Title :
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
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;
Journal_Title :
Microwave and Wireless Components Letters, IEEE
DOI :
10.1109/LMWC.2013.2283866
