Abstract
A consistent physical and mathematical model of propagation of electromagnetic waves in layered media, in which the induced surface charge is not explicitly taken into account, has been constructed on the basis of Maxwell equations, the total-current continuum equation, and the Dirichlet theorem. A numerical method of through counting for solving the system of equations defining layered media has been developed and substantiated. Examples of numerical simulation of the propagation of an electromagnetic wave in a two-dimensional cellular structure and the propagation of a modulated signal in a one-dimensional layered medium on condition that the current flows at the interfaces between the adjacent media are dependent are presented.
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