The simulation of electromagnetic scattering in piecewise homogeneous media using unstructured grids

This paper presents a method for simulating, in the time domain, the scatte ring of electromagnetic waves in piecewise homogeneous media. The method em ploys an explicit Taylor-Galerkin approach, implemented on a general unstru ctured triangular grid, with the electric and magnetic fields approximated in a continuous piecewise linear fashion. All boundary and material interfa ce conditions are weakly applied in an integral form, following a character istic decomposition of the solution. A number of simple examples, for which exact scattering width distributions are available, are included to demons trate the numerical performance of the proposed procedure.