Grating diffraction and Wood's anomalies at two-dimensionally periodic impedance surfaces

Journal of the Optical Society of America. A, Optics, Image Science, and Vision
Frank FalcoK Ming Leung

Abstract

We address the problem of plane-wave scattering and Wood's anomalies at two-dimensional (2-D) periodic surfaces by employing a simplified grating model given by a planar surface whose impedance varies sinusoidally along two orthogonal directions. We obtain a rigorous solution to the corresponding boundary-value problem in terms of an infinite set of coupled recurrence equations. When truncated for computational purposes, this solution is in the form of a banded matrix, which we solve by direct methods and also by a highly efficient iterated matrix procedure. Numerical results are presented for symmetric and nonsymmetric incidence cases, and we show that certain diffracted fields do not depolarize in the former case. The expected Wood's anomalies of both Rayleigh and leaky-wave types are confirmed, and their location in wavelength space is numerically demonstrated for 2-D periodic configurations.

References

Oct 21, 1991·Physical Review Letters·E YablonovitchK M Leung
Jun 8, 2001·Journal of the Optical Society of America. A, Optics, Image Science, and Vision·A MizutaniK Iwata
Nov 2, 2001·Journal of the Optical Society of America. A, Optics, Image Science, and Vision·E Popov, M Nevière
Jun 7, 2002·Journal of the Optical Society of America. A, Optics, Image Science, and Vision·Anne-Laure FehrembachAnne Sentenac
Oct 9, 2002·Journal of the Optical Society of America. A, Optics, Image Science, and Vision·Chung-Hsiang LinTheodor Tamir
May 10, 1993·Applied Optics·S S Wang, R Magnusson

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Citations

May 12, 2007·Journal of the Optical Society of America. A, Optics, Image Science, and Vision·Frank FalcoK Ming Leung
Apr 3, 2010·Journal of the Optical Society of America. A, Optics, Image Science, and Vision·Kevin TetzYeshaiahu Fainman

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