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In this chapter, the perfectly matched layer absorbing boundary condition is generalized to three dimensions and to more general physical media. The first part is devoted to the 3D PML in the case where the inner medium is filled with a vacuum. The second part presents two interpretations of the PML medium, in terms of stretched coordinates and in terms of dependent currents. In the third part the PML is generalized to other physical media, especially to anisotropic media. The fourth part addresses the case where the inner medium is non homogeneous. In the fifth part the absorbing medium called uniaxial PML is presented. Finally, the sixth part introduces the CFS-PML medium obtained from the normal PML medium by means of a modification of the stretching coefficient.

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Generalizations and Interpretations of the Perfectly Matched Layer

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  • 发表日期：

    2025年

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  • Jean-Pierre Bérenger

摘要

In this chapter, the perfectly matched layer absorbing boundary condition is generalized to three dimensions and to more general physical media. The first part is devoted to the 3D PML in the case where the inner medium is filled with a vacuum. The second part presents two interpretations of the PML medium, in terms of stretched coordinates and in terms of dependent currents. In the third part the PML is generalized to other physical media, especially to anisotropic media. The fourth part addresses the case where the inner medium is non homogeneous. In the fifth part the absorbing medium called uniaxial PML is presented. Finally, the sixth part introduces the CFS-PML medium obtained from the normal PML medium by means of a modification of the stretching coefficient.