A Two-Dimensional Nonorthogonal WLP-FDTD Method for Eigenvalue Problems

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

10

fYear

2013

fDate

Oct. 2013

Firstpage

515

Lastpage

517

Abstract

This letter proposes an unconditionally stable finite-difference time-domain (FDTD) method with weighted Laguerre polynomials (WLPs) to solve electromagnetic (EM) problems in a generalized coordinate system. The nonorthogonal WLP-FDTD formulation for the two-dimensional TE mode is presented, and the covariant and contravariant field representations are given. The nonorthogonal mesh is introduced to model the complex region only, while the conventional rectangular mesh is used for the remaining regions. Two numerical examples with curved edges are calculated. Compared with the staircase WLP-FDTD and nonorthogonal FDTD methods, the results from our proposed method show its accuracy and efficiency for solving EM eigenvalue problems.

Keywords

covariance analysis; eigenvalues and eigenfunctions; electromagnetic fields; finite difference time-domain analysis; polynomials; stochastic processes; EM problem; complex region model; contravariant field representation; covariant field representation; curved edge calculation; eigenvalue problem; electromagnetic problem; finite-difference time-domain method; generalized coordinate system; nonorthogonal mesh; rectangular mesh; two-dimensional TE mode; two-dimensional nonorthogonal WLP-FDTD method; weighted Laguerre polynomial; Accuracy; Dielectrics; Eigenvalues and eigenfunctions; Equations; Finite difference methods; Mathematical model; Time-domain analysis; Finite-difference time-domain (FDTD) method; generalized nonorthogonal coordinates; weighted Laguerre polynomials (WLPs);

fLanguage

English

Journal_Title

Microwave and Wireless Components Letters, IEEE

Publisher

ieee

ISSN

1531-1309

Type

jour

DOI

10.1109/LMWC.2013.2278282

Filename

6587835