Cause of interference pattern in the Michelson Interferometer.

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Interference patterns in the Michelson Interferometer arise from the varying path lengths of light waves reflecting off two mirrors. While the path difference remains constant for perpendicular mirrors, the wave-fronts expand in a cone shape, causing different travel distances at various points on the detector screen. This results in circular fringes due to the slight angular reflection of light off the mirrors. To observe these patterns, one must adjust the length of one mirror by micrometers, allowing for the detection of very small differences. The circular nature of the fringes is a consequence of the geometry of the setup and the interference conditions established by the light waves.
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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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.
 
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...
 
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.
 
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.
 
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
 
Thanks.
 
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