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#21
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Circular polarization... does it have to be synchronous??
Something just occurred to me. I did get to thinking.
My previous answers were wrong. Peter's spinning antenna wouldn't produce a circularly polarized wave (as universally defined) even if it was synchronous with the wave frequency. As I've said, a circularly polarized wave has constant E field amplitude; Peter's wave would have a time-varying amplitude. If it were synchronous, the nulls and peaks would always occur at the same places in the rotation cycle, so they would occur at fixed angles relative to a rotational reference point. If non-synchronous, the nulls and peaks would rotate at the beat frequency. It seems to me that the way to mechanically generate a circularly polarized wave would be to rotate a source of *static* E field, for example, a short dipole with constant applied DC voltage at the feedpoint. That should produce a circularly polarized wave with the frequency being the rotational frequency of the dipole. At any point in space, the E field would change with time, and would propagate, and it would look exactly like a circularly polarized wave broadside to the rotation plane. If the scheme works and radiation is occurring, then power must be going into the antenna, which in turn means it's drawing current that's in phase with the applied voltage. When stopped, no current will flow, but when rotating, it does. So how does the antenna know it's rotating? How about this -- if you instantaneously move the antenna into some position, a static E field appears there, and propagates outward at the speed of light. Closer in than the leading edge of the propagating wave, the field is static. When we rotate the dipole to a new position, it moves through the field from its previous position, which induces a current in it. Hence the current. It's fundamentally a generator, with the field being in the air. I'd be willing to bet a moderate sum that if you did apply a DC voltage to a dipole and rotated it, you'd see an alternating current with a frequency equal to the frequency of rotation, and a circularly polarized wave broadside to the antenna. I suspect that the current and the radiated field increase in amplitude with rotational speed, so you might have to get it going really fast before you can detect the effects. Now there's some food for thought. Roy Lewallen, W7EL |
#22
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Circular polarization... does it have to be synchronous??
In article tonline, Roy
Lewallen wrote: Then some education is in order. Electromagnetic waves are elliptically polarized. The two extreme special cases of this are linear and circular (with axial ratio of zero -- or infinite depending on your choice of definition -- and one respectively). There are an infinite number of other possible elliptical polarizations with different axial ratios. Hello, and that's quite correct, Roy. Having read the OP's statements and others in this thread I would like to recommend that one step back from antennas for a moment in order to examine the generation of an ellipse (representing the locus of points of a rotating E (or H) field. The parametric equations take the form x(t) = A*cos(2*pi*f*t) and y(t) = B*cos(2*pi*f*t + phi). (These equations are of the same form that generate the familiar Lissajous patterns except that for Lissajous the x and y values differ in frequeny.) While polarization is a convenient concept in electromagnetic wave propagaion there's no reason that we couldnt just treat it as the superposition of two separate Ex (or Hx) and Ey (or Hy) waves. Of course we have to pay attention to amplitude and phase relationships. I think investing some time with this math (it's not all that difficult) will provide one with insight into the concept of polarization and perhaps head off some misconception. If anyone is interested and has Mathcad, I've got a worksheet that allows one to vary these parameters, plots the resulting ellipse (or circle or line) and also calculates ellipticity (axial ratio) and eccentricity. Sincerely, and 73s from N4GGO, John Wood (Code 5550) e-mail: Naval Research Laboratory 4555 Overlook Avenue, SW Washington, DC 20375-5337 |
#23
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Circular polarization... does it have to be synchronous??
J. B. Wood wrote:
I think investing some time with this math (it's not all that difficult) will provide one with insight into the concept of polarization and perhaps head off some misconception. If anyone is interested and has Mathcad, I've got a worksheet that allows one to vary these parameters, plots the resulting ellipse (or circle or line) and also calculates ellipticity (axial ratio) and eccentricity. Sincerely, and 73s from N4GGO, All I have to know is that Circular Polarization always helps when one end of the path is prone to random polarizations, even with the 3 dB power loss. |
#24
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Circular polarization... does it have to be synchronous??
"Roy Lewallen" wrote in message treetonline... Something just occurred to me. I did get to thinking. My previous answers were wrong. Peter's spinning antenna wouldn't produce a circularly polarized wave (as universally defined) even if it was synchronous with the wave frequency. As I've said, a circularly polarized wave has constant E field amplitude; Peter's wave would have a time-varying amplitude. If it were synchronous, the nulls and peaks would always occur at the same places in the rotation cycle, so they would occur at fixed angles relative to a rotational reference point. If non-synchronous, the nulls and peaks would rotate at the beat frequency. It seems to me that the way to mechanically generate a circularly polarized wave would be to rotate a source of *static* E field, for example, a short dipole with constant applied DC voltage at the feedpoint. That should produce a circularly polarized wave with the frequency being the rotational frequency of the dipole. At any point in space, the E field would change with time, and would propagate, and it would look exactly like a circularly polarized wave broadside to the rotation plane. If the scheme works and radiation is occurring, then power must be going into the antenna, which in turn means it's drawing current that's in phase with the applied voltage. When stopped, no current will flow, but when rotating, it does. So how does the antenna know it's rotating? How about this -- if you instantaneously move the antenna into some position, a static E field appears there, and propagates outward at the speed of light. Closer in than the leading edge of the propagating wave, the field is static. When we rotate the dipole to a new position, it moves through the field from its previous position, which induces a current in it. Hence the current. It's fundamentally a generator, with the field being in the air. I'd be willing to bet a moderate sum that if you did apply a DC voltage to a dipole and rotated it, you'd see an alternating current with a frequency equal to the frequency of rotation, and a circularly polarized wave broadside to the antenna. I suspect that the current and the radiated field increase in amplitude with rotational speed, so you might have to get it going really fast before you can detect the effects. Now there's some food for thought. Roy Lewallen, W7EL A source of endless coffee-time debates where I used to work! No, the current into the rotating dipole would be DC and the means of rotation at the radio frequency would take the place of the 'transmitter'. If the current were alternating then the radiated electric field would be discontinuous but it isn't; it has constant magnitude. Between two such systems separated by many wavelengths, if there were no anisotropic material around, reciprocity would apply and a means of conveying DC by radio would be created! However, intriguing and amusing as this analogy might be I wonder if it really has any practical value. For real mechanical rotating parts the frequency would be limited to something rather low like the tens of kHz at which Alexanderson alternators work, and then the wavelength would be so long that it would probably be impossible to construct an efficient radiator*. The quickest moving antenna I've encountered was a commutated plasma antenna, using a construction similar to a 'dekatron' tube, but even then the length of the radiator was so small that SHF would be needed to achieve worthwhile radiation efficiency* and the maximum commutation speed was limited to a few MHz by the time it takes to establish the plasma at each step in the commutation cycle. *(Of course, the conventional principles of radiation resistance vs. loss resistance may need 'massaging' to bring them into line with the concept of creating transverse waves by rotating a dipole connected to a battery!) Chris |
#25
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Circular polarization... does it have to be synchronous??
"christofire" wrote in message ... "Roy Lewallen" wrote in message treetonline... Something just occurred to me. I did get to thinking. My previous answers were wrong. Peter's spinning antenna wouldn't produce a circularly polarized wave (as universally defined) even if it was synchronous with the wave frequency. As I've said, a circularly polarized wave has constant E field amplitude; Peter's wave would have a time-varying amplitude. If it were synchronous, the nulls and peaks would always occur at the same places in the rotation cycle, so they would occur at fixed angles relative to a rotational reference point. If non-synchronous, the nulls and peaks would rotate at the beat frequency. It seems to me that the way to mechanically generate a circularly polarized wave would be to rotate a source of *static* E field, for example, a short dipole with constant applied DC voltage at the feedpoint. That should produce a circularly polarized wave with the frequency being the rotational frequency of the dipole. At any point in space, the E field would change with time, and would propagate, and it would look exactly like a circularly polarized wave broadside to the rotation plane. If the scheme works and radiation is occurring, then power must be going into the antenna, which in turn means it's drawing current that's in phase with the applied voltage. When stopped, no current will flow, but when rotating, it does. So how does the antenna know it's rotating? How about this -- if you instantaneously move the antenna into some position, a static E field appears there, and propagates outward at the speed of light. Closer in than the leading edge of the propagating wave, the field is static. When we rotate the dipole to a new position, it moves through the field from its previous position, which induces a current in it. Hence the current. It's fundamentally a generator, with the field being in the air. I'd be willing to bet a moderate sum that if you did apply a DC voltage to a dipole and rotated it, you'd see an alternating current with a frequency equal to the frequency of rotation, and a circularly polarized wave broadside to the antenna. I suspect that the current and the radiated field increase in amplitude with rotational speed, so you might have to get it going really fast before you can detect the effects. Now there's some food for thought. Roy Lewallen, W7EL A source of endless coffee-time debates where I used to work! No, the current into the rotating dipole would be DC and the means of rotation at the radio frequency would take the place of the 'transmitter'. If the current were alternating then the radiated electric field would be discontinuous but it isn't; it has constant magnitude. Between two such systems separated by many wavelengths, if there were no anisotropic material around, reciprocity would apply and a means of conveying DC by radio would be created! However, intriguing and amusing as this analogy might be I wonder if it really has any practical value. For real mechanical rotating parts the frequency would be limited to something rather low like the tens of kHz at which Alexanderson alternators work, and then the wavelength would be so long that it would probably be impossible to construct an efficient radiator*. The quickest moving antenna I've encountered was a commutated plasma antenna, using a construction similar to a 'dekatron' tube, but even then the length of the radiator was so small that SHF would be needed to achieve worthwhile radiation efficiency* and the maximum commutation speed was limited to a few MHz by the time it takes to establish the plasma at each step in the commutation cycle. *(Of course, the conventional principles of radiation resistance vs. loss resistance may need 'massaging' to bring them into line with the concept of creating transverse waves by rotating a dipole connected to a battery!) Chris Hi Chris I am not smart enough to analyze the effects of rotating a dipole with DC applied to it, but I have doubts that it would create a "far field". Did you guys ever figure out how the "DC dipole" generates a Far Field? Jerry KD6JDJ |
#26
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Circular polarization... does it have to be synchronous??
christofire wrote:
A source of endless coffee-time debates where I used to work! No, the current into the rotating dipole would be DC and the means of rotation at the radio frequency would take the place of the 'transmitter'. If the current were alternating then the radiated electric field would be discontinuous but it isn't; it has constant magnitude. Between two such systems separated by many wavelengths, if there were no anisotropic material around, reciprocity would apply and a means of conveying DC by radio would be created! Now that I think about it, you're right -- the current would have to be DC, so there would be only DC power into the dipole. Interesting that you and your co-workers thought of and debated this. I've given it less than an hour of thought since it popped into my head, so you've had a lot more time to work out the details. Sounds like it might work something like I described, then. However, intriguing and amusing as this analogy might be I wonder if it really has any practical value. For real mechanical rotating parts the frequency would be limited to something rather low like the tens of kHz at which Alexanderson alternators work, and then the wavelength would be so long that it would probably be impossible to construct an efficient radiator*. The quickest moving antenna I've encountered was a commutated plasma antenna, using a construction similar to a 'dekatron' tube, but even then the length of the radiator was so small that SHF would be needed to achieve worthwhile radiation efficiency* and the maximum commutation speed was limited to a few MHz by the time it takes to establish the plasma at each step in the commutation cycle. I can't see where this could possibly be of any practical use. For me it was simply a mind exercise spurred by Peter's musings, resulting from wondering just how a mechanical system could be made to generate a CP wave. *(Of course, the conventional principles of radiation resistance vs. loss resistance may need 'massaging' to bring them into line with the concept of creating transverse waves by rotating a dipole connected to a battery!) Indeed. And it seems there wouldn't be any skin effect, then, with only DC going to the wire. And what about current distribution on the dipole? Roy Lewallen, W7EL |
#27
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Circular polarization... does it have to be synchronous??
"Roy Lewallen" wrote in message treetonline... christofire wrote: A source of endless coffee-time debates where I used to work! No, the current into the rotating dipole would be DC and the means of rotation at the radio frequency would take the place of the 'transmitter'. If the current were alternating then the radiated electric field would be discontinuous but it isn't; it has constant magnitude. Between two such systems separated by many wavelengths, if there were no anisotropic material around, reciprocity would apply and a means of conveying DC by radio would be created! Now that I think about it, you're right -- the current would have to be DC, so there would be only DC power into the dipole. Interesting that you and your co-workers thought of and debated this. I've given it less than an hour of thought since it popped into my head, so you've had a lot more time to work out the details. Sounds like it might work something like I described, then. However, intriguing and amusing as this analogy might be I wonder if it really has any practical value. For real mechanical rotating parts the frequency would be limited to something rather low like the tens of kHz at which Alexanderson alternators work, and then the wavelength would be so long that it would probably be impossible to construct an efficient radiator*. The quickest moving antenna I've encountered was a commutated plasma antenna, using a construction similar to a 'dekatron' tube, but even then the length of the radiator was so small that SHF would be needed to achieve worthwhile radiation efficiency* and the maximum commutation speed was limited to a few MHz by the time it takes to establish the plasma at each step in the commutation cycle. I can't see where this could possibly be of any practical use. For me it was simply a mind exercise spurred by Peter's musings, resulting from wondering just how a mechanical system could be made to generate a CP wave. *(Of course, the conventional principles of radiation resistance vs. loss resistance may need 'massaging' to bring them into line with the concept of creating transverse waves by rotating a dipole connected to a battery!) Indeed. And it seems there wouldn't be any skin effect, then, with only DC going to the wire. And what about current distribution on the dipole? Roy Lewallen, W7EL Hi Roy I have problems with believing there will be any current in either dipole. What am I missing? Jerry KD6JDJ |
#28
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Circular polarization... does it have to be synchronous??
Jerry wrote:
I am not smart enough to analyze the effects of rotating a dipole with DC applied to it, but I have doubts that it would create a "far field". Did you guys ever figure out how the "DC dipole" generates a Far Field? Jerry KD6JDJ It requires energy to create a far field, since the far field is a form of energy. I explained why I thought power might be consumed by the antenna -- current would flow due to coupling with the field still present from previous positions (although I mentioned alternating current while Chris correctly pointed out that it would have to be DC). I don't see any problem with conversion of the DC into AC. It's done all the time with spinning magnets -- look at the alternator in your car for example. And in times of yore, RF was generated directly with high speed alternators. The principle is very similar to, if not exactly the same as, the scheme I described. The whole thing is just a mental exercise to help gain a better understanding of the nature of a circularly polarized field. Roy Lewallen, W7EL |
#29
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Circular polarization... does it have to be synchronous??
"Roy Lewallen" wrote in message ... Jerry wrote: I am not smart enough to analyze the effects of rotating a dipole with DC applied to it, but I have doubts that it would create a "far field". Did you guys ever figure out how the "DC dipole" generates a Far Field? Jerry KD6JDJ It requires energy to create a far field, since the far field is a form of energy. I explained why I thought power might be consumed by the antenna -- current would flow due to coupling with the field still present from previous positions (although I mentioned alternating current while Chris correctly pointed out that it would have to be DC). I don't see any problem with conversion of the DC into AC. It's done all the time with spinning magnets -- look at the alternator in your car for example. And in times of yore, RF was generated directly with high speed alternators. The principle is very similar to, if not exactly the same as, the scheme I described. The whole thing is just a mental exercise to help gain a better understanding of the nature of a circularly polarized field. Roy Lewallen, W7EL Indeed, and I would add that the spinning dipole fed with a constant voltage appears the same as a stationary dipole fed with an alternating voltage with respect to any chosen linear polarisation. I was once told of a method of measuring the radiation patterns of large installed antennas by 'flying' near to them a small metal rod rotating about an axis that passes perpendicularly through the middle of the length of the rod. By detecting, synchronously with rotation of the rod, changes in the terminal VSWR (or reflection co-efficient for voltage) the near-field radiation pattern could be assessed (i.e. an impression of the aperture current distribution) from which the far-field patterns could be derived by Fourier transform in the normal way (acknowledgement is due to the late Dick Manton). There is a range of 3D angles over which the axis can vary without upsetting the measurement. I don't know if this was ever implemented, e.g. to measure the patterns of a television transmitting antenna - a helicopter carrying a measuring receiver is used in the far field nowadays. Chris |
#30
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Circular polarization... does it have to be synchronous??
"Jerry" wrote in message ... "Roy Lewallen" wrote in message treetonline... christofire wrote: A source of endless coffee-time debates where I used to work! No, the current into the rotating dipole would be DC and the means of rotation at the radio frequency would take the place of the 'transmitter'. If the current were alternating then the radiated electric field would be discontinuous but it isn't; it has constant magnitude. Between two such systems separated by many wavelengths, if there were no anisotropic material around, reciprocity would apply and a means of conveying DC by radio would be created! Now that I think about it, you're right -- the current would have to be DC, so there would be only DC power into the dipole. Interesting that you and your co-workers thought of and debated this. I've given it less than an hour of thought since it popped into my head, so you've had a lot more time to work out the details. Sounds like it might work something like I described, then. However, intriguing and amusing as this analogy might be I wonder if it really has any practical value. For real mechanical rotating parts the frequency would be limited to something rather low like the tens of kHz at which Alexanderson alternators work, and then the wavelength would be so long that it would probably be impossible to construct an efficient radiator*. The quickest moving antenna I've encountered was a commutated plasma antenna, using a construction similar to a 'dekatron' tube, but even then the length of the radiator was so small that SHF would be needed to achieve worthwhile radiation efficiency* and the maximum commutation speed was limited to a few MHz by the time it takes to establish the plasma at each step in the commutation cycle. I can't see where this could possibly be of any practical use. For me it was simply a mind exercise spurred by Peter's musings, resulting from wondering just how a mechanical system could be made to generate a CP wave. *(Of course, the conventional principles of radiation resistance vs. loss resistance may need 'massaging' to bring them into line with the concept of creating transverse waves by rotating a dipole connected to a battery!) Indeed. And it seems there wouldn't be any skin effect, then, with only DC going to the wire. And what about current distribution on the dipole? Roy Lewallen, W7EL Hi Roy I have problems with believing there will be any current in either dipole. What am I missing? Jerry KD6JDJ That's understandable. Chris |
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