Results

**1 - 1**of**1**### High Order Accurate Modeling of Electromagnetic Wave Propagation across Media- Grid Conforming Bodies

"... The Maxwell equations contain a dielectric permittivity ε that describes the particular me-dia. For homogeneous materials at low temperatures this coefficient is constant within a material. However, it jumps at the interface between different media. This discontinuity can significantly reduce the or ..."

Abstract
- Add to MetaCart

(Show Context)
The Maxwell equations contain a dielectric permittivity ε that describes the particular me-dia. For homogeneous materials at low temperatures this coefficient is constant within a material. However, it jumps at the interface between different media. This discontinuity can significantly reduce the order of accuracy of the numerical scheme. We solve the Maxwell equations, with an interface between two media, using a fourth order accurate algorithm. We regularize the discontinuous dielectric permittivity by a continuous function either lo-cally, near the interface, or globally, in the entire domain. We study the effect of this regu-larization on the order of accuracy for a one dimensional time dependent problem. We then implement this for the three-dimensional Maxwell equations in spherical coordinates with appropriate physical and artificial absorbing boundary conditions. We use Fourier filtering of the high frequency modes near the poles to increase the time-step. Key words: CEM, FDTD, discontinuous coefficients, high-order methods 1