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Homework Help: Derive the optical path length of the incident light

  1. Mar 31, 2008 #1


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    I have been asked to write down the taylor expansion for two concentric spherical surfaces with radii r1 and r2 of a lens and mirror combination which I think is called a Mangin Mirror.

    It is supposed to be related to the x and y axis positions.

    Also, I have been asked to derive the optical path length of the incident light being reflected back to the surface of the lens with radius r1.

    I don't know were to start for either question.

    Any ideas would be much appreciated!!
  2. jcsd
  3. Mar 31, 2008 #2

    Andy Resnick

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    What is the application? Is this homework?
  4. Mar 31, 2008 #3


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    Staff: Mentor

    Of what?

    Is this like figure C-4 on the following page?

    http://www.jmloptical.com/level2/ProductInfo/m_spherical_info.aspx [Broken]

    (found via a Google search for "Mangin mirror")

    Again, of what?
    Last edited by a moderator: May 3, 2017
  5. Mar 31, 2008 #4


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    Optics reply

    Exactly like the C-4 diagram.
    Let z1(y) and z2(y) be the expressions for the two surfaces of the lens in Figure 1 (see attachment) respectively. Write down the Taylor expansions of z1 and z2 to the fourth power of y.

    Attached Files:

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