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.