Development of the CPML for three-dimensional unconditionally stable LOD-FDTD method

IEEE Transactions on Antennas and Propagation

Volumn 58, Issue 3, 2010, Pages 832-837

  Ahmed, Iftikhar ^a   Khoo, Eng Huat ^a   Li, Erping ^a  

^a INSTITUTE OF HIGH PERFORMANCE COMPUTING   (Singapore)

Author keywords

Alternating direction implicit finite difference time domain (ADI FDTD); Convolutional perfectly matched layer (CPML); Courant Friedrich Levy (CFL) limit; Finite difference time domain (FDTD); Perfectly matched layer (PML)

Indexed keywords

ADI-FDTD; ALTERNATING DIRECTION IMPLICIT; CONVOLUTIONAL PERFECTLY MATCHED LAYER; COURANT FRIEDRICH LEVY LIMITS; FINITE DIFFERENCE TIME DOMAINS; FINITE DIFFERENCE TIME-DOMAIN; PERFECTLY MATCHED LAYER;

CONVOLUTION; ELECTROMAGNETIC WAVE ABSORPTION; NUMERICAL ANALYSIS; NUMERICAL METHODS; THREE DIMENSIONAL;

FINITE DIFFERENCE TIME DOMAIN METHOD;

EID: 77749343194     PISSN: 0018926X     EISSN: None     Source Type: Journal    
DOI: 10.1109/TAP.2009.2039334     Document Type: Article

References (13)

1. A. Taflove, Computational Electrodynamics: The Finite-Difference Time-Domain Method. Boston, MA: Artech House, 2005.
2. F. Zheng, Z. Chen, and J. Zhang, "A finite-difference time-domain method without the Courant stability conditions," IEEE Microw. Guided Wave Lett., vol. 9, no. 11, pp. 441-443, 1999.
3. T. Namiki, "A new FDTD algorithm based on alternating-direction implicit method," IEEE Trans. Microw. Theory Tech., vol. 47, no. 10, pp. 2003-2007, 1999.
4. J. Shibayama, M. Muraki, J. Yamauchi, and H. Nakano, "Efficient implicit FDTD algorithm based on locally one-dimensional scheme," Electron. Lett., vol. 41, no. 19, pp. 1046-1047, 2005.
5. I. Ahmed, E. K. Chua, E. P. Li, and Z. Chen, "Development of the three-dimensional unconditionally stable LOD-FDTD method," IEEE Trans. Antennas Propag., vol. 56, no. 11, pp. 3596-3600, 2008.
6. J. P. Berenger, "A perfectly matched layer for the absorption of electromagnetic waves," J. Comput. Phys., vol. 114, pp. 195-200, 1994.
7. Z. S. Sacks, D. M. Kingsland, R. Lee, and J. F. Lee, "A perfectly matched anisotropic absorber for use as an absorbing boundary condition," IEEE Trans. Antennas Propag., vol. 43, pp. 1460-1463, 1995.
8. J. A. Roden and S. D. Gedney, "Convolutional PML (CPML): An efficient FDTD implementation of the CFS-PML for arbitrary media," Microw. Opt. Technol. Lett., vol. 27, pp. 334-339, 2000.
9. J. P. Berenger, "Numerical reflection from FDTD-PMLs: A comparison of the split PML with the unsplit and CFS PMLs," IEEE Trans. Antennas Propag., vol. 50, no. 3, pp. 258-265, 2002.
10. M. J. Inman, A. Z. Elsherbeni, J. G. Maloney, and B. N. Baker, "GPU based FDTD solver with CPML boundaries," in IEEE Antennas Propag. Society Symp., Jun. 2007, pp. 5255-5258.
11. I. Ahmed, E. P. Li, and K. Krohne, "Convolutional perfectly matched layer for an unconditionally stable LOD-FDTD method," IEEE Microw. Wireless Compon. Lett., vol. 17, no. 2, pp. 816-818, 2007.
12. S. D. Gedney, G. Liu, A. Roden, and A. Zhu, "Perfectly matched layer media with CFS for an unconditionally stable ADI-FDTD method," IEEE Trans. Antennas Propag., vol. 49, no. 11, pp. 1554-1559, 2001.
13. I. Ahmed, C. E. Kee, and E. P. Li, "Numerical dispersion analysis of the unconditionally stable three-dimensional LOD-FDTD method," IEEE Trans. Antennas Propag., submitted for publication.