An efficient unconditionally stable three-dimensional LOD-FDTD method

Author

Qi-Feng Liu ; Chen, Zhizhang David ; Yin, Wen-Yan

Author_Institution

Center for Microwave and RF Technologies, School of Electronic Information and Electrical, Engineering, Shanghai Jiao Tong University, 200240, China

fYear

2008

fDate

15-20 June 2008

Firstpage

45

Lastpage

48

Abstract

This paper presents an unconditionally stable three-dimensional (3-D) finite-difference time-method (FDTD) based on the locally one-dimension (LOD-FDTD) scheme. The unconditional stability is proven theoretically and validated numerically. Numerical dispersion of the method is also derived analytically. Through the dispersion analysis and a numerical example, the proposed LOD-FDTD method is found to use less memory and CPU time than the conventional unconditionally stable alternating-direction-implicit (ADI) FDTD and other LOD-FDTD methods but with the same level of numerical accuracy. The saving in CPU time can be more than 55% in comparisons with the ADI-FDTD method and more than 29% in comparisons with a previously reported LOD-FDTD method.

Keywords

finite difference time-domain analysis; numerical stability; alternating-direction-implicit methods; dispersion analysis; finite-difference time-method; locally one-dimension scheme; three-dimensional LOD-FDTD method; unconditional stability; Dispersion; Finite difference methods; Laboratories; Magnetic fields; Maxwell equations; Microwave technology; Microwave theory and techniques; Numerical stability; Radio frequency; Time domain analysis; Courant-Friedrich-Levy (CFL) limit; alternating direction implicit method; finite-different time-domain method; locally one-dimensional scheme; unconditional stability and numerical dispersion;

fLanguage

English

Publisher

ieee

Conference_Titel

Microwave Symposium Digest, 2008 IEEE MTT-S International

Conference_Location

Atlanta, GA

ISSN

0149-645X

Print_ISBN

978-1-4244-1780-3

Electronic_ISBN

0149-645X

Type

conf

DOI

10.1109/MWSYM.2008.4633099

Filename

4633099