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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

  • Editor: Franco Gori
  • Vol. 27, Iss. 11 — Nov. 1, 2010
  • pp: 2375–2380

Constrained least squares Fourier modal method for computing scattering from metallic binary gratings

Krishna Mohan Gundu and Arash Mafi  »View Author Affiliations


JOSA A, Vol. 27, Issue 11, pp. 2375-2380 (2010)
http://dx.doi.org/10.1364/JOSAA.27.002375


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Abstract

In a recent article [ J. Opt. Soc. Am. A 27, 1694 (2010) ], we proposed a rectangular truncation method to mitigate the convergence problems arising from the boundary matching conditions of a binary metallic grating. The proposed method may underestimate the total power in the scattered field for certain grating parameters. In this article, we extend this method to preserve the total power by introducing appropriate constraints and solving the resulting problem as a constrained least squares minimization problem. We provide examples to show that the new method provides a convergent solution for both lossy and lossless binary metallic gratings while preserving the total power.

© 2010 Optical Society of America

OCIS Codes
(050.2770) Diffraction and gratings : Gratings
(050.1755) Diffraction and gratings : Computational electromagnetic methods

ToC Category:
Diffraction and Gratings

History
Original Manuscript: July 2, 2010
Revised Manuscript: September 6, 2010
Manuscript Accepted: September 9, 2010
Published: October 11, 2010

Citation
Krishna Mohan Gundu and Arash Mafi, "Constrained least squares Fourier modal method for computing scattering from metallic binary gratings," J. Opt. Soc. Am. A 27, 2375-2380 (2010)
http://www.opticsinfobase.org/josaa/abstract.cfm?URI=josaa-27-11-2375

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