Rapid analysis of perfectly conducting and penetrable quasi-planar structures with the steepest descent fast multipole method

Abstract

The applicability of the steepest descent fast multipole method (SDFMM) to the analysis of scattering and radiation from a large class of quasi-planar structures, including rough surfaces, gratings, and microstrip antennas, is demonstrated in this paper. The SDFMM was first devised for the fast solution of scattering from perfectly conducting rough surfaces. Here, the technique is extended and applied to the analysis of scattering and radiation from arbitrarily shaped, multi-region penetrable and perfectly conducting quasi-planar structures. This technique promises to open the door to accurate full-wave electromagnetic analysis of much larger and more complex problems than is possible with prevailing techniques.