reflections?

Discussion in 'Physics & Math' started by phyti, Jan 20, 2011.

  1. phyti Registered Senior Member

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    732
    Fig.1 is the setup at rest. The mirror at B is angled 45 deg to the path, and the mirror at C is angled 90 deg to the path. A light signal travels ABCBA.

    According to optics, the incidence angle equals the reflection angle, which is true in fig.1. To a viewer watching the setup move horizontally at speed v, it appears not to be true. In fig.2 the B mirror would have to rotate clockwise to reflect to C. In fig.3, the B mirror would have to rotate counterclockwise to reflect to A. The mirror can only have one position. What's the explanation?

    drawing
     
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  3. James R Just this guy, you know? Staff Member

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    When light reflects from a moving boundary between two media, the angle of incidence is no longer equal to the angle of reflection.
     
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  5. Pete It's not rocket surgery Registered Senior Member

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    Or to put it another way, the Law of Reflection doesn't work for moving mirrors.
     
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  7. Tach Banned Banned

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    In the frame comoving with the mirror the Snell law works as you would expect. In a frame moving with respect to the mirror several things happen:

    -the light rays are aberrated
    -the mirror appears rotated
     
  8. Pete It's not rocket surgery Registered Senior Member

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    Yes, length contraction means that the angle of mirror B will be different in the frame in which it is moving.
     
  9. phyti Registered Senior Member

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    732
    Thanks for all the answers.
    I checked the wiki reference and it seems a simple rule becomes very complex, as usual.

    If the experiment works in all frames (per 1st SR postulate), how so in the moving frame case?
     
    Last edited: Jan 22, 2011

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