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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. 15, Iss. 7 — Jul. 1, 1998
  • pp: 1843–1851

High-order effective-medium theory of subwavelength gratings in classical mounting: application to volume holograms

Philippe Lalanne and Jean-Paul Hugonin  »View Author Affiliations


JOSA A, Vol. 15, Issue 7, pp. 1843-1851 (1998)
http://dx.doi.org/10.1364/JOSAA.15.001843


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Abstract

We derive closed-form expressions for the effective index of subwavelength gratings up to the fourth and the second order for TE and TM polarization, respectively. These expressions are valid for arbitrary grating structures and are a generalization of previous results obtained for lamellar gratings with one groove per period (a structure often called a two-component layered medium). The effective-medium-theory predictions are carefully validated with exact electromagnetic theories for slanted and unslanted sinusoidally modulated volume gratings and for classical mounting. It is shown that, even for large period-to-wavelength ratios near the cutoff value, the form birefringence is accurately predicted at any angle of incidence.

© 1998 Optical Society of America

OCIS Codes
(050.1970) Diffraction and gratings : Diffractive optics
(050.7330) Diffraction and gratings : Volume gratings
(260.1440) Physical optics : Birefringence

History
Original Manuscript: December 1, 1997
Revised Manuscript: February 19, 1998
Manuscript Accepted: March 2, 1998
Published: July 1, 1998

Citation
Philippe Lalanne and Jean-Paul Hugonin, "High-order effective-medium theory of subwavelength gratings in classical mounting: application to volume holograms," J. Opt. Soc. Am. A 15, 1843-1851 (1998)
http://www.opticsinfobase.org/josaa/abstract.cfm?URI=josaa-15-7-1843

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