Polynomial Solutions of Electric Field Equations in Anisotropic Media

Year 2024, Volume: 12 Issue: 1, 77 - 87, 21.06.2024

Meltem Altunkaynak

https://doi.org/10.51354/mjen.1274359

Abstract

The time-dependent system of partial differential equations of the second order
describing the electric wave propagation in electrically and magnetically anisotropic
homogeneous media is considered in the paper. A method for the computation of
the polynomial solutions of the initial value problem for the considered system
is proposed. Symbolic computations are used and these symbolic computations
are implemented in Maple. It is proved also that these polynomial solutions are
approximate solutions of the considered initial value problem with smooth initial
data and the inhomogeneous term. The computational experiments confirm the
robustness of the suggested method for the computation of electric fields in general
electrically and magnetically anisotropic media.

Keywords

The timedependent electric field equations, electromagnetic radiation, analytical method, symbolic computations, anisotropic media

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