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  • Deriving higher-order aberrations from paraxial properties

    From Phil Hobbs@21:1/5 to All on Sun Sep 13 13:23:44 2020
    Both Smith and Buchdahl have discussions about calculating higher-order aberrations using the paraxial description of an optical system.

    They're both pretty dense.

    Anybody here have a reference to an easier-to-digest version? (I'm
    finishing up the third edition of Building Electro-Optical Systems, and
    would really like to include something on this.)

    Cheers

    Phil Hobbs
    --
    Dr Philip C D Hobbs
    Principal Consultant
    ElectroOptical Innovations LLC / Hobbs ElectroOptics
    Optics, Electro-optics, Photonics, Analog Electronics
    Briarcliff Manor NY 10510

    http://electrooptical.net
    http://hobbs-eo.com

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  • From glen walpert@21:1/5 to Phil Hobbs on Mon Sep 14 01:31:23 2020
    On Sun, 13 Sep 2020 13:23:44 -0400, Phil Hobbs wrote:

    Both Smith and Buchdahl have discussions about calculating higher-order aberrations using the paraxial description of an optical system.

    They're both pretty dense.

    Anybody here have a reference to an easier-to-digest version? (I'm
    finishing up the third edition of Building Electro-Optical Systems, and
    would really like to include something on this.)

    Cheers

    Phil Hobbs

    Kingslake - Lens Design Fundamentals 2nd edition might be a possibility.
    I don't have it, but I do have a course handout from U of R "Geometrical Optics" by Michael Lea which covers third order aberrations by ynu
    paraxial raytracing, same method as used by Kingslake, and I could scan
    that chapter and send it to you if you are interested. These
    calculations are complex enough that they are inherently a bit dense
    IMO. For 5th and 7th order aberrations Buchdahl might be the only good
    option, but I expect that is beyond what you need.

    Regards,
    Glen

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  • From Dale Buralli@21:1/5 to glen walpert on Mon Sep 14 11:53:52 2020
    On Sunday, September 13, 2020 at 9:31:26 PM UTC-4, glen walpert wrote:
    On Sun, 13 Sep 2020 13:23:44 -0400, Phil Hobbs wrote:

    Both Smith and Buchdahl have discussions about calculating higher-order aberrations using the paraxial description of an optical system.

    They're both pretty dense.

    Anybody here have a reference to an easier-to-digest version? (I'm finishing up the third edition of Building Electro-Optical Systems, and would really like to include something on this.)

    Cheers

    Phil Hobbs
    Kingslake - Lens Design Fundamentals 2nd edition might be a possibility.
    I don't have it, but I do have a course handout from U of R "Geometrical Optics" by Michael Lea which covers third order aberrations by ynu
    paraxial raytracing, same method as used by Kingslake, and I could scan
    that chapter and send it to you if you are interested. These
    calculations are complex enough that they are inherently a bit dense
    IMO. For 5th and 7th order aberrations Buchdahl might be the only good option, but I expect that is beyond what you need.

    Regards,
    Glen

    As far as explicit formulae for the fifth-order aberrations (and seventh-order spherical), probably the most readable account is M.P. Rimmer's MS thesis from the University of Rochester (1963). I don't think that there is much in the way of derivations;
    it's primarily a presentation of Buchdahl's results in a notation and sign convention more familiar to the optical engineering community (at least that part of the community that graduated from the Institute of Optics). There's an extremely good chance
    that if your optical design program computes fifth-order aberrations, the calculations came from Rimmer's thesis.

    Dale Buralli

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