Analysis of spatial high-order finite difference methods for Maxwell's equations in dispersive media (Q2902197)
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scientific article; zbMATH DE number 6067209
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Analysis of spatial high-order finite difference methods for Maxwell's equations in dispersive media |
scientific article; zbMATH DE number 6067209 |
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Analysis of spatial high-order finite difference methods for Maxwell's equations in dispersive media (English)
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17 August 2012
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Maxwell's equations
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Debye polarization model
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Lorentz polarization model
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higher-order finite-difference time-domain (FDTD)
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stability
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dispersion
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0.9388144
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0.92994744
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0.92148864
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0.91087854
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0.90694547
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0.90417165
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0.90349966
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The authors present staggered finite difference schemes of arbitrary even order in space and second order in time for Maxwell's equations coupled with a Debye or Lorentz polarization model. The stability analysis for the schemes is rigorously carried out, and the authors use the symbol of finite difference approximations, which allows them to derive a concise formula for the numerical dispersion relation and closed-form stability condition as well. They perform numerical experiments to validate their theories on the choice of the physical parameters, and the numerical results vividly show the influence of the discretization order and the stability constraint on the dispersion error.
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