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Mathematical model of propagation of electromagnetic waves in composite media with spheroidal particles

Abstract

A mathematical model describing the propagation of monochromatic electromagnetic waves in a medium with spatial dispersion containing spheroidal particles of the along prescribed direction has been developed. The initial classical integro-differential model for electromagnetic fields in a medium with spatial dispersion is transformed, within the third-order infinitesimal, to the differential model, where the integro-differential Maxwell equations are represented as  a system of second-order differential equations. In this case electrical and magnetic polarizations of the medium are given          in the Laplace operators. This system of equations is analytically solved; a complete system of four forward and four  backward counter-propagating electromagnetic waves is formed. The analytical representation of the fields includes a vector determining the propagation direction of plane waves. Wave numbers of the fields also depend on their propagation  directions pointing to anisotropic character of the developed mathematical model.

For citations:


Erofeenko V.T., Urbanovich A.I. Mathematical model of propagation of electromagnetic waves in composite media with spheroidal particles. Informatics. 2018;15(3):102-112. (In Russ.)

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ISSN 1816-0301 (Print)
ISSN 2617-6963 (Online)