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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. 13, Iss. 4 — Apr. 1, 1996
  • pp: 779–784

Highly improved convergence of the coupled-wave method for TM polarization

Philippe Lalanne and G. Michael Morris  »View Author Affiliations


JOSA A, Vol. 13, Issue 4, pp. 779-784 (1996)
http://dx.doi.org/10.1364/JOSAA.13.000779


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Abstract

The coupled-wave method formulated by Moharam and Gaylord [ J. Opt. Soc. Am. 73, 451 ( 1983)] is known to be slowly converging, especially for TM polarization of metallic lamellar gratings. The slow convergence rate has been analyzed in detail by Li and Haggans [ J. Opt. Soc. Am. A 10, 1184 ( 1993)], who made clear that special care must be taken when coupled-wave methods are used for TM polarization. By reformulating the eigenproblem of the coupled-wave method, we provide numerical evidence and argue that highly improved convergence rates similar to the TE polarization case can be obtained. The discussion includes both nonconical and conical mountings.

© 1996 Optical Society of America

History
Original Manuscript: June 12, 1995
Revised Manuscript: August 28, 1995
Manuscript Accepted: August 30, 1995
Published: April 1, 1996

Citation
Philippe Lalanne and G. Michael Morris, "Highly improved convergence of the coupled-wave method for TM polarization," J. Opt. Soc. Am. A 13, 779-784 (1996)
http://www.opticsinfobase.org/josaa/abstract.cfm?URI=josaa-13-4-779

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