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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: Stephen A. Burns
  • Vol. 24, Iss. 6 — Jun. 1, 2007
  • pp: 1647–1655

Rigorous formulation for electromagnetic plane-wave scattering from a general-shaped groove in a perfectly conducting plane

Mohamed A. Basha, Sujeet K. Chaudhuri, Safieddin Safavi-Naeini, and H. J. Eom  »View Author Affiliations


JOSA A, Vol. 24, Issue 6, pp. 1647-1655 (2007)
http://dx.doi.org/10.1364/JOSAA.24.001647


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Abstract

Scattering of an obliquely incident plane wave by a general-shaped groove engraved on a perfectly conducting plane is rigorously solved. The scattered field is represented by a Fourier-integral representation. To analytically represent the fields in a general-shaped groove, the groove is divided into L number of layers. Fields are then expressed in each layer as summations of 2D spatial harmonic fields with unknown coefficients. Matching the boundary conditions between layers provides a linear set of equations connecting all the unknown harmonic coefficients. Judicious use of Fourier transform on the equations resulting from matching boundary conditions at the groove aperture provides a series representation of the scattered field in the spectral domain with unknown harmonic coefficients of the first layer in the groove. A stable solution is obtained by solving the complete system of equations with an adaptive choice for the number of modes in each layer.

© 2007 Optical Society of America

OCIS Codes
(050.1220) Diffraction and gratings : Apertures
(050.1940) Diffraction and gratings : Diffraction
(070.2590) Fourier optics and signal processing : ABCD transforms

ToC Category:
Diffraction and Gratings

History
Original Manuscript: July 24, 2006
Revised Manuscript: December 13, 2006
Manuscript Accepted: December 14, 2006
Published: May 9, 2007

Citation
Mohamed A. Basha, Sujeet K. Chaudhuri, Safieddin Safavi-Naeini, and H. J. Eom, "Rigorous formulation for electromagnetic plane-wave scattering from a general-shaped groove in a perfectly conducting plane," J. Opt. Soc. Am. A 24, 1647-1655 (2007)
http://www.opticsinfobase.org/josaa/abstract.cfm?URI=josaa-24-6-1647

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