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Reflections of Nonstationary Signals in Media with Intense Fluctuations of Irregularities

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Abstract

With the help of the invariant embedding method, we obtain an equation for the kernel of the backscattering operator and find numerically its solutions corresponding to the response of the medium to an incident delta-impulse. The statistical characteristics of reflections of such impulses are determined in the case of intense fluctuations of irregularities given the logarithmic derivative of the medium impedance is a continuous stationary centered Gaussian process with the unit variance and a finite correlation radius. We study the temporal evolution of the statistical distribution of reflected signals. Examples of reflections for various shapes of incident impulses are discussed.

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REFERENCES

  1. O. É. Gulin and I. O. Yaroshchuk, Izv. Vyssh. Uchebn. Zaved., Radiofiz., 42, No. 4, 383 (1999).

    Google Scholar 

  2. M. Asch, W. Kohler, G. Papanicolaou, M. Postel, P. Sheng, and B. White, Wave Motion, 12, 429 (1990).

    Google Scholar 

  3. M. Asch, W. Kohler, G. Papanicolaou, M. Postel, and B. White, SIAM Review, 33, No. 4, 519 (1991).

    Google Scholar 

  4. M. Asch, W. Kohler, G. Papanicolaou, M. Postel, and B. White, Waves in Random Media, 6, 293 (1996).

    Google Scholar 

  5. A. Yu. Bubnovsky and B. M. Shevtsov, Izv. Vyssh. Uchebn. Zaved., Radiofiz., 42, No. 12, 1153 (1999).

    Google Scholar 

  6. A. M. Bruckstein, B. C. Levy, and T. Kailath, Siam J. Appl. Math., 45, No. 2 (1985).

  7. R. Burridge, Wave Motion, 2, 305 (1980).

    Google Scholar 

  8. J. Claerbout, Fundamentals of Geophysical Data Processing, Blackwell Scientific Publications (1985), http://sepwww.stanford.edu/sep/prof/fgdp.

  9. A. G. Bugrov and V. I. Klyatskin, Izv. Vyssh. Uchebn. Zaved., Radiofiz., 32, No. 3, 321 (1989).

    Google Scholar 

  10. V. I. Klyatskin, K. V. Koshel', and B. M. Shevtsov, Izv. Rossiisk. Akad. Nauk, Fiz. Atmos. Okeana, 31, No. 4, 517 (1995).

    Google Scholar 

  11. V. I. Klyatskin, K. V. Koshel', and B. M. Shevtsov, Radio Sci., 30, No. 6, 1689 (1995).

    Google Scholar 

  12. G. Kristensson and R. J. Krueger, J. Math. Phys., 27, No. 6, 1667 (1986).

    Google Scholar 

  13. A. A. Samarsky, Theory of Difference Schemes [in Russian], Nauka, Moscow (1977).

    Google Scholar 

  14. S. M. Rytov, Introduction to Statistical Radiophysics, Pt. 1 [in Russian], Nauka, Moscow (1976).

    Google Scholar 

  15. V. I. Klyatskin, Embedding Method in Wave Propagation Theory [in Russian], Nauka, Moscow (1986).

    Google Scholar 

  16. B. M. Shevtsov, Izv. Vyssh. Uchebn. Zaved., Radiofiz., 25, No. 9, 1032 (1982).

    Google Scholar 

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Bubnovsky, A.Y., Shevtsov, B.M. Reflections of Nonstationary Signals in Media with Intense Fluctuations of Irregularities. Radiophysics and Quantum Electronics 44, 780–792 (2001). https://doi.org/10.1023/A:1013764915335

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