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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. 4 — Apr. 1, 2012
  • pp: 593–604

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

Lifeng Li  »View Author Affiliations


JOSA A, Vol. 29, Issue 4, pp. 593-604 (2012)
http://dx.doi.org/10.1364/JOSAA.29.000593


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Abstract

I extend a previous work [J. Opt. Soc. Am. A 28, 738 (2011)] on field singularities at lossless metal–dielectric right-angle edges and their ramifications to the numerical modeling of gratings to the case of arbitrary metallic wedge angles. Simple criteria are given that allow one knowing the lossless permittivities and the arbitrary wedge angles to determine if the electric field at the edges is nonsingular, can be regularly singular, or can be irregularly singular without calculating the singularity exponent. Furthermore, the knowledge of the singularity type enables one to predict immediately if a numerical method that uses Fourier expansions of the transverse electric field components at the edges will converge or not without making any numerical tests. All conclusions of the previous work about the general relationships between field singularities, Fourier representation of singular fields, and convergence of numerical methods for modeling lossless metal–dielectric gratings have been reconfirmed.

© 2012 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: November 2, 2011
Manuscript Accepted: December 21, 2011
Published: March 26, 2012

Citation
Lifeng Li, "Field singularities at lossless metal–dielectric arbitrary-angle edges and their ramifications to the numerical modeling of gratings," J. Opt. Soc. Am. A 29, 593-604 (2012)
http://www.opticsinfobase.org/josaa/abstract.cfm?URI=josaa-29-4-593

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