Non-dissipative staggered fourth-order accurate explicit finite difference scheme for the time-domain Maxwell's equations

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Abstract

We consider a divergence-free non-dissipative fourth-order explicit staggered finite difference scheme for the hyperbolic Maxwell's equations. Special one-sided difference operators are derived in order to implement the scheme near metal boundaries and dielectric interfaces. Numerical results show the scheme is longtime stable, and is fourth-order convergent over complex domains that include dielectric interfaces and perfectly conducting surfaces. We also examine the scheme's behavior near metal surfaces that are not aligned with the grid axes, and compare its accuracy to that obtained by the Yee scheme.

Original languageEnglish (US)
Title of host publicationAnnual Review of Progress in Applied Computational Electromagnetics
PublisherApplied Computational Electromagnetics Soc
Pages906-916
Number of pages11
Volume2
StatePublished - Jan 1 2000
Event16th Annual Review of Progress in Applied Computational Electromagnetics (ACES 2000) - Monterey, CA, USA
Duration: Mar 20 2000Mar 24 2000

Other

Other16th Annual Review of Progress in Applied Computational Electromagnetics (ACES 2000)
CityMonterey, CA, USA
Period3/20/003/24/00

All Science Journal Classification (ASJC) codes

  • Electrical and Electronic Engineering

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  • Cite this

    Yefet, A., & Petropoulos, P. (2000). Non-dissipative staggered fourth-order accurate explicit finite difference scheme for the time-domain Maxwell's equations. In Annual Review of Progress in Applied Computational Electromagnetics (Vol. 2, pp. 906-916). Applied Computational Electromagnetics Soc.