2002•Unpublished venueOpen access

Challenges for computational electromagnetics in the time domain

J. S. Shang

Abstract

Progress in solving the three-dimensional Maxwell equations in the time domain has opened a new frontier in electromagnetics. The author discusses the semi-discrete dispersive error of several well-known differencing schemes and a bidiagonal compact differencing scheme. The numerical results are obtained by solving the one-dimensional model wave equation. Initial conditions and boundary conditions in numerical simulations are also discussed as are scattering problems.

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Key concepts: Electromagnetics, Scattering-matrix method, Computational electromagnetics, Maxwell's equations, Boundary value problem, Computer science, Domain (mathematical analysis), Scheme (mathematics)