Cause of interference pattern in the Michelson Interferometer.

In summary, the conversation discusses the formation of circular rings in Michelson's interferometer and the reasons behind it. The books state that interference occurs between the light waves of the two mirrors, but the path difference between the pairs remains constant. To observe very small differences in length, one of the mirrors must vary in length. The fringes formed are generally circular due to the expansion of the wave-front in a cone, resulting in a longer path length for light reflecting off the mirrors at a small angle. This can be seen in the center of the interference pattern, with the light going through perpendicular to the mirrors. The conversation also mentions a link for more information on the topic.
  • #1
Zanychap
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The books say that interference happens basically between the light waves from the two mirrors. But it seems to me that the path difference between the pairs remains constant for all the waves (as long as both the mirrors are perpendicular to each other). So why do circular rings form? How does the path difference vary?
 
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  • #2
You need to vary the length of one of the mirrors over very small differences. Typically micrometers will do it for the visible light spectra.
 
  • #3
The point of the Interferometer is to see _very_ small differences in length and changes thereof. In general, I would challenge anyone to set one up such that it doesn't have fringes...
 
  • #4
The point that I am not getting is why are the fringes circular.
Like in Newton's rings I know that the thickness of air is constant over concentric circles causing circular rings. I just can't understand what causes this in Michelson's.
 
  • #5
Ah...

I think it's because the wave-front of both beams expands in a cone, so the travel path is different at each point on the detector screen.
 
  • #6
The usual simple analysis gives you the interference condition when the light goes through exactly perpendicular to the mirrors. This is the center of the actual interference pattern. At other points on the screen, the light reflects off the mirrors at a small angle. This makes a longer path which is generally slightly different in length for the two mirrors.

http://www.phy.davidson.edu/stuhome/cabell_f/diffractionfinal/pages/Michelson.htm
 
  • #7
Thanks.
 

1. What is the Michelson Interferometer?

The Michelson Interferometer is a scientific instrument used to measure small differences in the length of two optical paths, typically by splitting a beam of light and recombining it to produce an interference pattern. It was invented by Albert Michelson in the late 19th century and has since been used in a variety of experiments and measurements in physics and astronomy.

2. How does the Michelson Interferometer work?

The Michelson Interferometer works by splitting a beam of light into two paths using a partially reflective mirror. The two paths are then recombined using another partially reflective mirror, creating an interference pattern. The interference pattern is then observed and measured to determine any differences in the length of the two paths, which can be caused by changes in the medium through which the light is passing.

3. What causes the interference pattern in the Michelson Interferometer?

The interference pattern in the Michelson Interferometer is caused by the superposition of two light waves that have traveled different distances. When the two waves are recombined, they either reinforce or cancel each other out, depending on the phase difference between them. This creates a pattern of light and dark fringes that can be observed and measured to determine any differences in the two optical paths.

4. What are some applications of the Michelson Interferometer?

The Michelson Interferometer has been used for a variety of applications in physics and astronomy, including measuring the speed of light, detecting gravitational waves, and determining the refractive index of materials. It also played a crucial role in the famous Michelson-Morley experiment, which provided evidence for the theory of relativity.

5. How has the Michelson Interferometer been improved upon since its invention?

Since its invention, the Michelson Interferometer has been improved upon in several ways. Modern versions use more advanced technology, such as laser light sources and high-precision mirrors, to increase the accuracy and sensitivity of the measurements. It has also been adapted for use in various fields, including telecommunications, seismology, and spectroscopy, making it a versatile and valuable tool in scientific research.

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