Abstract

A consistent physicomathematical model of the propagation of an electromagnetic wave in a heterogeneous medium has been constructed with the use of the generalized wave equation and Dirichlet theorem. Twelve conditions at the interfaces between adjoining media were obtained and substantiated without using, in an explicit form, the surface charge and surface current. The conditions are fulfilled automatically in each section of the heterogeneous medium and are conjugate, thus making it possible to use schemes of through counting for calculations. The effect of the concentration of "medium-frequency" waves with length of the order of hundreds of meters at the fractures and wedges of domains of size 1-3 μm has been established for the first time.

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