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"George Dishman" wrote in news:f1mmtj$tr3$1
@news.freedom2surf.net: Suppose the unmodulated light has a frequency of fc. If you fire the modulated light at a grating There are two obvious possibilities, either you get a line with time varying intensity at an angle corresponding to fc, or you get a signal which has a carrier fc and two sidebands at +/- fm fc | fc-fm | fc+fm ______|____|____|______ and each frequency produces a line of constant intensity. Either way, you don't get any power at the angle corresponding to fm itself. IF the amplifiers following the mixer were flat from DC through light, you WOULD also have output at fm. Normally, however fm would be lost because it is far from the frequencies of interest. My understanding is that the stream contains a mixture of three frequencies of photons and if you have the resolving power in the grating, you get three lines correct. but a lower resolution will cause the lines to overlap and the interference then causes the time varying intensity. No. A detector follows the 'envelope' of the modulated signal and 'demodulates' it, producing fm. [all the above assumes A3A modulation commonly called AM or amplitude modulation]. -- bz please pardon my infinite ignorance, the set-of-things-I-do-not-know is an infinite set. remove ch100-5 to avoid spam trap |
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![]() "bz" wrote in message 98.139... "George Dishman" wrote in news:f1mmtj$tr3$1 @news.freedom2surf.net: Suppose the unmodulated light has a frequency of fc. If you fire the modulated light at a grating There are two obvious possibilities, either you get a line with time varying intensity at an angle corresponding to fc, or you get a signal which has a carrier fc and two sidebands at +/- fm fc | fc-fm | fc+fm ______|____|____|______ and each frequency produces a line of constant intensity. Either way, you don't get any power at the angle corresponding to fm itself. I am assuming fully linear mixing with modulation index 1, no sideband or carrier suppression. IF the amplifiers following the mixer were flat from DC through light, you WOULD also have output at fm. sin(a)*sin(b) = (cos(a-b) - cos(a+b))/2 So sin(fc.t)*(1+M*sin(fm.t)) = sin(fc.t) + M/2*(cos((fc-fm).t) - cos(((fc+fm).t)) There is no component at fm, only the three I listed. Normally, however fm would be lost because it is far from the frequencies of interest. My understanding is that the stream contains a mixture of three frequencies of photons and if you have the resolving power in the grating, you get three lines correct. but a lower resolution will cause the lines to overlap and the interference then causes the time varying intensity. No. A detector follows the 'envelope' of the modulated signal and 'demodulates' it, producing fm. Following the envelope is essentially peak detection with low pass filtering. Consider the effect of that on the diagram for 50% modulation: http://en.wikipedia.org/wiki/Amplitu...dulation_index Would you not describe that as a time varying amplitude or light intensity in the context? The amplitude of the carrier varies at rate fm. [all the above assumes A3A modulation commonly called AM or amplitude modulation]. A3A is single sideband, suppressed carrier. I was describing A3 mode, both sidebands, M1 and no carrier suppression. George |
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"George Dishman" wrote in
: "bz" wrote in message 98.139... "George Dishman" wrote in news:f1mmtj$tr3$1 @news.freedom2surf.net: Suppose the unmodulated light has a frequency of fc. If you fire the modulated light at a grating There are two obvious possibilities, either you get a line with time varying intensity at an angle corresponding to fc, or you get a signal which has a carrier fc and two sidebands at +/- fm fc | fc-fm | fc+fm ______|____|____|______ and each frequency produces a line of constant intensity. Either way, you don't get any power at the angle corresponding to fm itself. I am assuming fully linear mixing with modulation index 1, no sideband or carrier suppression. IF the amplifiers following the mixer were flat from DC through light, you WOULD also have output at fm. sin(a)*sin(b) = (cos(a-b) - cos(a+b))/2 So sin(fc.t)*(1+M*sin(fm.t)) = sin(fc.t) + M/2*(cos((fc-fm).t) - cos(((fc+fm).t)) There is no component at fm, only the three I listed. You may be correct. That math would seem to support it. I would have sworn that the modulating signal also WOULD appear if it were not filtered out. And it normally is because it is normally audio and the carrier is RF. For instance, in the case of mixing two signals that are close to the same frequency, as in a hetrodyne receiver, you get the sum, the difference and both f1 and f2. Normally, however fm would be lost because it is far from the frequencies of interest. My understanding is that the stream contains a mixture of three frequencies of photons and if you have the resolving power in the grating, you get three lines correct. but a lower resolution will cause the lines to overlap and the interference then causes the time varying intensity. No. A detector follows the 'envelope' of the modulated signal and 'demodulates' it, producing fm. Following the envelope is essentially peak detection with low pass filtering. Consider the effect of that on the diagram for 50% modulation: http://en.wikipedia.org/wiki/Amplitu...dulation_index Would you not describe that as a time varying amplitude or light intensity in the context? The amplitude of the carrier varies at rate fm. 2 points for you. [all the above assumes A3A modulation commonly called AM or amplitude modulation]. A3A is single sideband, suppressed carrier. I was describing A3 mode, both sidebands, M1 and no carrier suppression. Looks like either the designations have changed since I took my exams (first class radio telephone, 2nd class radio telegraph, amateur extra class) or my memory has played a nasty trick on me. A check of my handbooks shows that memory is the offending agent. A3 is double side band, A3A single, reduced carrier. A3J single, suppressed carrier. I notice that A3E is the current designation for double sideband with full carrier. Well, hopefully, it won't be the last time I am wrong about something. -- bz please pardon my infinite ignorance, the set-of-things-I-do-not-know is an infinite set. remove ch100-5 to avoid spam trap |
#4
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![]() "bz" wrote in message 98.139... "George Dishman" wrote in : "bz" wrote in message 98.139... "George Dishman" wrote in news:f1mmtj$tr3$1 @news.freedom2surf.net: Suppose the unmodulated light has a frequency of fc. If you fire the modulated light at a grating There are two obvious possibilities, either you get a line with time varying intensity at an angle corresponding to fc, or you get a signal which has a carrier fc and two sidebands at +/- fm fc | fc-fm | fc+fm ______|____|____|______ and each frequency produces a line of constant intensity. Either way, you don't get any power at the angle corresponding to fm itself. I am assuming fully linear mixing with modulation index 1, no sideband or carrier suppression. IF the amplifiers following the mixer were flat from DC through light, you WOULD also have output at fm. sin(a)*sin(b) = (cos(a-b) - cos(a+b))/2 So sin(fc.t)*(1+M*sin(fm.t)) = sin(fc.t) + M/2*(cos((fc-fm).t) - cos(((fc+fm).t)) There is no component at fm, only the three I listed. You may be correct. That math would seem to support it. I would have sworn that the modulating signal also WOULD appear if it were not filtered out. And it normally is because it is normally audio and the carrier is RF. The carrier apears because of the "(1+" term and likewise the modulating signal will slip through if there is a DC bias on the RF. In practical terms there usually will be in a physical circuit but not in the case of light incident on an optical modulator. As you say, it always gets filtered out. For instance, in the case of mixing two signals that are close to the same frequency, as in a hetrodyne receiver, you get the sum, the difference and both f1 and f2. For a perfect four-quadrant multiplier with no DC offsets, you only get sum and difference. f1 gets through if there is DC on the f2 signal and vice versa. [all the above assumes A3A modulation commonly called AM or amplitude modulation]. A3A is single sideband, suppressed carrier. I was describing A3 mode, both sidebands, M1 and no carrier suppression. Looks like either the designations have changed since I took my exams (first class radio telephone, 2nd class radio telegraph, amateur extra class) or my memory has played a nasty trick on me. A check of my handbooks shows that memory is the offending agent. A3 is double side band, A3A single, reduced carrier. A3J single, suppressed carrier. I notice that A3E is the current designation for double sideband with full carrier. I was never a ham though I had some friends who were, my interest was always in the digital side. I Googled and randomly got this page: http://jproc.ca/rrp/coverdale_ddr5k.html Well, hopefully, it won't be the last time I am wrong about something. No problem, I've learned more than you from this :-) George |
#5
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"George Dishman" wrote in news:f1o0ir$30m$1
@news.freedom2surf.net: I was never a ham though I had some friends who were, my interest was always in the digital side. I Googled and randomly got this page: http://jproc.ca/rrp/coverdale_ddr5k.html For something a bit more 'state of the art' http://www.elecraft.com/K3/K3_Data%20Sheet_rev06.pdf Well, hopefully, it won't be the last time I am wrong about something. No problem, I've learned more than you from this :-) Wanna bet? ![]() -- bz please pardon my infinite ignorance, the set-of-things-I-do-not-know is an infinite set. remove ch100-5 to avoid spam trap |
#6
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bz wrote:
For something a bit more 'state of the art' http://www.elecraft.com/K3/K3_Data%20Sheet_rev06.pdf What kind of funky microphone connector is on the front panel of this baby? Looks non-standard. Steve |
#8
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![]() "bz" wrote in message 98.139... "George Dishman" wrote in news:f1mmtj$tr3$1 @news.freedom2surf.net: Suppose the unmodulated light has a frequency of fc. If you fire the modulated light at a grating There are two obvious possibilities, either you get a line with time varying intensity at an angle corresponding to fc, or you get a signal which has a carrier fc and two sidebands at +/- fm fc | fc-fm | fc+fm ______|____|____|______ and each frequency produces a line of constant intensity. Either way, you don't get any power at the angle corresponding to fm itself. I am assuming fully linear mixing with modulation index 1, no sideband or carrier suppression. IF the amplifiers following the mixer were flat from DC through light, you WOULD also have output at fm. sin(a)*sin(b) = (cos(a-b) - cos(a+b))/2 So sin(fc.t)*(1+M*sin(fm.t)) = sin(fc.t) + M/2*(cos((fc-fm).t) - cos(((fc+fm).t)) There is no component at fm, only the three I listed. Normally, however fm would be lost because it is far from the frequencies of interest. My understanding is that the stream contains a mixture of three frequencies of photons and if you have the resolving power in the grating, you get three lines correct. but a lower resolution will cause the lines to overlap and the interference then causes the time varying intensity. No. A detector follows the 'envelope' of the modulated signal and 'demodulates' it, producing fm. Following the envelope is essentially peak detection with low pass filtering. Consider the effect of that on the diagram for 50% modulation: http://en.wikipedia.org/wiki/Amplitu...dulation_index Would you not describe that as a time varying amplitude or light intensity in the context? The amplitude of the carrier varies at rate fm. [all the above assumes A3A modulation commonly called AM or amplitude modulation]. A3A is single sideband, suppressed carrier. I was describing A3 mode, both sidebands, M1 and no carrier suppression. George |
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