SCATTERING AND COUPLING EFFECTS OF ELECTROMAGNETIC-WAVES IN 3D NETWORKS OF SPHERES

In this paper, the problem of electromagnetic scattering from a 3D sys tem of spheres is considered and an iterative solution that accounts f or multiple scattering is proposed. The Mie formalism used for a singl e sphere is extended to account for multiple scattered fields between several particles. The translational addition theorems for spherical w ave functions are used to express the electromagnetic field scattered by a sphere S-i in terms of an incident field for a sphere S-k in a sp herical coordinates system attached to the sphere S-k. In this work, t he numerical convergence of the method is discussed and associated com putational times are given. Numerical computations including Radar Cro ss Section (RCS) and radiation patterns for various 3D configurations are presented. Some of them are compared with free-space measurements made in the 8 to 100 GHz frequency band using vectorial network analyz ers.