Abstract
Theorems on the uniqueness and existence of solutions to problems of scattering electromagnetic waves by bounded three-dimensional inhomogeneous anisotropic bodies, including lossless ones with discontinuities in the parameters of the medium, are proved.
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REFERENCES
D. Colton and R. Kress, Integral Equation Methods in Scattering Theory (Wiley, New York, 1984).
R. Potthast, J. Integral Equations Appl. 11 (2), 197–215 (1999).
A. B. Samokhin, Differ. Equations 50 (9), 1201–1216 (2014).
A. B. Samokhin, Integral Equations and Iteration Methods in Electromagnetic Scattering (Radio i Svyaz’, Moscow, 1998) [in Russian].
J. M. Ball, Y. Capdeboscq, and B. Xiao Tsering, Math. Models Methods Appl. Sci. 22 (11), 1–34 (2012).
Yu. G. Smirnov and A. A. Tsupak, Comput. Math. Math. Phys. 57 (4), 698–705 (2017).
L. Hörmander, The Analysis of Linear Partial Differential Operators, Vol. 3: Pseudo-Differential Operators (Springer-Verlag, Berlin, 1985).
Funding
This work was supported by the Russian Science Foundation, project no. 20-11-20087.
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Translated by I. Ruzanova
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Samokhin, A.B., Smirnov, Y.G. Uniqueness and Existence Theorems for Solving Problems of Scattering Electromagnetic Waves by Anisotropic Bodies. Dokl. Math. 103, 50–53 (2021). https://doi.org/10.1134/S1064562421010142
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DOI: https://doi.org/10.1134/S1064562421010142