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Electromagnetic wave propagation in a randomly inhomogeneous medium as a problem in mathematical statistical physics


A M Obukhov Institute of Atmospheric Physics, Russian Academy of Sciences, Pyzhevskii per. 3, Moscow, 109017, Russian Federation

The major stages of how mathematical statistical physics has been used in the last fifty years to describe random medium electromagnetic wave (light) propagation are outlined. The statistical description is discussed either in terms of the scalar parabolic equation (quasioptical approximation) — when the governing parameters are needed, or by writing its functional integral solution — if the caustic structure of the wave field is to be analyzed.

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Fulltext is also available at DOI: 10.1070/PU2004v047n02ABEH001685
PACS: 02.50.Ey, 41.20.Jb, 42.25.Dd (all)
DOI: 10.1070/PU2004v047n02ABEH001685
URL: https://ufn.ru/en/articles/2004/2/e/
000222400000005
2004PhyU...47..169K
Citation: Klyatskin V I "Electromagnetic wave propagation in a randomly inhomogeneous medium as a problem in mathematical statistical physics" Phys. Usp. 47 169–186 (2004)
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Оригинал: Кляцкин В И «Распространение электромагнитных волн в случайно-неоднородной среде как задача статистической математической физики» УФН 174 177–195 (2004); DOI: 10.3367/UFNr.0174.200402e.0177

References (44) ↓ Cited by (14) Similar articles (20)

  1. Obukhov A M Izv. AN SSSR. Ser. Geofiz. (2) 155 (1953); Obukhov A M Turbulentnost’ i Dinamika Atmosfery (L.: Gidrometizdat, 1988)
  2. Gracheva M E, Gurvich A S Izv. Vuzov. Radiofiz. 8 717 (1965)
  3. Gracheva M E i dr. Izv. Vuzov. Radiofiz. 17 105 (1974)
  4. Tatarskii V I Rasprostranenie Voln v Turbulentnoi Atmosfere (M.: Nauka, 1967)
  5. Klyatskin V I Statisticheskoe Opisanie Dinamicheskikh Sistem s Fluktuiruyushchimi Parametrami (M.: Nauka, 1975); Klyatskin V I Stokhasticheskie Uravneniya i Volny v Sluchaino-neodnorodnykh Sredakh (M.: Nauka, 1980); Klyatskin V I Ondes Et Équations Stochastiques Dans Les Milieus Aléatoirement Non Homogènes (Besançon - Cedex: Les Éditions de Physique, 1985)
  6. Chernov L A Volny v Sluchaino-neodnorodnykh Sredakh (M.: Nauka, 1975)
  7. Gurvich A S i dr. Rasprostranenie Lazernogo Izlucheniya v Turbulentnoi Atmosfere (M.: Nauka, 1976)
  8. Rytov S M, Kravtsov Yu A, Tatarskii V I Vvedenie v Statisticheskuyu Radiofiziku T. 2 (M.: Nauka, 1978)
  9. Ishimaru A Rasprostranenie i Rasseyanie Voln v Sluchaino-neodnorodnykh Sredakh T. 1, 2 (M.: Mir, 1981)
  10. Gochelashvili K S, Shishov V I Volny v Sluchaino-neodnorodnykh Sredakh (Itogi Nauki i Tekhniki. Ser. Radiofizika. Fizicheskie Osnovy Elektroniki. Akustika, T. 1, Pod Red. N D Ustinova) (M.: Izd-vo VINITI, 1981)
  11. Furutsu K Random Media And Boundaries: Unified Theory, Two-Scale Method, And Applications (Berlin: Springer-Verlag, 1993)
  12. Manning R M Stochastic Electromagnetic Image Propagation And Adaptive Compensation (New York: McGraw-Hill, 1993)
  13. Klyatskin V I Stokhasticheskie Uravneniya Glazami Fizika. Osnovnye Polozheniya, Tochnye Rezul’taty i Asimptoticheskie Priblizheniya (M.: Fizmatlit, 2001)
  14. Tatarskii V I, Zavorotny V U Progress In Optics Vol. XVIII (Ed. E Wolf) (Amsterdam: North-Holland, 1980) p. 204
  15. Kravtsov Yu A Rep. Prog. Phys. 55 37 (1992)
  16. Charnotskii M I Progress In Optics Vol. XXXII (Ed. E Wolf) (Amsterdam: North-Holland, 1993) p. 203
  17. Tatarskii V I et al. Wave Propagation In Random Media (Scintillation, Eds V I Tatarskii, A Ishimaru, V U Zavorotny) (Bellingham, Wash.: SPIE, 1993) p. 383
  18. Beran M J, Oz-Vogt J Progress In Optics Vol. XXXIII (Ed. E Wolf) (Amsterdam: North-Holland, 1994) p. 321
  19. Leontovich M, Fok V A Zh. Eksp. Teor. Fiz. 16 557 (1946)
  20. Rytov S M Izv. AN SSSR. Ser. Fiz. 2 223 (1937)
  21. Klyatskin V I, Tatarskii V I Zh. Eksp. Teor. Fiz. 58 624 (1970)
  22. Dashen R J. Math. Phys. 20 894 (1979); Dashen R Opt. Lett. 9 110 (1984)
  23. Tatarskii V I Zh. Eksp. Teor. Fiz. 56 2106 (1969); Tatarskii V I Waves Random Media 4 511 (1994)
  24. Klyatskin V I Zh. Eksp. Teor. Fiz. 57 952 (1969)
  25. Zavorotnyi V U, Klyatskin V I, Tatarskii V I Zh. Eksp. Teor. Fiz. 73 481 (1977)
  26. Klyatskin V I, Yakushkin I G Zh. Eksp. Teor. Fiz. 111 2044 (1997)
  27. Kravtsov Yu A, Saichev A I Usp. Fiz. Nauk 137 501 (1982); Kravtsov Yu A, Saichev A I Sov. Phys. Usp. 25 494 (1982); Kravtsov Yu A, Saichev A I J. Opt. Soc. Am. A 2 2100 (1985)
  28. Barabanenkov Yu N et al. Progress In Optics Vol. XXIX (Ed. E Wolf) (Amsterdam: North-Holland, 1991) p. 67
  29. Tatarskii V I Izv. Vuzov. Radiofiz. 10 1762 (1967)
  30. Kravtsov Yu A Izv. Vuzov. Radiofiz. 13 281 (1970)
  31. Klyatskin V I Metod Pogruzheniya v Teorii Rasprostraneniya Voln (M.: Nauka, 1986); Klyatskin V I Progress In Optics Vol. XXXIII (Ed. E Wolf) (Amsterdam: North-Holland, 1994) p. 1; Klyatskin V I Dinamika Stokhasticheskikh Sistem (M.: Fizmatlit, 2002)
  32. Malakhov A N, Saichev A I Izv. Vuzov. Radiofiz. 22 1324 (1979)
  33. Klyatskin V I, Saichev A I Zh. Eksp. Teor. Fiz. 111 1297 (1997)
  34. Klyatskin V I, Gurarii D Usp. Fiz. Nauk 169 171 (1999); Klyatskin V I,Gurarie D Phys. Usp. 42 165 (1999)
  35. Klyatskin V I Izv. RAN. Fiz. Atmosfery Okeana 36 177 (2000); Klyatskin V I Usp. Fiz. Nauk 173 689 (2003); Klyatskin V I Phys. Usp. 46 667 (2003)
  36. Gurvich A S, Kallistratova M A, Martvel’ F E Izv. Vuzov. Radiofiz. 20 1020 (1977)
  37. Flatté S M, Wang G-Y, Marin tJ J. Opt. Soc. Am. A 10 2363 (1993)
  38. Flatté S M, Bracher C, Wang G-Y J. Opt. Soc. Am. A 11 2080 (1994)
  39. Saichev A I, Slavinskii M M Izv. Vuzov. Radiofiz. 28 75 (1985)
  40. Virovlyanskii A L, Saichev A I, Slavinskii M M Izv. Vuzov. Radiofiz. 28 1149 (1985)
  41. Furutsu K J. Res. NBS D 67 303 (1963)
  42. Novikov E A Zh. Eksp. Teor. Fiz. 47 1919 (1964)
  43. Donsker M D Proc. Of The Conf. On Theory And Applications Of Analysis In Functional Space (Boston, Mass.: M.I.T. Press, 1964) p. 17; Donsker M D Matematika 11 128 (1967)
  44. Bunkin F V, Gochelashvili K S Izv. Vuzov. Radiofiz. 11 1864 (1968); Bunkin F V, Gochelashvili K S Izv. Vuzov. Radiofiz. 12 875 (1969)
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