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

Author

Kashiwa, T. ; Kudo, H. ; Sendo, Y. ; Ohtani, T. ; Kanai, Y.

Author_Institution

Kitami Inst. of Technol., Japan

Volume

38

Issue

2

fYear

2002

fDate

3/1/2002 12:00:00 AM

Firstpage

661

Lastpage

664

Abstract

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

Keywords

error analysis; finite difference time-domain analysis; numerical stability; Courant stability condition; anisotropic grid; isotropic grid; numerical dispersion; phase velocity error; rectangular parallelepiped; three-dimensional nonstandard finite-difference time-domain method; Anisotropic magnetoresistance; Electromagnetic propagation; Electromagnetic scattering; Finite difference methods; Helium; Laplace equations; Optical computing; Optical propagation; Stability; Time domain analysis;

fLanguage

English

Journal_Title

Magnetics, IEEE Transactions on

Publisher

ieee

ISSN

0018-9464

Type

jour

DOI

10.1109/20.996172

Filename

996172