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Numerical solution of 3D problems of electromagnetic wave diffraction on a system of ideally conducting surfaces by the method of hypersingular integral equations

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Abstract

We construct a numerical method for solving problems of electromagnetic wave diffraction on a system of solid and thin objects based on the reduction of the problem to a boundary integral equation treated in the sense of the Hadamard finite value. For the construction of such an equation, we construct a numerical scheme on the basis of the method of piecewise continuous approximations and collocations. Unlike earlier known schemes, by using the below-suggested scheme, we have found approximate analytic expressions for the coefficients of the arising system of linear equations by isolating the leading part of the kernel of the integral operator. We present examples of solution of a number of model problems of the diffraction of electromagnetic waves by the suggested method.

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Authors and Affiliations

  1. Moscow State University, Moscow, Russia

    E. V. Zakharov, G. V. Ryzhakov & A. V. Setukha

Authors
  1. E. V. Zakharov
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  2. G. V. Ryzhakov
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  3. A. V. Setukha
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Correspondence to E. V. Zakharov.

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Original Russian Text © E.V. Zakharov, G.V. Ryzhakov, A.V. Setukha, 2014, published in Differentsial’nye Uravneniya, 2014, Vol. 50, No. 9, pp. 1253–1263.

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Zakharov, E.V., Ryzhakov, G.V. & Setukha, A.V. Numerical solution of 3D problems of electromagnetic wave diffraction on a system of ideally conducting surfaces by the method of hypersingular integral equations. Diff Equat 50, 1240–1251 (2014). https://doi.org/10.1134/S0012266114090110

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  • DOI: https://doi.org/10.1134/S0012266114090110

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