On the image representation of the fields of a line current source above finitely conducting earth

Abstract

The problem of an electric line source above a conducting earth is investigated. Approximations to the integrals appearing in the solution of the problem are considered. An estimate of the neglected terms is given and interpretation of their physical resemblance is presented. The analysis does not restrict the relative magnitudes of earth and air propagation constants as in previous work. It is shown that the approximation presented is legitimate for far field computation and the results are comparable to those known for the quasi-static limit.