Title :
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
fDate :
7/1/2000 12:00:00 AM
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;
Journal_Title :
Magnetics, IEEE Transactions on
