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Construction of Integral Representations of Fields in Problems of Diffraction by Penetrable Bodies of Revolution

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Abstract

Based on integral representations with densities distributed along a segment of the symmetry axis, a representation of the solution of the boundary value problem of plane wave diffraction by a local penetrable body of revolution with smooth surface is constructed and justified. The resulting integral representation allows one to avoid resonances of the interior domain when analyzing the scattering frequency characteristics.

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Funding

This work was carried out with financial support from the Ministry of Science and Higher Education of the Russian Federation within the framework of the program of the Moscow Center for Fundamental and Applied Mathematics under agreement no. 075-15-2022-284.

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Authors and Affiliations

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

    Yu. A. Eremin & V. V. Lopushenko

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  1. Yu. A. Eremin
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  2. V. V. Lopushenko
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Correspondence to Yu. A. Eremin or V. V. Lopushenko.

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Translated by V. Potapchouck

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Eremin, Y.A., Lopushenko, V.V. Construction of Integral Representations of Fields in Problems of Diffraction by Penetrable Bodies of Revolution. Diff Equat 59, 1235–1241 (2023). https://doi.org/10.1134/S0012266123090082

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  • DOI: https://doi.org/10.1134/S0012266123090082

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