Surface integral equation based discontinuous Galerkin method for impedance surface objects

This paper investigates the discontinuous Galerkin method based on surface integral equations for the simulation of the electromagnetic scattering problem from objects with impedance boundary condition (IBC). The new surface integral equation is formulated by a proper dual paring to form a reaction integral, which is able to easily simulate scattering from objects with different IBCs even from the perfect electric conductors (PEC) and the perfect magnetic conductors (PMC). Due to the discontinuous Galerkin scheme, it is possible to employ non-conformal surface discretization of the objects. In addition, the multilevel fast multipole algorithm (MLFMA) is implemented to reduce the computational complexity. Numerical examples are presented to demonstrate the performance of the proposed formulations.