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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. 13, Iss. 3 — Mar. 1, 1996
  • pp: 532–540

Application of Lorentz geometry to nonimaging optics: new three-dimensional ideal concentrators

Manuel Gutiérrez, Juan C. Miñano, Carlos Vega, and Pablo Benítez  »View Author Affiliations


JOSA A, Vol. 13, Issue 3, pp. 532-540 (1996)
http://dx.doi.org/10.1364/JOSAA.13.000532


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Abstract

A new family of three-dimensional ideal nonimaging concentrators with rotational symmetry is presented. The flow-line concentrator and the cone concentrator are particular cases of this family. First, we looked for elliptic bundles of rays, i.e., bundles such that the subset of rays passing through any point of the space forms a cone with an elliptic base (this search was done with the Lorentz geometry formalism.) Second, the concentrators, defined by their reflectors and receiver shapes, were derived from these elliptic bundles with the flow-line design method.

© 1996 Optical Society of America

History
Original Manuscript: March 31, 1995
Revised Manuscript: September 26, 1995
Manuscript Accepted: June 9, 1995
Published: March 1, 1996

Citation
Manuel Gutiérrez, Juan C. Miñano, Carlos Vega, and Pablo Benítez, "Application of Lorentz geometry to nonimaging optics: new three-dimensional ideal concentrators," J. Opt. Soc. Am. A 13, 532-540 (1996)
http://www.opticsinfobase.org/josaa/abstract.cfm?URI=josaa-13-3-532

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