The nonorthogonal finite integration technique applied to 2D- and 3D-eigenvalue problems

Author

Schuhmann, Rolf ; Weiland, Thomas

Author_Institution

Fachgebiet Theorie Elektromagnetischer Felder, Darmstadt Univ. of Technol., Germany

Volume

36

Issue

4

fYear

2000

fDate

7/1/2000 12:00:00 AM

Firstpage

897

Lastpage

901

Abstract

Recently we proposed an advanced implementation of the FDTD algorithm on nonorthogonal grids, It was successfully included in the matrix-vector notation of the finite integration technique (FIT), and an interpolation formula was found, which ensures the long-term stability of the time integration. In this paper we propose the application of the nonorthogonal FI-technique (NFIT) to eigenvalue problems in the frequency domain, including both resonator and waveguide problems, Due to some modifications in the formulation of the eigenvalue problems the inversion of the material matrices can be avoided

Keywords

Maxwell equations; eigenvalues and eigenfunctions; electromagnetic fields; finite difference time-domain analysis; frequency-domain analysis; interpolation; resonators; waveguide theory; 2D-eigenvalue problems; 3D-eigenvalue problems; FDTD algorithm; finite integration technique; frequency domain; interpolation formula; long-term stability; matrix-vector notation; nonorthogonal finite integration technique; resonator problems; time integration; waveguide problems; Eigenvalues and eigenfunctions; Equations; Finite difference methods; Frequency domain analysis; Interpolation; Permittivity; Space technology; Stability; Time domain analysis; Transmission line matrix methods;

fLanguage

English

Journal_Title

Magnetics, IEEE Transactions on

Publisher

ieee

ISSN

0018-9464

Type

jour

DOI

10.1109/20.877588

Filename

877588