DIFFRACTION BY A WEDGE IN AN ACOUSTIC CONSTANT DENSITY MEDIUM¹

References

1. Aki, K. and Richards, P.G.1980. Quantitative Seismology, Theory and Methods, Vol. I. W.H. Freeman & Co.
   [Google Scholar]
2. Berg, P., If, F. and Skovgaard, O.1990. A spectral method for seismic wave propagation in elastic media. Wave Motion12, 415–427.
   [Google Scholar]
3. Berntsen, S.1983. Diffraction of an electric polarized wave by a dielectric wedge. SIAM Journal of Applied Mathematics43, 187–211.
   [Google Scholar]
4. Bleistein, N. and Cohen, J.K.1992. The Cagniard method in complex time revisited. Geophysical Prospecting40, 619–649.
   [Google Scholar]
5. Butler, G.F.1976. Diffraction by a wedge with an impedance condition at the surface. Journal of Sound and Vibration47, 283–286.
   [Google Scholar]
6. Ciarkowski, A., Boersma, J. and Mittra, R.1984. Plane‐wave diffraction by a wedge ‐spectral domain approach. IEEE Transactions on Antenna and PropagationAP‐32, 20–29.
   [Google Scholar]
7. Fornberg, B.1988. The pseudospectral method: Accurate representation of interfaces in elastic wave calculations. Geophysics53, 625–637.
   [Google Scholar]
8. If, F., Berg, P. and Skovgaard, O.1990. Regular and staggered grids in spectral approximations of the elastic wave equation. 60th seg meeting, San Francisco , Expanded Abstracts, 992–995.
   [Google Scholar]
9. Jakobsen, K.R.1984. An alternative diffraction coefficient for the wedge. IEEE Transactions on Antenna and PropagationAP‐32, 175–177.
   [Google Scholar]
10. Kaminetzky, L. and Keller, J.B.1975. Diffraction by edges and vertices of interfaces. SIAM Journal of Applied Mathematics28, 839–856.
    [Google Scholar]
11. Kanwal, R.P.1971. Linear Integral Equations . Theory and Technique, pp. 116–118. Academic Press, Inc.
    [Google Scholar]
12. Keller, J.B.1962. Geometrical theory of diffraction. Journal of the Optical Society of America52, 116–130.
    [Google Scholar]
13. Keller, J.B. and Blank, A.1951. Diffraction and reflection of pulses by wedges and corners. Communications on Pure and Applied Mathematics4, 75–95.
    [Google Scholar]
14. Kosloff, D., Kessler, D., Filho, A.O., Tessmer, E., Behle, A. and Strahilevitz, R.1990. Solution of the equations of dynamic elasticity by a Chebyshev spectral method. Geophysics55, 734–748.
    [Google Scholar]
15. Kraut, E.A. and Lehman, F.W.1969. Diffraction of electromagnetic waves by a right‐angle dielectric wedge. Journal of Mathematical Physics10, 1340–1348.
    [Google Scholar]
16. Latz, N.1973. Electromagnetic diffraction by imperfectly dielectric wedges. Journal of Mathematical Analysis and Applications43, 373–387.
    [Google Scholar]
17. Mohsen, A.1982. On the asymptotic diffraction of scalar waves by a wedge. Journal of Physics A: Mathematics and General15, 1965–1969.
    [Google Scholar]
18. Morse, P.M. and Feshbach, H.1953. Methods of Theoretical Physics, pp. 823–824. McGraw‐Hill Book Co.
    [Google Scholar]
19. Morse, P.M. and Ingard, K.U.1968. Theoretical Acoustics, pp. 259–263. McGraw‐Hill Book Co.
    [Google Scholar]
20. Nielsen, P., Berg, P., If, F. and Skovgaard, O.1992. Using the pseudospectral method on curved grids for seismic forward modelling. 54th eaeg meeting, Paris , Expanded Abstracts, 150–151.
    [Google Scholar]
21. Pierce, A.D. and Hadden, W.J.1978. Plane wave diffraction by a wedge with finite impedance. Journal of the Acoustic Society of America63, 17–27.
    [Google Scholar]
22. Reshef, M., Kosloff, D., Edwards, M. and Hsiung, C.1988. Three‐dimensional elastic modelling by the Fourier method. Geophysics53, 1184–1193.
    [Google Scholar]
23. Senior, T.B.A.1959. Diffraction by an imperfectly conducting wedge. Communications on Pure and Applied Mathematics12, 337–372.
    [Google Scholar]
24. Seriani, G. and Priolo, E.1992. Isoparametric Chebyshev spectral element method for acoustic wave simulation. 54th eaeg meeting, Paris , Expanded Abstracts, 148–149.
    [Google Scholar]
25. Sloan, I.H.1981. Quadrature methods for integral equations of the second kind over infinite intervals. Mathematics of Computation36, 511–523.
    [Google Scholar]
26. Sloan, I.H. and Spence, A.1986. Integral equations on the half‐line: a modified finite‐section approximation. Mathematics of Computation47, 589–595.
    [Google Scholar]
27. Sneddon, I.N.1972. The Use of Integral Transforms, pp. 76–79. McGraw‐Hill Book Co.
    [Google Scholar]
28. Squazzero, P., Kindelan, M. and Kamel, A.1990. Dispersion‐bounded numerical integration of the elastodynamic equations with cost‐effective staggered schemes. Computer Methods in Applied Mechanics and Engineering80, 165–172.
    [Google Scholar]
29. Tal‐Ezer, H., Kosloff, D. and Koren, Z.1987. An accurate scheme for seismic forward modelling. Geophysical Prospecting35, 479–490.
    [Google Scholar]
30. The Numerical Algorithm Group Ltd.
    The Numerical Algorithm Group Ltd.1991. The NAG Fortran Library Manual Mark 15, Ch. F03–F04. The Numerical Algorithm Group Ltd.
    [Google Scholar]