High-order accurate modeling of electromagnetic wave propagation across media -- grid conforming bodies (Q860270)

The paper is devoted to a fourth-order FDTD scheme for the solution of Maxwell equations with piecewise continuous coefficients. For the one-dimensional time-dependent equation various methods are compared numerically, where the discontinuous coefficient is regularized by continuous coefficients, either locally or globally. These regularizations are applied to three-dimensional Maxwell equations in spherical coordinates with a dielectric interface in the radial direction.