Quasi-stationary approximation of electromagnetic energy spreading in a locally inhomogeneous conductive halfspace

Abstract

The quasi-stationary approximation of the process of electromagnetic energy spreading in a halfspace is considered. Conductivity of the medium is a continuous function which is constant everywhere excepting for a finite domain of arbitrary shape. Using the fundamental solution of non-stationary diffusion equation, the projection method and the time marching scheme of the sole initial condition, we construct the system of integral correlations to find the components of electric field strength vector in an arbitrary halfspace point in any moment of time through its components in an inhomogeneity domain.