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Journal of the Optical Society of America A

Journal of the Optical Society of America A

| OPTICS, IMAGE SCIENCE, AND VISION

  • Vol. 11, Iss. 10 — Oct. 1, 1994
  • pp: 2647–2656

Seidel aberration coefficients for radial gradient-index lenses

F. Bociort and J. Kross  »View Author Affiliations


JOSA A, Vol. 11, Issue 10, pp. 2647-2656 (1994)
http://dx.doi.org/10.1364/JOSAA.11.002647


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Abstract

Short and accurate analytic formulas for the Seidel coefficients of gradient-index lenses with arbitrary radial refractive-index distributions have been obtained. Starting from analytic ray-tracing formulas, we have developed a technique for decomposing the two components of the transverse aberration of an arbitrary skew ray in surface and inhomogeneous transfer contributions and a technique for shortening the large expressions for the third-order terms resulting from the transfer contributions. Unlike previously known derivation methods, our method delivers simple algebraic expressions for all Seidel coefficients.

© 1994 Optical Society of America

History
Original Manuscript: January 25, 1994
Revised Manuscript: May 2, 1994
Manuscript Accepted: May 2, 1994
Published: October 1, 1994

Citation
F. Bociort and J. Kross, "Seidel aberration coefficients for radial gradient-index lenses," J. Opt. Soc. Am. A 11, 2647-2656 (1994)
http://www.opticsinfobase.org/josaa/abstract.cfm?URI=josaa-11-10-2647

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