Dispersion and Maximum Time Step of 2D ADI and CN ID-FDTD

Author

Kim, Hyun ; Kim, Woo-Tae ; Koh, Il-Suek ; Yook, Jong-Gwan

Author_Institution

Yonsei Univ., Seoul

fYear

2007

fDate

15-17 Oct. 2007

Firstpage

1

Lastpage

4

Abstract

This paper reviews ADI ID-FDTD and CN ID-FDTD methods, the implicit FDTD methods based on isotropic dispersion finite difference (IDFD) scheme reported in [1] and [2]. The dispersion relations of each method are derived by solving the eigenvalue problem of iteration matrix in spatial spectral domain, and it is identified to induce the equal dispersion relations that presented in [1] and [2] through Fourier analysis. In addition, the maximum time steps of ADI ID-FDTD and CN ID-FDTD methods are mentioned.

Keywords

dispersion (wave); eigenvalues and eigenfunctions; finite difference time-domain analysis; iterative methods; matrix algebra; 1D-FDTD; dispersion relations; eigenvalue problem; isotropic dispersion finite difference scheme; iteration matrix; maximum time step; spatial spectral domain; Anisotropic magnetoresistance; Dispersion; Eigenvalues and eigenfunctions; Finite difference methods; Information technology; Permeability; Permittivity; Polynomials; Stability; Time domain analysis; ADI; CN; FDTD; ID-FDTD; Isotropic Dispersion; dispersion relation;

fLanguage

English

Publisher

ieee

Conference_Titel

Computational Electromagnetics in Time-Domain, 2007. CEM-TD 2007. Workshop on

Conference_Location

Perugia

Print_ISBN

978-1-4244-1170-2

Electronic_ISBN

978-1-4244-1170-2

Type

conf

DOI

10.1109/CEMTD.2007.4373542

Filename

4373542