Using multiple mirrors in Michelson Interferometer

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Discussion Overview

The discussion revolves around the feasibility of using more than two mirrors in a Michelson Interferometer for an experimental setup. Participants explore the implications of adding mirrors, particularly in relation to coherence length and the optical path differences between the arms of the interferometer.

Discussion Character

  • Exploratory
  • Technical explanation
  • Experimental/applied

Main Points Raised

  • Some participants propose that it is possible to add extra mirrors to the two paths of the interferometer to achieve the desired setup.
  • There is a concern regarding the optical path distances of the two arms needing to be within a coherence length of each other to obtain an interference pattern.
  • One participant questions whether one arm of the interferometer would be significantly longer than the other, indicating a potential issue with the setup.
  • Another participant mentions the necessity of ensuring that the coherence length of the laser is sufficient for the distances involved to maintain an interference pattern.
  • There is a suggestion to experimentally determine the coherence length by adjusting the arm lengths and observing the contrast in the interference pattern.
  • Participants discuss the need for optically flat mirrors to achieve optimal results in the interferometer.

Areas of Agreement / Disagreement

Participants express varying views on the feasibility of using multiple mirrors, with some agreeing on the necessity of coherence length considerations while others focus on the practical aspects of the setup. The discussion remains unresolved regarding the optimal configuration and specific requirements for the experiment.

Contextual Notes

Limitations include the dependence on the coherence length of the laser, which may not be specified by the manufacturer, and the need for precise adjustments in arm lengths to achieve the desired interference pattern.

rkatcosmos
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The number of mirrors typically used in Michelson Interferometer is 2. I am looking up the respective Wikipedia article and MIT's youtube video.

I am wondering, for the sake of one of my experiment, whether more than 2 mirrors can be used in the interferometer? I require the traversing mirror to be in a remote location and moving is a non-orthogonal line. I intend to use more mirrors to get the interference pattern. I wish to know if this is feasible.
 
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rkatcosmos said:
The number of mirrors typically used in Michelson Interferometer is 2. I am looking up the respective Wikipedia article and MIT's youtube video.

I am wondering, for the sake of one of my experiment, whether more than 2 mirrors can be used in the interferometer? I require the traversing mirror to be in a remote location and moving is a non-orthogonal line. I intend to use more mirrors to get the interference pattern. I wish to know if this is feasible.
You can add extra mirrors to the two paths. One thing that I believe is necessary is that the mirrors do need to be optically flat, at least in order to get optimal results.
 
Are you saying that one arm of the interferometer would be significantly longer than the other arm?
 
pixel said:
Are you saying that one arm of the interferometer would be significantly longer than the other arm?
Yes. More like the image attached.
IIuGt
 

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  • Modified michelson interferometer.png
    Modified michelson interferometer.png
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rkatcosmos said:
Yes. More like the image attached.

You should make sure that the coherence length of the laser is large enough for the distances you are contemplating, otherwise you will not get an interference pattern: https://en.wikipedia.org/wiki/Coherence_length
 
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There is the requirement that the optical path distances of the two arms do need to be within a coherence length of each other. Depending upon the nature of the source this could place some restrictions on your apparatus, as @pixel has just responded.
 
pixel said:
You should make sure that the coherence length of the laser is large enough for the distances you are contemplating, otherwise you will not get an interference pattern: https://en.wikipedia.org/wiki/Coherence_length
Thanks for this info. I was not aware of this.
Is there a way to estimate the coherance length, in case my laser manufacturer does not specify this detail in the specification?
 
rkatcosmos said:
Thanks for this info. I was not aware of this.
Is there a way to estimate the coherance length, in case my laser manufacturer does not specify this detail in the specification?

Experimentally, I guess you could start with the two arms equal in length and then gradually change the length of one arm. The pattern will change as you do this, but what you want to monitor is the contrast in the pattern. At some point it will get washed out. That will tell you by how much the two arm lengths can differ.
 
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