ANALYTIC SOLUTIONS FOR THE FINITE-DIFFERENCE TIME-DOMAIN AND TRANSMISSION-LINE-MATRIX METHODS

被引:18
作者
CHEN, ZZ
SILVESTER, PP
机构
[1] McGill University, Montreal
关键词
FINITE DIFFERENCE TIME DOMAIN (FDTD); TRANSMISSION-LINE MATRIX (TLM); EIGENVALUES; EIGENVECTORS; MODAL MATRIX;
D O I
10.1002/mop.4650070104
中图分类号
TM [电工技术]; TN [电子技术、通信技术];
学科分类号
0808 ; 0809 ;
摘要
Eigenmodal decomposition formulations are given for numerical solutions of the finite-difference time-domain (FDTD) and the transmission-line-matrix (TLM) methods. Instead of direct simulation with these time-recursive schemes, the analysis involves two steps: (1) solving an eigenvalue problem, and (2) analytically constructing the numerical solutions in terms of the eigenvalues and eigenvectors. The numerical solution at any time step can be obtained with only O(N) computation once the corresponding eigenvalue problem has been solved. The main advantage of this technique is that the eigenvalues and eigenvectors for a problem can be stored, the numerical solutions then quickly processed with the stored data. In addition, high-frequency numerical noise can be reduced simply by discarding the related high-frequency modes. (C) 1994 John Wiley & Sons, Inc.
引用
收藏
页码:5 / 8
页数:4
相关论文
共 10 条
[1]  
Directions in Electromagnetic Modeling, (1991)
[2]  
Numerical Techniques for Passive Microwave and Millimeter‐Wave Structures, (1989)
[3]  
Johns P.B., On the Relation between TLM Method and Finite‐Difference Methods for Maxwell's Equations, IEEE Trans. Microwave Theory Tech., 35 MTT, 1, pp. 60-61, (1987)
[4]  
Chen Z., Michel M.M., Hoefer W.J.R., A New Finite‐Difference Time‐Domain Formulation and Its Equivalence with the TLM Symmetrical Condensed Node, IEEE Trans. Microwave Theory Tech., 39, 12, pp. 2160-2169, (1991)
[5]  
Yee K.S., Numerical Solutions of Initial Boundary Value Problems Involving Maxwell's Equations, IEEE Trans. Antennas Propagat., 14 AP, 3, pp. 302-307, (1966)
[6]  
Taflove A., Review of the Formulation and Application of the Finite‐Difference Time‐Domain Method for Numerical Modeling of Electromagnetic Wave Interactions with Arbitrary Structures, Wave Motion, 10, pp. 547-582, (1988)
[7]  
Taflove A., Umashankar K.R., (1991)
[8]  
Hoefer W.J.R., Time‐Domain Electromagnetic Simulation, IEEE Trans. Microwave Theory Tech., 33 MTT, pp. 882-893, (1992)
[9]  
Johns P.B., Beurle R.L., Numerical Solution of 2‐Dimen‐sional Scattering Problems Using a Transmission‐Line Matrix, Proc. IEE, 118, 9, pp. 1203-1208, (1971)
[10]  
Hoefer W.J.R., The Transmission‐Line‐Matrix Method Theory and Applications, IEEE Trans. Microwave Theory Tech., 33 MTT, pp. 882-893, (1985)