A nonsplit complex frequency-shifted PML based on recursive integration for FDTD modeling of elastic waves

In finite-difference time-domain FDTD modeling of elastic waves, absorbing boundary conditions are used to mitigate un- fields — it is difficult to adopt a complex frequency--shifted stretching function. We present an alternative implemen-tation of a PML that is based on recursive integration and does not re- quire splitting of the velocity and stress fields. Modeling re-sults show that the performance of our implementation using a stan- dard stretching function is identical to that of the convention-al split-field PML. Then we show that the new PML can be modi- fied easily to include the complex frequency-shifted stretching function. Results of models with an elongated domain show that this modification can substantially improve the performance of

[1]  Moshe Reshef,et al.  A nonreflecting boundary condition for discrete acoustic and elastic wave equations , 1985 .

[2]  J. Virieux P-SV wave propagation in heterogeneous media: Velocity‐stress finite‐difference method , 1986 .

[3]  James S. Sochacki,et al.  Absorbing boundary conditions and surface waves , 1987 .

[4]  J. Sochacki Absorbing boundary conditions for the elastic wave equations , 1988 .

[5]  C. Randall,et al.  Absorbing boundary condition for the elastic wave equation , 1988 .

[6]  C. Randall,et al.  Absorbing boundary condition for the elastic wave equation: Velocity‐stress formulation , 1989 .

[7]  R. Higdon Absorbing boundary conditions for elastic waves , 1991 .

[8]  Jean-Pierre Berenger,et al.  A perfectly matched layer for the absorption of electromagnetic waves , 1994 .

[9]  M. Nafi Toksöz,et al.  An optimal absorbing boundary condition for elastic wave modeling , 1995 .

[10]  Jin-Fa Lee,et al.  A perfectly matched anisotropic absorber for use as an absorbing boundary condition , 1995 .

[11]  Allen Taflove,et al.  Computational Electrodynamics the Finite-Difference Time-Domain Method , 1995 .

[12]  Qing Huo Liu,et al.  PERFECTLY MATCHED LAYERS FOR ELASTODYNAMICS: A NEW ABSORBING BOUNDARY CONDITION , 1996 .

[13]  Raj Mittra,et al.  Frequency dependence of the constitutive parameters of causal perfectly matched anisotropic absorbers , 1996 .

[14]  John B. Schneider,et al.  Application of the perfectly matched layer (PML) absorbing boundary condition to elastic wave propagation , 1996 .

[15]  Stephen D. Gedney,et al.  Convolution PML (CPML): An efficient FDTD implementation of the CFS–PML for arbitrary media , 2000 .

[16]  S. Shapiro,et al.  Modeling the propagation of elastic waves using a modified finite-difference grid , 2000 .

[17]  C. Tsogka,et al.  Application of the perfectly matched absorbing layer model to the linear elastodynamic problem in anisotropic heterogeneous media , 2001 .

[18]  J. Bérenger,et al.  Application of the CFS PML to the absorption of evanescent waves in waveguides , 2002, IEEE Microwave and Wireless Components Letters.

[19]  J.-P. Wrenger,et al.  Numerical reflection from FDTD-PMLs: a comparison of the split PML with the unsplit and CFS PMLs , 2002 .

[20]  Tsili Wang,et al.  Finite-difference modeling of elastic wave propagation: A nonsplitting perfectly matched layer approach , 2003 .

[21]  Erik H. Saenger,et al.  Finite-difference modeling of viscoelastic and anisotropic wave propagation using the rotated staggered grid , 2004 .