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Singular Modes of the Integral Scattering Operator in Anisotropic Inhomogeneous Media

  • INTEGRAL AND INTEGRO-DIFFERENTIAL EQUATIONS
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Abstract

We study singular modes of volume singular integral equations describing problems of scattering of electromagnetic wave in anisotropic dielectric structures. An explicit form of these modes is obtained for a certain class of anisotropic media. Example of real media in which singular modes can exist are considered.

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REFERENCES

  1. Samokhin, A.B., Integral’nye uravneniya i iteratsionnye metody v elektromagnitnom rasseyanii (Integral Equations and Iteration Methods in Electromagnetic Scattering), Moscow: Radio Svyaz’, 1998.

    Google Scholar 

  2. Samokhin, A.B., Integral Equations and Iteration Methods in Electromagnetic Scattering, Utrecht: de Gruyter, 2001.

    Book  Google Scholar 

  3. Samokhin, A.B., Volume singular integral equations for problems of scattering on three-dimensional dielectric structures, Differ. Equations, 2014, vol. 50, no. 9, pp. 1201–1216.

    Article  MathSciNet  Google Scholar 

  4. Fukumoto, Y. and Samokhin, A., Singular electromagnetic modes in an anisotropic medium, Wave Motion, 2013, vol. 50, no. 3, pp. 481–493.

    Article  MathSciNet  Google Scholar 

  5. Kantorovich, L.V. and Akilov, G.P., Funktsional’nyi analiz (Functional Analysis), Moscow: Nauka, 1977.

    Google Scholar 

  6. Budko, N.V. and Samokhin, A.B., Singular modes of electromagnetic field,J. Phys. A. Math. Theor., 2007, vol. 40, pp. 6239–6250.

    Article  MathSciNet  Google Scholar 

  7. Ginzburg, V.L., Rasprostranenie elektromagnitnykh voln v plazme (Propagation of Electromagnetic Waves in Plasma), Moscow: Nauka, 1967.

    Google Scholar 

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Correspondence to A. B. Samokhin or Y. Fukumoto.

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Translated by V. Potapchouck

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Samokhin, A.B., Fukumoto, Y. Singular Modes of the Integral Scattering Operator in Anisotropic Inhomogeneous Media. Diff Equat 56, 1212–1218 (2020). https://doi.org/10.1134/S0012266120090104

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  • DOI: https://doi.org/10.1134/S0012266120090104

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