Radiophysics and Quantum Electronics

, Volume 56, Issue 4, pp 187–196 | Cite as

Relaxation Time of Artificial Periodic Irregularities of the Ionospheric Plasma and Diffusion in the Inhomogeneous Atmosphere

  • G. I. Grigor’ev
  • N. V. Bakhmet’eva
  • A. V. Tolmacheva
  • E. E. Kalinina
Article

We consider diffusion of the ionospheric-plasma irregularities as applied to the problem of experimental determination of the lower-ionosphere parameters by artificial periodic irregularities of the electron number density. A rigorous solution to the problem of diffusion of one-dimensional plasma irregularities in a weakly ionized medium, whose diffusion coefficient exponentially decreases with the altitude, is obtained. The Green’s function for this problem is found. Three parameters are taken into account in the solution, namely, the size of the region occupied by the irregularities, the size of the irregularities, and a typical spatial scale of the e-fold decrease in the diffusion coefficient. Theoretical relaxation times of the irregularities as functions of these parameters are analyzed. Calculated relaxation times are compared with the times measured in the observation of the artificial periodic irregularities created by the SURA facility. Calculated relaxation times of these irregularities are in good agreement with the observed values.

Keywords

Relaxation Time Periodic Structure Radio Wave Electron Number Density Ionospheric Plasma 
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.

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References

  1. 1.
    V. V. Belikovich, E. A. Benediktov, G. G. Getmantsev, et al., JETP Lett., 22, No. 10, 243 (1975).ADSGoogle Scholar
  2. 2.
    E. A. Benediktov,V. V. Belikovich, A. V.Tolmacheva, and N. V. Bakhmet’eva, Ionospheric Research by Means of Artificial Periodic Irregularities [in Russian], Inst. Appl. Phys., Rus. Acad. Sci., Nizhny Novgorod (1999).Google Scholar
  3. 3.
    A.V. Popov, Yu.N.Cherkashin, and Yu.P. Shankin, in: Study of Ultralong-Distance Propagation of High-Frequency Radio Waves [in Russian], IZMIRAN, Moscow (1975), p. 71.Google Scholar
  4. 4.
    I. M. Vilensky, N. I. Izraileva, A.A.Kapel’zon, et al., in: Proc. of the Geology and Geophysics Institute [in Russian], Nauka, Novosibirsk (1987), No. 685.Google Scholar
  5. 5.
    V. V. Belikovich, E. A. Benediktov, A. V.Tolmacheva, and N. V. Bakhmet’eva, Ionospheric Research by Means of Artificial Periodic Irregularities, Copernicus GmbH, Katlenburg-Lindau (2002).Google Scholar
  6. 6.
    E. A. Benediktov, V. V. Belikovich, N. V. Bakhmet’eva, and A.V.Tolmacheva, Radiophys. Quantum Electron., 45, No. 5, 343 (2002).CrossRefGoogle Scholar
  7. 7.
    N. V. Bakhmet’eva, V. V. Belikovich, L. M.Kagan, et al., Radiophys. Quantum Electron., 48, No. 9, 673 (2005).ADSCrossRefGoogle Scholar
  8. 8.
    V. V. Belikovich, N. V. Bakhmet’eva, E. E. Kalinina, and A. V. Tolmacheva, Radiophys. Quantum Electron., 49, No. 9, 669 (2006).ADSCrossRefGoogle Scholar
  9. 9.
    V. L. Frolov, N.V.Bakhmet’eva, V.V. Belikovich, et al., Phys. Usp., 50, No. 3, 315 (2007).ADSCrossRefGoogle Scholar
  10. 10.
    N. V. Bakhmet’eva, V. V. Belikovich, L. M.Kagan, et al., Vestnik RFFI, No. 3, 8 (2007).Google Scholar
  11. 11.
    A. V. Tolmacheva, V. V. Belikovich, and E. E. Kalinina, Geomagn. Aeron., 49, No. 2, 239 (2009).ADSCrossRefGoogle Scholar
  12. 12.
    N. V. Bakhmet’eva, G. I. Grigor’ev, and A. V. Tolmacheva, Radiophys. Quantum Electron., 53, No. 11, 623 (2010).CrossRefGoogle Scholar
  13. 13.
    T. R. Kaiser, Phil. Mag. Suppl., 2, No. 8, 495 (1953).Google Scholar
  14. 14.
    V. P. Dokuchaev, Izv. Vyssh. Uchebn. Zaved., Radiofiz., 3, No. 1, 50 (1960).Google Scholar
  15. 15.
    A. V. Gurevich, Sov. Phys. JETP, 17, 878 (1963).MathSciNetGoogle Scholar
  16. 16.
    A. V. Gurevich and E. E. Tsedilina, Sov. Phys. Usp., 10. No. 2, 214 (1967).ADSCrossRefGoogle Scholar
  17. 17.
    G. I. Grigor’ev, Geomagn. Aeron., 4, No. 1, 140 (1964).ADSGoogle Scholar
  18. 18.
    B. N. Gershman, Dynamics of the Ionospheric Plasma [in Russian], Nauka, Moscow (1974).Google Scholar
  19. 19.
    N. Sh. Blaunshtein and E. E.Tsedilina, in: Interaction of High-Frequency Radio Waves with the Ionosphere [in Russian], IZMIRAN, Moscow (1982), p. 72.Google Scholar
  20. 20.
  21. 21.
    A. V. Tolmacheva and V. V. Belikovich, Int. J. Geomagn. Aeron., 5, GI1008 (2004), doi: 10.1029/2004GI000061 CrossRefGoogle Scholar
  22. 22.
    V. V. Belikovich, E. A. Benediktov, A. V. Tolmacheva, Izv. Atmos. Oceanic Phys., 38, No. 1, 89 (2002).Google Scholar
  23. 23.
    J. A. Ratcliffe, An Introduction to Ionosphere and Magnetosphere, Cambridge Univ. Press (1972).Google Scholar
  24. 24.
    M. Abramowitz and I. M. Stegun, eds., Handbook of Special Functions with Formulas, Graphs, and Mathematical Tables, Dover, New York (1972).Google Scholar
  25. 25.
    H. Bateman and A. Erdelyi, Tables of Integral Transforms, Vol. 1, McGraw-Hill, New York (1954).Google Scholar
  26. 26.
    E. Kamke, Handbook of Ordinary Differential Equations [Russian translation], Inostrannaya Literatura, Moscow (1950).Google Scholar
  27. 27.
    G. Karslow and D. Eger, Conduction of Heat in Solids, Oxford Clarendon Press (1959).Google Scholar
  28. 28.
    A. V. Lykov, Theory of Heat Conduction [in Russian], Vysshaya Shkola, Moscow (1966).Google Scholar

Copyright information

© Springer Science+Business Media New York 2013

Authors and Affiliations

  • G. I. Grigor’ev
    • 1
  • N. V. Bakhmet’eva
    • 1
  • A. V. Tolmacheva
    • 1
  • E. E. Kalinina
    • 1
  1. 1.Radiophysical Research InstituteNizhny NovgorodRussia

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