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Non-reflecting boundary conditions for electromagnetic scattering. (English) Zbl 1090.78514

Summary: An exact non-reflecting boundary condition was derived previously for use with the time-dependent Maxwell equations in three space dimensions. 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.

MSC:

78A45 Diffraction, scattering
78M10 Finite element, Galerkin and related methods applied to problems in optics and electromagnetic theory
78M20 Finite difference methods applied to problems in optics and electromagnetic theory
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