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Application of the Method of Continued Boundary Conditions to the Solution of the Problem of Wave Diffraction on Scatterers of Complex Geometry Located in Homogeneous and Heterogeneous Media

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Abstract

A method that allows modeling the scattering characteristics of bodies of arbitrary geometry has been proposed on the basis of the method of continued boundary conditions. The paper considers a two-dimensional problem of plane wave diffraction on dielectric bodies with complex cross-section geometry—in particular, on fractal-like bodies. Numerical algorithms for solving the diffraction problem based on systems of integral equations of the first and second kind have been compared. The method has been generalized to the problem of diffraction on a cylindrical body located in a homogeneous magnetodielectric half-space. The correctness of the method was confirmed by checking the fulfillment of the optical theorem for different bodies and by comparing with the results of calculations obtained by a modified method of discrete sources.

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Funding

This work was partially supported by the Russian Foundation for Basic Research, projects no. 18-02-00961 and 19-02-00654.

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Authors and Affiliations

  1. Moscow Technical University of Communications and Informatics, 111024, Moscow, Russia

    D. V. Krysanov, A. G. Kyurkchan & S. A. Manenkov

  2. Fryazino Branch, State Budgetary Institution of Science, Kotelnikov Institute of Radio-engineering and Electronics, Russian Academy of Sciences, 141190, Fryazino, Moscow oblast, Russia

    A. G. Kyurkchan

  3. Central Research Institute of Communications, 111141, Moscow, Russia

    A. G. Kyurkchan

Authors
  1. D. V. Krysanov
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  2. A. G. Kyurkchan
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  3. S. A. Manenkov
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Correspondence to D. V. Krysanov.

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The authors declare that they have no conflict of interest.

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Translated by N. Petrov

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Krysanov, D.V., Kyurkchan, A.G. & Manenkov, S.A. Application of the Method of Continued Boundary Conditions to the Solution of the Problem of Wave Diffraction on Scatterers of Complex Geometry Located in Homogeneous and Heterogeneous Media. Opt. Spectrosc. 128, 481–489 (2020). https://doi.org/10.1134/S0030400X20040141

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  • DOI: https://doi.org/10.1134/S0030400X20040141

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