Novel explicit 2-D FDTD scheme with isotropic dispersion and enhanced stability

IEEE Transactions on Antennas and Propagation

Volumn 54, Issue 11, 2006, Pages 3505-3510

  Koh, Il Suek ^a   Kim, Hyun ^b   Lee, Jung Mi ^b   Yook, Jong Gwan ^b   Pil, Chang Sung ^a  

^a Inha University   (South Korea)

^b Yonsei University   (South Korea)

Author keywords

Finite difference time domain (FDTD); Isotropic numerical dispersion; Stability analysis

Indexed keywords

ALGORITHMS; FINITE DIFFERENCE METHOD; TIME DOMAIN ANALYSIS;

FINITE-DIFFERENCE TIME-DOMAIN (FDTD) METHOD; ISOTROPIC NUMERICAL DISPERSION; MONOCHROMATIC FREQUENCY;

ELECTROMAGNETIC DISPERSION;

EID: 35348920393     PISSN: 0018926X     EISSN: None     Source Type: Journal    
DOI: 10.1109/TAP.2006.884288     Document Type: Article

References (13)

1. A. Taflove, Computational Electrodynamics: The Finite-Difference Time-Domain Method. Norwood, MA: Artech House, 1995.
2. S. Wang and F. L. Teixeira, "Dispersion-relation-preserving FDTD algorithms for large-scale three-dimensional problems," IEEE Trans. Antennas Propag., vol. 51, no. 8, pp. 1818-1828, Aug. 2003.
3. J. W. Nehrbass, J. O. Jevtic, and R. Lee, "Reducing the phase error for finite-difference methods without increasing the order," IEEE Trans. Antennas Propag., vol. 46, no. 8, pp. 1194-1201, Aug. 1998.
4. 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.
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. 582-8, Apr. 2000.
6. J. B. Cole, "A high-accuracy realization of the Yee algorithm using non-standard finite differences," IEEE Trans. Microwave Theory Tech., vol. 45, pp. 991-6, Jun. 1997.
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 Propag., vol. 50, pp. 983-96, Jul. 2002.
8. K. L. Shlager and J. B. Schneider, "Comparison of the dispersion properties of several low-dispersion finite-difference time-domain algorithm," IEEE Trans. Antennas Propag., vol. 51, no. 3, pp. 642-653, Mar. 2003.
9. I. J. Craddock, C. J. Railton, and J. P. McGeehan, "Derivation and application of a passive equivalent circuit for the finite difference time domain algorithm," IEEE Microwave Guided Wave Lett., vol. 6, pp. 40-42, 1996.
10. M. Abramowitz and I. A. Stegun, Handbook of Mathematical Functions with Formulas, Graphs, and Mathematical Tables. Washington, DC: National Bureau of Standards, 1982.
11. P. W. Berg and J. L. McGregor, Elementary Partial Differential Equations. San Francisco, CA: Holden-Day, 1966.
12. 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, vol. 85, pp. 389-396, May 2000, Pt. 2.
13. N. Morita, N. Kumagai, and J. R. Mautz, Integral Equation Methods for Electromagnetics. Boston, MA: Artech House, 1990.