Relationship between Ground Permittivity and the Input Impedance of a Horizontal Dipole Near Ground

摘要

Transmitting antennas located near the earth have a problem with electromagnetic scattering caused by the ground. Researchers suggest that the inverse of this problem may be used to determine the complex permittivity of the ground. That application is the goal of this thesis. The solution of the half-space problem was originally formulated in 1909 by Arnold Sommerfeld. Unfortunately, his formulation was written in terms of a set of integrals that tend to have a slow rate of convergence. Since then, researchers have sought faster methods of computing fields in the presence of an arbitrary infinite half space by making approximations to Sommerfeld's integrals to increase their convergence rate. Others have replaced the ground with an equivalent image current. (RH)