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Two approaches to solving the problem of diffraction by a cylindrical body with a coordinate-dependent refractive index

  • Electrodynamics and Wave Propagation
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Abstract

An algorithm based on solving a two-dimensional integral equation for the problem of diffraction by an infinite cylindrical body with a coordinate-dependent refractive index is proposed. For the diffraction by a circular cylinder, rigorous approach reduced to solving the Helmholtz equation by expanding the field in a combined basis of splines and trigonometric functions is used. The comparison of two methods for the case when the squared wavenumber depends parabolically on the x-coordinate is performed. The method on the basis of the integral equation was tested on a problem of plane-wave scattering by a cylinder with an elliptic or a rectangular cross section under the assumption that the wavenumber of the medium inside the cylinder may be constant. A special case of the diffraction by an inhomogeneous circular cylinder from a metamaterial is also considered.

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Authors and Affiliations

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

    S. A. Manenkov

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  1. S. A. Manenkov
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Correspondence to S. A. Manenkov.

Additional information

Original Russian Text © S.A. Manenkov, 2016, published in Radiotekhnika i Elektronika, 2016, Vol. 61, No. 11, pp. 1049–1056.

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Manenkov, S.A. Two approaches to solving the problem of diffraction by a cylindrical body with a coordinate-dependent refractive index. J. Commun. Technol. Electron. 61, 1237–1244 (2016). https://doi.org/10.1134/S1064226916110097

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  • DOI: https://doi.org/10.1134/S1064226916110097

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