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IEEE Transactions on Microwave Theory and Techniques
Volume 48 Number 3, March 2000

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Arbitrarily Oriented Perfectly Matched Layer in the Frequency Domain

Xiaoming Xu and Robin Sloan

Page 461.

Abstract:

An arbitrarily oriented perfectly matched layer (PML) is introduced by using complex space mapping for more flexible meshing of microwave engineering problems. The PML can be oriented in any direction. The discussion is extended to two-direction PML's for matching the interface between one-direction PML's, and three-direction PML's for two-direction ones. An example having analytical solution is calculated. Numerical results agree with the analytical solution very well within 0.1%.

References

  1. J.-P. Berenger,"A perfectly matched layer for the absorption of electromagnetic wave", J. Comput. Phys., vol. 114, pp.  185-200, 1994.
  2. C. M. Rappaport,"Perfectly matched absorbing boundary conditions based on anisotropic lossy mapping of space", IEEE Microwave Guided Wave Lett., vol.  5, pp.  90-92, Mar.  1995.
  3. C. M. Rappaport,"Interpreting and improving the PML absorbing boundary condition using anisotropic lossy mapping of space ", IEEE Trans. Magn., vol. 32, pp.  968-974, May  1996.
  4. X. Xu, " New approximations in finite element calculation in high frequency", Ph.D. dissertation, South Bank Univ., London, U.K., 1997.