Numerical Dispersion Analysis and Key Parameter Selection in Laguerre-FDTD Method

Author

Wei-Jun Chen ; Wei Shao ; Jia-Lin Li ; Bing-Zhong Wang

Author_Institution

Sch. of Phys. Electron., Univ. of Electron. Sci. & Technol. of China, Chengdu, China

Volume

23

Issue

12

fYear

2013

fDate

Dec. 2013

Firstpage

629

Lastpage

631

Abstract

In this letter, a theoretical analysis of the numerical dispersion and key parameter selection of the finite-difference time-domain (FDTD) method with weighted Laguerre polynomials is presented. Different from the conventional FDTD method, the numerical dispersion relation is relevant not only to sampling point density in space domain but also to time-scale factor. For a fixed relative error of phase velocity, the suitable sampling point density and time-scale factor can be determined. In addition, the selection of the number of Laguerre functions is derived using the theoretical time-scale factor, and is verified in a numerical example.

Keywords

finite difference time-domain analysis; Laguerre functions; Laguerre-FDTD method; finite-difference time-domain method; fixed relative error; key parameter selection; numerical dispersion analysis; numerical dispersion relation; phase velocity; sampling point density; space domain; theoretical analysis; theoretical time-scale factor; time-scale factor; weighted Laguerre polynomials; Dispersion; Finite difference methods; Microwave theory and techniques; Time-domain analysis; Transient analysis; Wireless communication; Laguerre functions; numerical dispersion analysis; time-scale factor;

fLanguage

English

Journal_Title

Microwave and Wireless Components Letters, IEEE

Publisher

ieee

ISSN

1531-1309

Type

jour

DOI

10.1109/LMWC.2013.2283866

Filename

6624127