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#1
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On Mar 30, 11:31*am, Jim Lux wrote:
I would imagine that the pattern of the helically loaded and the unloaded will be quite similar at ANY frequency, until you get to where the *diameter* of the assembly starts to be a significant fraction of a wavelength. A helical longer than a few degrees will exhibit transmission line effects. A helical that is electrically 180 degrees long will have essentially the same standing wave current envelope as a 180 degree long open-circuit transmission line stub. EZNEC agrees. John said his 180 degree electrically long helical outperformed his electrically long 90 degree helical. The standing-wave current envelope for the 90 degree helical is a cosine with the current maximum at the feedpoint. The standing-wave current envelope for the 180 degree long helical is a sine wave with the current maximum point in the middle of the helical. They would not have the same radiation patterns. EZNEC agrees. Again, I have modeled these conditions using EZNEC and I am reporting the results. The "Currents" button will give the current magnitude/ phase for each segment in the helical. -- 73, Cecil, w5dxp.com |
#2
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"Cecil Moore" wrote
The standing-wave current envelope for the 180 degree long helical is a sine wave with the current maximum point in the middle of the helical. That is true ONLY if the end-to-end length (height) of a normal-mode helical monopole occupies about 180 degrees of a free-space wavelength. If that helix occupies only about 90 degrees of a free-space wavelength, then no matter how much linear wire length is contained in the coils of the helix, that helical radiator will have the radiation resistance, pattern and directivity characteristics of a 90-degree linear monopole of the same end-to-end height. The length of coiled wire in a helix of any physical length makes very little difference in the current distribution along its aperture, its directivity, or its radiation patterns. Please forget about your previous posting. We are not talking about 6 deg. electrically short helicals. Rather than suggesting that my previous posting(s) on this subject should be forgotten, perhaps they should be re-read -- especially the link to http://i62.photobucket.com/albums/h8...le_Current.gif . |
#3
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P.S.
Both linear, and helical normal-mode monopoles of ~6 degrees physical aperture (and less) can be made resonant at the operating frequency via a suitable inductance placed either in the monopole itself, or at its feedpoint. But resonance so achieved does NOT mean that such monopole radiators will have a very useful amount of radiation resistance, or that such a resonant condition equates to the performance of a radiator that is resonant without the need for such an additional inductance. This reality appears to have been overlooked in some of the earlier posts in this thread. |
#4
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On Mar 30, 5:58*pm, "Richard Fry" wrote:
If that helix occupies only about 90 degrees of a free-space wavelength, then no matter how much linear wire length is contained in the coils of the helix, that helical radiator will have the radiation resistance, pattern and directivity characteristics of a 90-degree linear monopole of the same end-to-end height. I just modeled a 5.25' long helical using EZNEC at the 270 degree 3rd harmonic frequency of 26.5 MHz. Both helical and whip are modeled as lossless. If I understand you correctly, the 270 degree helical should have a TOA equal to a 5.25' whip. The TOAs differ by 6 degrees. The maximum gain of the 5.25' whip is -0.25 dBi. The maximum gain of the 270 degree helical of the same length is +0.29 dBi, a difference of 0.54 dB. The 5.25' whip is1/4WL resonant at 45.3 MHz with a maximum gain of -0.25 dBi at a TOA of 27 degrees. The 5.25' helical at 45.3 MHz has a gain of -3.13 dBi at a TOA of 24 degrees, a difference of 2.88 dBi and 3 degrees. -- 73, Cecil, w5dxp.com |
#5
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"Cecil Moore" wrote:
I just modeled a 5.25' long helical using EZNEC at the 270 degree 3rd harmonic frequency of 26.5 MHz. Both helical and whip are modeled as lossless. If I understand you correctly, the 270 degree helical ... A normal-mode helical with a radiating aperture of 5.25' is not a "270 degree" radiator on 26.5 MHz. It is a ~ 51 degree radiator on that frequency. |
#6
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On Mar 31, 10:58*am, "Richard Fry" wrote:
A normal-mode helical with a radiating aperture of 5.25' is not a "270 degree" radiator on 26.5 MHz. *It is a ~ 51 degree radiator on that frequency. This is making no sense to me so I fear we have some sort of semantic problem. I'm now not sure what you mean by "a radiating aperture of 5.25 feet". "The IEEE Dictionary" says: "In some cases, the aperture may be considered to be a line." I was assuming that the 5.25 feet aperture was akin to a line of straight wire 5.25 feet long or a 5.25 foot long (end to end) helical monopole. If that is not the case, please enlighten me on your definition of "aperture". EZNEC says my 5.25' (end-to-end) physically tall helical monopole is electrically 270 degrees long. I assumed that 5.25' is the length of a straight wire or the physical end-to-end length of the helix itself (not the linear length of the wire). The velocity factor of a helix is a function of the helix geometry and *varies widely with diameter and turn spacing*. The helix I designed using EZNEC has a current maximum at the feedpoint, a current minimum 1/3 of the distance up the helix, a current maximum 2/3 of the distance up the helix, and a current minimum at the end of the helix. That's 270 electrical degrees any way you cut it because *there is always 90 electrical degrees between the current maximum and current minimum in a standing wave*. The requirement that a 5.25' tall helical monopole has to satisfy to be 270 electrical degrees long on 26.5 MHz is to have a velocity factor of 5.25/27.85 = 0.1885 which is a piece of cake. The 5.25' is the actual end-to-end height of the helical monopole and the 27.85' is 3/4 of a wavelength in free space at 26.5 MHz. Note that the velocity factor is the distance a traveling wave travels in the helical medium in unit time compared to the distance a traveling wave travels in free space in the same unit time. Richard, this is giving me a headache - what am I missing? -- 73, Cecil, w5dxp.com |
#7
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Cecil -
The link below shows the NEC-2D results for the 3-m monopole whose geometry I posted earlier -- at its frequency of first self-resonance, and at 3X that frequency. We don't disagree as far as current distribution is concerned, but maybe in the belief that such a helix at an operating frequency that is 3X its first resonance has a practical benefit for users. The reason that it may not is traceable to the radiation resistances at each frequency w.r.t. a fixed amount of antenna system loss. http://i62.photobucket.com/albums/h8...d_Harmonic.gif |
#8
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On Mar 31, 7:10*pm, "Richard Fry" wrote:
We don't disagree as far as current distribution is concerned, but maybe in the belief that such a helix at an operating frequency that is 3X its first resonance has a practical benefit for users. I'm not saying that it has a benefit - just that a 270 degree electrically long antenna can never have the same radiation pattern as a 51 degree physical whip even if the physical length of the 270 degree helical antenna is physically 51 degrees. To be clear on what I am saying: Up to a certain percentage of a wavelength, the physical length of the antenna dictates the radiation pattern. Above that percentage of a wavelength, the theory falls apart. It is akin to assuming that the current distribution in the top portion of a monopole is a straight line. At some point, the straight line assumption fails because the current distribution is actually sinusoidal. -- 73, Cecil, w5dxp.com |
#9
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On Mar 31, 10:58*am, "Richard Fry" wrote:
A normal-mode helical with a radiating aperture of 5.25' is not a "270 degree" radiator on 26.5 MHz. *It is a ~ 51 degree radiator on that frequency. Sorry, I just noticed you are talking about physical length rather than electrical length. Do you agree that the helical is 270 degrees long *electrically* because there are two current maximum points and two current minimum points on the helical antenna that is 5.25 feet long? FP-Imax-////////////////////-Imin-////////////////////- Imax-////////////////////-Imin The Imax points are 3.5 feet apart. They are not very far apart compared to wavelength (~0.1WL) but they are far enough apart to raise the take-off-angle by 6 degrees for my particular helical according to EZNEC. With everything else being equal, when a 5.25 foot helical antenna has more than one current maximum point on the antenna, it will raise the take-off-angle by an amount correlated to the percentage of a wavelength spacing between the two current maximum points. Conclusion: What you have said seems to be a fact for antennas with only one current maximum. The presence of two (or more) current maximum points on the antenna modifies the take-off-angle according to the laws of radiation physics which is demonstrated by NEC using the method-of-moments algorithms. A 5.25' end-to-end helical is not the same as a "~51 degrees radiator on 26.5 MHz" when it has two (or more) current maximum points separated by, e.g. 0.1WL. The two take-off- angles are 20% different just as they should be. -- 73, Cecil, w5dxp.com |
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