Mathematical modeling of electromagnetic wave propagation in inhomogeneous medium

Analytical study of electromagnetic wave propagation is done in the case of excited inhomogeneous isotropic linear medium. Mathematical modeling is based on the respective boundary problems whose partial differential equation (PDE) is the general wave one regarding the unknown electromagnetic field intensities. In its turn, this PDE is generated by the specific statement of differential Maxwell system. Solvability criterion of the latter is proved in terms of equivalence to the general wave equation in the class of non generalized functions.