A study of arrays of dipoles in a semi-infinite dissipative medium

The radial electric fields of horizontal dipoles in a semi-infinite dissipative medium are studied using the asymptotic expansion of a single dipole. An arrangement similar to an end-fire pattern of two broadside arrays in an infinite medium is used to investigate the possibility of obtaining a directed beam in the desired direction. After some important modifications, motivated by the nature of propagation in the medium, a suitable arrangement is found to give a directed beam.