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Journal of the Optical Society of America A

Journal of the Optical Society of America A


  • Editor: Franco Gori
  • Vol. 30, Iss. 4 — Apr. 1, 2013
  • pp: 573–581

Fast modal method for crossed grating computation, combining finite formulation of Maxwell equations with polynomial approximated constitutive relations

Benjamin Portier, Fabrice Pardo, Patrick Bouchon, Riad Haïdar, and Jean-Luc Pelouard  »View Author Affiliations

JOSA A, Vol. 30, Issue 4, pp. 573-581 (2013)

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We present a modal method for the fast analysis of 2D-layered gratings. It combines exact discrete formulations of Maxwell equations in 2D space with polynomial approximations of the constitutive equations, and provides a sparse formulation of the eigenvalue equations. In specific cases, the use of sparse matrices allows us to calculate the electromagnetic response while solving only a small fraction of the eigenmodes. This significantly increases computational speed up to 100×, as shown on numerical examples of both dielectric and metallic subwavelength gratings.

© 2013 Optical Society of America

OCIS Codes
(050.1950) Diffraction and gratings : Diffraction gratings
(050.1755) Diffraction and gratings : Computational electromagnetic methods
(350.4238) Other areas of optics : Nanophotonics and photonic crystals
(250.5403) Optoelectronics : Plasmonics
(050.6624) Diffraction and gratings : Subwavelength structures

ToC Category:
Diffraction and Gratings

Original Manuscript: October 19, 2012
Revised Manuscript: January 9, 2013
Manuscript Accepted: February 5, 2013
Published: March 6, 2013

Benjamin Portier, Fabrice Pardo, Patrick Bouchon, Riad Haïdar, and Jean-Luc Pelouard, "Fast modal method for crossed grating computation, combining finite formulation of Maxwell equations with polynomial approximated constitutive relations," J. Opt. Soc. Am. A 30, 573-581 (2013)

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