Unconditionally stable FETD method using Laguerre polynomials for eigenvalue problems

Author

He, Guoqiang ; Shao, Wei ; Ma, Xiaoliang

Author_Institution

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

fYear

2012

fDate

19-20 April 2012

Firstpage

1

Lastpage

4

Abstract

This paper presents an unconditionally stable finite-element time-domain (FETD) scheme to solve time-dependent vector wave equations for eigenvalue problems. With the weighted Laguerre polynomials as basis functions and Galerkin´s testing procedure, the temporal derivative in the vector wave equation can be handled analytically. Combined with the discrete Fourier transform (DFT), the Laguerre-FETD method is applied to the solution of eigenvalue problems. The numerical example of a circle dielectric-loaded waveguide shows its advantages of accuracy and efficiency.

Keywords

Galerkin method; circular waveguides; dielectric-loaded waveguides; discrete Fourier transforms; eigenvalues and eigenfunctions; finite element analysis; polynomial approximation; time-domain analysis; wave equations; DFT; Galerkin testing procedure; Laguerre-FETD method; circle dielectric-loaded waveguide; discrete Fourier transform; eigenvalue problem; temporal derivative; time-dependent vector wave equation; unconditionally stable FETD method; unconditionally stable finite-element time-domain scheme; weighted Laguerre polynomials; Cutoff frequency; Eigenvalues and eigenfunctions; Electromagnetic waveguides; Finite element methods; Polynomials; Time domain analysis; Vectors; DFT; Eigenvalue; Laguerre-FETD; dielectric-loaded circle waveguide;

fLanguage

English

Publisher

ieee

Conference_Titel

Microwave and Millimeter Wave Circuits and System Technology (MMWCST), 2012 International Workshop on

Conference_Location

Chengdu

Print_ISBN

978-1-4673-1893-8

Type

conf

DOI

10.1109/MMWCST.2012.6238176

Filename

6238176