Table of Contents
Physics Research International
Volume 2012 (2012), Article ID 185647, 28 pages
Research Article

Fundamental Problems of the Electrodynamics of Heterogeneous Media

A.V. Luikov Heat and Mass Transfer Institute of the National Academy of Sciences of Belarus, Minsk, Belarus 15, P. Brovka Str., 2200072, Belarus

Received 28 July 2011; Accepted 26 October 2011

Academic Editor: Vladimir Shavrov

Copyright © 2012 N. N. Grinchik and Yu. N. Grinchik. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


The consistent physic-mathematical model of propagation of an electromagnetic wave in a heterogeneous medium is constructed using the generalized wave equation and the Dirichlet theorem. Twelve conditions at the interfaces of adjacent media are obtained and justified without using a surface charge and surface current in explicit form. The conditions are fulfilled automatically in each section of counting schemes for calculations. A consistent physicomathematical model of interaction of nonstationaly electric and thermal fields in a layered medium with allowance or mass transfer is constructed. The model is based on the methods of thermodynamics and on the equations of an electromagnetic field and is formulated without explicit separation of the charge carriers and the charge of an electric double layer.