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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. 19, Iss. 1 — Jan. 1, 2002
  • pp: 129–131

Two theorems in catoptrics

J. Rubinstein and G. Wolansky  »View Author Affiliations


JOSA A, Vol. 19, Issue 1, pp. 129-131 (2002)
http://dx.doi.org/10.1364/JOSAA.19.000129


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Abstract

Two general theorems in the theory of mirrors are presented. The first one asserts that a mirror that reflects a parallel beam into a beam with zero mean curvature must be harmonic. The second one provides a universal characterization of the spot diagram of rays from a reflected parallel beam as they intersect a plane orthogonal to their direction of propagation.

© 2002 Optical Society of America

OCIS Codes
(080.2720) Geometric optics : Mathematical methods (general)
(230.4040) Optical devices : Mirrors

History
Original Manuscript: March 28, 2001
Revised Manuscript: June 4, 2001
Manuscript Accepted: June 4, 2001
Published: January 1, 2002

Citation
J. Rubinstein and G. Wolansky, "Two theorems in catoptrics," J. Opt. Soc. Am. A 19, 129-131 (2002)
http://www.opticsinfobase.org/josaa/abstract.cfm?URI=josaa-19-1-129

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