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.