Summary of image theory expressions for the quasi-static fields of antennas at or above the earth's surface

Abstract

Expressions for the quasi-static range (the measurement distance is much less than a free-space wavelength) field components produced by infinitesimal dipole antennas located at or above that of the earth have been derived by employing finitely conducting earth theory techniques. Formulas for the field components produced by an elevated, finite-length, horizontal electric antenna are also presented. Image theory is employed because most of the resulting integrals encountered cannot be evaluated analytically. The image theory and previously derived analytical (or in some cases, numerical integration) results are in agreement throughout the quasi-static range.