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The Rayleigh method is applied to solving the boundary value problem (BVP) for an E-polarized plane wave scattering by a dielectric-loaded semicircular trough in a perfectly electrically conducting (PEC) plane. A Fredholm second kind matrix equation is obtained for the Fourier coefficients upon using an additional equation in contrast to the traditional method. The Fredholm equation obtained yields a numerical solution with guaranteed convergence to the mentioned BVP. Proposed method is applied to study the radar cross section (RCS) reduction problem and to a model investigation of backscattering from an iceberg compared to rough estimated low-angle sea-clutter.
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A. G. Tyzhnenko (2004) studied this question.
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