Convergence of the finite element method as applied to electromagnetic scattering problems in the presence of inhomogeneous media

Approximate radiation boundary conditions (BCs) make partial-differential-equation-based methods attractive for the solution of electromagnetic scattering problems, especially for geometrically complex inhomogenous targets. These BCs allow for an exterior boundary value problem (BVP) to be approximated by an interior BVP. The use of the second-order Bayliss-Turkel BC for two-dimensional inhomogeneous targets is considered. In numerical experiments the rate of convergence with respect to mesh size previously predicted continues to hold.