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On Sun, 13 May 2007 15:13:25 +0100, "George Dishman"
wrote: "Henri Wilson" HW@.... wrote in message .. . On Sat, 12 May 2007 12:26:55 +0100, "George Dishman" lambda_r = D * sin(phi) / N apples universally. It applies...but it is of no value if the diffracted rays move at speeds other than c. Congratulations, you just discovered one of the problems of BaTh, gratings don't tell you the incoming wavelength. George, you are not showing much intelligence here. If a grating is being used to measure the speed of a star wrt Earth, my equation is perfectly adequate. The absolute wavelength a particular spectral line is known. Henry, stop and think and try to understand. I have said your equation is correct but it doesn't tell the whole story. The terms relating to v, u and the incident wavelength simplify to e the reflected wavelength. That can be found from the simpler equation I gave you above. Think of that as the first step in a process. Now to find the source motion, you need to measure lambda_i. No you don't. For any common spectral line, it is absolute, universal and known. That plus an assumption of the source wavelength gives you the Doppler shift. The trouble there is that you have no way to _measure_ v or u. You can make assumptions of course, such as v=u=0 if you attach the grating to a refractor and then you get a result, but they remain assumptions. What we were talking about though was the general "grating equation", not just its specific application to astronomy. In that context, the general equation is lambda_r = D * sin(phi) / N I would prefer to say "A general equation" not "THE general equation". Mine is a more general one. and the reason is fairly obvious when you look at the diagram, there needs to be a whole number of waves in the section marked "N lambda_r" http://www.georgedishman.f2s.com/Hen...ic_grating.gif If the grating is being used to measure an unknown wavelength, then so long as the source is at rest wrt the grating, the procedure will be exactly the same as the standard one, using the standard equation. The fact remains that the _general_ equation is what I said, the requirement is a whole number of waves on the _reflected_ beam, not the incident light. Mine is better. It includes factors that are not permitted in your theory. Obviously the frequency cannot change on reflection so you can use the second equation f = (c+v)/lambda_i = (c+u)/lambda_r but don't confuse that with the grating equation. The latter is a general equation in ballistic theory relating to reflection from any surface. That must be correct. Just let u=v and my equation iss the same as the classical one. Now you are trying to use a constant speed model, u is in general not equal to v in BaTh so you cannot make that assumption. How do you know what u is. That's my point, you don't. You do know lambda_r however because it can be found from D and phi. You do indeed. .......and since you know Lambda_i, you can now calculate c+u/c+v. You have been claiming u=v to make out the BaTh fails to explain sagnac. Have you changed your mind George? No, I have been pointing out that v=0 in Sagnac therefore u=0 whether the speed is the same or rest to c or something inbetween: http://www.briar.demon.co.uk/Henri/speed.gif My whole point is that your grating should not work in the HST while mine does. And my point is that your basic algebra is not even up to schoolboy level whaich means you are not even capable of working out the correct equation for BaTh even though you got the diagram right, and even after I did the algebra for you. there is nothing wrong with my algebra. ..and you know it... Other than the fact that you didn't finish it, right. I initially wanted to make the assumption that u = 0. That can be checked by comparing diffraction angles produced by identically marked transmission and reflection gratings. Sorry, they can also be exactly matched (better in fact) by the huff-puff mechanism which you know exists. Show me evidence from an eclipsing Cepheid that the phase is that of ADoppler instead of VDoppler. Name one eclipsing cepheid and I will. http://ebola.eastern.edu/model_display.php?model_id=186 Orbital period 1.3668 days. Cepheid variable period 0.0583 days. You have both luminosity and velocity on that page and you can also note the Shapiro effect on the velocity curve which clearly shows the near discontinuous change at the peak that I drew and you criticised before. I think all these velocity curves are nothing but guesses. I don't believe anyone actually measured doppler shift at the same time as they measured brightness. The phase of the velocity curve is that of VDoppler while that of the Cepheid is at an entirely frequency. Who said it's even a cepheid? I've been clear about what is needed, no amount of matching ever constitutes any proof at all, you need either to prove that huff-puff cannot match (which we know it does) or you need to show that the velocity curve is ADoppler related to the orbital phase using asome secondary reference such as an eclipse or Shapiro delay (though I can't see how you could measure that to be honest, it's not like the pulsars). George, in matching a curve, I have to select fairly precise values for eccentricity and yaw angle. For instance typical cepheids have eccentricity between about 0.15 and 4 and yaw angle -50 to -70. I don't need any of your vague - even imaginary - tools to tell me what's happening. You need another phase refernece to prove it matches ADoppler instead of VDoppler. Without that you have no way to disprove the alternative. So far you have nothing. No I don't. It tells me all I want to know. ...and the proportions of A and V doppler vary widely. Nope, VDoppler ADoppler in every case you have offered so far, including Cepheids. George, the whole theory behind brightness curves is based on the 'bunching' of light, which as you know as an 'acceleration' effect....ADoppler.... No Henry the theory is the equations "c+v" and dv/ds ... Luminosity curves are an _appliction_ of those equations. 'Bunching' and hence 'observed luminosity' is a result of differences in light speed due to the star's orbital movement. Cepheid and most variable stars have brightness and velocity curves that match ADoppler predictions. Prove it, I say they are totally due to the huff-puff mechanism. Nobody has managed to link the two effects yet... So what are you on about? You have no phase reference to show that the luminosity matches ADoppler. I know you can never fidn one because Cepheid variation is intrinsic, there is _no_ second body involved, but the way science works, I don't have to prove that, the onus is on you to provide proof that the phase is what you claim. http://www.users.bigpond.com/hewn/stupidjerry.jpg Not in my model George. It is of no use at all. Ah so you haven't used Fourier at all I see. Fourier analysis has always been the backbone of EM work. If you look at the screen of a spectrum analyser, that is what you are seeing. What's this got to do with this topic? The individual photons are particles. It is still "classical", and it doesn't match the velocity curves. It matches everything. Crap, it fails Sagnac, Shapiro and Ives and Stilwell. SR fails Sagnac. ROFL, Henry you are totally clueless. SR reverts to LET to explain sagnac. In fact it does so whenever it is called upon to find a physical connection to anything . Then you can back-calulate the speed and find it isn't c+v. If your maths had progressed beyond schoolboy level, you wouldn't need me to tell you that. ...says George, who can't even understand my simple grating equation.... ![]() Ah yes, that'll be the one I had to write for you: "George Dishman" wrote in message ... "Henri Wilson" HW@.... wrote in message ... see: www.users.bigpond.com/hewn/bathgrating.jpg Well done Henry. So your equation is lambda_i * (c+u) sin(phi) = --------------- D * (c+v) where lambda_i is the wavelength of the _incident_ light. The wavelength of the reflected light, lambda_r, is given by lambda_r c+u -------- = --- lambda_i c+v So your equation can also be written lambda_r sin(phi) = -------- D You have been claiming that the speed didn't appear in the equation and that wavelength couldn't change. One or the other is wrong. You also claimed the formula used frequency instead of wavelength but that too isn't true. Naturally you can replace the wavelength by speed over frequency but that just reintroduces speed in the equation. The lesson Henry, is to work out the equation before you start telling people what it contains. I had already pointed this out: lambda_r c+u -------- = --- lambda_i c+v I told YOU. George Yes I know that...but it is still very strange that Huygens principle infers that 'something' is radiating out over the full solid 360 degrees. Yes, that's what QED addresses. I have no idea how you will approach doing a non-classical version of ballistic theory. George, when it comes to explaining how light travels across the universe from one star to another I don't need QED or anything other than plain old ballistics. Emitted light has ONE reference, its source. I suggest you try it, they don't. I do that sort of stuff every day at work. Well try this experiment. Modulate a laser beam's intensity with a 1000 hz signal. Do the same with another laser only with a 1005 hz signal. Fire them both at a photocell and see what output you get. Bad experiment, you should have known that the photocell responds to the envelope, not the carrier. You accept the output will be the beat. There are no components at the amplitude variation frequancy, you need to study the difference between beats and heterodyning. George, performing a smartarse act doesn't impress me. Henry, yur "getting it wrong all the time" act impresses me even less. You are continually irelevancies. I think you're stalling for time. Modulation is when the AMPLITUDE of a carrier if varied according to a signal. For pure sine modulation, the result is a product of two sine waves. ...or a cos(a) - cos(b) wave. NO! If you modulate pure sines, it produces sin(a)*sin(b) which can be written as 1/2[cos(a-b) - cos(a+b)] That's what I said. More generally for smaller modulation factors there will be a DC bias on the modulating waveform (so you still have a carrier when the modulation goes through zero) so there is some energy at the carrier frequency but there is _none_ at the modulating frequency. There is energy in TWO waves. Both will be difffracted. Beating is also the sum of two sinewaves which, as you should know, can also be expressed as a product of a sin and a cos wave. Indeed, but the energy remains in the original frequencies sa superposition applies. A photocell measures the envelope, not the components. So really there isn't much difference.... The fundamental difference which you keep getting wrong is that the product produces sidebands while the sum doesn't, and neither has any energy at the modulating frequency. The 'sum' doesn't have to. The two frequencies will both be diffracted anyway. I think you're completely lost George. You don't know that. I do. A photon in a 1MHz signal is simply the smallest amount of power that can be emitted at that frequency and has a value given by Planck's constant and the frequency of 1MHz. Hahahahahaha! What if it arrives at 2c? So what? If a signal arrives at 1MHz moving at 2c, the smallest amount would still be a signal of 1MHz. Bear in mind Planck's equation was derived from the emission of black body radiation so the equation only holds at that instant in ballistic theory and you will need an alternative equation for energy at a later time. I thought you meant the 1 MHz was in relation to the source. Think of a photon as being like a long arrow.....maybe billions of wavelengths long....When fired from a laterally moving object, its 'axis' will generally not lie parallel to its velocity vector. Wavefronts are always perpendicular to the motion, remember Huygens. In this case the photon axis is not perpendicular to the wavefront. The axis is perpendicular to the surface by definition. If not, rotation about the axis changes the orientation of the surface. George, coinsider again what I said. If you fire an arrow towards a target from a moving car, its axis will not be in line with its direction of travel. Therefore an arrow is a bad analogy for a wave which always moves perpendicular to the wavefronts - Huygens again. It's certainly a bad analogy from YOUR point of view because you didn't think of it before and it collaposes your whole sagnac argument. Yes this one, check the maths, it's just Pythagoras. George, in light of my 'arrow revelation' if a photon is ten billion wavelengths long, how many wavelengths will one end be LATERALLY displaced from the other as it hits the mirror? I don't care Henry, lateral displacement has no effect since the wavefront is perpendicular to the direction of propagation. Consider two waves moving to the right: | | ---------+--- | | The second is displaced laterally: | ---------+--- | | | It changes nothing. You haven't changed the angle of the arrow. I have introduced a factor that has the potential to cause fringe shifts for very small angular velocities. The back end of a photon will hit the mirror at a different point from the front end. It can easily be displaced sideways by a number of wavelengths even at very small rotational speeds. George www.users.bigpond.com/hewn/index.htm Einstein's Relativity - the greatest HOAX since jesus christ's virgin mother. |
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