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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. 7 — Jul. 1, 2012
  • pp: 1358–1358

Determination of unit normal vectors of aspherical surfaces given unit directional vectors of incoming and outgoing rays: reply

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


JOSA A, Vol. 29, Issue 7, pp. 1358-1358 (2012)
http://dx.doi.org/10.1364/JOSAA.29.001358


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Abstract

We reply to the comments on our paper previous paper. While the results obtained are the same as ours, we hold that, by using homogeneous coordinate notation, our method enables first-order and second-order derivatives of non-axially symmetrical systems to be computed numerically (such as [J. Opt. Soc. Am. A 28, 747 (2011)]), which are necessary for automatic optical design [Appl. Opt. 2, 1209 (1963)].

© 2012 Optical Society of America

OCIS Codes
(080.0080) Geometric optics : Geometric optics
(080.2720) Geometric optics : Mathematical methods (general)

History
Original Manuscript: May 15, 2012
Manuscript Accepted: May 17, 2012
Published: June 21, 2012

Citation
Psang Dain Lin and Chung-Yu Tsai, "Determination of unit normal vectors of aspherical surfaces given unit directional vectors of incoming and outgoing rays: reply," J. Opt. Soc. Am. A 29, 1358-1358 (2012)
http://www.opticsinfobase.org/josaa/abstract.cfm?URI=josaa-29-7-1358

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