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Homework Help: Phase difference of HeNe laser in Lithium Niobate

  1. Feb 4, 2010 #1
    1. The problem statement, all variables and given/known data
    I have a laser focused into a lithium niobate crystal and an analyzer placed after the crystal. The analyzer and laser are cross polarized.
    I'm trying to derive the equation that relates the phase difference of the o-wave and e-wave after the analyzer. I know it is dependent on the thickness, d, of the crystal, the birefringent refractive indexes, n(e,o), and wavelength λ (here, 633nm).

    2. Relevant equations

    So far I'm aware the waves are split into two, of intensity (Eo/2)cos(wt±ε), where ε is the phase difference and Eo is the amplitude.

    3. The attempt at a solution
    I've tried combining the two, then doing the difference of two cosines, but this didn't get me far but I am sure this is the along the right lines... Suggestions or thoughts would be greatly appreciated!!!
  2. jcsd
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