Mathematical modeling of electromagnetic transmission in flat heterogeneous guided systems

Mathematical simulation of electromagnetic wave propagation in the flat isotropic heterogeneous linear guided systems is considered in the presence of expofunctional influences. Main types of boundary problems are proposed as analytical models of the aforesaid electrodynamic phenomena in excited media. All given statements have different boundary and initial conditions but are based on one and the same general wave equation regarding all unknown scalar components of electromagnetic field vector intensities. In its turn, originally, this wave PDE (partial differential equation) is generated by the specific case of differential Maxwell system. Equivalence of both objects in class of non generalized functions is proved by criterion whose additional solvability conditions allow formulating respective electrodynamic boundary problems correctly.