An Electromagnetic Ping-Pong Algorithm forPlanar Reflector Antennas of Arbitrary Shapes

Abstract

An efficient Ping-Pong algorithm is presented to deal with electromagnetic scattering from planar reflector antennas of arbitrary geometric shapes. The proposed Computational Electromagnetics (CEM) algorithm does not require formation, storage and inverse of the impedance matrix used by the Method of Moments (MoM). Instead, a rigorous formula is obtained for computation of the surface current from the scattering electric field. Besides, the algorithm only contains convolution operations with the scalar Green’s function and second derivatives operations to iteratively update the surface currents and scattering electric field. Also, hypersingular integration arising from the singularities of the surface current and scattering electric field is properly regularized. Furthermore, the algorithm converges fast and satisfactory results are obtained after a few iterations. Besides, the first iteration gives the solution for reflector antennas on perfect absorption substrates. Numerical solutions are obtained for some typical antennas and comparisons are made to those in the literature and from the MoM.