Exact image theory for the Sommerfeld halfspace problem with a vertical electric dipole
Abstract
The exact image theory, for the Sommerfeld problem with a vertical magnetic dipole above a planar interface of two dielectric media, was extended to the more complicated problem of a vertical electric dipole. The image source is a line current, which lies in complex space for best convergence. The image current function is expressed as an integral expression, easily adapted for numerical calculations and its form is dependent on the dielectric factor ratio of the two half spaces. Series expansions are given for an easy calculation of the image current. The reflection coefficient method and Sommerfeld surface wave expressions are obtained as limit cases of the exact image theory. The method is tested for a large grid of field points.
 Publication:

NASA STI/Recon Technical Report N
 Pub Date:
 1983
 Bibcode:
 1983STIN...8424926L
 Keywords:

 Electric Dipoles;
 Imaging Techniques;
 Sommerfeld Approximation;
 Surface Waves;
 Vertical Orientation;
 Antenna Radiation Patterns;
 Dielectric Properties;
 Magnetic Dipoles;
 Numerical Analysis;
 Sommerfeld Waves;
 Communications and Radar