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

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Title: Stability of FDTD on nonuniform grids for Maxwell’s equations in lossless media
Authors: Remis, Rob F.1 R.F.Remis@EWI.TUDelft.NL
Source: Journal of Computational Physics. Nov2006, Vol. 218 Issue 2, p594-606. 13p.
Subjects: Magnetic fields, Tensor products, Electromagnetic waves, Electromagnetic fields
Abstract: 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. [Copyright &y& Elsevier]
Copyright of Journal of Computational Physics is the property of Academic Press Inc. and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.)
Database: Engineering Source
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DbLabel: Engineering Source
An: 22594480
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  Data: Stability of FDTD on nonuniform grids for Maxwell’s equations in lossless media
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  Data: 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. [Copyright &y& Elsevier]
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  Data: <i>Copyright of Journal of Computational Physics is the property of Academic Press Inc. and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract.</i> (Copyright applies to all Abstracts.)
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        Value: 10.1016/j.jcp.2006.02.022
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        Text: English
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      – SubjectFull: Electromagnetic waves
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      – TitleFull: Stability of FDTD on nonuniform grids for Maxwell’s equations in lossless media
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              Text: Nov2006
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