Need some help trying to understand the Michelson interferometer

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SUMMARY

The discussion focuses on the Michelson interferometer's behavior when using monochromatic and white light sources. When mirrors are set parallel, circular fringes appear due to symmetrical path length differences. Adjusting the mirror tilt results in arc-shaped fringes, and moving the mirror alters the path difference, leading to a reversal of arcs at path difference d = 0. The discussion also highlights that white light produces a limited range of color bands around d = 0 due to its multiple wavelengths, contrasting with monochromatic light, which generates a single color interference pattern.

PREREQUISITES
  • Understanding of the Michelson interferometer's basic principles
  • Knowledge of interference patterns and their formation
  • Familiarity with monochromatic and white light properties
  • Basic concepts of wave optics and path length differences
NEXT STEPS
  • Explore the mathematical derivation of interference patterns in the Michelson interferometer
  • Learn about the effects of mirror tilt on fringe patterns in detail
  • Investigate the principles of color interference in thin films
  • Study the impact of different light sources on interference patterns
USEFUL FOR

Physics students, optical engineers, and anyone interested in wave optics and interference phenomena will benefit from this discussion.

Acid92
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Refer to the second diagram on this website
http://electron6.phys.utk.edu/optics421/modules/m5/Interferometers.htm

Using monochromatic light at first, you produce an interference pattern using the Michelson interferometer. If you set the relative tilt of the mirrors so that they are relatively parallel, the fringes are circular (I understand that this is because of the symmetry in the path length difference between the two sides of the interference pattern) but if you adjust the relative tilt, you get fringes that are arcs. By adjusting the position of the mirror that you can move backwards/forwards, you can control the path difference (and so the distance between the bands in the interference pattern), however, at some point, the circular arcs "reverse" and apparently this indicates that you have moved through path difference d = 0, why? I intuitively understand that this probably has something to do with how reflection works with mirrors but I can't quite explicitly explain it.

Secondly; if you use white light as a source: for a very small range around d = 0, you get a band of colors as an interference pattern. Why is this range relatively small for white light in particular (as compared to monochromatic light) and also, is there any particular pattern in the color patterns of the band, i.e. can you generate specific color arrangements and what do they depend on? Or is it just random constructive/destructive interference for different colors as with interference in thin films?


Heres an example of a white light interference pattern
http://upload.wikimedia.org/wikipedia/commons/2/20/Michelson_interferometer_using_white_light.png
 
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1. iirc. It's an effect of the same symmetry that produces the circular fringes.

2. "monochromatic" means only one color - so you cannot get a band of colors. As with youngs interference, the separation of the maxima depends on the wavelength - i.e. the color - if the light.
 

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