Fd. Hastings et al., APPLICATION OF THE PERFECTLY MATCHED LAYER (PML) ABSORBING BOUNDARY-CONDITION TO ELASTIC-WAVE PROPAGATION, The Journal of the Acoustical Society of America, 100(5), 1996, pp. 3061-3069
A method is presented for application of the perfectly matched layer (
PML) absorbing boundary condition (ABC) to the P-SV velocity-stress fi
nite-difference method. The PML consists of a nonphysical material, co
ntaining both passive loss and dependent sources, that provides ''acti
ve'' absorption of fields. It has been used in electromagnetic applica
tions where it has provided excellent results for a wide range of angl
es and frequencies. In this work, numerical simulations are used to co
mpare the PML and an ''optimal'' second-order elastic ABC [Peng and To
ksoz, J. Acoust. Sec. Am. 95, 733-745 (1994)]. Reflection factors are
used to compare angular performance for continuous wave illumination;
snapshots of potentials are used to compare performance for broadband
illumination. These comparisons clearly demonstrate the superiority of
the PML formulation. Within the PML there is a 60% increase in the nu
mber of unknowns per grid cell relative to the velocity-stress formula
tion. However, the high quality of the PML ABC allows the use of a sma
ller grid, which can result in a lower overall computational cost. (C)
1996 Acoustical Society of America.