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#1
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It is sometime since I studied the matter, but there is a formula
that describes the energy assocaited with an antenna, and it is made up of two parts, for the near field and for the far field. That part for the far field has the length of the antenna in terms of fractions of a wavelength. That part for the near field shows the local stored energy which is indicative of the antenna system being an oscilatory store of energy which must dissipate as heat if it is not reflected back down the feeder. I cannot, for the moment, locate that formula. Can anyone else whilst I search through the various EM tomes here? |
#2
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"gareth" wrote in message
... It is sometime since I studied the matter, but there is a formula that describes the energy assocaited with an antenna, and it is made up of two parts, for the near field and for the far field. That part for the far field has the length of the antenna in terms of fractions of a wavelength. That part for the near field shows the local stored energy which is indicative of the antenna system being an oscilatory store of energy which must dissipate as heat if it is not reflected back down the feeder. I cannot, for the moment, locate that formula. Can anyone else whilst I search through the various EM tomes here? PS. Perhaps Reay with his claimed technical superiority over me would be so good as to quote it? |
#3
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On 10/10/2014 04:44 AM, gareth wrote:
It is sometime since I studied the matter, but there is a formula that describes the energy assocaited with an antenna, and it is made up of two parts, for the near field and for the far field. That part for the far field has the length of the antenna in terms of fractions of a wavelength. That part for the near field shows the local stored energy which is indicative of the antenna system being an oscilatory store of energy which must dissipate as heat if it is not reflected back down the feeder. I cannot, for the moment, locate that formula. Can anyone else whilst I search through the various EM tomes here? Hello, and are you looking for the formula for the E & H fields for a small dipole or a small loop or some other antenna? "Bible" antenna reference books such as Kraus or Jasik provide these formulas. For example for a small loop (magnetic dipole) we have for the radiated (far) E and H fields: E (phi) = (120 * pi^2 *N *A * I * sin(theta))/(r * lambda^2) H (theta) = (pi * N * A * I * sin(theta))/r * lambda^2) where r is the distance from antenna, I is the uniform loop current, N is the number of loop turns, A is the loop area and lambda is the wavelength The small loop is assumed to lie in the x-y plane of an x-y-z orthogonal Cartesian coordinate system where theta and phi are the angles measured from the z-axis and x-axis, respectively. Be advised that the above E and H formulas only apply in the far field; the general expressions for E and H regardless of the distance from the antenna are somewhat more complicated. Hope this helps and 73s from N4GGO, -- J. B. Wood e-mail: |
#4
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"J.B. Wood" wrote in
: The small loop is assumed to lie in the x-y plane of an x-y-z orthogonal Cartesian coordinate system where theta and phi are the angles measured from the z-axis and x-axis, respectively. Just two axes? I've been asking on and off for advice on something... I was shown a nice design for a loop a few weeks ago, it was a helix, so in 3 axes. What advantage if any does that give over a loop in only two axes? As a guess I'll suggest it offers finer directional selectivity, but I'm hoping someone who really knows about this can tell me. |
#5
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On 10/10/2014 10:04 AM, Lostgallifreyan wrote:
"J.B. Wood" wrote in : The small loop is assumed to lie in the x-y plane of an x-y-z orthogonal Cartesian coordinate system where theta and phi are the angles measured from the z-axis and x-axis, respectively. Just two axes? I've been asking on and off for advice on something... I was shown a nice design for a loop a few weeks ago, it was a helix, so in 3 axes. What advantage if any does that give over a loop in only two axes? As a guess I'll suggest it offers finer directional selectivity, but I'm hoping someone who really knows about this can tell me. Hello, and the small loop of uniform current is assumed to be lying flat in the x-y plane. Textbooks do this to facilitate/simplify calculation; the loop could be oriented in any direction (which is what would happen if we rotate the original xyz orthogonal axes to some new xyz axes but keep the loop stationary). The E and H far-field formulas I previously provided give magnitude and direction of these vectors using spherical coordinates (r, theta, phi) relative to a Cartesian system. If you don't understand coordinate systems and vectors then I can see why you might be confused. Oh yeah, and one other thing that often escapes folks: You can't radiate either an E or H field by itself. The other component is always present. That's why we talk about the propagation of electromagnetic waves/photons. Sincerely, -- J. B. Wood e-mail: |
#6
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"gareth" wrote in message
... "gareth" wrote in message ... It is sometime since I studied the matter, but there is a formula that describes the energy assocaited with an antenna, and it is made up of two parts, for the near field and for the far field. That part for the far field has the length of the antenna in terms of fractions of a wavelength. That part for the near field shows the local stored energy which is indicative of the antenna system being an oscilatory store of energy which must dissipate as heat if it is not reflected back down the feeder. I cannot, for the moment, locate that formula. Can anyone else whilst I search through the various EM tomes here? PS. Perhaps Reay with his claimed technical superiority over me would be so good as to quote it? Hullo? Brian? |
#7
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"J.B. Wood" wrote in
: The E and H far-field formulas I previously provided give magnitude and direction of these vectors using spherical coordinates (r, theta, phi) relative to a Cartesian system. If you don't understand coordinate systems and vectors then I can see why you might be confused. I'll admit to that. ![]() pointed so the axis of the 'cylinder' would point to the stantion wanted, and was laid with an open coil on a frame rather than wound like wire on a pully or other former that would bunch the windings as close as possible. I imagined that if ether form were pointed not-so-accurately at the right spot, the helical form might 'blur' the response, weakening it, allowing it to be more selective of something it WAS accurately pointed at. Other than this, I don't know why it would be built with this extra spacing per turn, because it limits easy portability. I assume there is a good reason, I just don't know it.. |
#8
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On Friday, October 10, 2014 3:06:36 PM UTC-5, Lostgallifreyan wrote:
"J.B. Wood" wrote in : The E and H far-field formulas I previously provided give magnitude and direction of these vectors using spherical coordinates (r, theta, phi) relative to a Cartesian system. If you don't understand coordinate systems and vectors then I can see why you might be confused. I'll admit to that. ![]() pointed so the axis of the 'cylinder' would point to the stantion wanted, and was laid with an open coil on a frame rather than wound like wire on a pully or other former that would bunch the windings as close as possible. I imagined that if ether form were pointed not-so-accurately at the right spot, the helical form might 'blur' the response, weakening it, allowing it to be more selective of something it WAS accurately pointed at. Other than this, I don't know why it would be built with this extra spacing per turn, because it limits easy portability. I assume there is a good reason, I just don't know it.. I don't think it's really too critical. Solenoid or pancake wound, I doubt you would notice enough difference to worry about. Also the wire spacing is not very critical either. Some I've built with insulated wire, I had the wire tightly wound with no real spacing. The insulation adds some spacing, and the wires can't short against each other due to it. If I use uninsulated wire, I'll usually have a bit of spacing to make sure the wires won't touch due to movement, etc. I wind those pretty taut, so it's not a problem as long as you have a slight space between the wires even with the bigger loops. Anyway, do it whatever way you want.. There won't be enough difference to worry about as long as it's tuned. |
#9
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On Friday, October 10, 2014 3:06:36 PM UTC-5, Lostgallifreyan wrote:
I imagined that if ether form were pointed not-so-accurately at the right spot, the helical form might 'blur' the response, weakening it, allowing it to be more selective of something it WAS accurately pointed at. Lack of balance is what will cause problems. It can skew the pattern a bit, and the nulls won't be as deep. But how you wind the coil won't effect balance too much as long as everything is symmetrical and no feedline issues. |
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