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Why are the 'Fixed Stars' so FIXED?
On Wed, 24 Oct 2007 21:47:32 -0700, Jerry
wrote: On Oct 24, 4:14 pm, HW@....(Dr. Henri Wilson) wrote: On Wed, 24 Oct 2007 02:13:45 -0700, Jerry wrote: On Oct 24, 3:10 am, George Dishman wrote: On 23 Oct, 22:32, HW@....(Clueless Henri Wilson) wrote: Incidentally, this also tends to suggest that the fringe production in a sagnac interferometer is something to do with the phase relationship between INCOMING and OUTGOING rays rather than the rejoining of the two oppositely moving rays...I know that sounds impossible...but is it? Yes, for two reasons. The simpler is that if you look at the arrangement of the beam splitter, the remaining light goes back to the lamp but the more robust is that there would be a path length difference of nearly a metre (the loop length) between the originated light and that which has bone round the loop. That grossly exceeds the coherence length for a filament source so there is no way to form fringes with a detectable contrast ratio. I think that you have gone -way- over Henri's head with mention of coherence length. To Henri: Early experimentalists such as Michelson and Morley, Sagnac etc. used monochromatic sources only during the alignment stages while setting up their interferometers. Actual experimental runs were always performed with white light. The reason for this is that white light creates a distinctive pattern of a central bright white fringe surrounded by a rapidly fading set of colored fringes. The advantage of this is that the central fringe of equal path length is always readily identifiable, whereas monochromatic light produces uniform fringes in which it is virtually impossible to determine the central fringe of equal path length. The distinctive pattern of fringes formed by white light enabled Michelson and Morley, who recorded their observations visually, not to "get lost" while figuring out how far their fringes were displaced from their fiducial marks. In the Michelson and Gale experiment, which was a giant Sagnac setup, the central fringe, in the absence of rotation, would appear precisely midway between the two images of the slit. This enabled them to calibrate their apparatus for zero rotational velocity; it was thus not necessary for them to halt the rotation of the Earth to get a zero reading, which would have been somewhat impractical in the absence of divine intervention (Joshua 10:12-15). Note that I stated that the pattern of colored fringes surrounding the central bright fringe fades rapidly. This is because the spacing between the red fringes and the blue fringes is different. Within a few fringe widths from the central fringe, the colored fringes overlap until the fringe pattern is no longer perceptible. Since each fringe represents a half wave difference in path length to the two images of the source slit, this means that the path lengths must be precisely matched, otherwise it would be impossible to see any fringes at all. This distance to which the path lengths must be matched, otherwise fringes are invisible, is known as the "coherence length". The coherence length for white light is no more than a handful of microns. Your notion that "fringe production in a sagnac interferometer is something to do with the phase relationship between INCOMING and OUTGOING rays rather than the rejoining of the two oppositely moving rays" is totally ridiculous to anybody who knows anything at all about optics. The sensible thing to do is use monochromatic light and tilt the top miror slightly in order to produce an 'optical wedge' effect. That produces a straight line fringe pattern rather than circles. Straight lines are easier to count than circles and in the case of gyros, make the direction of an acceleration easy to determine. You have COMPLETELY lost the point. Earlier, you made the stupid and asinine speculation that "fringe production in a sagnac interferometer [has] something to do with the phase relationship between INCOMING and OUTGOING rays rather than the rejoining of the two oppositely moving rays." George's point was that since white light Sagnac interferometers are perfectly functional, your speculation is dead in the water. You didn't read properly. I SAID IT WAS IMPOSSIBLE. Hasn't it dawned on you yet that you are pontificating on matters of which you are both ignorant and incompetent? You are a joke.... see: http://www.users.bigpond.com/hewn/ringgyro.exe (It doesn't work too well on Vista....will fix) This shows the difference between your 'moving squiggly line' theory and mine. The dots represent 'wavelengths'. The two rays meet together at the detector in both theories...but for different reasons. You say the phases are the same. I say the phases are indicated by the 'circle of white teeth'....The arrival phase for each is (pathlength mod lambda) . If the phase of one ray is x degrees, then that of the other is 360-x Henri Wilson. ASTC,BSc,DSc(T) www.users.bigpond.com/hewn/index.htm |
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