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Method of Integral Equations for the Three-Dimensional Problem of Wave Reflection from an Irregular Surface

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Abstract

The problem on the reflection of the field of a plane H-polarized three-dimensional electromagnetic wave from a perfectly conducting interface between media which contains a local perfectly conducting inhomogeneity is considered. To construct a numerical algorithm, the boundary value problem for the system of Maxwell equations in an infinite domain with irregular boundary is reduced to a system of singular integral equations, which is solved by the approximation–collocation method. The elements of the resulting complex matrix are calculated by a specially developed algorithm. The solution of the system of singular integral equations is used to obtain an integral representation for the reflected electromagnetic field and computational formulas for the directional diagram of the reflected electromagnetic field in the far region.

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Authors and Affiliations

  1. Lomonosov Moscow State University, Moscow, 119991, Russia

    A. S. Il’inskii & T. N. Galishnikova

Authors
  1. A. S. Il’inskii
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  2. T. N. Galishnikova
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Correspondence to A. S. Il’inskii.

Additional information

Original Russian Text © A.S. Il’inskii, T.N. Galishnikova, 2018, published in Differentsial’nye Uravneniya, 2018, Vol. 54, No. 9, pp. 1218–1227.

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Il’inskii, A.S., Galishnikova, T.N. Method of Integral Equations for the Three-Dimensional Problem of Wave Reflection from an Irregular Surface. Diff Equat 54, 1191–1201 (2018). https://doi.org/10.1134/S0012266118090070

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  • DOI: https://doi.org/10.1134/S0012266118090070

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