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Doing a research on aberrations in order to

  1. Mar 12, 2012 #1
    Hello everyone,

    I am doing a research on aberrations in order to prepare a presentation. I looked at Optics, Hecht and Introduction to Optics, Pedrotti; however, I think they use different conventions for aberrations. Is there an established standard for aberrations(I heard the name Seidel)? I also wonder what the third order aberration means; is it sine expanded to include angle cubed or the aberrations are written up to 3rd order of the aperture diameter for example. I am pretty confused about this topic and in need of a good resource which will guide me and possibly derive some of the aberration formulas explaining each one in detail. Any suggestion is appreciated.

    Thanks
     
  2. jcsd
  3. Mar 13, 2012 #2
    Re: Aberrations

    It is very complex topic. There is so many good books like for example Rudolf Kingslake Lens Design Fundamentals - in that book you will find detail derivation of all kinds of aberrations.
     
  4. Mar 13, 2012 #3
    Re: Aberrations

    Thanks for your reply; I looked at that book but found it kind of confusing. If you have any other suggestions I would appreciate it.
     
  5. Mar 13, 2012 #4

    Andy Resnick

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    Re: Aberrations

    The Seidel aberrations are referred to as 'third order' because the expansion sin(q) = q + q^3/3! + q^5/5!+... has a third-order polynomial after the paraxial sin(q) ~ q approximation. There are 7 third order aberrations (piston, tilt, spherical, coma, petvzal, distortion, astigmatism), a bunch of 5th order, 7th order, etc.

    Alternatively, the wavefront aberration is written in terms of Zernike polynomials- mapping a Zernike coefficient with a Seidel aberration is not possible, but there are ways to convert one to the other.

    A good resource (free, etc.) is the MIL-HDBK 141 (Optical Design)

    http://www.optics.arizona.edu/ot/opti502/MIL_HDBK_141.html [Broken]

    3rd order aberrations are in Chapter 8.
     
    Last edited by a moderator: May 5, 2017
  6. Mar 14, 2012 #5
    Re: Aberrations

    Thanks you I will take a look at that.
     
  7. Mar 15, 2012 #6
    Re: Aberrations

    I need to derive the third order spherical aberration formula for a thin lens which consists of two refracting surfaces how can I do so? I am attaching an image file containing the formula at the bottom of the page. Thanks for your help.

     

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