Green’s function and lattice sums for electromagnetic scattering by a square array of cylinders

Abstract

A method is given to represent in terms of absolutely convergent series the lattice sums involved in solving problems of electromagnetic diffraction by two-dimensional periodic arrays of obstacles. The expressions of the lattice sums are used to express the Green's function of the problem as a Neumann series. These results lead to very efficient algorithms for numerical calculations of the Green's function.