On The Integration of Image Sources in Exact Image Method of Field Analysis

Abstract

The exact image method, recently introduced for the solution of electromagnetic field problems involving sources above a planar interface between two homogeneous media, was originally applied to a restricted pair of medium parameters to obtain a well behaved image located in the proper complex half-space. It is demonstrated here with an example that the proper half-space limitation can be released to increase the applicability of the exact image theory. However, it is shown that for certain media, numerical difficulties in the field integrals may be encountered, due to crossing of branch cut lines on the complex integration plane. This may occur when the medium where the field is to be calculated is more lossy than the other medium. Methods for the image integration to obtain better convergence for more general media, are discussed.