Scattering from a random distribution of numerous bodies with linear embedding via Green's operators

We discuss the application of linear embedding via Green's operators (LEGO) to the solution of the scattering of electromagnetic waves from random distributions of different objects. The latter are enclosed in simple-shaped bricks described via scattering operators that have to be computed only once for a given frequency. Therefore, the study of many distributions made of the very same objects but located in different positions can be efficiently carried out by re-using the scattering operators. Besides, the equation of LEGO is solved via the Moment Methods combined with Arnoldi basis functions — which allows the corresponding algebraic system to be effectively compressed. We investigate the properties of LEGO through a few numerical examples.