Linear embedding via Green´s operators for 3-D scattering from piecewise homogeneous bodies

We tackle the scattering from a finite dielectric host medium containing a regular arrangement of (metallic or penetrable) inclusions by using the linear embedding via Green´s operators method. After “dicing” the structure into “bricks”, we state an integral equation which we turn into a weak form via the Method of Moments (MoM) with subdomain basis functions. Then, to proceed i) we compress the off-diagonal blocks of the MoM matrix via adaptive cross approximation, and ii) we reduce the size of the whole MoM matrix by expanding the unknown on a set of orthonormal basis functions generated through the Arnoldi iteration. We elaborate on the properties of this approach through a few numerical examples.