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#11
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![]() wrote in message ... I've been using 4Nec2, a freeware antenna modeling program based on NEC-2 (Numerical Electromagnetic Code). I'm wondering if anyone could provide some insight as to just how it models current at the ends of wires that are not connected to anything (a.k.a. "free ends" or "open ends"). Does NEC-2 model "end caps" at free ends, which is equivalent to assuming wires are solid, or does it just set the current equal to zero at the free ends, which is equivalent to assuming wires are hollow? Is it possible that it does both, but the specific model is determined by the choice of computational kernel (extended vs. standard)? I've tried looking through some of the NEC-2 documentation, but I can't find a definitive answer. -Dave, K3WQ This is covered in: http://www.nec2.org/other/nec2prt1.pdf pp 11 - 12. Frank |
#12
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![]() "Art Unwin" wrote in message ... You should know better. i do know better than you. Years ago I pointed out that the extension of the Gaussian law of static results in Maxwells laws with extension via mathematics. absolutely worthless since guass's law was already a part of maxwell's equations, your 'addition' was worthless. All the answers you seek are written in that book and they agree perfectly with mine. nowhere does it include the weak farce in the maxwell's equations, nor does it ever mention your magical levitating diamagnetic neutrinos. |
#13
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On Jan 3, 9:33*am, "Frank" wrote:
wrote in message ... I've been using 4Nec2, a freeware antenna modeling program based on NEC-2 (Numerical Electromagnetic Code). I'm wondering if anyone could provide some insight as to just how it models current at the ends of wires that are not connected to anything (a.k.a. "free ends" or "open ends"). Does NEC-2 model "end caps" at free ends, which is equivalent to assuming wires are solid, or does it just set the current equal to zero at the free ends, which is equivalent to assuming wires are hollow? Is it possible that it does both, but the specific model is determined by the choice of computational kernel (extended vs. standard)? I've tried looking through some of the NEC-2 documentation, but I can't find a definitive answer. -Dave, K3WQ This is covered in:http://www.nec2.org/other/nec2prt1.pdf pp 11 - 12. Frank Thanks, Frank, for shining some light into a dark corner. I appreciate having that whole document now, too. Cheers, Tom |
#14
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On Jan 3, 11:40*am, "Dave" wrote:
"Art Unwin" wrote in message ... You should know better. i do know better than you. Years ago I pointed out that the extension of the Gaussian law of static results in Maxwells laws with extension via mathematics. absolutely worthless since guass's law was already a part of maxwell's equations, your 'addition' was worthless. Oh My! The Gaussian law included was NOT the law of statics What sort of school did you attend? All the answers you seek are written in that book and they agree perfectly with mine. nowhere does it include the weak farce in the maxwell's equations, nor does it ever mention your magical levitating diamagnetic neutrinos. That is only because it is not fully up to date just like many other technical books including Terman The World has spent millions of dollars on the C.E.R.N. project in Switzerland to investigate neutrious, the weak force and the Higgs field. They have a home page on the net why not take a moment to read it so that you will become up to date? Art |
#15
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![]() "Art Unwin" wrote in message ... Oh My! The Gaussian law included was NOT the law of statics What sort of school did you attend? there is only one gauss's law that is included in maxwell's equations, please state your equation so i may poke more holes in it. |
#16
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On Jan 3, 11:33*am, "Frank" wrote:
wrote in message ... I've been using 4Nec2, a freeware antenna modeling program based on NEC-2 (Numerical Electromagnetic Code). I'm wondering if anyone could provide some insight as to just how it models current at the ends of wires that are not connected to anything (a.k.a. "free ends" or "open ends"). Does NEC-2 model "end caps" at free ends, which is equivalent to assuming wires are solid, or does it just set the current equal to zero at the free ends, which is equivalent to assuming wires are hollow? Is it possible that it does both, but the specific model is determined by the choice of computational kernel (extended vs. standard)? I've tried looking through some of the NEC-2 documentation, but I can't find a definitive answer. -Dave, K3WQ This is covered in:http://www.nec2.org/other/nec2prt1.pdf pp 11 - 12. Frank Frank Please keep in mind the following NEC is based totally on the extremely thin wire where various assumption can be made such as equations being equal to zero in the limit., These same assumptions can not be held to when dealing with thick radiators despite the closeness of the approximations. Best regards Art |
#17
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On Jan 3, 12:25*pm, Art Unwin wrote:
On Jan 3, 11:33*am, "Frank" wrote: wrote in message .... I've been using 4Nec2, a freeware antenna modeling program based on NEC-2 (Numerical Electromagnetic Code). I'm wondering if anyone could provide some insight as to just how it models current at the ends of wires that are not connected to anything (a.k.a. "free ends" or "open ends"). Does NEC-2 model "end caps" at free ends, which is equivalent to assuming wires are solid, or does it just set the current equal to zero at the free ends, which is equivalent to assuming wires are hollow? Is it possible that it does both, but the specific model is determined by the choice of computational kernel (extended vs. standard)? I've tried looking through some of the NEC-2 documentation, but I can't find a definitive answer. -Dave, K3WQ This is covered in:http://www.nec2.org/other/nec2prt1.pdf pp 11 - 12. Frank Frank Please keep in mind the following NEC is based totally on the *extremely thin wire where various assumption can be made such as equations being equal to zero in the limit., These same assumptions can not be held to when dealing with thick radiators despite the closeness of the approximations. Best regards Art Calculus is based on homogenous materials or planes where you can refer dy/dx to some thing aproaching zero. In the case of using this aproach where the antenna diameter aproaches zero this is an invalid aproach for accuracy but O.K. for aproximations. So much for the foibles of theoretical mathematics. The vanishing thin radiator cannot be applied directly to a non homogenous material because at the limits of the the diameter is unable to support the presence of eddy currents(skin depth) . In other words the assumption of limi tess ness cannot be held if the presence of skin effect is true. Ofcourse if skin effect is not present then you have a DC current where only copper losses are present. As always with mathematics assumptions and preconditions are alway subject to examination. This in no way takes away from the advantages oif the NEC programs. Art |
#18
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Frank
Please keep in mind the following NEC is based totally on the extremely thin wire where various assumption can be made such as equations being equal to zero in the limit., These same assumptions can not be held to when dealing with thick radiators despite the closeness of the approximations. Best regards Art The reference at http://www.nec2.org/other/nec2prt1.pdf p 21 deals with the accuracey of NEC 2 in respect to the "Thin wire approximation". From the NEC-4, theory manual, p 21, para 4: ".... the NEC-4 wire model employes the extended boundary condition in the thin wire approximation, so that the current is treated as a tubular distribution on the wire surface......." Calculus is based on homogenous materials or planes where you can refer dy/dx to some thing aproaching zero. In the case of using this aproach where the antenna diameter aproaches zero this is an invalid aproach for accuracy but O.K. for aproximations. So much for the foibles of theoretical mathematics. Your comments about calculus are confusing. A derivative is always non-zero -- unless you are differentiating a constant. The homogeneity, or otherwise, of a material is irrelevant to the process of differentiation. The vanishing thin radiator cannot be applied directly to a non homogenous material because at the limits of the the diameter is unable to support the presence of eddy currents(skin depth) . In other words the assumption of limi tess ness cannot be held if the presence of skin effect is true. Most conductors are homogeneous. In fact I cannot think of a non-homogeneous conductor. Even in plated conductors the current flows in the plating. Of course if skin effect is not present then you have a DC current where only copper losses are present. As always with mathematics assumptions and preconditions are alway subject to examination. This in no way takes away from the advantages oif the NEC programs. Art Copper loss still exists for high frequency currents. 73, Frank |
#19
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On Jan 3, 2:44*pm, "Frank" wrote:
Frank Please keep in mind the following NEC is based totally on the extremely thin wire where various assumption can be made such as equations being equal to zero in the limit., These same assumptions can not be held to when dealing with thick radiators despite the closeness of the approximations. Best regards Art The reference athttp://www.nec2.org/other/nec2prt1.pdf*p 21 deals with the accuracey of NEC 2 in respect to the "Thin wire approximation". From the NEC-4, theory manual, p 21, para 4: ".... the NEC-4 wire model employes the extended boundary condition in the thin wire approximation, so that the current is treated as a tubular distribution on the wire surface......." Calculus is based on homogenous materials or planes where you can refer dy/dx to some thing aproaching zero. In the case of using this aproach where the antenna diameter aproaches zero this is an invalid aproach for accuracy but O.K. for aproximations. So much for the foibles of theoretical mathematics. Your comments about calculus are confusing. *A derivative is always non-zero -- unless you are differentiating a constant. The homogeneity, or otherwise, of a material is irrelevant to the process of differentiation. That is exactly my point. The skin is not hogenoius even if you consider the resistive action to be constant in depth thus you cannot put a limit on the thicknes or diameter of the radiator! If you do put a limit anyway on skin depth then you cannot apply the reasoning to a hollow tube. We can talk back and forwards for ever on the analogy provided with vanishingly thin radiators but until we break apart the mathematics such that there is a reflection at the end of a radiator the posters question cannot be answered. If one is to model the situation as Cecil suggests we must first determine how and where the reflection is created and the applied math provided to support it. I can see no reference via mathematics that shows the reversal or reflection of current flow prior to the end of a cycle.If there were such an instance then there must be a determination of the resistance radiation or otherwise so that any assumption made is factual. The vanishing thin radiator cannot be applied directly to a non homogenous material because at the limits of the *the diameter is unable to support the presence of eddy currents(skin depth) . In other words the assumption of limi tess ness cannot be held if the presence of skin effect is true. Most conductors are homogeneous. *In fact I cannot think of a non-homogeneous conductor. *Even in plated conductors the current flows in the plating. No that is not true as homogenous implies equilibrium and for skin depth the value (e) comes into beingor what so0me would refer to as decay Of course if skin effect is not present then you have a DC current where only copper losses are present. As always with mathematics assumptions and preconditions are alway subject to examination. This in no way takes away from the advantages oif the NEC programs. Art Copper loss still exists for high frequency currents. Very true Frank but the radiation resistance plus the resistance encoutered by surface flow is not related/ proportional to the pure copper losses where skin resistance is not present where in the absence of skin depth leaves one with DC pulses. I am ofcourse still interested what the NEC programs show for reflection and consequental resistance which I believe was in Cecil's thoughts to determine the truth. Hopefully the dialogue between you and I will not drop to the level of David's where he contendes that Gaussian law of STATICS is one of the basic laws that Maxwell applied/used without the required proof..On top of which he denies the applicability of statics with electro magnetics thus any mathematical aproach cannot be applicable which is absolutely crazy The thrust of this thread is solely on the difference of radiation with respect to hollow radiators and solid radiators and it should be kept at that to provide a reasonable answer as required in any formal debate. 73, *Frank |
#20
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![]() "Art Unwin" wrote in message ... On Jan 3, 2:44 pm, "Frank" wrote: David's where he contendes that Gaussian law of STATICS is one of the basic laws that Maxwell applied/used without the required proof..On top of which he denies the applicability of statics with electro magnetics thus any mathematical aproach cannot be applicable which is absolutely crazy well art, here is your proof, from the same ramo whinnery and van duzer book you like to quote.... compare equation (2) in section 2.09 with equation (1) in section 4.07. note there is no time in either one of them... and section 2 is specifically about stationary fields, while sectino 4 is maxwell's equations. only 2 of maxwell's equations actually are about time varying fields, those are Faraday's law and Ampere's law. The other two are Gauss's law taken straight from the static case, and the equivalent for magnetic flux... both of which are time invarient. The thrust of this thread is solely on the difference of radiation with respect to hollow radiators and solid radiators and it should be kept at that to provide a reasonable answer as required in any formal debate. the only thing hollow about this debate is your head. |
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