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

fYear

2015

fDate

21-24 April 2015

Firstpage

543

Lastpage

546

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;

fLanguage

English

Publisher

ieee

Conference_Titel

Electronics and Nanotechnology (ELNANO), 2015 IEEE 35th International Conference on

Conference_Location

Kiev

Type

conf

DOI

10.1109/ELNANO.2015.7146947

Filename

7146947