The phase velocity error and stability condition of the three-dimensional nonstandard FDTD method

The nonstandard finite-difference time-domain (NS-FDTD) method, using a rectangular parallelepipeds structured grid, has been proposed to overcome the dispersion and anisotropic errors of the FDTD method. However, the numerical dispersion and the stability condition have not been examined. Furthermo...

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Bibliographic Details
Published in:IEEE transactions on magnetics 2002-03, Vol.38 (2), p.661-664
Main Authors: Kashiwa, T., Kudo, H., Sendo, Y., Ohtani, T., Kanai, Y.
Format: Article
Language:English
Subjects:
Anisotropic magnetoresistance
Applied classical electromagnetism
Dispersions
Electromagnetic propagation
Electromagnetic scattering
Electromagnetic wave propagation, radiowave propagation
Electromagnetism
electron and ion optics
Errors
Exact sciences and technology
Finite difference method
Finite difference methods
Finite difference time domain method
Fundamental areas of phenomenology (including applications)
Laplace equations
Magnetism
Mathematical analysis
Mathematical models
Optical computing
Optical propagation
Physics
Stability
Three dimensional
Time domain analysis
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Summary:The nonstandard finite-difference time-domain (NS-FDTD) method, using a rectangular parallelepipeds structured grid, has been proposed to overcome the dispersion and anisotropic errors of the FDTD method. However, the numerical dispersion and the stability condition have not been examined. Furthermore, the method has been defined only in the isotropic grids. This paper investigates the numerical dispersion and the stability condition of the three-dimensional NS-FDTD method for isotropic and nonisotropic grids. The method is compared with the FDTD method. As a result, this method demonstrates highly accurate characteristics and high Courant stability condition.
ISSN:0018-9464
1941-0069
DOI:10.1109/20.996172