Skip to main content
SpringerLink
Log in

Statistical characteristics of waves in random media with space-time inhomogeneities (review)

  • Published:
Radiophysics and Quantum Electronics Aims and scope

Conclusion

Having presented the results one can note that, in recent years, the nonquasistatic theory of waves in media with parameters which fluctuate in space and time has achieved definite results. The effect of various factors on the spectral, energetic and polarization characteristics of waves has been clarified. At the same time, a number of problems remain insufficiently explained. For example, in the works cited above, the attention has been focused mainly on the analysis of correlation functions of a complex field. Other correlation functions (of phase, frequency, etc.) which are also of interest, have not been studied a great deal. The problem of strong fluctuations under a longitudinal propagation if slow waves in flows has not been completely clarified. The role of nonquasistaticity of fluctuations for higher-order moments (in particular, intensity fluctuations) has not been studied. Finally, for applications to realistic situations, it would be desirable to generalize the theory to the case of signals which are initially nonmonochromatic, to the case of statistically nonstationary media and, in addition, to active and nonlinear media.

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

Literature Cited

  1. V. I. Tatarskii, Propagation of Waves in Turbulent Atmosphere [in Russian], Nauka, Moscow (1967).

    Google Scholar 

  2. L. A. Chernov, Waves in Randomly Inhomogeneous Media [in Russian], Nauka, Moscow (1975).

    Google Scholar 

  3. S. M. Rytov, Yu. A. Kravtsov, and V. I. Tatarskii, Introduction to Statistical Radiophysics [in Russian], Part 2, Nauka, Moscow (1978).

    Google Scholar 

  4. A. Isimaru, Propagation and Scattering of Waves in Randomly Inhomogeneous Media [Russian translation], Mir, Moscow (1982).

    Google Scholar 

  5. N. S. Stepanov, Izv. Vyssh. Uchebn. Zaved., Radiofiz.,3, 672 (1960).

    Google Scholar 

  6. V. G. Gavrilenko and N. S. Stepanov, Izv. Vyssh. Uchebn. Zaved., Radiofiz.,16, 69 (1973).

    Google Scholar 

  7. V. G. Gavrilenko and Ya. M. Dorfman, Izv. Vyssh. Uchebn. Zaved., Radiofiz.,15, 249 (1972).

    Google Scholar 

  8. V. G. Gavrilenko and N. S. Stepanov, Radiotekh. Elektron.,18, 1105 (1973).

    Google Scholar 

  9. V. A. Krasil'nikov and V. I. Pavlov, Zh. Eksp. Teor. Fiz.,68, 1797 (1975).

    Google Scholar 

  10. S. N. Gurbatov and A. I. Saichev, Izv. Vyssh. Uchebn. Zaved., Radiofiz.,18, 724 (1975).

    Google Scholar 

  11. S. N. Gurbatov and A. I. Saichev, Izv. Vyssh. Uchebn. Zaved., Radiofiz.,19, 1359 (1976).

    Google Scholar 

  12. V. G. Gavrilenko and N. S. Stepanov, Astron. Zh.,53, 291 (1976).

    Google Scholar 

  13. O. V. Muzychuk, Izv. Vyssh. Uchebn. Zaved., Radiofiz.,19, 1193 (1976).

    Google Scholar 

  14. V. G. Gavrilenko, M. N. Krom, and N. S. Stepanov, Izv. Vyssh. Uchebn. Zaved., Radiofiz.,20, 1181 (1977).

    Google Scholar 

  15. G. A. Begiashvili, V. G. Gavrilenko and G. V. Dzhadieri, Izv. Akad. Nauk ArmSSR,12, 234 (1977).

    Google Scholar 

  16. G. A. Begiashvili, V. G. Gavrilenko, and G. V. Dzhadieri, Izv. Vyssh. Uchebn. Zaved., Radiofiz.,20, 948 (1977).

    Google Scholar 

  17. V. G. Gavrilenko, V. N. Konkov, and N. A. Churilina, Izv. Vyssh. Uchebn. Zaved., Radiofiz.,21, 1537 (1978).

    Google Scholar 

  18. O. V. Muzychuk and A. I. Saichev, Izv. Vyssh. Uchebn. Zaved., Radiofiz.,21, 1185 (1978).

    Google Scholar 

  19. V. G. Gavrilenko, M. N. Krom, and N. S. Stepanov, Izv. Vyssh. Uchebn. Zaved., Radiofiz.,21, 1254 (1978).

    Google Scholar 

  20. V. G. Gavrilenko and G. V. Dzhandieri, Izv. Vyssh. Uchebn. Zaved., Radiofiz.,21, 1211 (1981).

    Google Scholar 

  21. V. G. Gavrilenko and A. A. Semernikov, Proc. Third All-Union Symp. on the Physics of Acoustohydrodynamic Phenomena and Optoacoustics [in Russian], Tashkent (1982), p. 35.

  22. M. N. Krom and N. S. Stepanov, Izv. Vyssh. Uchebn. Zaved., Radiofiz.,26, 1540 (1983).

    Google Scholar 

  23. V. G. Gavrilenko, V. D. Pikulin, and A. A. Semerikov, Izv. Vyssh. Uchebn. Zaved., Radiofiz.,26, 200 (1983).

    Google Scholar 

  24. V. G. Gavrilenko, G. V. Dzhandieri, and V. D. Pkiulin, Soobshch. Akad. Nauk GrSSR,111, 281 (1983).

    Google Scholar 

  25. V. G. Gavrilenko and S. S. Petrov, Izv. Vyssh. Uchebn. Zaved., Radiofiz.,27, 299 (1984).

    Google Scholar 

  26. V. G. Gavrilenko and G. V. Dzhandieri, Soobshch. Akad. Nauk GrSSR,113, 293 (1984).

    Google Scholar 

  27. L. Apresyan, Izv. Vyssh. Uchebn. Zaved., Radiofiz.,28, 880 (1985).

    Google Scholar 

  28. V. G. Gavrilenko and S. S. Petrov, Izv. Vyssh. Uchebn. Zaved., Radiofiz.,28, 600 (1985).

    Google Scholar 

  29. V. G. Gavrilenko, G. V. Dzhandieri, and A. A. Semerikov, Fiz. Plasmy,11, 1193 (1985).

    Google Scholar 

  30. V. G. Gavrilenko and N. S. Stepanov, Proc. Ninth All-Union Symp. on the Diffraction and Propagation of Waves [in Russian], Vol. 2, Tbilisi (1985), p. 69.

    Google Scholar 

  31. V. G. Gavrilenko, S. S. Petrov, and A. A. Semerikov, Izv. Vyssh. Uchebn. Zaved., Radiofiz.,29, 683 (1986).

    Google Scholar 

  32. M. N. Rosebluth and N. Rostoker, Phys. Fluids,5, 776 (1962).

    Google Scholar 

  33. A. I. Akhiezer (ed.), Electrodynamics of Plasma [in Russian], Nauka, Moscow (1974).

    Google Scholar 

  34. L. D. Landau and E. M. Lifshits, Electrodynamics of Continuous Media [in Russian], Nauka, Moscow (1982).

    Google Scholar 

  35. V. M. Kantorovich, Izv. Vyssh. Uchebn. Zaved., Radiofiz.,8, 1244 (1965).

    Google Scholar 

  36. A. N. Barkhatov, V. G. Gavrilenko, A. I. Mart'yanov, and V. D. Pikulin, Proc. Twelfth All-Union Conf. on the Propagation of Radiowaves [in Russian], Vol. 2, Moscow (1978), p. 275.

    Google Scholar 

  37. Yu. A. Ryzhkov, Izv. Vyssh. Uchebn. Zaved., Radiofiz.,4, 975 (1961).

    Google Scholar 

  38. N. S. Stepanov, Izv. Vyssh. Uchebn. Zaved., Radiofiz.,19, 960 (1976).

    Google Scholar 

  39. E. M. Lifshits and L. P. Pitaevskii, Statistical Physics [in Russian], Nauka, Moscow (1978).

    Google Scholar 

  40. H. G. Booker and W. E. Gordon, Proc. IRE,38, 401 (1950).

    Google Scholar 

  41. S. O. Rice, Proc. IRE,41, 274 (1953).

    Google Scholar 

  42. G. S. Gorelik, Radiotekh. Elektron., No. 6, 696 (1956);2, 1227 (1957).

    Google Scholar 

  43. F. Lane, AIAA,23, 1 (1967).

    Google Scholar 

  44. A. J. Favre, J. Appl. Mech., No. 6, 241 (1965).

    Google Scholar 

  45. V. G. Gavrilenko, M. S. Kovner, and A. I. Mart'yanov, Akust. Zh.,23, 706 (1977).

    Google Scholar 

  46. S. N. Gurbatov, A. N. Malakhov, and E. G. Shchemelev, Izv. Vyssh. Uchebn. Zaved., Radiofiz.,28, 202 (1985).

    Google Scholar 

  47. A. N. Bakhratov, V. G. Gavrilenko, and A. I. Martyanov, Akust. Zh.,25, 32 (1979).

    Google Scholar 

  48. L. A. Ostrovskii and N. S. Stepanov, Izv. Vyssh. Uchebn. Zaved., Radiofiz.,14, 489 (1971).

    Google Scholar 

  49. V. L. Ginzburg and V. N. Tsytovich, Zh. Eksp. Teor. Fiz.,65, 1818 (1973).

    Google Scholar 

  50. V. A. Davydov, Izv. Vyssh. Uchebn. Zaved., Radiofiz.,25, 1429 (1982).

    Google Scholar 

  51. Yu. A. Ryzhkov and V. V. Tamoikin, Izv. Vyssh. Uchebn. Zaved., Radiofiz.,13, 356 (1970).

    Google Scholar 

  52. E. A. Kaner, Izv. Vyssh. Uchebn. Zaved., Radiofiz.,2, 827 (1959).

    Google Scholar 

  53. G. V. Jandieri, A. I. Gvelesiani, and G. Sh. Kevanishvili, Physica Scripta,30, 70 (1984).

    Google Scholar 

  54. N. S. Stepanov, Izv. Vyssh. Uchebn. Zaved., Radiofiz.,12, 183 (1969).

    Google Scholar 

  55. Yu. A. Kravtsov, L. A. Ostrovsky, and N. S. Stepanov, Proc. IEEE,62, 1492 (1974).

    Google Scholar 

  56. N. S. Stepanov, Dissertation, Gorkii (1977).

  57. Yu. A. Kravtsov and Yu. I. Orlov, Geometrical Optics of Inhomogeneous Media [in Russian], Nauka, Moscow (1980).

    Google Scholar 

  58. N. A. Armand, Radiotekh. Elektron.,27, 1683 (1982).

    Google Scholar 

  59. E. R. Milyutin, Proc. Tenth All-Union Conf. on the Propagation of Radiowaves [in Russian], Vol. 4, Moscow (1972), p. 225.

    Google Scholar 

  60. N. A. Armand and A. I. Efimov, Radiotekh. Elektron.,29, 1649 (1984).

    Google Scholar 

  61. Yu. A. Kravtsov, Dissertation, Moscow (1968).

  62. V. I. Tatarskii, Izv. Vyssh. Uchebn. Zaved., Radiofiz.,10, 1762 (1967).

    Google Scholar 

  63. G. V. Skrotskii and A. A. Izmet'ev, Dokl. Akad. Nauk SSSR,178, 77 (1968).

    Google Scholar 

  64. N. S. Stepanov and V. G. Gavrilenko, Dokl. Akad. Nauk. SSSR,281, 517 (1971).

    Google Scholar 

  65. V. G. Gavrilenko, G. A. Lupanov, and N. S. Stepanov, URSI Symp. on Electromagnetic Waves (preprints), Moscow (1971).

  66. V. G. Gavrilenko, G. A. Lupanov, and N. S. Stepanov, Izv. Vyssh. Uchebn. Zaved., Radiofiz.,15, 183 (1972).

    Google Scholar 

  67. V. G. Gavrilenko and N. S. Stepanov, Proc. Tenth All-Union Conf. on the Propagation of Radiowaves [in Russian], Vol. 3, Moscow (1972), p. 160.

    Google Scholar 

  68. V. G. Gavrilenko and N. S. Stepanov, Astron. Zh.,53, 291 (1976).

    Google Scholar 

  69. V. I. Tatarskii, Zh. Eksp. Teor. Fiz.,56, 2106 (1969).

    Google Scholar 

  70. L. A. Chernov, Akust. Zh.,15, 594 (1969).

    Google Scholar 

  71. P. M. Bertrand, C. R. Acad. Sci. Paris,272 SB, 833 (1971);273, SB, 718 (1971).

    Google Scholar 

  72. Yu. N. Barabanenkov, Izv. Vyssh. Uchebn. Zaved., Radiofiz.,21, 1177 (1978).

    Google Scholar 

  73. V. E. Ostashev and V. I. Tatarskii, Izv. Vyssh. Uchebn. Zaved., Radiofiz.,22, 170 (1979).

    Google Scholar 

  74. V. I. Shumov, Izv. Vyssh. Uchebn. Zaved., Radiofiz.,19 1507 (1976).

    Google Scholar 

  75. L. M. Erukhimov, Izv. Vyssh. Uchebn. Zaved., Radiofiz.,17, 75 (1974).

    Google Scholar 

  76. M. A. Raevskii, Izv. Akad. Nauk SSSR, Ser. Fiz. Atm. Okeana,19, 639 (1983).

    Google Scholar 

  77. N. G. Armand, and L. P. Polyanin, Izv. Vyssh. Uchebn. Zaved., Radiofiz.,2, 1010 (1959).

    Google Scholar 

  78. N. A. Armand, A. O. Izyumov, and L. V. Sikolov, Radiotekh. Elektron.,16, 1333 (1971).

    Google Scholar 

  79. M. B. Kanevskii, Izv. Vyssh. Uchebn. Zaved., Radiofiz.,15, 1939 (1972).

    Google Scholar 

  80. A. P. Ivanov, Physical Foundations of Hydrooptics [in Russian], Nauka i Tekhnika, Minsk (1975).

    Google Scholar 

  81. L. S. Dolin, Dokl. Akad. Nauk SSSR,260, 1344 (1981); Izv. Akad. Nauk SSSR, Ser. Fiz. Atm. Okeana,19, 400 (1983).

    Google Scholar 

  82. V. G. Gavrilenko, Proc. Fifth All-Union Symp. on the Propagation of Laser Radiation in the Atmosphere [in Russian], Vol. 2, Tomsk (1979), p. 140.

    Google Scholar 

  83. V. G. Gavrilenko and V. V. Tomoikin, Izv. Vyssh. Uchebn. Zaved., Radiofiz.,23, 739 (1980).

    Google Scholar 

  84. V. G. Gavrilenko and S. S. Petrov, Izv. Vyssh. Uchebn. Zaved., Radiofiz.,28, 1408 (1985).

    Google Scholar 

  85. L. A. Vainshtein, Usp. Fiz. Nauk,118, 339 (1976).

    Google Scholar 

Download references

Authors
  1. V. G. Gavrilenko
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. N. S. Stepanov
    View author publications

    You can also search for this author in PubMed Google Scholar

Additional information

Gorkii State University. Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Radiofizika, Vol. 30, No. 1, pp. 3–35, January, 1987.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Gavrilenko, V.G., Stepanov, N.S. Statistical characteristics of waves in random media with space-time inhomogeneities (review). Radiophys Quantum Electron 30, 1–29 (1987). https://doi.org/10.1007/BF01034070

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01034070

Keywords

Search

Navigation