Analysis and numerical experiments on the numerical dispersion of two-dimensional ADI-FDTD

IEEE Antennas and Wireless Propagation Letters

Volumn 2, Issue , 2003, Pages 78-81

  Sun, Guilin ^a   Trueman, Christopher W ^a  

^a Gina Cody School of Engineering and Computer Science   (Canada)

Author keywords

Alternate direction implicit (ADI) method; Finite difference time domain (FDTD) method; Numerical dispersion; Nyquist criterion

Indexed keywords

AMPLIFICATION; ANTENNAS; CELLULAR TELEPHONE SYSTEMS; ERROR ANALYSIS; FINITE DIFFERENCE METHOD; FOURIER TRANSFORMS; MAXWELL EQUATIONS; VLSI CIRCUITS;

ALTERNATE-DIRECTION-IMPLICIT (ADI); NUMERICAL DISPERSION; NYQUIST LIMIT; SPATIAL MESH;

DISPERSION (WAVES);

EID: 1242272629     PISSN: 15361225     EISSN: None     Source Type: Journal    
DOI: 10.1109/LAWP.2003.814771     Document Type: Article

References (9)

1. K. S. Yee, "Numerical solution of initial boundary value problems involving Maxwell's equations in isotropic media," IEEE Trans. Antennas Propagat., vol. AP-14, pp. 302-307, May 1966.
2. A. Taflove and S. C. Hagness, Computational Electrodynamics-the Finite-Difference Time-Domain Method, 2nd ed. Boston, MA: Artech House, 2000.
3. J. C. Strikwerda, Finite Difference Schemes and Partial Differential Equations. Pacific Grove, CA: Wadawoth Brooks/Cole, 1989.
4. T. Namiki, "A new FDTD algorithm based on alternating-direction implicit method," IEEE Trans. Microwave Theory Tech., vol. 47, pp. 2003-2007, Oct. 1999.
5. F. Zheng, Z. Chen, and J. Zhang, "Toward the development of a three-dimensional unconditionally stable finite-difference time-domain method," IEEE Trans. Microwave Theory Tech., vol. 48, pp. 1550-1558, Sept. 2000.
6. F. Zheng and Z. Chen, "Numerical dispersion analysis of the unconditionally stable 3-D ADI-FDTD method," IEEE Trans. Microwave Theory Tech., vol. 49, pp. 1006-1009, May 2001.
7. A. P. Zhao, "Analysis of the numerical dispersion of the 2-D alternating-direction implicit FDTD method," IEEE Trans. Microwave Theory Tech., vol. 50, pp. 1156-1164, Apr. 2002.
8. T. Namiki and K. Ito, "Investigation of numerical errors of the two-dimensional ADI- FDTD method for Maxwell's equations solution," IEEE Trans. Microwave Theory Tech., pt. 1, vol. 48. pp. 1950-1956, Nov. 2000.
9. G. Sun and C. W. Trueman, "Unconditionally stable Crank-Nicolson scheme for solving the two-dimensional Maxwell's equations," Inst. Elect. Eng. Electron. Lett., vol. 39, pp. 595-597, Apr. 2000.