RSGB RadCom December 2007 Issue
"Cecil Moore" wrote in message ... Mike Kaliski wrote: and that the characteristic impedence will vary along an antennas length. Well, that's obviously false. The characteristic impedance of a horizontal wire above ground is constant at 138*log(4D/d) The characteristic impedance is not to be confused with the voltage to current ratio existing on a standing-wave antenna any more than the characteristic impedance of a transmission line is to be confused with the voltage to current radio existing along its length when the SWR is not 1:1. -- 73, Cecil http://www.w5dxp.com Cecil Are you sure you are not confusing the characteristic impedance of a dipole antenna with the characteristic impedence of an open feed line? One is constant, the other appears to vary along its length. A dipole antenna has low impedence at a centre feed point and high impedence at it's ends. Reminds me of the tales of old ladies who used to tie knots in electric flex to stop the electricity leaking out! I actually met one in real life many years ago. Mike G0ULI |
#10
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RSGB RadCom December 2007 Issue
Mike Kaliski wrote:
Are you sure you are not confusing the characteristic impedance of a dipole antenna with the characteristic impedence of an open feed line? One is constant, the other appears to vary along its length. A dipole antenna has low impedence at a centre feed point and high impedence at it's ends. The feedpoint impedance of a stub is NOT the same thing as the Z0 of the stub. The feedpoint impedance of an antenna is NOT the same thing as the Z0 of the antenna. The characteristic impedance of a #14 wire 30 feet above the ground is close to constant at 600 ohms. The formula for a single-wire transmission line is 138*log(4D/d). A horizontal dipole is nothing more than a single-wire transmission line which is known to be lossy. The characteristic impedance of a transmission line is constant. If the SWR 1, the voltage to current ratio varies along its length. That varying impedance (V/I) is NOT the characteristic impedance which is constant. The characteristic impedance of a horizontal dipole is ~constant. Since a dipole is a standing wave antenna, the voltage to current ratio varies along its length. That varying impedance (V/I) is NOT the characteristic impedance which is relatively constant for a horizontal wire. -- 73, Cecil http://www.w5dxp.com |
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