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Jones matrixes

  1. Jan 20, 2016 #1
    I have a very basic question regarding jones matrixes.

    So for Linear polarized light in the x direction the jones matrix would be (1,0)

    And for linear polarized light in the y direction the jones matrix would be (0,1)

    But when light is linearly polarized in a 45 degree angle from the x-axis the jones matrix becomes (1/sqrt(2) *(1,1)

    my question is: what is the 1/sqrt(2) doing there?

    I mean if you draw this point in a x,y system the angle is going to be 45 degrees no matter how large the x and y coordinate are going to be assuming they are equal to each other
  2. jcsd
  3. Jan 20, 2016 #2


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    Just convention to make the energy unit equal to unity.
  4. Jan 20, 2016 #3
    The length of the Jones vector is sometimes considered as intensity. So the 1/sqrt(2) is there for normalization, to make the length of the vector 1.
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