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IEEE Microwave and Guided Wave Letters
Volume 10 Number 7, July 2000

Table of Contents for this issue

Complete paper in PDF format

Perfectly Matched Layer Media for an Unconditionally Stable Three-Dimensional ADI-FDTD Method

Gang Liu and Stephen D. Gedney

Page 261.

Abstract:

A split field perfectly matched layer (PML) medium is introduced for the three-dimensional (3-D) alternating direction implicit (ADI) formulation of the finite-difference time-domain (FDTD) method. It is demonstrated that the ADI-FDTD method remains unconditionally stable with the inclusion of the PML. The effectiveness of the absorbing medium as a function of the time step is also demonstrated.

References

  1. F. Zheng, Z. Chen and J. Zhang, "A finite-difference time-domain method without the courant stability conditions", IEEE Microwave Guided Wave Lett., vol. 9, pp.  441-443, Nov.  1999.
  2. J. P. Berenger, "A perfectly matched layer for the absorption of electromagnetic waves", J. Comput. Phys., vol. 114, pp.  185-200, Oct.  1994.
  3. J.-P. Berenger, "Improved PML for the FDTD solution of wave-structure interaction problems", IEEE Trans. Antennas Propagat., vol. 45, pp.  466-473, March  1997.
  4. S. D. Gedney, "Perfectly matched layer absorbing medium,"in Advances in Computational Electrodynamics: The Finite-Difference Time-Domain Method , A. Taflove, Ed. Norwood, MA: Artech House, 1998, pp.  263-343. 
  5. G. H. Golub and C. F. Van Loan, Matrix Computations, 2nd ed.   Baltimore, MD: The Johns Hopkins Univ. Press, 1989.
  6. J. A. Roden and S. D. Gedney, "An efficient FDTD implementation of the PML with CFS in general media", in 2000 IEEE Int. Symp. Antennas and Propagation, Salt Lake City, UT, July 16-21 2000.