NON‐NORMAL INCIDENCE STATE‐SPACE MODEL AND LINE SOURCE REFLECTION SYNTHETIC SEISMOGRAM*

References

1. Aminzadeh, F.1979, Non‐normal incidence state space model, PhD dissertation, Department of Electrical Engineering, University of Southern California.
2. Aminzadeh, F. and Mendel, J. M.1979, Computer programs for computation of NNI plane wave seismograms and 2DPSRSS, USC Memorandum (limited circulation).
3. Aminzadeh, F. and Mendel, J. M.1981, Filter design for suppression of surface multiples in non‐normal incidence seismogram, Geophysical Prospecting29, 835–852.
   [Google Scholar]
4. Brekhovskikh, L. M.1960. Waves in Layered Media (English translation by Lieberman), Academic Press, New York .
   [Google Scholar]
5. Dampney, C. N. G.1971. The relationship between two and three dimensional elastic wave propagation, Bulletin of the Seismological Association of America, 61, 1583–1588.
   [Google Scholar]
6. Douze, E. J.1979, Synthetic seismograms at nonvertical incidence, Geophysical Prospecting27, 564–575.
   [Google Scholar]
7. Dunkin, J. W.1965, Computation of modal solutions in layered elastic media at high frequencies, Bulletin of the Seismological Association of America, 55, 335–358.
   [Google Scholar]
8. Ewing, W. M., Jardetzky, W. D. and Press, F.1957, Elastic Waves in Layered Media, McGraw‐Hill Co., New York .
   [Google Scholar]
9. Fertig, J. and Müller, G.1978, Computations of synthetic seismograms for coal seam with reflectivity method, Geophysical Prospecting, 26, 868–883.
   [Google Scholar]
10. Frasier, C. W.1970, Discrete‐time solution of plane P‐SV waves in a plane layered medium, Geophysics35, 197–219.
    [Google Scholar]
11. Gardner, G. H. F., Gardner, L. W. and Gregory, A. R.1974, Formation velocity and density: the diagnostic basis for stratigraphic traps, Geophysics39, 770–780.
    [Google Scholar]
12. Garvin, W. W.1956, Exact transient solution of the buried line source problem, Proceedings of the Physical Society (London)A234, 528–541.
    [Google Scholar]
13. Haskell, N. A.1953, The dispersion of surface waves on multilayered media, Bulletin of the Seismological Association of America, 43, 17–34.
    [Google Scholar]
14. Kennett, B. L. N.1974, Reflection, ray reverberation, Bulletin of the Seismological Association of America, 64, 1685–1696.
    [Google Scholar]
15. Kennett, B. L. N.1979, Theoretical reflection seismograms for elastic media, Geophysical Prospecting27, 301–321.
    [Google Scholar]
16. Mendel, J. M.1978, Bremmer series decomposition of solution to the lossless wave equation in layered media, IEEE Transactions on Geoscience Electronics GE‐16, 103–112.
17. Mendel, J. M. and Kormylo, J.1978, Single‐channel white noise estimators for deconvolution, Geophysics43, 102–124.
    [Google Scholar]
18. Mendel, J. M., Nahi, N. E. and Chan, M.1979, Synthetic seismograms using the state space approach, Geophysics44, 880–895.
    [Google Scholar]
19. Robinson, E. A.1967, Multichannel Time Series Analysis with Digital Computer Programs, Chap. 3, Holden‐Day, San Francisco .
    [Google Scholar]
20. Schultz, P. S. and Claerbout, J. F.1978, Velocity estimation and downward continuation by wavefront synthesis, Geophysics43, 691–714.
    [Google Scholar]
21. Sommerfeld, A.1896, Mathematische Theorie der Diffraction, Mathematische AnnalenXLVII, 327–357.
    [Google Scholar]
22. Watson, G. N.1952, A Treatise on the Theory of Bessel Functions, 2nd edn, University Press, Cambridge .
    [Google Scholar]
23. Wuenschel, P. C.1960, Seismogram synthesis including multiples and transmission coefficients, Geophysics25, 106–129.
    [Google Scholar]