RSS feeds
РусскийEnglish
Issue 11, 2024
Volume year page
Issues Authors PACS Subscription For authors

Issues

 / 

1992

 / 

March

←  →

Methodological notes


Statistical and dynamic localization of plane waves in randomly layered media

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

This article presents a detailed discussion of the problem of the localization and various methods of describing it on the basis of plane waves multiply scattered in randomly layered media. It is noted that the field of localized waves has a complicated structure, with sharp peaks and extended ``dark'' regions, where the intensity of the wave is small. It is shown that because of this complicated structure the wave field in a randomly layered medium, the dynamic and statistical characteristics of the wave behave in fundamentally different ways. For example, the statistical moments of the intensity of the wave increase exponentially into the interior of the medium, while the energy of the wave penetrating into randomly inhomogeneous medium can be finite with unity probability. The concept of a majorant curve and of an isoprobability curve, helpful for understanding the phenomenon of localization, are introduced. Also taken into account is the effect of a small regular absorption on the statistical and dynamic properties of the wave, and the localization of space-time pulses in a randomly layered medium is also studied.

Fulltext pdf (926 KB)
Fulltext is also available at DOI: 10.1070/PU1992v035n03ABEH002224
PACS: 42.25.Dd
DOI: 10.1070/PU1992v035n03ABEH002224
URL: https://ufn.ru/en/articles/1992/3/d/
Citation: Klyatskin V I, Saichev A I "Statistical and dynamic localization of plane waves in randomly layered media" Sov. Phys. Usp. 35 (3) 231–247 (1992)
BibTexBibNote ® (generic)BibNote ® (RIS)MedlineRefWorks

Оригинал: Кляцкин В И, Саичев А И «Статистическая и динамическая локализация плоских волн в хаотически слоистых средах» УФН 162 (3) 161–194 (1992); DOI: 10.3367/UFNr.0162.199203d.0161

References (13) Cited by (56) ↓ Similar articles (20)

  1. Razo-López L A, Fernández-Marín A A et al Sci Rep 10 (1) (2020)
  2. Gallet B Phys. Rev. E 95 (5) (2017)
  3. Grigor’ev G I, Zaboronkova T M, Kogan L P J. Commun. Technol. Electron. 62 1091 (2017)
  4. Klyatskin V I Uspekhi Fizicheskikh Nauk 186 75 (2016)
  5. Texier Ch Physica E: Low-dimensional Systems And Nanostructures 82 16 (2016)
  6. Klyatskin V I, Koshel K V Phys. Rev. E 91 (6) (2015)
  7. Neupane P, Yamilov A G Phys. Rev. B 92 (1) (2015)
  8. Klyatskin V I, Klyatskin V I Teoreticheskaya Matematicheskaya Fizika 176 494 (2013) [Klyatskin V I Theor Math Phys 176 1252 (2013)]
  9. Sysoeva E V, Gusakov E Z, Heuraux S Plasma Phys. Control. Fusion 55 115001 (2013)
  10. Klyatskin V I Russ. J. Math. Phys. 20 295 (2013)
  11. Klyatskin V I Uspekhi Fizicheskikh Nauk 181 457 (2011)
  12. Klyatskin V I Lectures on Dynamics of Stochastic Systems (2011) p. xi
  13. Vlasova O K, Prikhod’ko L I Moscow Univ. Phys. 66 142 (2011)
  14. Lectures on Dynamics of Stochastic Systems (2011) p. 393
  15. Fialko O, Ziegler K Journal Of Quantitative Spectroscopy And Radiative Transfer 109 2329 (2008)
  16. Klyatskin V I Uspekhi Fizicheskikh Nauk 178 419 (2008)
  17. Dynamics of Stochastic Systems (2005) p. 200
  18. Stochastic Equations through the Eye of the Physicist (2005) p. 513
  19. Ikeda N, Ochiai N Wave Motion 42 17 (2005)
  20. Vinogradov A P, Merzlikin A M Dokl. Phys. 49 491 (2004)
  21. GULIN OLEG E, YAROSHCHUK IGOR O J. Comp. Acous. 12 23 (2004)
  22. Flach S, Miroshnichenko A E, Fistul M V 13 596 (2003)
  23. Klyatskin V I Uspekhi Fizicheskikh Nauk 173 689 (2003)
  24. Vinogradov A P, Merzlikin A M Physica B: Condensed Matter 338 126 (2003)
  25. Gulin O E, Yaroshchuk I O Waves In Random Media 11 413 (2001)
  26. Titov M, Brouwer P W et al Phys. Rev. B 63 (23) (2001)
  27. Beenakker C W J Photonic Crystals and Light Localization in the 21st Century Chapter 34 (2001) p. 489
  28. Gulin O É, Yaroshchuk I O Acoust. Phys. 47 677 (2001)
  29. Gribova E Z, Zhukova I S et al Radiophys Quantum Electron 43 411 (2000)
  30. Zhukova I S, Koshelev V N, Saichev A I Radiophys Quantum Electron 43 324 (2000)
  31. Zhukova I S, Saichev A I Journal Of Applied Mathematics And Mechanics 64 601 (2000)
  32. Klyatskin V I, Gurarie D Uspekhi Fizicheskikh Nauk 169 171 (1999)
  33. Beenakker C W J, van Bemmel K J H, Brouwer P W Phys. Rev. E 60 R6313 (1999)
  34. Gulin O E, Yaroshchuk I O Radiophys Quantum Electron 42 342 (1999)
  35. Saichev A I, Zhukova I S Lecture Notes In Physics Vol. Chaos, Kinetics and Nonlinear Dynamics in Fluids and PlasmasThe arising and evolution of the passive tracer clusters in compressible random media511 Chapter 16 (1998) p. 353
  36. Klyatskin V I, Gryanik N V, Gurarie D Wave Motion 28 333 (1998)
  37. Klyatskin V, Gurarie D The IMA Volumes In Mathematics And Its Applications Vol. Stochastic Models in GeosystemsRandom Topography in Geophysical Models85 Chapter 9 (1997) p. 149
  38. Klyatskin V I, Woyczynski W A The IMA Volumes In Mathematics And Its Applications Vol. Stochastic Models in GeosystemsDynamical and Statistical Characteristics of Geophysical Fields and Waves and Related Boundary-Value Problems85 Chapter 10 (1997) p. 171
  39. Zhukova I S, Saichev A I Radiophys Quantum Electron 40 682 (1997)
  40. Klyatskin V I, Saichev A I J. Exp. Theor. Phys. 84 716 (1997)
  41. Klyatskin V I, Yakushkin I G J. Exp. Theor. Phys. 84 1114 (1997)
  42. Gryanik N V, Klyatskin V I J. Exp. Theor. Phys. 84 1106 (1997)
  43. Saichev A I, Woyczynski W A The IMA Volumes In Mathematics And Its Applications Vol. Stochastic Models in GeosystemsProbability Distributions of Passive Tracers in Randomly Moving Media85 Chapter 17 (1997) p. 359
  44. Zhukova I S, Saichev A I Journal Of Applied Mathematics And Mechanics 61 765 (1997)
  45. Samelsohn G, Mazar R Phys. Rev. E 56 6095 (1997)
  46. Fokin A G Phys.-Usp. 39 1009 (1996)
  47. Klyatskin V I, Woyczynski W A, Gurarie D Stochastic Modelling in Physical Oceanography Chapter 9 (1996) p. 221
  48. Klyatskin V I, Woyczynski W A, Gurarie D J Stat Phys 84 797 (1996)
  49. Gribova E Z, Saichev A I Trans Black Sea Region Symposium on Applied Electromagnetism, (1996) p. ANPR_11
  50. Zhukova I S, Saichev A I Radiophys Quantum Electron 39 398 (1996)
  51. Shapiro S A, Hubral P, Ursin B 126 184 (1996)
  52. Freilikher V, Pustilnik M, Yurkevich I Found Phys 26 701 (1996)
  53. Filinov V S Waves In Random Media 5 277 (1995)
  54. Klyatskin V I Progress In Optics Vol. 33 (1994) p. 1
  55. Freilikher V, Pustilnik M, Yurkevich I Phys. Rev. B 50 6017 (1994)
  56. Gurbatov S N, Saichev A I 3 333 (1993)
© 1918–2024 Uspekhi Fizicheskikh Nauk
Email: ufn@ufn.ru Editorial office contacts About the journal Terms and conditions