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Journal of the Optical Society of America A

Journal of the Optical Society of America A


  • Editor: Franco Gori
  • Vol. 31, Iss. 9 — Sep. 1, 2014
  • pp: 2097–2104

Solution to the bundle-to-bundle mapping problem of geometric optics using four freeform reflectors

Christopher B. Croke and R. Andrew Hicks  »View Author Affiliations

JOSA A, Vol. 31, Issue 9, pp. 2097-2104 (2014)

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Here we present a method for the coupled design of four freeform reflective surfaces that will control a bundle of rays. By this, we mean that given an input bundle of rays, we can construct an optical system that will map it to a given output bundle, where a ray-to-ray correspondence is realized as per the prescribed data. The method makes use of the Cartan–Kähler theorem of exterior differential systems. Sample imaging applications are given.

© 2014 Optical Society of America

OCIS Codes
(080.2740) Geometric optics : Geometric optical design
(110.0110) Imaging systems : Imaging systems
(230.4040) Optical devices : Mirrors

ToC Category:
Geometric Optics

Original Manuscript: June 3, 2014
Revised Manuscript: August 8, 2014
Manuscript Accepted: August 13, 2014
Published: August 29, 2014

Christopher B. Croke and R. Andrew Hicks, "Solution to the bundle-to-bundle mapping problem of geometric optics using four freeform reflectors," J. Opt. Soc. Am. A 31, 2097-2104 (2014)

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