Formulations of the extended boundary condition method for three-dimensional scattering using the method of discrete sources

Abstract

Abstract Novel formulations of the extended boundary condition method for three-dimensional scattering problems are derived by using a system of magnetic and electric dipoles, a system of ‘Mie potentials’ and a system of lowest-order multipoles as complete systems of functions. The key step in these approaches is to use discrete sources located on auxiliary supports to guarantee the null-field condition for the total electric field and to generate the surface current densities.