Why unequal fringe width in Michelson interference pattern?

In summary, the question being discussed is why there is unequal fringe width in the Michelson interference pattern. One person suggests it may be due to imperfect equipment, but another person disagrees and points to a formula for fringe width. However, this formula does not provide an explanation for the unequal fringe width according to textbooks. More information is needed for a clear understanding of the issue.
  • #1
sree.
2
0
why unequal fringe width in Michelson interference pattern?
 
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  • #2


Welcome to PF;
If I understand you correctly - this is due to imperfect equipment.
 
  • #3
Dear Simon,
I don't think it is due to apparatus imperfection. There is a formula for fringe width which is given by β=λ/2nθ, where n is the order of the fringe. but none of the textbook has given the explanation for this.
 
  • #4
If you post a vague message, and come in once a month to update it with only minimal new information, it will take you a very long time to get your answer.
 
  • #5
sree. said:
Dear Simon,
I don't think it is due to apparatus imperfection. There is a formula for fringe width which is given by β=λ/2nθ, where n is the order of the fringe. but none of the textbook has given the explanation for this.
Well then I clearly did not understand you. You will have to provide more information about what you are talking about.
 

1. What causes unequal fringe width in a Michelson interference pattern?

The unequal fringe width in a Michelson interference pattern is caused by the difference in path length traveled by the two beams of light. This can be due to imperfections in the mirrors or other components of the interferometer, or due to variations in the refractive index of the air in the path of the light.

2. Can the unequal fringe width be eliminated or reduced?

Yes, the unequal fringe width can be reduced by using high quality mirrors and other precise components in the interferometer. The air in the path of the light can also be controlled by using a vacuum or by adjusting the temperature and humidity of the environment.

3. Does the unequal fringe width affect the accuracy of the interferometer?

In most cases, the unequal fringe width does not significantly affect the accuracy of the interferometer. However, it can cause errors in certain measurements, such as those involving small changes in the path length or wavelength of the light.

4. Are there any practical applications of the unequal fringe width in Michelson interference patterns?

Yes, the unequal fringe width can be used to measure small changes in the refractive index of a medium, which can be useful in studying the properties of gases and liquids. It can also be used in interferometric sensors to detect small movements or vibrations.

5. Can the unequal fringe width be used to determine the wavelength of light?

No, the unequal fringe width is not a reliable method for determining the wavelength of light. This is because it is affected by various factors such as the quality of the mirrors and the environment, and it is not a precise measurement compared to other methods such as using a diffraction grating.

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