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.
Similar content being viewed by others
References
A. Yu. Bubnovskii and B. M. Shevtsov, Izv. Vyssh. Uchebn. Zaved., Radiofiz. 44, 847 (2001).
A. Yu. Bubnovskii and B. M. Shevtsov, Izv. Vyssh. Uchebn. Zaved., Radiofiz. 45, 766 (2002).
A. Yu. Bubnovskii, A. P. Lysenko, and B. M. Shevtsov, Izv. Vyssh. Uchebn. Zaved., Radiofiz. 46, 245 (2003).
A. Yu. Bubnovskii, I. L. Kirilyuk, and B. M. Shevtsov, Izv. Akad. Nauk, Fiz. Atmos. Okeana, 39, 422 (2003).
V. I. Klyatskin and D. Gurarie, Usp. Fiz. Nauk 169, 171 (1999) [Phys. Usp. 42, 165 (1999)].
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].
A. A. Potapov, Fractals in Radiophysics and Radar (Logos, Moscow, 2002) [in Russian].
V. S. Anishchenko, T. E. Vadivasova, and V. V. Astakhov, Nonlinear Dynamics of Chaotic and Stochastic Systems (Saratov. Univ., Saratov, 1999) [in Russian].
G. G. Malinetskii and A. B. Potapov, Modern Problems of Nonlinear Dynamics (Editorial URSS, Moscow, 2000) [in Russian].
A. A. Samarskii, The Theory of Difference Schemes (Nauka, Moscow, 1977; Dekker, New York, 2001).
J. P. Corones, M. E. Davison, and R. J. Krueger, J. Acoust. Soc. Am. 74, 1535 (1983).
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
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
Received:
Issue Date:
DOI: https://doi.org/10.1134/S1064226906050044