Exact image theory for the Sommerfeld halfspace problem. III  General formulation
Abstract
The general Sommerfeld problem with both epsilon and mu discontinuous and a source consisting of arbitrarily oriented electric and/or magnetic dipoles at the same location is considered in terms of image theory. The problem is formulated with electric and magnetic fields instead of potential quantities resulting in a vector transmissionline interpretation of the Fourier transformed problem. The image sources are seen to be located in complex space expressible in terms of a certain basic image current function. The horizontal electricmagnetic dipole image is solved and found to consist of both vertical and horizontal current components. The image concept is generalized to the most general threedimensional sources. As a check, the wellknown reflection coefficient method is obtained as the farfield approximation of the present theory.
 Publication:

IEEE Transactions on Antennas and Propagation
 Pub Date:
 October 1984
 DOI:
 10.1109/TAP.1984.1143204
 Bibcode:
 1984ITAP...32.1027L
 Keywords:

 Dipole Antennas;
 Electromagnetic Fields;
 Field Theory (Physics);
 Ground Effect (Communications);
 Half Spaces;
 Sommerfeld Waves;
 Electric Dipoles;
 Far Fields;
 Fourier Transformation;
 Magnetic Dipoles;
 Communications and Radar