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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. 8 — Aug. 1, 2002
  • pp: 1668–1673

Huygens’s principle and rays in uniaxial anisotropic media. I. Crystal axis normal to refracting surface

Maximino Avendaño-Alejo, Orestes N. Stavroudis, and Ana Rosa Boyain y Goitia  »View Author Affiliations


JOSA A, Vol. 19, Issue 8, pp. 1668-1673 (2002)
http://dx.doi.org/10.1364/JOSAA.19.001668


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Abstract

Huygens’s principle is used to derive equations for tracing the extraordinary ray in a uniaxial crystal when the crystal axis is normal to the refracting surface. Snell’s law is used to trace ordinary rays that lead to an array of ordinary spherical wavelets centered on the refracting surface. Each spherical wavelet is then replaced by an extraordinary wavelet in the shape of a rotationally symmetric ellipsoid whose major axis is in the direction of the crystal axis. The envelope of these is the extraordinary wave front; the extraordinary ray is a vector from the center of the wavelet to its point of contact with the extraordinary wave front. The inverse problem is also solved, yielding expressions for the ordinary ray in terms of the extraordinary ray, making it possible to trace the extraordinary ray out of the system by using a fictive ordinary ray. We found the geometrical invariant for the uniaxial crystals.

© 2002 Optical Society of America

OCIS Codes
(080.0080) Geometric optics : Geometric optics
(260.1180) Physical optics : Crystal optics
(260.1440) Physical optics : Birefringence

History
Original Manuscript: December 10, 2001
Revised Manuscript: March 12, 2002
Manuscript Accepted: March 15, 2002
Published: August 1, 2002

Citation
Maximino Avendaño-Alejo, Orestes N. Stavroudis, and Ana Rosa Boyain y Goitia, "Huygens’s principle and rays in uniaxial anisotropic media. I. Crystal axis normal to refracting surface," J. Opt. Soc. Am. A 19, 1668-1673 (2002)
http://www.opticsinfobase.org/josaa/abstract.cfm?URI=josaa-19-8-1668


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References

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