Title :
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
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;
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
DOI :
10.1109/CEMTD.2007.4373542
