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The Perfectly Matched Layer for Computational Acoustics

  • Quan Qi
  • Thomas L. Geers
Conference paper

Abstract

Recently, Berenger [1] formulated, for the finite difference — time domain solution of Maxwell’s equations in two dimensions, a new absorbing boundary, which he called a perfectly matched layer (PML). His demonstration that the PML possesses extraordinary energy-absorbing properties was verified by Katz, et al. [2], who also extended the formulation to three-dimensions.

Keywords

Reflection Coefficient Riccati Equation Spherical Surface Perfectly Match Layer Breathing Motion 
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References

  1. [1]
    J.-P. Berenger, A Perfectly Matched Layer for the Absorption of Electromagnetic Waves, J. Comp. Physics, Vol. 114 (1994), pp. 185–200.MathSciNetMATHCrossRefGoogle Scholar
  2. [2]
    D. S. Katz, E. T. Thiele and A. Taflove, Validation and Extension to Three Dimensions of the Berenger PML Absorbing Boundary Condition for FD-TD Meshes, IEEE Microwave and Guided Wave Letters, Vol. 4 (1994), pp. 268–270.CrossRefGoogle Scholar
  3. [3]
    D.H. Towne, Wave Phenomena, Dover, New York (1967).Google Scholar
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    A.D. Pierce, Acoustics, Acoust. Soc. Am., New York (1989).Google Scholar
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    I. Tolstoy and C.S. Clay, Ocean Acoustics, Am. Inst Phys., New York (1987).Google Scholar
  6. [6]
    T.L. Geers, Doubly Asymptotic Approximations for Transient Motions of Submerged Structures, J. Acoust. Soc. Am., Vol. 64 (1978), pp. 1500–1508.MATHCrossRefGoogle Scholar

Copyright information

© Springer-Verlag Berlin Heidelberg 1995

Authors and Affiliations

  • Quan Qi
    • 1
  • Thomas L. Geers
    • 1
  1. 1.University of ColoradoBoulderUSA

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