Sparse-matrix canonical grid (SMCG) method for dense medium scattering

In this paper, the sparse matrix canonical grid (SMCG) method is applied to study electromagnetic scattering from a dense medium. This dense medium may either be randomly distributed two-dimensional infinite dielectric cylinders or three-dimensional dielectric particles. For arbitrarily shaped 2D or 3D dielectric scatterers, it is more convenient to adopt a volumetric integral equation formulation with the scatterers divided into squares or cubes of a uniform size so that free-space Green's functions can be used. Instead of using the addition theorem for the indirect far-interaction calculations, we employ the Taylor series expansion, the same procedure as adopted in the SMCG method applied to rough surface scattering.