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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. 28, Iss. 5 — May. 1, 2011
  • pp: 738–746

Field singularities at lossless metal-dielectric right-angle edges and their ramifications to the numerical modeling of gratings

Lifeng Li and Gérard Granet  »View Author Affiliations


JOSA A, Vol. 28, Issue 5, pp. 738-746 (2011)
http://dx.doi.org/10.1364/JOSAA.28.000738


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Abstract

We mathematically prove and numerically demonstrate that the source of the convergence problem of the anal ytical modal method and the Fourier modal method for modeling some lossless metal-dielectric lamellar gratings in TM polarization recently reported by Gundu and Mafi [ J. Opt. Soc. Am. A 27, 1694 (2010)] is the existence of irregular field singularities at the edges of the grating grooves. We show that Fourier series are incapable of representing the transverse electric field components in the vicinity of an edge of irregular field singularity; therefore, any method, not necessarily of modal type, using Fourier series in this way is doomed to fail. A set of precise and simple criteria is given with which, given a lamellar grating, one can predict whether the conventional implementation of a modal method of any kind will converge without running a convergence test.

© 2011 Optical Society of America

OCIS Codes
(050.0050) Diffraction and gratings : Diffraction and gratings
(050.1950) Diffraction and gratings : Diffraction gratings
(050.2770) Diffraction and gratings : Gratings
(290.0290) Scattering : Scattering
(050.1755) Diffraction and gratings : Computational electromagnetic methods

ToC Category:
Diffraction and Gratings

History
Original Manuscript: February 9, 2011
Manuscript Accepted: February 12, 2011
Published: April 7, 2011

Citation
Lifeng Li and Gérard Granet, "Field singularities at lossless metal-dielectric right-angle edges and their ramifications to the numerical modeling of gratings," J. Opt. Soc. Am. A 28, 738-746 (2011)
http://www.opticsinfobase.org/josaa/abstract.cfm?URI=josaa-28-5-738


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