Localized Green's functions for a twodimentional periodic material

Abstract

We describe a method for the calculation of Green's functions for an array of dielectric cylinders. The method is to first construct quasi-periodic Green's functions, with Bloch vector kB. This function also obeys the appropriate electromagnetic boundary conditions on the surface of each cylinder. The Green's function for a single source in the array can then be calculated by averaging the quasi-periodic result over the Brillouin zone.