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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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References

  1. L. Li, C. W. Haggans, “Convergence of the coupled-wave method for metallic lamellar diffraction gratings,” J. Opt. Soc. Am. A 10, 1184–1189 (1993). [CrossRef]
  2. M. G. Moharam, T. K. Gaylord, “Rigorous coupled-wave analysis of grating diffraction—E-mode polarization and losses,” J. Opt. Soc. Am. 73, 451–455 (1983). [CrossRef]
  3. M. G. Moharam, E. B. Grann, D. A. Pommet, T. K. Gaylord, “Formulation for stable and efficient implementation of the rigorous coupled-wave analysis of binary gratings,” J. Opt. Soc. Am. A 12, 1068–1086 (1995). [CrossRef]
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  8. G. Bouchitte, R. Petit, “Homogenization techniques as applied in the electromagnetic theory of gratings,” Electromagnetics 5, 17–36 (1985). [CrossRef]
  9. Ph. Lalanne, D. Lemercier-Lalanne, “On the effective medium theory of subwavelength periodic structures,” submitted to J. Mod. Opt.

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