Title :
Analysis and mathematical modeling of electromagnetic wave propagation in heterogeneous lines
Author :
Dmitrieva, I.Yu.
Author_Institution :
Higher Math. Dept., Odessa Nat. Acad. of Telecommun. (ONAT), Odessa, Ukraine
Abstract :
Theoretical statement of electrodynamic engineering process is determined by the specific differential Maxwell system in the case of isotropic heterogeneous lines under expofunctional influences. The proven solvability criterion in the class of non generalized functions shows equivalence of such Maxwell system to the general wave PDE (partial differential equation) regarding all unknown electromagnetic field intensities. Basing on this equation, two types of respective boundary problems are formulated and solved uniformly. Those problems statement and explicit solution give mathematical simulation and effective analysis of electromagnetic wave propagation in various heterogeneous isotropic lines during arbitrary large time intervals.
Keywords :
Maxwell equations; electromagnetic fields; electromagnetic wave propagation; partial differential equations; differential Maxwell system; electrodynamic engineering process; electromagnetic field intensities; electromagnetic wave propagation; expofunctional influences; general wave partial differential equation; heterogeneous isotropic lines; isotropic heterogeneous lines; mathematical modeling; nongeneralized functions; Conferences; Electrodynamics; Electromagnetic fields; Electromagnetic propagation; Mathematical model; Nanotechnology; Transforms; analytical simulation; boundary problems; explicit solution; general wave equation; specific differential Maxwell system;
Conference_Titel :
Electronics and Nanotechnology (ELNANO), 2015 IEEE 35th International Conference on
Conference_Location :
Kiev
DOI :
10.1109/ELNANO.2015.7146947
