Magnetic Fields of a Horizontal Electric Dipole in a Semi-Infinite Medium

Abstract : Various formulae for magnetic fields of horizontal electric dipoles in a semi-infinite medium have been derived. In the interest of providing the ability to evaluate the magnetic field strength interactively at on-site field locations, reduced expressions, which are valid in the quasi-static range, for the magnetic field were used in developing computer generated plots. Existing expressions were used to plot the field strength for AC and point DC dipoles with the receiver either in the medium or above the medium. In order to plot the special case of a finite length DC dipole with the receiver above the medium, the reduced expressions had to be derived. These new expressions, in addition to agreeing with Kraichman's point dipole expressions which are valid at a distance, also are valid with the receiver directly above the source.