A new FDTD algorithm based on alternating-direction implicit method

Author

Namiki, Takefumi

Author_Institution

Comput. Sci. & Eng. Center, Fujitsu Labs. Ltd., Chiba, Japan

Volume

47

Issue

10

fYear

1999

fDate

10/1/1999 12:00:00 AM

Firstpage

2003

Lastpage

2007

Abstract

In this paper, a new finite-difference time-domain (FDTD) algorithm is proposed in order to eliminate the Courant-Friedrich-Levy (CFL) condition restraint. The new algorithm is based on an alternating-direction implicit method. It is shown that the new algorithm is quite stable both analytically and numerically even when the CFL condition is not satisfied. Therefore, if the minimum cell size in the computational domain is required to be much smaller than the wavelength, this new algorithm is more efficient than conventional FDTD schemes in terms of computer resources such as central-processing-unit time. Numerical formulations are presented and simulation results are compared to those using the conventional FDTD method

Keywords

Maxwell equations; electromagnetic fields; electromagnetic wave propagation; finite difference time-domain analysis; CFL condition; Courant-Friedrich-Levy condition restraint; FDTD algorithm; alternating-direction implicit method; cell size; central-processing-unit time; computational domain; Algorithm design and analysis; Computational modeling; Finite difference methods; Maxwell equations; Multidimensional systems; Numerical simulation; Numerical stability; Tellurium; Time domain analysis; Two dimensional displays;

fLanguage

English

Journal_Title

Microwave Theory and Techniques, IEEE Transactions on

Publisher

ieee

ISSN

0018-9480

Type

jour

DOI

10.1109/22.795075

Filename

795075