Need some help trying to understand the Michelson interferometer

In summary: So if you have white light, the colors will overlap and produce a band. The specific color arrangement depends on the relative intensity of each color in the white light source.
  • #1
Acid92
43
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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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  • #2
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.
 

1. What is a Michelson interferometer?

A Michelson interferometer is a device used in optics to measure small differences in the wavelength of light. It consists of two mirrors and a partially reflecting beam splitter, which directs a beam of light to the mirrors and then back to the beam splitter. The resulting interference pattern can be used to measure the wavelength of light or other optical phenomena.

2. How does a Michelson interferometer work?

The beam of light is split by the beam splitter and directed towards the two mirrors. The light bounces off the mirrors and is then recombined at the beam splitter, creating an interference pattern. This pattern is then observed and measured to determine the wavelength of light or other optical properties.

3. What are the applications of a Michelson interferometer?

A Michelson interferometer has many applications in the field of optics, including measuring the wavelength of light, determining the refractive index of a material, and detecting small changes in length or distance. It is also used in interferometry techniques for precision measurements in fields such as astronomy, microscopy, and metrology.

4. What are the advantages of using a Michelson interferometer?

One of the main advantages of a Michelson interferometer is its high precision in measuring small differences in the wavelength of light. It also has a simple design and is relatively easy to set up and use. Additionally, it can be used with a wide range of light sources and can measure a variety of optical properties.

5. Are there any limitations to using a Michelson interferometer?

One limitation of a Michelson interferometer is that it is sensitive to vibrations and changes in temperature, which can affect the accuracy of the measurements. It also requires a stable light source and careful alignment of the mirrors and beam splitter. Additionally, it may not be suitable for measuring large differences in wavelength or for some types of light sources, such as incoherent light.

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