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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. 14, Iss. 10 — Oct. 1, 1997
  • pp: 2850–2854

Fermat's principle, the general eikonal equation, and space geometry in a static anisotropic medium

Wenda Shen, Jufang Zhang, Shitao Wang, and Shitong Zhu  »View Author Affiliations


JOSA A, Vol. 14, Issue 10, pp. 2850-2854 (1997)
http://dx.doi.org/10.1364/JOSAA.14.002850


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Abstract

Fermat's principle and the optical metric are generalized to the case of an anisotropic medium. The metric tensor of a three-dimensional Riemannian manifold is related to the dielectric tensor of the medium. The general eikonal equation in a static anisotropic medium is derived. The expressions for the curvature tensor and the curvature scalar that characterize the geometrical structure of a three-dimensional manifold are given. For an isotropic medium the derived expressions for the curvature tensor and curvature scalar reduce to the previous results.

© 1997 Optical Society of America

History
Original Manuscript: September 30, 1996
Revised Manuscript: March 18, 1997
Manuscript Accepted: March 18, 1997
Published: October 1, 1997

Citation
Wenda Shen, Jufang Zhang, Shitao Wang, and Shitong Zhu, "Fermat's principle, the general eikonal equation, and space geometry in a static anisotropic medium," J. Opt. Soc. Am. A 14, 2850-2854 (1997)
http://www.opticsinfobase.org/josaa/abstract.cfm?URI=josaa-14-10-2850

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