Skip to main content
SpringerLink
Log in

The Influence of the Initial-Signal Duration on Nonstationary Reflections in a Random Medium

  • Published:
Radiophysics and Quantum Electronics Aims and scope

Abstract

Using the invariant imbedding method, we study numerically the statistical characteristics of backscattering of plane-wave pulses incident normally on a random one-dimensional medium. The local reflection coefficient of the medium is simulated by a centered Gaussian process with an exponential correlation function. We consider the time dependences of the average intensity and the kurtosis coefficient of reflections for various durations and carrier frequencies of the initial signal. It is shown that the attenuation and fluctuations of reflections increase with the initial-signal duration normalized to the time scale of the medium irregularities and depend on the signal carrier. Numerical results for the average intensity are compared with previously obtained analytical solutions. We discuss the appearance conditions of a wave stochastic resonance in nonstationary reflections.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

REFERENCES

  1. A. Yu. Bubnovsky and B. M. Shevtsov, Radiophys. Quantum Electron., 44, 780 (2001).

    Google Scholar 

  2. A. Yu. Bubnovsky and B. M. Shevtsov, Radiophys. Quantum Electron., 45 (2002) [in press].

  3. B. M. Shevtsov, Radiophys. Quantum Electron., 25, 742 (1982).

    Google Scholar 

  4. B. S. Abramovich and S. N. Gurbatov, Radiophys. Quantum Electron., 23, 305 (1980).

    Google Scholar 

  5. S. N. Aristov and S. N. Gurbatov, Radiophys. Quantum Electron., 24, 655 (1981).

    Google Scholar 

  6. R. Burridge, G. Papanicolaou, P. Sheng, et al., SIAM J. Appl. Math., 49, 582 (1989).

    Google Scholar 

  7. V. I. Klyatskin and A. I. Saichev, Usp. Fiz. Nauk, 162, 161 (1992).

    Google Scholar 

  8. M. Asch, W. Kohler, G. Papanicolaou, et al., Waves in Random Media, 6, 293 (1996).

    Google Scholar 

  9. O. É. Gulin and I. O. Yaroshchuk, Radiophys. Quantum Electron., 42, 342 (1999).

    Google Scholar 

  10. V. I. Klyatskin and D. Gurarii, Usp. Fiz. Nauk, 169, 171 (1999).

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. V. I. Ilyichev Pacific Oceanological Institute, Far-Eastern Branch of the Russian Academy of Sciences, Vladivostok, Russia

    A. Yu. Bubnovsky & B. M. Shevtsov

Authors
  1. A. Yu. Bubnovsky
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. B. M. Shevtsov
    View author publications

    You can also search for this author in PubMed Google Scholar

Rights and permissions

Reprints and permissions

About this article

Cite this article

Bubnovsky, A.Y., Shevtsov, B.M. The Influence of the Initial-Signal Duration on Nonstationary Reflections in a Random Medium. Radiophysics and Quantum Electronics 45, 699–705 (2002). https://doi.org/10.1023/A:1021745402005

Download citation

  • Issue Date:

  • DOI: https://doi.org/10.1023/A:1021745402005

Keywords

Search

Navigation