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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. 16, Iss. 9 — Sep. 1, 1999
  • pp: 2245–2252

Elliptic ray bundles in three-dimensional geometry for nonimaging optics: a new approach

Pablo Benı́tez  »View Author Affiliations


JOSA A, Vol. 16, Issue 9, pp. 2245-2252 (1999)
http://dx.doi.org/10.1364/JOSAA.16.002245


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Abstract

A new method to obtain elliptic ray bundles in three-dimensional geometry is presented. This type of bundle is of special interest in nonimaging optics because the only known three-dimensional ideal concentrators with homogeneous media transmit elliptic bundles. First, we reformulate the condition for a bundle to be elliptic; that is, the rays passing through any point of the space form a cone with an elliptic base. The solution found includes all the elliptic bundles obtained by other methods as a particular case. Second, we look for the concentrators defined by the new elliptic bundles with the flow-line design method of nonimaging optics. Most of these bundles do not generate new devices but are transmitted ideally through the already known three-dimensional ideal concentrators.

© 1999 Optical Society of America

OCIS Codes
(080.2720) Geometric optics : Mathematical methods (general)
(080.2740) Geometric optics : Geometric optical design
(220.1770) Optical design and fabrication : Concentrators

History
Original Manuscript: December 15, 1998
Revised Manuscript: April 15, 1999
Manuscript Accepted: April 15, 1999
Published: September 1, 1999

Citation
Pablo Benı́tez, "Elliptic ray bundles in three-dimensional geometry for nonimaging optics: a new approach," J. Opt. Soc. Am. A 16, 2245-2252 (1999)
http://www.opticsinfobase.org/josaa/abstract.cfm?URI=josaa-16-9-2245

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