A boundary integral equation method for the calculation of the effective permittivity of periodic composites

We present a numerical method based upon the resolution of boundary integral equations for the calculation of the effective permittivity of a lossless composite structure consisting of a two component mixture, each with its own dielectric and shape characteristics. The topological arrangements considered are periodic lattices of inhomogeneities. Our numerical simulations are compared to the effective medium approach and with results of previous works.