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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

  • Editor: Franco Gori
  • Vol. 27, Iss. 8 — Aug. 1, 2010
  • pp: 1791–1802

Analytic-domain lens design with proximate ray tracing

Nan Zheng, Nathan Hagen, and David J. Brady  »View Author Affiliations


JOSA A, Vol. 27, Issue 8, pp. 1791-1802 (2010)
http://dx.doi.org/10.1364/JOSAA.27.001791


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Abstract

We have developed an alternative approach to optical design which operates in the analytical domain so that an optical designer works directly with rays as analytical functions of system parameters rather than as discretely sampled polylines. This is made possible by a generalization of the proximate ray tracing technique which obtains the analytical dependence of the rays at the image surface (and ray path lengths at the exit pupil) on each system parameter. The resulting method provides an alternative direction from which to approach system optimization and supplies information which is not typically available to the system designer. In addition, we have further expanded the procedure to allow asymmetric systems and arbitrary order of approximation, and have illustrated the performance of the method through three lens design examples.

© 2010 Optical Society of America

OCIS Codes
(080.2740) Geometric optics : Geometric optical design
(220.3620) Optical design and fabrication : Lens system design
(080.6755) Geometric optics : Systems with special symmetry

History
Original Manuscript: February 17, 2010
Revised Manuscript: June 3, 2010
Manuscript Accepted: June 5, 2010
Published: July 14, 2010

Citation
Nan Zheng, Nathan Hagen, and David J. Brady, "Analytic-domain lens design with proximate ray tracing," J. Opt. Soc. Am. A 27, 1791-1802 (2010)
http://www.opticsinfobase.org/josaa/abstract.cfm?URI=josaa-27-8-1791

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