Vertical polarization dependence of transient signals above a dielectric layer

Abstract

The duct model given by Kahan and Eckart [<i>Ann Phys</i> (<i>France</i>), 5 (1950) 641] has been used for the vertical polarization treatment of the signals. A vertical electric dipole, above the surface layer, is taken as the source of electromagnetic field. The polarization of the primary source, whose moment varies arbitrarily in time, is chosen in such a way that it allows the exact determination of the electric field strength at some fixed point above the duct layer. Two integral transforms, a Laplace transform in time a two-dimensional Fourier transform in the horizontal coordinates in space are applied to the wave equation for the Hertz vector. This leads to an integral representation of the solution of the wave equation in transform space.