A total inverse scattering operator formulation for solving large structures with LEGO

We propose a methodology - based on linear embedding via Green´s operators (LEGO) and the eigencurrent expansion method - for solving large 3-D structures comprised of N_D Gt 1 objects. The problem is formulated through an integral equation involving the total inverse scattering operator S^-1 of the structure. Upon analyzing an electromagnetic band-gap open cavity, as an example of application, we show that hundreds of thousands of unknowns can be effortlessly handled and that the CPU times scale just linearly with N_D.