Second order finite volume scheme on structured meshes for Maxwell´s equations with discontinuous dielectric permittivity

A second order finite volume scheme on structured meshes is presented for numerical solution of Maxwell´s equations with discontinuous dielectric permittivity. The scheme is based on approaches of Godunov, Van Leer, Lax Wendroff and employs a technique for gradient calculation and two alternative techniques for gradient limitation near dielectric permittivity discontinuity. Scheme was tested for problems with linear and curvilinear discontinuities. Test results support second order of approximation in space and time.