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Focal length of a sphere with refractive index gradient

  1. Jun 16, 2014 #1
    1. The problem statement, all variables and given/known data

    We take a sphere (1mm) which has a parabolically changing refractive index, which is given in a function.

    2. Relevant equations

    Depending on the gradient of the refractive in the sphere, how does it correlates with the focal length.

    3. The attempt at a solution

    I know I saw somewhere an analytic solution (or at least an analytically derived approximation) formula somewhere, but I don't have a clue where to find it.
     
  2. jcsd
  3. Jun 17, 2014 #2
    You said " refractive index, which is given in a function". What function is that? Please provide all the information in the problem.
     
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