Numerical dispersion relation for FDTD method in general curvilinear coordinates

IEEE Microwave and Guided Wave Letters

Volumn 7, Issue 2, 1997, Pages 48-50

  Xiao, Fengchao ^b   Yabe, Hatsuo ^a,b  

^a IEEE

^b UNIVERSITY OF ELECTRO COMMUNICATIONS   (Japan)

Author keywords

[No Author keywords available]

Indexed keywords

APPROXIMATION THEORY; CALCULATIONS; ERRORS; FINITE DIFFERENCE METHOD; NUMERICAL METHODS; TIME DOMAIN ANALYSIS; VECTORS;

FINITE DIFFERENCE TIME DOMAIN METHOD; GENERAL CURVILINEAR COORDINATES SYSTEMS; NUMERICAL DISPERSION RELATION;

ALGORITHMS;

EID: 0031079380     PISSN: 10518207     EISSN: None     Source Type: Journal    
DOI: 10.1109/75.553055     Document Type: Article

References (8)

1. E. A. Navarro, C. Wu, P. Y. Chung, and J. Litva, "Some considerations about the finite difference time domain method in general curvilinear coordinates" IEEE Microwave Guided Wave Lett., vol. 4, pp. 396-398, Dec. 1994.
2. S. L. Ray, "Numerical dispersion and stability characteristics of time-domain methods on nonorthogonal meshes," IEEE Trans. Antennas Propagat., vol. 41, pp. 233-235, Feb. 1993.
3. H. Shi and J. L. Drewniak, "Dispersion comparison for DSI- and tensorbased nonorthogonal FDTD," IEEE Microwave Guided Wave Lett., vol. 6, pp. 193-195, May 1996.
4. R. Holland, "Finite-difference solution of Maxwell's equations in generalized nonorthogonal coordinates," IEEE Trans. Nucl. Sci., vol. NS-30, pp. 4589-4591, Dec. 1983.
5. M. Fusco, M. V. Smith, and L. W. Gordon, "A three-dimensional FDTD algorithm in curvilinear coordinates," IEEE Trans. Antennas Propagat., vol. 39, no. 10, pp. 1463-1471, Oct. 1991.
6. J. F. Lee, R. Palandech, and R. Mittra, "Modeling three-dimensional discontinuities in waveguides using nonorthogonal FDTD algorithm," IEEE Trans. Microwave Theory Tech., vol. 40, pp. 346-352, Feb. 1992.
7. A. Taflove, Computational Electrodynamics-The Finite-Difference Time-Domain Method. Boston, MA: Artech House, 1995, pp. 353-382.
8. J. A. Stratton, Electromagnetic Theory. New York: McGraw-Hill, 1941, pp. 38-47.