An anisotropic perfectly matched layer-absorbing medium for the truncation of FDTD lattices

A perfectly matched layer (PML) absorbing material composed of a uniaxial anisotropic material is presented for the truncation of finite-difference time-domain (FDTD) lattices. It is shown that the uniaxial PML material formulation is mathematically equivalent to the perfectly matched layer method p...

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Bibliographic Details
Published in:IEEE transactions on antennas and propagation 1996-12, Vol.44 (12), p.1630-1639
Main Author: Gedney, S.D.
Format: Article
Language:English
Subjects:
Anisotropic magnetoresistance
Dispersion
Finite difference methods
Lattices
Maxwell equations
Permittivity
Polarization
Reflection
Tellurium
Time domain analysis
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Summary:A perfectly matched layer (PML) absorbing material composed of a uniaxial anisotropic material is presented for the truncation of finite-difference time-domain (FDTD) lattices. It is shown that the uniaxial PML material formulation is mathematically equivalent to the perfectly matched layer method published by Berenger (see J. Computat. Phys., Oct. 1994). However, unlike Berenger's technique, the uniaxial PML absorbing medium presented in this paper is based on a Maxwellian formulation. Numerical examples demonstrate that the FDTD implementation of the uniaxial PML medium is stable, equal in effectiveness as compared to Berenger's PML medium, while being more computationally efficient.
ISSN:0018-926X
1558-2221
DOI:10.1109/8.546249