Stability of FDTD on nonuniform grids for Maxwell's equations in lossless media

RF Remis

doi:doi:10.1016/j.jcp.2006.02.022

Stability of FDTD on nonuniform grids for Maxwell's equations in lossless media

RF Remis

Research output: Contribution to journal › Article › Scientific › peer-review

9 Citations (Scopus)

Abstract

In this paper we present practical stability conditions for the finite-difference time-domain method on nonuniform tensor product grids (Yee grids). These stability conditions apply to Maxwell's equations for inhomogeneous and lossless media. Rectangular domains are considered and the conditions are expressed in terms of the minimum spatial stepsizes of the grid and the maximum electromagnetic wave speed in the configuration. The maximum wave speed is known as soon as the media are specified, while the minimum spatial stepsizes are known after the configuration has been discretized. For two-dimensional configurations we present a number of numerical examples which illustrate the effectiveness of the proposed stability conditions.

Original language	Undefined/Unknown
Pages (from-to)	594-606
Number of pages	13
Journal	Journal of Computational Physics
DOIs	https://doi.org/doi:10.1016/j.jcp.2006.02.022
Publication status	Published - 2006

Keywords

academic journal papers
CWTS 0.75 <= JFIS < 2.00

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doi:10.1016/j.jcp.2006.02.022

Cite this

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title = "Stability of FDTD on nonuniform grids for Maxwell's equations in lossless media",

abstract = "In this paper we present practical stability conditions for the finite-difference time-domain method on nonuniform tensor product grids (Yee grids). These stability conditions apply to Maxwell's equations for inhomogeneous and lossless media. Rectangular domains are considered and the conditions are expressed in terms of the minimum spatial stepsizes of the grid and the maximum electromagnetic wave speed in the configuration. The maximum wave speed is known as soon as the media are specified, while the minimum spatial stepsizes are known after the configuration has been discretized. For two-dimensional configurations we present a number of numerical examples which illustrate the effectiveness of the proposed stability conditions.",

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T1 - Stability of FDTD on nonuniform grids for Maxwell's equations in lossless media

AU - Remis, RF

PY - 2006

Y1 - 2006

N2 - In this paper we present practical stability conditions for the finite-difference time-domain method on nonuniform tensor product grids (Yee grids). These stability conditions apply to Maxwell's equations for inhomogeneous and lossless media. Rectangular domains are considered and the conditions are expressed in terms of the minimum spatial stepsizes of the grid and the maximum electromagnetic wave speed in the configuration. The maximum wave speed is known as soon as the media are specified, while the minimum spatial stepsizes are known after the configuration has been discretized. For two-dimensional configurations we present a number of numerical examples which illustrate the effectiveness of the proposed stability conditions.

AB - In this paper we present practical stability conditions for the finite-difference time-domain method on nonuniform tensor product grids (Yee grids). These stability conditions apply to Maxwell's equations for inhomogeneous and lossless media. Rectangular domains are considered and the conditions are expressed in terms of the minimum spatial stepsizes of the grid and the maximum electromagnetic wave speed in the configuration. The maximum wave speed is known as soon as the media are specified, while the minimum spatial stepsizes are known after the configuration has been discretized. For two-dimensional configurations we present a number of numerical examples which illustrate the effectiveness of the proposed stability conditions.

KW - academic journal papers

KW - CWTS 0.75 <= JFIS < 2.00

U2 - doi:10.1016/j.jcp.2006.02.022

DO - doi:10.1016/j.jcp.2006.02.022

M3 - Article

SN - 0021-9991

SP - 594

EP - 606

JO - Journal of Computational Physics

JF - Journal of Computational Physics

ER -