Title :
Mathematical modeling of electromagnetic transmission in flat heterogeneous guided systems
Author_Institution :
Higher Math. Dept., Odessa Nat. Acad. of Telecommun. (ONAT), Odessa, Ukraine
Abstract :
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.
Keywords :
Maxwell equations; boundary-value problems; electromagnetic wave propagation; partial differential equations; PDE; differential Maxwell system; electrodynamic boundary problems; electrodynamic phenomena; electromagnetic field vector intensities; electromagnetic transmission; electromagnetic wave propagation; flat heterogeneous guided systems; general wave equation; linear guided systems; mathematical modeling; mathematical simulation; partial differential equation; Electrodynamics; Electromagnetic fields; Electromagnetic scattering; Kernel; Mathematical model; Media;
Conference_Titel :
Signals, Circuits and Systems (ISSCS), 2015 International Symposium on
Print_ISBN :
978-1-4673-7487-3
DOI :
10.1109/ISSCS.2015.7203964