Skip to main content
Log in

Reflection of pulses in a nonlinear random medium with strong fluctuations

  • Electrodynamics and Wave Propagation
  • Published:
Journal of Communications Technology and Electronics Aims and scope Submit manuscript

Abstract

The reflection of delta pulses from a strongly fluctuating nonlinear random medium is studied. With the use of the equation of a backscattered field obtained by the invariant imbedding method, a numerical algorithm is developed for solving the one-dimensional direct and inverse problems of wave reflection in time representation. The solutions obtained can be used for investigation of the fluctuation-related features of reflections occurring in nonlinear random media and in the design of remote sensing methods. The conditions that give rise to wave stochastic resonance and dynamic effects in nonlinear random reflections are considered.

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

Access this article

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

Instant access to the full article PDF.

Similar content being viewed by others

References

  1. A. Yu. Bubnovskii and B. M. Shevtsov, Izv. Vyssh. Uchebn. Zaved., Radiofiz. 44, 847 (2001).

    Google Scholar 

  2. A. Yu. Bubnovskii and B. M. Shevtsov, Izv. Vyssh. Uchebn. Zaved., Radiofiz. 45, 766 (2002).

    Google Scholar 

  3. A. Yu. Bubnovskii, A. P. Lysenko, and B. M. Shevtsov, Izv. Vyssh. Uchebn. Zaved., Radiofiz. 46, 245 (2003).

    Google Scholar 

  4. A. Yu. Bubnovskii, I. L. Kirilyuk, and B. M. Shevtsov, Izv. Akad. Nauk, Fiz. Atmos. Okeana, 39, 422 (2003).

    Google Scholar 

  5. V. I. Klyatskin and D. Gurarie, Usp. Fiz. Nauk 169, 171 (1999) [Phys. Usp. 42, 165 (1999)].

    Article  Google Scholar 

  6. A. A. Lukk, A. V. Deshcherskii, A. Ya. Sidorin, and I. A. Sidorin, Variations of Geophysical Fields as Manifestations of Deterministic Chaos in Fractal Medium (Ob”edinennyi Inst. Fiz. Zemli RAN, Moscow, 1996) [in Russian].

    Google Scholar 

  7. A. A. Potapov, Fractals in Radiophysics and Radar (Logos, Moscow, 2002) [in Russian].

    Google Scholar 

  8. V. S. Anishchenko, T. E. Vadivasova, and V. V. Astakhov, Nonlinear Dynamics of Chaotic and Stochastic Systems (Saratov. Univ., Saratov, 1999) [in Russian].

    Google Scholar 

  9. G. G. Malinetskii and A. B. Potapov, Modern Problems of Nonlinear Dynamics (Editorial URSS, Moscow, 2000) [in Russian].

    Google Scholar 

  10. A. A. Samarskii, The Theory of Difference Schemes (Nauka, Moscow, 1977; Dekker, New York, 2001).

    Google Scholar 

  11. J. P. Corones, M. E. Davison, and R. J. Krueger, J. Acoust. Soc. Am. 74, 1535 (1983).

    Article  MathSciNet  MATH  Google Scholar 

Download references

Authors

Additional information

Original Russian Text © A.P. Lysenko, B.M. Shevtsov, 2006, published in Radiotekhnika i Elektronika, 2006, Vol. 51, No. 5, pp. 543–551.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Lysenko, A.P., Shevtsov, B.M. Reflection of pulses in a nonlinear random medium with strong fluctuations. J. Commun. Technol. Electron. 51, 508–516 (2006). https://doi.org/10.1134/S1064226906050044

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1134/S1064226906050044

PACS numbers

Navigation