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Optics Express

Optics Express

  • Editor: C. Martijn de Sterke
  • Vol. 17, Iss. 10 — May. 11, 2009
  • pp: 8051–8061

Matched coordinates and adaptive spatial resolution in the Fourier modal method

Thomas Weiss, Gérard Granet, Nikolay A. Gippius, Sergei G. Tikhodeev, and Harald Giessen  »View Author Affiliations


Optics Express, Vol. 17, Issue 10, pp. 8051-8061 (2009)
http://dx.doi.org/10.1364/OE.17.008051


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Abstract

Several improvements have been introduced for the Fourier modal method in the last fifteen years. Among those, the formulation of the correct factorization rules and adaptive spatial resolution have been crucial steps towards a fast converging scheme, but an application to arbitrary two-dimensional shapes is quite complicated. We present a generalization of the scheme for non-trivial planar geometries using a covariant formulation of Maxwell’s equations and a matched coordinate system aligned along the interfaces of the structure that can be easily combined with adaptive spatial resolution. In addition, a symmetric application of Fourier factorization is discussed.

© 2009 Optical Society of America

OCIS Codes
(090.1970) Holography : Diffractive optics
(050.1755) Diffraction and gratings : Computational electromagnetic methods
(160.3918) Materials : Metamaterials
(160.5298) Materials : Photonic crystals

ToC Category:
Diffraction and Gratings

History
Original Manuscript: February 20, 2009
Revised Manuscript: April 10, 2009
Manuscript Accepted: April 21, 2009
Published: April 29, 2009

Citation
Thomas Weiss, Gérard Granet, Nikolay A. Gippius, Sergei G. Tikhodeev, and Harald Giessen, "Matched coordinates and adaptive spatial resolution in the Fourier modal method," Opt. Express 17, 8051-8061 (2009)
http://www.opticsinfobase.org/oe/abstract.cfm?URI=oe-17-10-8051


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