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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. 29, Iss. 6 — Jun. 1, 2012
  • pp: 1141–1153

Determination of first-order derivatives of skew ray at aspherical surface

Psang Dain Lin and Chung-Yu Tsai  »View Author Affiliations


JOSA A, Vol. 29, Issue 6, pp. 1141-1153 (2012)
http://dx.doi.org/10.1364/JOSAA.29.001141


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Abstract

A set of algorithms is proposed for determining the first-order derivatives of a skew ray with respect to all the independent variables of an aspherical boundary surface in a general 3D optical system. Ellipsoidal, paraboloidal, hyperboloidal, and cylindrical boundary surfaces are given as examples. The proposed method has important applications in the analysis of aspherical surfaces and enables a detailed understanding of a wide variety of optical effects, including reflection and refraction, the modulation transfer function, and aberrations.

© 2012 Optical Society of America

OCIS Codes
(080.2720) Geometric optics : Mathematical methods (general)
(080.2740) Geometric optics : Geometric optical design
(080.1753) Geometric optics : Computation methods
(080.2468) Geometric optics : First-order optics

History
Original Manuscript: January 10, 2012
Revised Manuscript: February 1, 2012
Manuscript Accepted: February 2, 2012
Published: June 1, 2012

Citation
Psang Dain Lin and Chung-Yu Tsai, "Determination of first-order derivatives of skew ray at aspherical surface," J. Opt. Soc. Am. A 29, 1141-1153 (2012)
http://www.opticsinfobase.org/josaa/abstract.cfm?URI=josaa-29-6-1141


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