Issues

 / 

1971

 / 

May

  

Reviews of topical problems


Status of the theory of propagation of waves in a Randomly inhomogeneous medium

1. Introduction 3
2. Method of Small Perturbations. First Approximation 6
3. Scattering by Large-scale Inhomogeneities 8
a. Method of Smooth Perturbations 10
b . Parabolic-equation Method 14
c . Markov Approximation 16
d. Distribution Laws of the Fluctuations in the Scattered field 22
4. Theory of Multiple Scattering 23
Bibliography 32

Fulltext pdf (2.6 MB)
Fulltext is also available at DOI: 10.1070/PU1971v013n05ABEH004213
PACS: 94.30.Tz, 94.20.ws, 92.60.Ta, 91.30.Cd, 42.25.Dd, 02.50.Ga (all)
DOI: 10.1070/PU1971v013n05ABEH004213
URL: https://ufn.ru/en/articles/1971/5/a/
Citation: Barabanenkov Yu N, Kravtsov Yu A, Rytov S M, Tamarskiĭ V I "Status of the theory of propagation of waves in a Randomly inhomogeneous medium" Sov. Phys. Usp. 13 551–575 (1971)
BibTexBibNote ® (generic)BibNote ® (RIS)MedlineRefWorks

Оригинал: Барабаненков Ю Н, Кравцов Ю А, Рытов С М, Татарский В И «Состояние теории распространения волн в случайно-неоднородной среде» УФН 102 3–42 (1970); DOI: 10.3367/UFNr.0102.197009a.0003

Cited by (200) ↓ Similar articles (20)

  1. Wei J-P, Huang Y-F et al ApJ 980 114 (2025)
  2. Torabi M, Shahidi R, Gill E W OCEANS 2024 - Halifax, (2024) p. 1
  3. Taufiq A, Ertürk H, Yalçın R A International Communications In Heat And Mass Transfer 154 107386 (2024)
  4. Gaspard D, Sparenberg Je-M Phys. Rev. A 109 (6) (2024)
  5. Knizhin S I, Tinin M V Radiophys Quantum El 65 668 (2023)
  6. Skalskyi V R, Romanyshyn І M et al Mater Sci 57 765 (2022)
  7. Butyrskiy E Theoretical foundations of hydroacoustics and ocean acoustics 1 (2022)
  8. Rogovtsov N N, Anissimov V Ya J Appl Spectrosc 88 1144 (2022)
  9. T S M, Huang W, Gill E W IEEE Trans. Antennas Propagat. 69 1643 (2021)
  10. Xiong Ch, Xu Ji‐Sheng et al Space Weather 18 (2) (2020)
  11. Tinin M V, Matvienko G G, Romanovskii O A 26th International Symposium on Atmospheric and Ocean Optics, Atmospheric Physics, (2020) p. 206
  12. Tinin M, Knizhin S Radio Science 55 (4) (2020)
  13. Tinin M, Knizhin S 2019 International Conference on Electromagnetics in Advanced Applications (ICEAA), (2019) p. 0266
  14. Knizhin S, Tinin M 2019 International Conference on Electromagnetics in Advanced Applications (ICEAA), (2019) p. 0260
  15. Kuzmina M G Springer Series in Light Scattering Springer Series In Light Scattering Chapter 3 (2019) p. 105
  16. Nichols J M, Emerson T H, Rohde G K Journal Of Modern Optics 66 835 (2019)
  17. Baskov R A, Chumak O O Phys. Rev. A 97 (4) (2018)
  18. Tinin M V Advances In Mathematical Physics 2018 1 (2018)
  19. Tinin M Radio Science 51 1350 (2016)
  20. Priyadarshi S Surv Geophys 36 295 (2015)
  21. Chernyakov A L, Kirsh A A Colloid J 76 207 (2014)
  22. Kovalev V I J. Opt. Soc. Am. A 31 907 (2014)
  23. Knizhin S I, Tinin M V 2014 XXXIth URSI General Assembly and Scientific Symposium (URSI GASS), (2014) p. 1
  24. Metzger Ja J, Fleischmann R, Geisel T Phys. Rev. Lett. 112 (20) (2014)
  25. Tinin M V, I K S Radiophys Quantum El 56 413 (2013)
  26. Acoustical Imaging 1 (2012) p. 141
  27. Sato H, Fehler M C, Maeda T Seismic Wave Propagation and Scattering in the Heterogeneous Earth : Second Edition Chapter 1 (2012) p. 1
  28. Tichkule Sh, Muschinski A Appl. Opt. 51 5272 (2012)
  29. Tinin M V Radiophys Quantum El 55 391 (2012)
  30. The Theory of Scintillation with Applications in Remote Sensing 1 (2011) p. 219
  31. Afanasiev N T, Afanasiev A N et al Journal Of Atmospheric And Solar-Terrestrial Physics 72 583 (2010)
  32. Sato H, Fehler M C Advances In Geophysics Vol. Advances in Wave Propagation in Heterogenous EarthSynthesis of Seismogram Envelopes in Heterogeneous Media48 (2007) p. 561
  33. Sato H J. Geophys. Res. 111 (B6) (2006)
  34. Mudaliar S Journal Of Electromagnetic Waves And Applications 20 1739 (2006)
  35. Afanasiev A N, Altyntsev A T Sol Phys 234 151 (2006)
  36. Alimov V A, Rakhlin A V Radiophys Quantum Electron 48 247 (2005)
  37. Margerin L Geophysical Monograph Series Vol. Seismic Earth: Array Analysis of Broadband SeismogramsIntroduction to radiative transfer of seismic waves157 (2005) p. 229
  38. Gherm V E, Zernov N N et al Acta Geodaetica Et Geophysica Hungarica 37 271 (2002)
  39. Vasil’eva I A Uspekhi Fizicheskikh Nauk 171 1317 (2001)
  40. Gherm V E, Zernov N N et al Radio Science 35 1221 (2000)
  41. Bhattacharyya A Radio Science 34 229 (1999)
  42. Loiko V A, Dick V P, Ivanov A P Appl. Opt. 38 2640 (1999)
  43. Cox S J, Reshetnyak V Yu, Sluckin T J J. Phys. D: Appl. Phys. 31 1611 (1998)
  44. Reguigui N M, Dorri-Nowkoorani F et al Journal Of Thermophysics And Heat Transfer 11 400 (1997)
  45. Redmer R Physics Reports 282 35 (1997)
  46. Fokin A G Phys.-Usp. 39 1009 (1996)
  47. Ahmad A, Ahmad M M, Pathan B M Earth Moon Planet 65 247 (1994)
  48. De Angelis U, Forlani A et al 1 236 (1994)
  49. Dougherty R L, Ackerson B J et al Journal Of Quantitative Spectroscopy And Radiative Transfer 52 713 (1994)
  50. Baryshevsky V G, Tikhomirov V V, Shekhtman A G Nuclear Physics B 424 418 (1994)
  51. Fokin A G Radiophys Quantum Electron 37 249 (1994)
  52. de Wolf D A J. Opt. Soc. Am. A 10 1544 (1993)
  53. Kravtsov Yu A Appl. Opt. 32 2681 (1993)
  54. Gozani J Waves In Random Media 3 279 (1993)
  55. Kravtsov Y A Rep. Prog. Phys. 55 39 (1992)
  56. Lin F C, Fiddy M A J. Opt. Soc. Am. A 9 1102 (1992)
  57. Meilanov R P Radiophys Quantum Electron 34 392 (1991)
  58. Filinov V S Radiophys Quantum Electron 34 461 (1991)
  59. Kravtsov Yu A, Orlov Yu I Springer Series On Wave Phenomena Vol. Geometrical Optics of Inhomogeneous MediaApplications of the Ray Methods6 Chapter 3 (1990) p. 101
  60. Kravtsov Yu A, Orlov Yu I Springer Series On Wave Phenomena Vol. Geometrical Optics of Inhomogeneous MediaThe Scalar Wave Field6 Chapter 2 (1990) p. 3
  61. Truman C R, Lee M J 2 851 (1990)
  62. van Faassen E Phys. Rev. A 42 2785 (1990)
  63. Rytov S M, Kravtsov Yu A, Tatarskii V I Principles of Statistical Radiophysics 3 Chapter 2 (1989) p. 50
  64. Rytov S M, Kravtsov Yu A, Tatarskii V I Principles of Statistical Radiophysics 3 Chapter 4 (1989) p. 174
  65. Rytov S M, Kravtsov Yu A, Tatarskii V I Principles of Statistical Radiophysics 4 Chapter 4 (1989) p. 117
  66. Bass F G, Kivshar Yu S et al Physics Reports 157 63 (1988)
  67. Avdeev V B, Demin A V et al Radiophys Quantum Electron 31 907 (1988)
  68. Askar A, Cakmak A S Probabilistic Engineering Mechanics 3 124 (1988)
  69. Holý V, Gabrielyan K T Physica Status Solidi (b) 140 39 (1987)
  70. Wang Zhen-song, Maa Hsiao-fei Phys. Scr. 36 577 (1987)
  71. Shabahang R Applied Mathematics And Computation 21 111 (1987)
  72. Nowack R L, Aki K Geophysical Journal International 87 701 (1986)
  73. Epstein R, Craxton R S Phys. Rev. A 33 1892 (1986)
  74. Codona J L, Creamer D B et al Radio Science 21 929 (1986)
  75. de Wolf D A, Pack Je-K J. Opt. Soc. Am. A 3 532 (1986)
  76. Kuzmin V L Physics Reports 123 365 (1985)
  77. Wenzel A R J. Opt. Soc. Am. A 2 774 (1985)
  78. Tam W G, Zardecki A Int J Infrared Milli Waves 6 249 (1985)
  79. Furutsu K 26 2352 (1985)
  80. Guédel A Journal Of Sound And Vibration 100 285 (1985)
  81. Andrews P L Phys. Rev. Lett. 54 2022 (1985)
  82. Bugnolo D S, Bremmer H Advances In Electronics And Electron Physics Vol. Advances in Electronics and Electron Physics Volume 61The Wigner Distribution Matrix for the Electric Field in a Stochastic Dielectric with Computer Simulation61 (1983) p. 299
  83. Optica Acta: International Journal Of Optics 29 877 (1982)
  84. Kulkarny V A, White B S 25 1770 (1982)
  85. Grella R J. Opt. 13 367 (1982)
  86. Zuev V E Laser Beams in the Atmosphere Chapter 5 (1982) p. 243
  87. Proc. R. Soc. Lond. A 377 73 (1981)
  88. Lukin V P, Pokasov V V Appl. Opt. 20 121 (1981)
  89. Bezverkhnii V A, Gracheva M E et al Radiophys Quantum Electron 24 89 (1981)
  90. Parry G Optica Acta: International Journal Of Optics 28 715 (1981)
  91. Krutikov V A Radiophys Quantum Electron 23 951 (1980)
  92. Vinogradov A G, Teokharov A N Radiophys Quantum Electron 23 780 (1980)
  93. Furutsu K 21 2764 (1980)
  94. Tatarskii V I, Zavorotnyi V U Progress In Optics Vol. 18 (1980) p. 204
  95. Serafim P E Radio Science 15 1031 (1980)
  96. Dolin L S Radiophys Quantum Electron 23 236 (1980)
  97. Prisbivalko A P, Kuz’min V N et al J Appl Spectrosc 33 975 (1980)
  98. Fremouw E J, Livingston R C, Miller D A Journal Of Atmospheric And Terrestrial Physics 42 717 (1980)
  99. Furutsu K 21 765 (1980)
  100. Zhuk I N Radiophys Quantum Electron 23 597 (1980)
  101. Jakeman E, Pusey P N Topics In Current Physics Vol. Inverse Scattering Problems in OpticsPhoton-Counting Statistics of Optical Scintillation20 Chapter 3 (1980) p. 73
  102. Belen’kii M S, Mironov V L J. Opt. Soc. Am. 70 159 (1980)
  103. Sreenivasiah I, Ishimaru A Appl. Opt. 18 1613 (1979)
  104. Ostashev V E, Tatarskii V I Radiophys Quantum Electron 22 116 (1979)
  105. Klyachkin V I Fluid Dyn 14 98 (1979)
  106. Kashkarov S S Radiophys Quantum Electron 22 756 (1979)
  107. DeSanto J A Topics In Current Physics Vol. Ocean AcousticsTheoretical Methods in Ocean Acoustics8 Chapter 2 (1979) p. 7
  108. Woo R, Armstrong J W J. Geophys. Res. 84 7288 (1979)
  109. Candel S M J. Fluid Mech. 90 465 (1979)
  110. Chou Y C, Goldburg W I Phys. Rev. A 20 2105 (1979)
  111. Furutsu K 20 617 (1979)
  112. de Wolf D A Radio Science 14 277 (1979)
  113. Krutikov V A Radiophys Quantum Electron 22 57 (1979)
  114. Miller P F J. Phys. A: Math. Gen. 11 403 (1978)
  115. Mysak L A Reviews Of Geophysics 16 233 (1978)
  116. Uscinski B J Journal Of Atmospheric And Terrestrial Physics 40 1257 (1978)
  117. de Wolf D A J. Opt. Soc. Am. 68 475 (1978)
  118. Foley J T, Zubairy M S Optics Communications 26 297 (1978)
  119. Wolf E J. Opt. Soc. Am. 68 6 (1978)
  120. Ishimaru A Topics In Applied Physics Vol. Laser Beam Propagation in the AtmosphereThe beam wave case and remote sensing25 Chapter 5 (1978) p. 129
  121. Strohbehn J W Topics In Applied Physics Vol. Laser Beam Propagation in the AtmosphereModern theories in the propagation of optical waves in a turbulent medium25 Chapter 3 (1978) p. 45
  122. Wave Propagation and Scattering in Random Media (1978) p. 547
  123. Rumsey V H Radio Science 12 205 (1977)
  124. Ito S, Adachi S IEEE Trans. Antennas Propagat. 25 205 (1977)
  125. Tappert F D Lecture Notes In Physics Vol. Wave Propagation and Underwater AcousticsThe parabolic approximation method70 Chapter 5 (1977) p. 224
  126. Rino C L, Fremouw E J Journal Of Atmospheric And Terrestrial Physics 39 859 (1977)
  127. Stepanov A V, Shelagin A V Radiophys Quantum Electron 20 1088 (1977)
  128. Barabanenkov Yu N Radiophys Quantum Electron 20 746 (1977)
  129. Ishimaru A Appl. Opt. 16 3190 (1977)
  130. Ishimaru A Proc. IEEE 65 1030 (1977)
  131. Abramovich B S Radiophys Quantum Electron 20 828 (1977)
  132. Crane R K Proc. IEEE 65 180 (1977)
  133. Taylor L S Radio Science 12 643 (1977)
  134. Keller J B Lecture Notes In Physics Vol. Wave Propagation and Underwater AcousticsSurvey of wave propagation and underwater acoustics70 Chapter 1 (1977) p. 1
  135. Wolf E Phys. Rev. D 13 869 (1976)
  136. Muzychuk O V Radiophys Quantum Electron 19 843 (1976)
  137. Communications Satellite Developments: Technology (1976) p. 367
  138. Taylor L S, Infosino Ch J Radio Science 11 459 (1976)
  139. Van Kampen N G Physics Reports 24 171 (1976)
  140. Rino C L, Livingston R C, Whitney H E J. Geophys. Res. 81 2051 (1976)
  141. Sreenivasiah I, Ishimaru A, Hong Sh T Radio Science 11 775 (1976)
  142. Furuhama Y Radio Science 11 763 (1976)
  143. Rino C IEEE Trans. Antennas Propagat. 24 912 (1976)
  144. Aeroacoustics: Acoustic Wave Propagation; Aircraft Noise Prediction; Aeroacoustic Instrumentation (1976) p. 51
  145. Rumsey V H Radio Science 11 545 (1976)
  146. Furutsu K Radio Science 10 29 (1975)
  147. Valley G IEEE Trans. Antennas Propagat. 23 274 (1975)
  148. Fante R L Proc. IEEE 63 1669 (1975)
  149. Gardner C S, Plonus M A Radio Science 10 129 (1975)
  150. CHOW P, LIU C, MAESTRELLO L 2nd Aeroacoustics Conference, (1975)
  151. Muzychuk O V Radiophys Quantum Electron 18 282 (1975)
  152. Ishimaru A, Hong S T Radio Science 10 637 (1975)
  153. Taylor L S, Infosino Ch J J. Opt. Soc. Am. 65 78 (1975)
  154. Klyatskin V I Radiophys Quantum Electron 18 47 (1975)
  155. Rumsey V H Radio Science 10 107 (1975)
  156. Borovoy A G, Kabanov M V, Saveliev B A Appl. Opt. 14 2731 (1975)
  157. Klyachkin V I, Ioffe M I Radiophys Quantum Electron 18 519 (1975)
  158. Hassab J OCEAN 75 Conference, (1975) p. 240
  159. Ishimaru A Radio Science 10 45 (1975)
  160. Chow P-L SIAM Rev. 17 57 (1975)
  161. Mironov V L, Tuzova S I Radiophys Quantum Electron 18 109 (1975)
  162. Rufenach C L Journal Of Atmospheric And Terrestrial Physics 37 569 (1975)
  163. Abramovich B S, Ryzhov Yu A Radiophys Quantum Electron 17 1215 (1974)
  164. Van Kampen N G Physica 74 215 (1974)
  165. Belen’kii M S, Mironov V L Radiophys Quantum Electron 17 800 (1974)
  166. Gracheva M E, Gurvich A S et al Radiophys Quantum Electron 17 83 (1974)
  167. Brookner E IEEE Trans. Commun. 22 265 (1974)
  168. Apresyan L A Radiophys Quantum Electron 17 123 (1974)
  169. Liu C H, Wernik A W et al Radio Science 9 599 (1974)
  170. Malakhov A N, Saichev A I Radiophys Quantum Electron 17 1387 (1974)
  171. Liu C, Wernik A, Yeh K IEEE Trans. Antennas Propagat. 22 624 (1974)
  172. Banakh V A, Krekov G M, Mironov V L Radiophys Quantum Electron 17 191 (1974)
  173. Gracheva M E, Gurvich A S, Khrupin A S Radiophys Quantum Electron 17 120 (1974)
  174. Dence D, Spence J E Probabilistic Methods in Applied Mathematics (1973) p. 121
  175. Furuhama Y, Fukushima M Boundary-Layer Meteorol 4 433 (1973)
  176. de Wolf D A J. Opt. Soc. Am. 63 171 (1973)
  177. Vinogradov A G, Kravtsov Yu A, Tatarskii V I Radiophys Quantum Electron 16 818 (1973)
  178. Klyatskin V I Radiophys Quantum Electron 16 1261 (1973)
  179. Pokrovskii V N, Dolgova I F et al Polymer Science U.S.S.R. 15 2963 (1973)
  180. Vinogradov A G, Kravtsov Yu A Radiophys Quantum Electron 16 811 (1973)
  181. Kon A I, Mironov V L, Tseitlin V E Soviet Physics Journal 16 1610 (1973)
  182. Khmelevtsov S S Appl. Opt. 12 2421 (1973)
  183. Simonich D M, Yeh K C Journal Of The Franklin Institute 295 135 (1973)
  184. Fante R IEEE Trans. Antennas Propagat. 21 750 (1973)
  185. Fraiman A A Radiophys Quantum Electron 16 950 (1973)
  186. Rino C L, Fremouw E J Radio Science 8 223 (1973)
  187. Barabanenko Yu N Radiophys Quantum Electron 15 48 (1972)
  188. Furutsu K J. Opt. Soc. Am. 62 240 (1972)
  189. Suzuki K Solid State Communications 11 937 (1972)
  190. Chow P-L 13 1224 (1972)
  191. Lukin V P, Pokasov V V, Khmelevtsov S S Radiophys Quantum Electron 15 1426 (1972)
  192. Armstrong J W, Coles W A, Rickett B J J. Geophys. Res. 77 2739 (1972)
  193. Yeh K C, Liu C H Reviews Of Geophysics 10 631 (1972)
  194. Pickering L, McIntosh R IEEE Trans. Antennas Propagat. 20 528 (1972)
  195. McIntosh R E, Wilk J M, Pickering L W 43 1509 (1972)
  196. Ovchinnikov G I Radiophys Quantum Electron 14 572 (1971)
  197. Rytov S M Radiophys Quantum Electron 14 509 (1971)
  198. Modesitt G J. Opt. Soc. Am. 61 797 (1971)
  199. Andreev G A, Gel’fer � I et al Radiophys Quantum Electron 14 221 (1971)
  200. Ginzburg V L, Erukhimov L M Astrophys Space Sci 13 53 (1971)

© 1918–2025 Uspekhi Fizicheskikh Nauk
Email: ufn@ufn.ru Editorial office contacts About the journal Terms and conditions