Radiophysics and Quantum Electronics

, Volume 51, Issue 1, pp 20–27 | Cite as

On the fractal structure of small-scale traveling ionospheric disturbances



We present the results of the studies of fractal properties of the small-scale inhomogeneities of traveling ionospheric disturbances in special experiments on radio-raying of the midlatitude ionosphere by signals from orbital satellites in 2004–2006. Along with the conventional correlation processing of the received signals, we performed their multifractal analysis, as well as fractal processing of signals by the correlation-integral method. Important information on fractal properties of the small-scale turbulence for the least studied part of the upper-ionosphere inhomogeneity spectrum in the interval of characteristic scales l ≈ 1–10 km is obtained. In particular, it is noted that the fractal structure of these inhomogeneities can be originated from the nonlinear “destruction” of several large-scale sinusoidal structures in a quasistable traveling disturbance. It is also noted that the multifractal spectra of amplitude fluctuations of the received signals obtained in the experiments in different years, in different time of the day, and in different seasons of the observations are quite similar. This is evidence that intermittency is a universal property of the plasma turbulence, at least for the midlatitude upper ionosphere.


Orbital Satellite Ionospheric Plasma Ionospheric Disturbance Multifractal Analysis Multifractal Spectrum 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.


Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.


  1. 1.
    B. N. Gershman, L. M. Erukhimov, and Yu. Ya. Yashin, Wave Phenomena in the Ionosphere and Cosmic Plasmas [in Russian], Nauka, Moscow (1984)Google Scholar
  2. 2.
    B. N. Gershman, É. I. Kazimirovsky, V. D. Kokurov, and T. V. Cherbrovkina, The F-Scattering Phenomena in the Ionosphere [in Russian], Nauka, Moscow (1984).Google Scholar
  3. 3.
    B. V. Troitsky, Response of a Radio-Sounding Signal to Ionospheric Inhomogeneities [in Russian], Nauka, Alma-Ata (1983).Google Scholar
  4. 4.
    É. L. Afraimovich, Interference Methods of Ionosphere Radio-Sounding [in Russian], Nauka, Moscow (1982).Google Scholar
  5. 5.
    V. V. Zosimov and L. M. Lyamshev, Phys.Uspekhi, 38, No. 4, 347 (1995).CrossRefGoogle Scholar
  6. 6.
    M. I. Rabinovich and M. M. Sushchik, Usp. Fiz. Nauk, 160, No. 1, 3 (1990).MathSciNetGoogle Scholar
  7. 7.
    V. A. Alimov, F. I. Vybornov, and A. V. Rakhlin, Radiophys. Quantum Electron., 49, No. 7, 506 (2006).CrossRefADSGoogle Scholar
  8. 8.
    A. A. Potapov, Fractals in Radiophysics and Radio Detection [in Russian], Logos, Moscow (1982).Google Scholar
  9. 9.
    V. G. Akimov, V. V. Zosimov, and A. L. Sushkov, Akust. Zh., 38, No. 2, 375 (1992).Google Scholar
  10. 10.
    B. N. Gershman and A. A. Ponyatov, in: Instabilities and Wave Phenomena in the Ionosphere-Thermosphere System [in Russian], Inst. Appl. Phys. RAS, Gorky (1989), p. 145.Google Scholar

Copyright information

© Springer Science+Business Media, Inc. 2008

Authors and Affiliations

  • V. A. Alimov
    • 1
  • F. I. Vybornov
    • 1
  • A. V. Rakhlin
    • 1
  1. 1.Radiophysical Research InstituteNizhny NovgorodRussia

Personalised recommendations