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

A. Yefet; Peter Petropoulos

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

Mathematical Sciences

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

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 language	English (US)
Title of host publication	Annual Review of Progress in Applied Computational Electromagnetics
Publisher	Applied Computational Electromagnetics Soc
Pages	906-916
Number of pages	11
Volume	2
State	Published - Jan 1 2000
Event	16th Annual Review of Progress in Applied Computational Electromagnetics (ACES 2000) - Monterey, CA, USA Duration: Mar 20 2000 → Mar 24 2000

Other

Other	16th Annual Review of Progress in Applied Computational Electromagnetics (ACES 2000)
City	Monterey, CA, USA
Period	3/20/00 → 3/24/00

All Science Journal Classification (ASJC) codes

Electrical and Electronic Engineering

Cite this

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

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.",

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note = "16th Annual Review of Progress in Applied Computational Electromagnetics (ACES 2000) ; Conference date: 20-03-2000 Through 24-03-2000",

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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, Applied Computational Electromagnetics Soc, pp. 906-916, 16th Annual Review of Progress in Applied Computational Electromagnetics (ACES 2000), Monterey, CA, USA, 3/20/00.

Non-dissipative staggered fourth-order accurate explicit finite difference scheme for the time-domain Maxwell's equations. / Yefet, A.; Petropoulos, Peter.
Annual Review of Progress in Applied Computational Electromagnetics. Vol. 2 Applied Computational Electromagnetics Soc, 2000. p. 906-916.

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

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T1 - Non-dissipative staggered fourth-order accurate explicit finite difference scheme for the time-domain Maxwell's equations

AU - Yefet, A.

AU - Petropoulos, Peter

PY - 2000/1/1

Y1 - 2000/1/1

N2 - 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.

AB - 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.

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BT - Annual Review of Progress in Applied Computational Electromagnetics

PB - Applied Computational Electromagnetics Soc

T2 - 16th Annual Review of Progress in Applied Computational Electromagnetics (ACES 2000)

Y2 - 20 March 2000 through 24 March 2000

ER -

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

Abstract

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All Science Journal Classification (ASJC) codes

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