Understanding Interferometers: Principle, Methodology, and Applications

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Discussion Overview

The discussion revolves around the principles and applications of Michelson interferometers, particularly focusing on the effects of using beams of slightly different wavelengths. Participants explore the nature of interference patterns produced under these conditions and the implications for understanding phase shifts and visual observations.

Discussion Character

  • Exploratory
  • Technical explanation
  • Debate/contested

Main Points Raised

  • One participant describes the basic working principle of a Michelson interferometer, emphasizing the need for identical wavelengths for clear interference patterns.
  • Another participant suggests that using beams of slightly different wavelengths would result in constantly moving interference fringes, drawing an analogy to wave patterns in a wave tank.
  • A different participant expresses uncertainty about the behavior of interference patterns when using different wavelengths, referencing the method of determining unknown wavelengths.
  • One participant shares personal experience with sodium light and the "D" lines, noting that well-defined rings become blurry and then reappear as the mirror moves, indicating a relationship with the beat wavelength.
  • Another participant humorously recalls a previous discussion about someone building their own interferometer, adding a light-hearted tone to the conversation.

Areas of Agreement / Disagreement

Participants do not reach a consensus on the effects of using beams of different wavelengths in a Michelson interferometer. While some agree on the observation of moving fringes, others express uncertainty and explore different aspects of the phenomenon.

Contextual Notes

Participants mention various assumptions regarding the behavior of interference patterns, including the effects of wavelength differences and the visibility of phase shifts. There is also a reference to the limitations of human perception in detecting oscillation rates.

Who May Find This Useful

This discussion may be of interest to those studying optics, wave phenomena, or anyone looking to understand the practical applications and implications of interferometry in experimental setups.

TheAntiRelative
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Please correct me if/where I'm wrong in my understanding of the following (laymans terms) explanation and question:

A michelson interferometer like used in 1887 works off a basic principle of having the same beam of light arrive at the same place slightly behind/ahead of itself. We are able to see interference (rings) by making the light's direction strike a flat surface at differing angles thereby causing both addative and subtractive interaction to be seen across that surface.

The assumption for this system to work is that both beams of light are of exactly the same wavelength but because of the differing initial arrival times there is a constant and consistent phase (arrival) difference. The peaks are constantly the same distance apart.

If used in a certain way, an interferometer (of a little different design than michelson 1887) can also be used to determine the wavelength of an unknown beam of light when interfering with a known lightsource. However, michelson's interferometer was not used/designed to detect this.

The Queston:
If a michelson interferometer of the design and methodology of use of the 1887 model received 2 beams of slightly unlike wavelengths, what would be seen? (For example, a beam of 600nm and a beam of 600.06nm)

From what I understand, you could still establish visual interference rings but not as well defined because of the oscillation action that would be caused. Is this true?
Without the equipment I could mentally see reasons why this could be true and reasons why this could be false.
True because I know interference rings are seen when using an interferometer to determine an unknown wavelength diferent than the reference beam, But I don't know if they stand still.
False because oscillation would seem to cause blurring...
I lean toward believing that the rings become averages of sets of waves instead of representative of single waves.


If true...
At this point since the two beams are not the same, there seems to no longer be any such thing a a phase shift since the lineup of peaks and troughs is constantly moving.
Would it be oscillating slowly enough to be able to visually set up a temporary lineup of peaks or does it oscillate too fast for the human eye? (I would guess that even as small of a difference as I mentioned, the ocillation rate would be far above the 30somthingish times per second that a human eye can detect.)
Now if the instrument was calibrated to show rings with two different wavelengths, is it true that you could still detect a phase shift but only on an order of magnitude smaller in proportion to the number of waves averaged to create each fringe?


Thanks in advance for your answers :)
 
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Without getting into the specifics, it seems to me that you'd see constantly moving interference fringes if the two frequencies were not the same.

Think of a wave tank - two waves of the same frequency will produce a standing wave pattern, while two waves of a slightly different frequency will exhibit a moving wave pattern.
 
That was what I was thinking at first but then I started reading about the method of determinng an unknown wavelength and was no longer sure about what would happen. :confused:

My questions leads into a thought that perhaps the MMX was null in more than one way...
 
This is precisely what you see with a sodium light viewing the sodium "D" lines which are very close in wavelength. I have used a small Michelson interferometer extensively. With the "D" lines as the mirror moves first you see well defined rings then they get blurry until they all but disappear. Then they they get well defined again. This repeats at the "beat wavelength."
If you don't move the stage, the fringes do not move.

By the way the white light fringes are so pretty, don't miss them. I want my own interferometer.
 
Didn't somebody in the old ATM Advanced build his own interferometer?

I can't resist this chestnut:

A tiny but precocious babe
Was toying with an astrolabe
Her younger brother did prefer
A large interferometer.
 

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