By Edited by: Ahmed Kishk

ISBN-10: 9533074450

ISBN-13: 9789533074450

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**Sample text**

The use of the Dirichlet theorem for approximation of the value of the magnetic field strength on the boundaries between adjacent media analogously to that of the electric field strength does not necessarily guarantees the observance of the condition of solenoidality of the magnetic field; furthermore, the magnetic properties of heterogeneous media were assumed constant 42 Electromagnetic Waves Propagation in Complex Matter in deriving generalized wave equations. The experience of numerical calculations has shown that when it is necessary to model nonstationary in magnetic phenomena it is better many cases to use a generalized wave equation for E , accordingly expressing H t , r by E t , r and, if need be, to perform backward recalculation to H t , r .

V. Luikov Heat and Mass Transfer Institute of the National Academy of Science, Minsk, 2 Scientific-Engineering Enterprise “Polimag”, Minsk, 3National Research Nuclear University "MEPhI", Moscow, 4Thermal Physics Institute, Novosibirsk, 5Belarusian State University, Minsk, 1,2,5Republic of Belarus 3,4Russian Federation 1. Introduction Let us consider the interface S between two media having different electrophysical properties. On each of its side the magnetic-field and magnetic-inductance vectors as well as the electric-field and electric-displacement vectors are finite and continuous; however, at the surface S they can experience a discontinuity of the first kind.

3 Results of numerical simulation of the propagation of electromagnetic waves in layered media Let us analyze the propagation of an electromagnetic wave through a layered medium that consists of several layers with different electrophysical properties in the case where an electromagnetic-radiation source is positioned on the upper plane of the medium. It is assumed that the normal component of the electric-field vector Ex = 0 and its tangential component Ey = a sin (ωt), where a is the electromagnetic-wave amplitude (Fig.

### Electromagnetic Waves Propagation in Complex Matter by Edited by: Ahmed Kishk

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