A dispersion-reduction scheme for the higher order (2,4) FDTD method

IEEE Transactions on Magnetics

Volumn 40, Issue 2 II, 2004, Pages 1464-1467

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

^a ARISTOTLE UNIVERSITY OF THESSALONIKI   (Greece)

Author keywords

Higher order FDTD methods; Numerical dispersion; Numerical methods

Indexed keywords

ALGORITHMS; MATHEMATICAL MODELS; MAXWELL EQUATIONS; MICROWAVES; NATURAL FREQUENCIES; NUMERICAL METHODS; TIME DOMAIN ANALYSIS;

COMPUTATIONAL ELECTROMAGNETICS; HIGHER ORDER FDTD METHODS; NUMERICAL DISPERSION; SINGLE-FREQUENCY FOUNDATION;

FINITE DIFFERENCE METHOD;

EID: 2342614902     PISSN: 00189464     EISSN: None     Source Type: Journal    
DOI: 10.1109/TMAG.2004.824779     Document Type: Article

References (14)

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. J. B. Cole, "A high-accuracy realization of the Yee algorithm using non-standard finite differences," IEEE Trans. Microwave Theory Tech., vol. 45, pp. 991-996, June 1997.
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. S. Juntunen and T. D. Tsiboukis, "Reduction of numerical dispersion in FDTD method through artificial anisotropy," IEEE Trans. Microwave Theory Tech., vol. 48, pp. 582-588, Apr. 2000.
6. K. Suzuki, T. Kashiwa, and Y. Hosoya, "Reducing the numerical dispersion in the FDTD analysis by modifying anisotropically the speed of light," Electron. Commun. Jpn., pt. 2, vol. 85, pp. 389-396, May 2000.
7. 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.
8. J. Fang, "Time domain finite difference computation for Maxwell's equations," Ph.D. dissertation, Univ. California, Berkeley, CA, 1989.
9. 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.
10. 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.
11. A. Yefet and P. G. Petropoulos, "A staggered fourth-order accurate explicit finite difference scheme for the time-domain Maxwell's equations," J. Comp. Phys., vol. 168, pp. 286-315, 2001.
12. S. V. Georgakopoulos, C. R. Birtcher, 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.
13. S. Wang, F. L. Teixeira, R. Lee, and J.-F. Lee, "Dispersion- relation-preserving (DRP) 2-D finite-difference time-domain schemes," in Proc. IEEE AP-S Symp., vol. 3, 2002, pp. 264-267.
14. H. Spachmann, R. Schumann, and T. Weiland, "Higher order explicit time integration schemes for Maxwell's equations," Int. J. Num. Modelling, vol. 15, pp. 419-437, 2002.