Analytical study of electromagnetic wave propagation in the finite homogeneous lines

Abstract

Suggested results represent the particular part of the general scientific tendency dealing with mathematical modeling and analytical study of electromagnetic field phenomena described by the systems of PDEs (partial differential equations). Specific electrodynamic engineering process is given by the differential Maxwell system whose effective research implies correct theoretical and physical statement in terms of the general wave PDE regarding all field intensities. Basing on this equation, the corresponding boundary problem determines electromagnetic wave propagation in the isotropic homogeneous finite lines under expofunctional excitations and arbitrary large time intervals. Explicit solution of the aforesaid problem is found using inverse matrix operator construction and the integral transform method. Solvability criterion is also proved, supporting correctness of the physical / engineering conditions and mathematical computing technique. Proposed analytic approach represents part of the general investigating electromagnetic field behavior for arbitrary media in detail.