Movable mirror of a Michelson interferometer

In summary, The conversation discusses a question about a Michelson interferometer and how far the movable mirror must be displaced for 2000 fringes to pass the reference point. The person asking the question is unsure of how to solve it and there is no attempt at a solution or relevant equations provided. Another person asks about the path length difference associated with 2000 fringes and the wavelength, but the initial question does not provide this information. The conversation then shifts to discussing a different type of interferometer and calculating the number of loops before the light's intensity is reduced by 99%.
  • #1
oaly
2
0
i know the question may be a bit stupid to some people, but i seriously don't know how to do it...

Homework Statement


How far must the movable mirror of a Michelson interferometer, illuminated by a 589-nm source, be displaces for 2000 fringes to move past the reference point?


Homework Equations



i have no idea

The Attempt at a Solution



i don't know how to solve it
 
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  • #2


What's the path length difference associated with 2000 fringes?
 
  • #3


ideasrule said:
What's the path length difference associated with 2000 fringes?

it does not say, that was the whole question.
 
  • #4


Yes, but it does tell you the wavelength, and constructive interference occurs when the path length difference is an integer multiple of the wavelength.
 
  • #5


can anyone answer this question
In Sagnac interferometer replace the beam splitter by a fourth mirror and calculate how many loops around the interferometer can the light make before its intensity is reduced by 99%??
 

Related to Movable mirror of a Michelson interferometer

What is a Movable Mirror of a Michelson Interferometer?

The Movable Mirror of a Michelson Interferometer is a key component of the device, which is used to measure the interference patterns of light beams. It is a mirror that can be moved along one of the arms of the interferometer to change the path length of the light beams.

How does the Movable Mirror affect the interference pattern?

The movement of the Movable Mirror changes the path length of the light beams, which in turn affects the interference pattern. When the path length difference is an integer multiple of the wavelength of the light, constructive interference occurs, resulting in bright fringes in the pattern. On the other hand, when the path length difference is a half-integer multiple, destructive interference occurs, leading to dark fringes.

What is the purpose of the Movable Mirror in a Michelson Interferometer?

The Movable Mirror is used to control the phase difference between the two light beams in the interferometer. This allows for precise measurements of the wavelength of light, the index of refraction of a medium, and other optical properties of materials.

How is the Movable Mirror controlled in a Michelson Interferometer?

The Movable Mirror is typically controlled using a micrometer or a motorized stage. This allows for precise and controlled movements of the mirror to achieve the desired path length difference between the two light beams.

Can the Movable Mirror be replaced with a fixed mirror in a Michelson Interferometer?

No, the Movable Mirror is an essential part of the Michelson Interferometer and cannot be replaced with a fixed mirror. The movement of the mirror is necessary to change the path length and create the interference patterns needed for measurements. Without it, the interferometer would not function properly.

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