Fringe shift

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Two plane waves viewed from above. Black/Blue lines represent wave peaks. White spaces between lines represent troughs. FringesEx1.gif Yellow areas produce bright lines of constructive interference. The dark areas produce dark lines of destructive interference.

A fringe shift is most often referred to in interferometry experiments such as the Michelson-Morley. It is the behavior of a pattern of "fringes" when the phase relationship between the component sources change.

A fringe pattern can be created in a number of ways but the stable fringe pattern found in the Michelson type interferometers is caused by the separation of the original source into two separate beams and then recombining them at differing angles of incidence on a viewing surface.

The interaction of the waves on a viewing surface alternates between constructive interference and destructive interference causing alternating lines of dark and light. In the example of a Michelson Interferometer, a single fringe represents one wavelength of the source light and is measured from the center of one bright line to the center of the next. The physical width of a fringe is governed by the difference in the angles of incidence of the component beams of light, but regardless of a fringe's physical width, it still represents a single wavelength of light.



Actual photo of fringes seen in an old michelson-type interferometer.
FringeShifting.gif
This animation shows the angled beam's phase moving ahead of the reference beams causing a constant fringe shift to the left.

In the 1887 Michelson-Morley experiment, the distance the two beams traveled down the perpendicular arms was expected to be altered by a wind caused by the Earth's motion through Luminiferous aether. This additional path length was calculated to be .4 wavelengths. This means that as the interferometer's arms were spun to face into and against the ether wind, the vertical fringe lines should have moved across the viewer .4 fringe widths left and right for a total of .8 fringes from maximum to minimum. Michelson reported that only between one-sixth and one-quarter of the expected reading was found.

























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