A Discontinuous Galerkin Surface Integral Equation Method for Scattering From Multiscale Homogeneous Objects

Abstract

A discontinuous Galerkin (DG) surface integral equation approach is proposed for scattering from homogeneous dielectric objects. The formulation of DG for homogeneous bodies is derived from the combined tangential field integral equation. The differences of DG for penetrable and nonpenetrable objects are presented by numerical experiments to demonstrate the numerical mechanism of DG. Numerical experiments demonstrate the great advantages of our presented formulation of DG for homogeneous objects in efficiency, flexibility, and scalability. A series numerical results are presented to show the capability of the presented DG solution for homogeneous bodies, especially for multiscale homogeneous bodies.