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#1
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On Dec 27, 11:46*pm, "Frank" wrote:
"Art Unwin" wrote in message ... When measuring the SWR of a transmission line we can find a length that is resonant. Or in other words the current is of an exact sinusoidal form and thus the basis of SWR. When we apply the same principles to a radiator we cannot assume a perfect sinusoidal wave because of the field generated outside the radiator where a degradation of amplitude depends not only on the generated fields but also the length of the radiator i.e a thin radiator. Thus one can see that a fractional wave antenna if reflected as generally assumed cannot possibly be 1:1 for a wavelength as per a perfect reflection as could or would be seen from a transmississsion line. The above not only shows that a transmission line is a closed circuit as is a fractional wavelength antenna where the current travels on the inside of the radiator and where the transmission line has current flow on the inside of the outer skin (brading) The antenna compendium states that an assumption is made with MoM programs that an assumption is made that current in a radiator is sinusoidal where as we all know that the current degrades in aplitude dependent on radiator length. It should be seen that when we use the term SWR we are looking at two different things, a transmission line which is not radiating( ignoring leakage) but still a closed circuit and a radiator that is radiating but with a non sinusoidal current which is contrary to the assumptions made for MoM style radiator programs. Thus it should be seen that any radiator is a closed circuit with continuous leakage in current levels dependent on its length via accountability for all four fouces present.. Regards Art The "Method of Moments" (MOM) makes no assumptions about current distribution on a radiator; *it computes the current distribution. The radiated field is then calculated based on the current distribution. Frank Yes it does but as always one must review the basis on which formula is formed and conditions expressed One of these conditions is that current flow is sinusoidal which cannot be true because of leakage ( radiation) per unit length of the radiator. If on compares the current flow of a full wave radiatior to a fractional wave current flow this becomes very obvious especially when either of them is compared to a true sino soidal curve Cheers Frank |
#2
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The "Method of Moments" (MOM) makes no assumptions about
current distribution on a radiator; it computes the current distribution. The radiated field is then calculated based on the current distribution. Frank Yes it does but as always one must review the basis on which formula is formed and conditions expressed One of these conditions is that current flow is sinusoidal which cannot be true because of leakage ( radiation) per unit length of the radiator. If on compares the current flow of a full wave radiatior to a fractional wave current flow this becomes very obvious especially when either of them is compared to a true sino soidal curve Cheers Frank None of the conditions assume current (distribution) on a radiator is sinusoidal. It can be anything, not even remotely sinusoidal, and frequently has discontinuities (such as a "unit step function" in the case of a shunt fed, gamma matched, grounded tower, for example). The theory behind the "Moment method", in the case of NEC 2, is in the public domain, and available he http://www.nec2.org/other/nec2prt1.pdf Frank |
#3
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On Dec 28, 11:06*am, "Frank" wrote:
The "Method of Moments" (MOM) makes no assumptions about current distribution on a radiator; it computes the current distribution. The radiated field is then calculated based on the current distribution. |
#4
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![]() "Art Unwin" wrote in message ... Using just one example radiation at present is presumed to provide many waves along a conductor purely on the bases that current is reflected from the antenna end and progresses along the same path that it arrived. This error alone has allowed many assumptions and erronious theories to be expanded. oh no! now he doesn't believe in reflections! how could we ever survive on here without endless discussions of reflections and waves? |
#5
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![]() oh no! *now he doesn't believe in reflections! *how could we ever survive on here without endless discussions of reflections and waves? He believes that anything that trashes his delusions of how an antenna works has to be wrong. Jimmie |
#6
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On Dec 29, 2:27*pm, JIMMIE wrote:
oh no! *now he doesn't believe in reflections! *how could we ever survive on here without endless discussions of reflections and waves? He believes that anything that trashes his delusions of how an antenna works has to be wrong. Jimmie Enough of the talking Jimmie and prove the Gaussian equation transformation is wrong. You missed your chance when it was shown on the net. My earlier posting pointed you to a place so you can handle the CGS units and trash it if you can. All those posts you have wasted would not have been necessary if you had educated yourself in the mean time instead of becoming just a talking head Art |
#7
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"Art Unwin" wrote
The antenna compendium states that an assumption is made with MoM programs that an assumption is made that current in a radiator is sinusoidal where as we all know that the current degrades in aplitude dependent on radiator length. _____________ Art, the current distribution along even the shortest fractional wavelength, constant OD radiator also is ~sinusoidal. Current always is near zero at the open end of a linear radiator of every physical length. The shape of the current wave formed along a very short radiator appears to be very close to triangular. But in fact that "triangular" current distribution is just a very short section of a sinusoidal waveform. N.B. that MoM programs show exactly this for radiators that are very short in terms of electrical wavelengths. This also is proven mathematically in the antenna engineering texts of Kraus, Balanis, Johnson & Jasik, etc. RF |
#8
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On Dec 28, 12:36*pm, Richard Fry wrote:
"Art Unwin" wroteThe antenna compendium states that an assumption is made with MoM programs that an assumption is made that current in a radiator is sinusoidal where as we all know that the current degrades in aplitude dependent on radiator length. _____________ Art, the current distribution along even the shortest fractional wavelength, constant OD radiator also is ~sinusoidal. Current always is near zero at the open end of a linear radiator of every physical length. The shape of the current wave formed along a very short radiator appears to be very close to triangular. *But in fact that "triangular" current distribution is just a very short section of a sinusoidal waveform. N.B. that MoM programs show exactly this for radiators that are very short in terms of electrical wavelengths. *This also is proven mathematically in the antenna engineering texts of Kraus, Balanis, Johnson & Jasik, etc. RF O.K. have it your way. At the end of a radiator voltage is a maximum as current is zero ie the curves of current and current crosses each other. We can then use the absolute standard equatiion of E = I R. Using this formula for understanding conditions at the end of a radiator we can state that E, I and R equals zero ala a non closed circuit. Kraus used four travelling waves in his analysis of the helical antenna an analysis that was not corrobarated by following examiners or the application of the NEC (MoM) programs where disturbing differences was never resolved. You introduce wavelength as if it was a standard without considering the velocity factor and where a transmission line analogy does not satisfy a helical antenna because of slow wave created in a similar way to cavitation as explored by Bernoulle or by the addition of sharp corners encountered by current flow As far as what has been proven in text books they are only reflect the conditions placed on the problem but also assumption of correct theory applied. This is why history shows the evolution of science is a series of broken theories whose value is measured by their resistance to attack over time. I would remind you that the metric of time has NOT stopped. But as I stated earlier you can have it your way without objection from me Art |
#9
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Art wrote:
"We can then use the absolute standard equation of E = I R." For ac (RF) that`s not true. The formula is E=IZ, where Z includes reactance and resistance in quadrature. I`m not piling on but some readers may believe Art. Best regards, Ricxhard Harrison, KB5WZI |
#10
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On Dec 28, 4:12*pm, (Richard Harrison)
wrote: Art wrote: "We can then use the absolute standard equation of E = I R." For ac (RF) that`s not true. The formula is E=IZ, where Z includes reactance and resistance in quadrature. I`m not piling on but some readers may believe Art. * Best regards, Ricxhard Harrison, KB5WZI Yes you are correct but the original equation was E=IR which preceeds the implication of impedance which is a derivative of my equation and came about with the addition of A.C. technology. If the impedance is totally resistive then my statement is not untrue Now to avoid the nitpicking are you saying that E=IZ cannot be used for calculations at the end of an antenna and if so" WHY " Art |
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