Low-dispersion algorithms based on the higher order (2,4) FDTD method

IEEE Transactions on Microwave Theory and Techniques

Volumn 52, Issue 4, 2004, Pages 1321-1327

  Zygiridis, Theodores T ^a   Tsiboukis, Theodoros D ^a  

^a ARISTOTLE UNIVERSITY OF THESSALONIKI   (Greece)

Author keywords

Finite difference tune domain (FDTD) method; Higher order schemes; Numerical dispersion

Indexed keywords

ALGORITHMS; APPROXIMATION THEORY; COMPUTER SIMULATION; ELECTROMAGNETIC FIELDS; ERROR ANALYSIS; FINITE DIFFERENCE METHOD; FREQUENCIES; OPTIMIZATION;

FINITE-DIFFERENCE TIME-DOMAIN (FDTD) METHOD; HIGH ORDER SCHEMES; NUMERICAL DISPERSIONS;

TIME DOMAIN ANALYSIS;

EID: 2442482664     PISSN: 00189480     EISSN: None     Source Type: Journal    
DOI: 10.1109/TMTT.2004.825695     Document Type: Article

References (20)

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, Computational Electrodynamics: The Finite-Difference Time-Domain Method. Norwood, MA: Artech House, 1995.
3. K. L. Shlager and J. B. Schneider, "Comparison of the dispersion properties of several low-dispersion finite-difference time-domain algorithms," IEEE Trans. Antennas Propagat., vol. 51, pp. 642-653, Mar. 2003.
4. J. W. Nehrbass, J. O. Jevtić, and R. Lee, "Reducing the phase error for finite-difference methods without increasing the order," IEEE Trans. Antennas Propagat., vol. 46, pp. 1194-1201, Aug. 1998.
5. J. B. Cole, "A high-accuracy realization of the Yee algorithm using nonstandard finite differences," IEEE Trans. Microwave Theory Tech., vol. 45, pp. 991-996, June 1997.
6. E. A. Forgy and W. C. Chew, "A time-domain method with isotropic dispersion and increased stability on an overlapped lattice," IEEE Trans. Antennas Propagat., vol. 50, pp. 983-996, July 2002.
7. J. Fang, "Time domain computation for Maxwell's equations," Ph.D. dissertation, Univ. California at Berkeley, Berkeley, CA, 1989.
8. M. F. Hadi and M. Piket-May, "A modified FDTD (2,4) scheme for modeling electrically large structures with high-phase accuracy," IEEE Trans. Antennas Propagat., vol. 45, pp. 254-264, Feb. 1997.
9. E. Turkel, "High-order methods," in Advances in Computational Electromagnetics: The Finite-Difference Time-Domain Method, A. Taflove, Ed. Norwood, MA: Artech House, 1998, ch. 2, pp. 63-110.
10. A. Yefet and P. G. Petropoulos, "A staggered fourth-order accurate explicit finite difference scheme for the time-domain Maxwell's equations," J. Comput. Phys., vol. 168, pp. 286-315, 2001.
11. N. V. Kantartzis and T. D. Tsiboukis, "A higher-order FDTD technique for the implementation of enhanced dispersionless perfectly matched layers combined with efficient absorbing boundary conditions," IEEE Trans. Magn., vol. 34, pp. 2736-2739, Sept. 1998.
12. J. L. Young, D. Gaitonde, and J. J. S. Shang, "Toward the construction of a fourth-order difference scheme for transient EM wave simulation: staggered grid approach," IEEE Trans. Antennas Propagat., vol. 45, pp. 1573-1580, Nov. 1997.
13. S. V. Georgakopoulos, C. R. Butcher, C. A. Balanis, and R. A. Renaut, "Higher-order finite-difference schemes for electromagnetic radiation, scattering, and penetration - Part I: Theory," IEEE Antennas Propagat. Mag., vol. 44, pp. 134-142, Feb. 2002.
14. Z. Shao, Z. Shen, Q. He, and G. Wei, "A generalized higher order finite-difference time-domain method and its application in guided-wave problems," IEEE Trans. Microwave Theory Tech., vol. 51, pp. 856-861, Mar. 2003.
15. S. Wang and F. L. Teixeira, "A three-dimensional angle-optimized finite-difference time-domain algorithm," IEEE Trans. Microwave Theory Tech., vol. 51, pp. 811-817, Mar. 2003.
16. _, "Dispersion-relation-preserving FDTD algorithms for large-scale three-dimensional problems," IEEE Trans. Antennas Propagat., vol. 51, pp. 1818-1828, Aug. 2003.
17. S. K. Lele, "Compact finite difference schemes with spectral-like resolution," J. Comput. Phys., vol. 103, pp. 16-42, 1992.
18. C. K. W. Tam and J. C. Webb, "Dispersion-relation-preserving finite difference schemes for computational acoustics," J. Comput. Phys., vol. 107, pp. 262-281, 1993.
19. Z. Haras and S. Ta'asan, "Finite difference schemes for long-time integration," J. Comput. Phys., vol. 114, pp. 265-279, 1994.
20. J.-P. Berenger, "A perfectly matched layer for the absorption of electromagnetic waves," J. Comput. Phys., vol. 114, pp. 185-200, 1994.