Some cases of electromagnetic wave propagation in terms of analytical study

Abstract

Analytical study of electromagnetic wave propagation is proposed in the case of arbitrary excited expofunctional isotropic linear homogeneous medium. Mathematical simulation is based on the symmetrical differential Maxwell system. Solvability criterion of the latter is proved in the sense of equivalence to the general wave PDE (partial differential equation). It includes all scalar components of unknown electromagnetic field intensities, and only non generalized functions are taken into account. The proven theorem allows considering boundary problems which correctly describe electromagnetic field behavior and / or signal propagation that is governed by it.