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Journal of the Optical Society of America A

Journal of the Optical Society of America A


  • Editor: Franco Gori
  • Vol. 31, Iss. 8 — Aug. 1, 2014
  • pp: 1698–1709

Projection operator method for biperiodic diffraction gratings with anisotropic/bianisotropic generalizations

Kenneth C. Johnson  »View Author Affiliations

JOSA A, Vol. 31, Issue 8, pp. 1698-1709 (2014)

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The “projection operator” method is a variation of the normal-vector method for simulating optical diffraction from biperiodic gratings. A projection operator defined by the normal vector is interpolated over the grating volume rather than interpolating the vector itself. This approach circumvents difficulties associated with sign reversals and discontinuities encountered with the normal-vector method, and it facilitates implementation for general grating geometries. The method is readily extensible to anisotropic and bianisotropic materials. Several numerical examples of the new method are presented, including comparisons to previously published test cases.

© 2014 Optical Society of America

OCIS Codes
(050.0050) Diffraction and gratings : Diffraction and gratings
(090.7330) Holography : Volume gratings
(230.1950) Optical devices : Diffraction gratings
(260.0260) Physical optics : Physical optics
(350.2770) Other areas of optics : Gratings

ToC Category:
Diffraction and Gratings

Original Manuscript: April 18, 2014
Manuscript Accepted: June 2, 2014
Published: July 3, 2014

Kenneth C. Johnson, "Projection operator method for biperiodic diffraction gratings with anisotropic/bianisotropic generalizations," J. Opt. Soc. Am. A 31, 1698-1709 (2014)

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