2000 IEEE. Personal use of this material is permitted. However, permission to reprint/republish this material for advertising or promotional purposes or for creating new collective works for resale or redistribution to servers or lists, or to reuse any copyrighted component of this work in other works must be obtained from the IEEE.

IEEE Microwave and Guided Wave Letters
Volume 10 Number 9, September 2000

Table of Contents for this issue

Complete paper in PDF format

Frequency-Domain PML Layer Based on the Complex Mapping of Space Boundary Condition Treatment

H. A. Jamid

Page 356.

Abstract:

Mapping of real space into a complex one is done in order absorb the radiative field. The boundary condition which ensures reflectionless incidence at the vacuum/PML interface is established. The application of this boundary condition results in a modified finite-difference approximation of the second derivative of the field. This approach, which is valid only for frequency-domain methods is applied using the Method of Lines. Comparison of theory and numerical simulation establishes the validity of the approach.

References

  1. J. P. Berenger, "A perfectly matched layer for the absorption of electromagnetic waves", J. Comput. Phys., pp.  185-200, Oct.  1994 .
  2. Z. S. Sacks, D. M. Kingsland, R. Lee and J. F. Lee, "A perfectly matched anistropic absorber for use as an absorbing boundary condition", IEEE Trans. Antennas Propagat., vol. 43, pp.  1460-1563, Dec.  1995.
  3. S. D. Gedney, "An anistropic perfectly matched layer-absorbing medium for termination of FDTD lattices", IEEE Trans. Antennas Propagat., vol. 44, pp.  1630-1639, 1996.
  4. B. Chen, D. G. Fang and B. H. Zhou, "Modified Berenger PML absorbing boundary condition for FD-TD meshes", IEEE Microwave Guided Wave Lett., vol. 5, pp.  399-401,  Nov.  1995.
  5. Y. H. Chen, W. C. Chew and M. L. Oristaglio, "Application of perfectly matched layer for transient modeling of subsurface EM problems", Geophysics, vol. 62, pp.  1730-1736, Nov./Dec.  1997.
  6. W. C. Chew and W. H. Weedon, "A 3-D perfectly matched medium from modified Maxwell's equations with stretched coordinates", Microwave Opt. Technol. Lett., vol. 7, no. 13, pp.  599-604, Sept.  1994.
  7. C. M. Rappaport, "Perfectly matched absorbing boundary conditions based on anistropic lossy mapping of space", IEEE Microwave Guided Wave Lett., vol.  5, pp.  90-92, Mar.  1995.
  8. R. Mittra and U. Pekel, "A new look at the perfectly matched layer (PML) concepts for the reflectionless absorption of electromagnetic waves", IEEE Microwave Guided Wave Lett., vol. 5, pp.  84-86, 1995.
  9. W. C. Chew and J. M. Jin, "Perfectly matched layers in the discretized space: an analysis and optimization", Electromagnetics, vol. 16, no.  4, pp.  325-340, 1996.
  10. S. J. Al-Bader and H. A. Jamid, "Perfectly matched layer absorbing boundary conditions for the Method of Lines modeling scheme", IEEE Microwave Guided Wave Lett., vol. 8, pp.  357-359, Nov.  1998.
  11. R. Pregla and E. Ahlers, "The method of lines for the analysis of discontinuities in optical waveguides", Electron. Lett., vol. 29, no. 21, pp.  1845-1847, Oct.  1993.