Application of the perfectly matched layer (PML) absorbing boundary condition to elastic wave propagation

Journal of the Acoustical Society of America

Volumn 100, Issue 5, 1996, Pages 3061-3069

  Hastings, Frank D ^a   Schneider, John B ^a   Broschat, Shira L ^a  

^a Washington State University   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

ARTICLE; ELASTICITY; MATHEMATICAL COMPUTING; PRIORITY JOURNAL; SOUND; SURFACE PROPERTY;

EID: 0029858582     PISSN: 00014966     EISSN: None     Source Type: Journal    
DOI: 10.1121/1.417118     Document Type: Article

References (29)

1. A. R. Levander, "Use of the telegraphy equation to improve absorbing boundary efficiency for fourth-order acoustic wave finite difference schemes," Bull. Seismol. Soc. Am. 75(6), 1847-1852 (1985).
2. C. Cerjan, D. Kosloff, R. Kosloff, and M. Reshef, "A nonreflecting boundary condition for discrete acoustic and elastic wave equations," Geophysics 50(4), 705-708 (1985).
3. M. E. Dougherty and R. A. Stephen, "Seismic energy partitioning and scattering in laterally heterogeneous ocean crust," Pure Appl. Geophys. 128(1/2), 195-229 (1988).
4. A. R. Levander, "Fourth-order finite-difference P-SV seismograms," Geophysics 53(11), 1425-1436 (1988).
5. R. A. Stephen, "A review of finite difference methods for seismoacoustics: Problems at the seafloor," Rev. Geophys. 26(3), 445-458 (1988).
6. R. A. Stephen and S. A. Swift, "Finite difference modeling of geoacoustic interaction at anelastic seafloors," J. Acoust. Soc. Am. 95, 60-70 (1994).
7. R. A. Stephen and S. A. Swift, "Modeling seafloor geoacoustic interaction with a numerical scattering chamber," J. Aeoust. Soc. Am. 96, 973-990 (1994).
8. R. Clayton and B. Engquist, "Absorbing boundary conditions for acoustic and elastic wave equations," Bull. Seismol. Soc. Am. 67(6), 1529-1539 (1977).
9. R. L. Higdon, "Absorbing boundary conditions for difference approximations to the multi-dimensional wave equation," Math. Comput. 47(176), 437-459 (1986).
10. R. L. Higdon, "Numerical absorbing boundary conditions for the wave equation," Math. Comput. 49(179), 65-90 (1987).
11. R. L. Higdon, "Absorbing boundary conditions for elastic waves," Geophysics 56(2), 231-241 (1991).
12. L. T. Long and J. S. Liow, "A transparent boundary for finite-difference wave simulation," Geophysics 55(2), 201-208 (1990).
13. A. C. Reynolds, "Boundary conditions for the numerical solution of wave propagation problems," Geophysics 43(6), 1099-1110 (1978).
14. Z. P. Liao, H. L. Wong, B.-P. Yang, and Y.-F. Yuan, "A transmitting boundary for transient wave analysis," Sci. Sin., Ser. A 27(10), 1063-1076 (1984).
15. C. Peng and M. N. Toksöz, "An optimal absorbing boundary condition for finite difference modeling of acoustic and elastic wave propagation," J. Acoust. Soc. Am. 95, 733-745 (1994).
16. C. J. Randall, "Absorbing boundary for the elastic wave equation: Velocity-stress formulation," Geophysics 54(9), 1141-1152 (1989).
17. E. L. Lindman, " 'Free-space' boundary conditions for the time dependent wave equation," J. Comput. Phys. 18, 66-78 (1975).
18. J.-P. Berenger, "A perfectly matched layer for the absorption of electromagnetics waves," J. Comput. Phys. 114, 185-200 (1994).
19. W. C. Chew, W. H. Weedon, and A. Sezginer, "A 3-D perfectly matched medium by coordinate stretching and its absorption of static fields," in 11th Annual Review of Progress in Applied Computational Electromagnetics, Monterey, CA, 1995, Vol. 1, pp. 482-489.
20. W. C. Chew and W. H. Weedon, "A 3D perfectly matched medium from modified Maxwell's equations with stretched coordinates," Microwave Opt. Technol. Lett. 7(13), 599-604 (1994).
21. Since this paper was accepted for publication. Chew and Liu have formulated an elastic PML from stretched coordinates that does not require the use of potentials. See Proceedings of the IEEE Antennas and Propagation Society International Symposium (IEEE, New York, 1996), Vol. 1, pp. 366-369.
22. R. Mittra and Ü. Pekel, "A new look at the perfectly matched layer (PML) concept for the reflectionless absorption of electromagnetic waves," IEEE Microwave Guided Wave Lett. 5(3), 84-86 (1995).
23. C. E. Reuter, R. M. Joseph, E. T. Thiele, D. S. Katz, and A. Taflove, "Ultrawideband absorbing boundary condition for termination of waveguiding structures in FD-TD simulations," IEEE Microwave Guided Wave Lett. 4(10), 344-346 (1994).
24. J. G. Maloney and K. E. Cummings, "Adaptation of FDTD techniques to acoustic modeling," in 11th Annual Review of Progress in Applied Computational Electromagnetics, Monterey, CA, 1995, Vol. 2, pp. 724-731.
25. J. Vineux, "P-SV wave propagation in heterogeneous media: Velocity-stress finite difference method," Geophysics 51(4), 889-901 (1986).
26. Z. Wu and J. Fang, "Performance of the perfectly matched layer in modeling wave propagation in microwave and digital circuit interconnects," in 11th Annual Review of Progress in Applied Computational Electromagnetics, Monterey, CA, 1995, Vol. 1, pp. 504-511.
27. P. G. Petropoulos, "Analysis of exponential time differencing for FD-TD in highly conducting dielectrics," submitted to IEEE Trans. Antennas Propagat. (1996).
28. F. D. Hastings, J. B. Schneider, and S. L. Broschat, "A Monte-Carlo FDTD technique for rough surface scattering," IEEE Trans. Antennas Propag. 43(11), 1183-1191 (1995).
29. R. Courant, K. O. Friedrichs, and H. Lewy, "On the partial difference equations of mathematical physics," Technical Report NYO-7689, New York University, Courant Institute of Mathematics, 1956, translated by P. Fox.