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Rigorous formulation for electromagnetic plane-wave scattering from a general-shaped groove in a perfectly conducting
Mohamed A Basha1, Sujeet K Chaudhuri, Safieddin Safavi-Naeini
1Department of Electrical and Computer Engineering, University of Waterloo, Ontario, Canada. mbasha@maxwell.uwaterloo.ca
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.
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