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Volume singular integral equations for problems of scattering on three-dimensional dielectric structures

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Abstract

We consider volume singular integral equations describing problems of scattering of electromagnetic waves in bounded three-dimensional dielectric structures. We analyze the equations mathematically. Existence and uniqueness theorems are presented, and the spectrum of the integral operators is studied.

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Authors and Affiliations

  1. Moscow State Technical University of Radio Engineering, Electronics, and Automation, Moscow, Russia

    A. B. Samokhin

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  1. A. B. Samokhin
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Correspondence to A. B. Samokhin.

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Original Russian Text © A.B. Samokhin, 2014, published in Differentsial’nye Uravneniya, 2014, Vol. 50, No. 9, pp. 1215–1230.

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Samokhin, A.B. Volume singular integral equations for problems of scattering on three-dimensional dielectric structures. Diff Equat 50, 1201–1216 (2014). https://doi.org/10.1134/S0012266114090079

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  • DOI: https://doi.org/10.1134/S0012266114090079

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