On the BEMs with the Müller formulation and the Nyström method for periodic electromagnetic scattering problems

We investigate a boundary element method with Müller´s formulation for dielectric scattering problems in periodic domains. In this method, the iteration number of iterative methods is expected to be small since the operators in Müller´s formulation are essentially identical with the unit operator to within a compact operator. We use the Nyström method for the discretisation so that we do not need to use any basis functions. We make several numerical experiments to see the accuracy and the efficiency of this method.