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Nonreflecting Boundary Conditions For Electromagnetic Scattering

by M. J. Grote

(Report number 1998-09)

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

@Techreport{G98_234,
  author = {M. J. Grote},
  title = {Nonreflecting Boundary Conditions For Electromagnetic Scattering},
  institution = {Seminar for Applied Mathematics, ETH Z{\"u}rich},
  number = {1998-09},
  address = {Switzerland},
  url = {https://www.sam.math.ethz.ch/sam_reports/reports_final/reports1998/1998-09.pdf },
  year = {1998}
}

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