Discussion:
Deriving higher-order aberrations from paraxial properties
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Phil Hobbs
4 years ago
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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
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glen walpert
4 years ago
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Post by Phil Hobbs
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
Dale Buralli
4 years ago
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...
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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