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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. 11 — Nov. 1, 2002
  • pp: 2245–2252

Numerical integration schemes used on the differential theory for anisotropic gratings

Koki Watanabe  »View Author Affiliations


JOSA A, Vol. 19, Issue 11, pp. 2245-2252 (2002)
http://dx.doi.org/10.1364/JOSAA.19.002245


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Abstract

Several formulations of the differential theory for anisotropic gratings are investigated numerically. Conventional formulations and recent formulations based on Li’s Fourier factorization rules are applied to a sinusoidal-profiled grating made of an anisotropic and conducting material. For both types of formulation, the numerical results of the differential and the rigorous coupled-wave methods are presented, and only the differential method based on Li’s Fourier factorization rules provides a reliable convergence. Moreover, several numerical integration schemes used on the differential method are examined, and the advantage of the implicit integration schemes is shown.

© 2002 Optical Society of America

OCIS Codes
(050.0050) Diffraction and gratings : Diffraction and gratings
(050.1950) Diffraction and gratings : Diffraction gratings

History
Original Manuscript: February 26, 2002
Revised Manuscript: May 22, 2002
Manuscript Accepted: May 22, 2002
Published: November 1, 2002

Citation
Koki Watanabe, "Numerical integration schemes used on the differential theory for anisotropic gratings," J. Opt. Soc. Am. A 19, 2245-2252 (2002)
http://www.opticsinfobase.org/josaa/abstract.cfm?URI=josaa-19-11-2245

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