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

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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