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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. 29, Iss. 5 — May. 1, 2012
  • pp: 734–740

High order integral equation method for diffraction gratings

Wangtao Lu and Ya Yan Lu  »View Author Affiliations


JOSA A, Vol. 29, Issue 5, pp. 734-740 (2012)
http://dx.doi.org/10.1364/JOSAA.29.000734


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Abstract

Conventional integral equation methods for diffraction gratings require lattice sum techniques to evaluate quasi-periodic Green’s functions. The boundary integral equation Neumann-to-Dirichlet map (BIE-NtD) method in Wu and Lu [J. Opt. Soc. Am. A 26, 2444 (2009)], [J. Opt. Soc. Am. A 28, 1191 (2011)] is a recently developed integral equation method that avoids the quasi-periodic Green’s functions and is relatively easy to implement. In this paper, we present a number of improvements for this method, including a revised formulation that is more stable numerically, and more accurate methods for computing tangential derivatives along material interfaces and for matching boundary conditions with the homogeneous top and bottom regions. Numerical examples indicate that the improved BIE-NtD map method achieves a high order of accuracy for in-plane and conical diffractions of dielectric gratings.

© 2012 Optical Society of America

OCIS Codes
(000.4430) General : Numerical approximation and analysis
(050.1960) Diffraction and gratings : Diffraction theory
(050.1755) Diffraction and gratings : Computational electromagnetic methods

ToC Category:
Diffraction and Gratings

History
Original Manuscript: January 3, 2012
Manuscript Accepted: January 26, 2012
Published: April 19, 2012

Citation
Wangtao Lu and Ya Yan Lu, "High order integral equation method for diffraction gratings," J. Opt. Soc. Am. A 29, 734-740 (2012)
http://www.opticsinfobase.org/josaa/abstract.cfm?URI=josaa-29-5-734

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