Report 1998-09

Nonreflecting Boundary Conditions For Electromagnetic Scattering

M.J. Grote

Abstract: An exact nonreflecting boundary condition was derived previously for use with the time dependent Maxwell equations in three space dimensions$^1$. Here it is shown how to combine that boundary condition with the variational formulation for use with the finite element method. The fundamental theory underlying the derivation of the exact boundary condition is reviewed. Numerical examples with the finite-difference time-domain method are presented which demonstrate the high accuracy and confirm the expected rate of convergence of the numerical method.

Keywords: Maxwell's equations, electromagnetic scattering, nonreflecting boundary conditions, absorbing boundary conditions, finite elementmethod, finite difference method

Paper: Available as PDF (405 KB) or as hardcopy to order reports@sam.math.ethz.ch.

Publishing information: Internat. J. of Num. Modelling