A local description of the directional characteristics of the propagation of electromagnetic fields
Abstract
A method is presented for determining a local measure of the amount of electromagnetic field propagation as a function of direction. This determination is made for the region near a given point by using the known field in the vicinity of that point within a given plane. The method is developed by assuming the parabolic equation approximation. Then the resulting equations are cast in the path integral form. A reformulation of the path integral formulation is then developed. This reformation contains a quantity which is interpreted as a reasonable measure of the amount of field (amplitude) propagating in each direction. The relationship of this method to the planewave expansion technique is noted. The use of the method in two dimensions is illustrated by several numerical calculations. These numerical calculations are shown to be consistent with the predictions of the geometric theory of diffraction.
 Publication:

IEEE Transactions on Antennas and Propagation
 Pub Date:
 August 1988
 DOI:
 10.1109/8.7221
 Bibcode:
 1988ITAP...36.1088C
 Keywords:

 Electromagnetic Fields;
 Geometrical Theory Of Diffraction;
 Propagation Modes;
 Directivity;
 Parabolic Differential Equations;
 Ray Tracing;
 Communications and Radar