A Staggered Fourth-Order Accurate Explicit Finite Difference Scheme for the Time-Domain Maxwell's Equations

Document Type

Article

Publication Date

4-10-2001

Abstract

We consider a model explicit fourth-order staggered finite-difference method for the hyperbolic Maxwell's equations. Appropriate fourth-order accurate extrapolation and one-sided difference operators are derived in order to complete the scheme near metal boundaries and dielectric interfaces. An eigenvalue analysis of the overall scheme provides a necessary, but not sufficient, stability condition and indicates long-time stability. Numerical results verify both the stability analysis, and the scheme's fourth-order convergence rate over complex domains that include dielectric interfaces and perfectly conducting surfaces. For a fixed error level, we find the fourth-order scheme is computationally cheaper in comparison to the Yee scheme by more than an order of magnitude. Some open problems encountered in the application of such high-order schemes are also discussed. © 2001 Academic Press.

Identifier

0000522244 (Scopus)

Publication Title

Journal of Computational Physics

External Full Text Location

https://doi.org/10.1006/jcph.2001.6691

ISSN

00219991

First Page

286

Last Page

315

Issue

2

Volume

168

Fund Ref

Air Force Office of Scientific Research

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