Least square method to optimize the coefficients of complex finite-difference space stencils

IEEE Antennas and Wireless Propagation Letters

Volumn 5, Issue 1, 2006, Pages 450-453

  Yang, Bo ^a   Balanis, Constantine A ^a  

^a Arizona State University   (United States)

Author keywords

Dispersion; Finite difference time domain method (fdtd); Least square method; Optimization

Indexed keywords

COMPLEX SPACE; FINITE DIFFERENCE; LEAST SQUARE METHODS; NUMERICAL DISPERSIONS; OPTIMAL VALUES; TIME-DOMAIN METHODS;

FINITE DIFFERENCE TIME DOMAIN METHOD; LEAST SQUARES APPROXIMATIONS; NUMERICAL METHODS; OPTIMIZATION;

DISPERSIONS;

EID: 40949131563     PISSN: 15361225     EISSN: None     Source Type: Journal    
DOI: 10.1109/LAWP.2006.885012     Document Type: Article

References (11)

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, no. 5, pp. 302-307, May 1966.
2. J. Fang, "Time Domain Computation for Maxwell's Equations," Ph.D. dDissertation, Univ. California at Berkley, Berkeley, CA, 1989.
3. M. F. Hadi and M. Piket-May, "A modified FDTD (2,4) schemes for modeling electrically large structures with high-phase accuracy," IEEE Trans. Antennas Propagat., vol. 45, no. 2, pp. 254-264, Feb. 1997.
4. G. Haussmann and M. Piket-May, "FDTD M24 dispersion and stability in three dimensions," in 14th Annual Review of Progress in Applied Computational Electromagnetics, vol. 1, Monterey, CA, Mar. 1998, pp. 82-89.
5. A. Kumar, "Isotropic finite-differences," J. Comput. Phys., vol. 201, pp. 109-118, Nov. 2004.
6. J. W. Nehrbass, J. O. Jevtic, and R. Lee, "Reducing the phase error for finite-difference methods without increasing the order," IEEE Trans. Antennas Propagat., vol. 46, no. 8, pp. 1194-1201, Aug. 1998.
7. T. T. Zygiridis and T. D. Tsiboukis, "Low-dispersion algorithms based on the higher order (2,4) FDTD method," IEEE Trans. Microwave Theory Tech., vol. 52, no. 4, pp. 1321-1327, Apr. 2004.
8. G. Sun and C. W. Trueman, "Optimized finite-difference time-domain methods based on the (2,4) stencil," IEEE Trans. Microwave Theory Tech., vol. 53, no. 3, pp. 832-842, Mar. 2005.
9. A. Taflove and S. Hagness, Computational Electrodynamics: The Finite-Difference Time-Domain Method, 3rd ed. Boston, MA: Artech House, 2005.
10. K. L. Shlager and J. B. Schneider, "Comparison of the dispersion properties of higher order FDTD schemes and equivalent-sized MRTD schemes," IEEE Trans. Antennas Propagat., vol. 52, no. 4, pp. 1095-1104, Apr. 2004.
11. W. H. Press et al., Numerical Recipes in C: The Art of Scientific Computing, 2nd ed. Cambridge, U.K.: Cambridge Univ. Press, 1992.