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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. 31, Iss. 4 — Apr. 1, 2014
  • pp: 900–906

Treatment of nonconvergence of Fourier modal method arising from irregular field singularities at lossless metal-dielectric right-angle edges

Yanpeng Mei, Haitao Liu, and Ying Zhong  »View Author Affiliations


JOSA A, Vol. 31, Issue 4, pp. 900-906 (2014)
http://dx.doi.org/10.1364/JOSAA.31.000900


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Abstract

In a recent work [J. Opt. Soc. Am. A 28, 738 (2011)], Lifeng Li and Gerard Granet investigate nonconvergence cases of the Fourier modal method (FMM). They demonstrate that the nonconvergence is due to the irregular field singularities at lossless metal-dielectric right-angle edges. Here we make further investigations on the problem and find that the FMM surprisingly converges for deep sub-wavelength gratings (grating period being much smaller than the illumination wavelength). To overcome the nonconvergence for gratings that are not deep sub-wavelength, we approximately replace the lossless metal-dielectric right-angle edges by a medium with a gradually varied refraction index, so as to remove the irregular field singularities. With such treatment, convergence is observed as the region of the approximate medium approaches vanishing.

© 2014 Optical Society of America

OCIS Codes
(050.0050) Diffraction and gratings : Diffraction and gratings
(050.2770) Diffraction and gratings : Gratings
(050.1755) Diffraction and gratings : Computational electromagnetic methods
(050.6624) Diffraction and gratings : Subwavelength structures

ToC Category:
Diffraction and Gratings

History
Original Manuscript: January 21, 2014
Manuscript Accepted: February 25, 2014
Published: March 31, 2014

Citation
Yanpeng Mei, Haitao Liu, and Ying Zhong, "Treatment of nonconvergence of Fourier modal method arising from irregular field singularities at lossless metal-dielectric right-angle edges," J. Opt. Soc. Am. A 31, 900-906 (2014)
http://www.opticsinfobase.org/josaa/abstract.cfm?URI=josaa-31-4-900

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