Transient response of a vertical electric dipole above a two-layer medium

摘要

The paper presents a method which allows the calculation of the atmospheric distortion of radar pulses, provided that the influence of the atmosphere is to transfer the transmitted signal through a duct. The study thus deals with the investigation of the pulses signal from a vertical electric dipole above an evaporation duct. Two integral transforms of the wave equation of Hertzian vector––a Laplace transform in time and a two dimensional Fourier transform in the horizontal coordinates in space––are applied. This leads to an integral representation of the solution of the wave equation in transform space, considering initial, boundary and transition conditions. This integral representation determines the electromagnetic field anywhere in the ionosphere. Saddle-point and residue methods are used to compute the integral.