Выпуски

 / 

1970

 / 

Сентябрь

  

Обзоры актуальных проблем


Состояние теории распространения волн в случайно-неоднородной среде

В сокращенном виде обзор был доложен на научной сессии Отделения общей физики и астрономии Академии наук СССР 30 октября 1969 г.

СОДЕРЖАНИЕ
1. Введение
2. Метод малых возмущений. Первое приближение
3. Рассеяние на крупномасштабных неоднородностях
а. Метод плавных возмущений
б. Метод параболического уравнения
в. Марковское приближение
г. Законы распределения флуктуации в рассеянном поле
4. Теория многократного рассеяния
Цитированная литература

Текст pdf (2,9 Мб)
English fulltext is 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 (все)
DOI: 10.3367/UFNr.0102.197009a.0003
URL: https://ufn.ru/ru/articles/1970/9/a/
Цитата: 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)
BibTexBibNote ® (generic)BibNote ® (RIS)MedlineRefWorks

English 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 mediumSov. Phys. Usp. 13 551–575 (1971); DOI: 10.1070/PU1971v013n05ABEH004213

Статьи, ссылающиеся на эту (203) ↓ Похожие статьи (20)

  1. Cao Yu, Wang X et al Opt. Express 33 (16) 34688 (2025)
  2. Kolokolov I V, Lebedev V V, Starikov F A J. Opt. Soc. Am. A 42 (11) 1654 (2025)
  3. Roy A, Kube Ch M Journal of the Mechanics and Physics of Solids 203 106237 (2025)
  4. Wei J-P, Huang Y-F et al ApJ 980 (1) 114 (2025)
  5. Gaspard D, Sparenberg Je-M Phys. Rev. A 109 (6) (2024)
  6. Torabi M, Shahidi R, Gill E W OCEANS 2024 - Halifax, (2024) p. 1
  7. Taufiq A, Ertürk H, Yalçın R A International Communications in Heat and Mass Transfer 154 107386 (2024)
  8. Knizhin S I, Tinin M V Radiophys Quantum El 65 (9) 668 (2023)
  9. Skalskyi V R, Romanyshyn І М et al Mater Sci 57 (6) 765 (2022)
  10. Rogovtsov N N, Anissimov V Ya J Appl Spectrosc 88 (6) 1144 (2022)
  11. Butyrskiy E Theoretical foundations of hydroacoustics and ocean acoustics 1 (2022)
  12. T S M, Huang W, Gill E W IEEE Trans. Antennas Propagat. 69 (3) 1643 (2021)
  13. Tinin M, Knizhin S Radio Science 55 (4) (2020)
  14. Xiong Ch, Xu Ji‐Sheng et al Space Weather 18 (2) (2020)
  15. Tinin M V, Matvienko G G, Romanovskii O A 26th International Symposium on Atmospheric and Ocean Optics, Atmospheric Physics, (2020) p. 206
  16. Knizhin S, Tinin M 2019 International Conference on Electromagnetics in Advanced Applications (ICEAA), (2019) p. 0260
  17. Nichols J M, Emerson T H, Rohde G K Journal of Modern Optics 66 (8) 835 (2019)
  18. Tinin M, Knizhin S 2019 International Conference on Electromagnetics in Advanced Applications (ICEAA), (2019) p. 0266
  19. Kuzmina M G Springer Series in Light Scattering Springer Series in Light Scattering Chapter 3 (2019) p. 105
  20. Baskov R A, Chumak O O Phys. Rev. A 97 (4) (2018)
  21. Tinin M V Advances in Mathematical Physics 2018 1 (2018)
  22. Tinin M Radio Science 51 (8) 1350 (2016)
  23. Priyadarshi S Surv Geophys 36 (2) 295 (2015)
  24. Metzger Ja J, Fleischmann R, Geisel T Phys. Rev. Lett. 112 (20) (2014)
  25. Knizhin S I, Tinin M V 2014 XXXIth URSI General Assembly and Scientific Symposium (URSI GASS), (2014) p. 1
  26. Chernyakov A L, Kirsh A A Colloid J 76 (2) 207 (2014)
  27. Kovalev V I J. Opt. Soc. Am. A 31 (5) 907 (2014)
  28. Tinin M V, I K S Radiophys Quantum El 56 (7) 413 (2013)
  29. Tichkule Sh, Muschinski A Appl. Opt. 51 (21) 5272 (2012)
  30. Sato H, Fehler M C, Maeda T Seismic Wave Propagation and Scattering in the Heterogeneous Earth : Second Edition Chapter 1 (2012) p. 1
  31. Tinin M V Radiophys Quantum El 55 (6) 391 (2012)
  32. Acoustical Imaging 1 (2012) p. 141
  33. The Theory of Scintillation with Applications in Remote Sensing 1 (2011) p. 219
  34. Afanasiev N T, Afanasiev A N et al Journal of Atmospheric and Solar-Terrestrial Physics 72 (7-8) 583 (2010)
  35. 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
  36. Afanasiev A N, Altyntsev A T Sol Phys 234 (1) 151 (2006)
  37. Mudaliar S Journal of Electromagnetic Waves and Applications 20 (13) 1739 (2006)
  38. Sato H J. Geophys. Res. 111 (B6) (2006)
  39. Alimov V A, Rakhlin A V Radiophys Quantum Electron 48 (4) 247 (2005)
  40. Margerin L Geophysical Monograph Series Vol. Seismic Earth: Array Analysis of Broadband SeismogramsIntroduction to radiative transfer of seismic waves157 (2005) p. 229
  41. Gherm V E, Zernov N N et al Acta Geodaetica et Geophysica Hungarica 37 (2-3) 271 (2002)
  42. Vasil’eva I A Uspekhi Fizicheskikh Nauk 171 (12) 1317 (2001)
  43. Gherm V E, Zernov N N et al Radio Science 35 (5) 1221 (2000)
  44. Bhattacharyya A Radio Science 34 (1) 229 (1999)
  45. Loiko V A, Dick V P, Ivanov A P Appl. Opt. 38 (12) 2640 (1999)
  46. Cox S J, Reshetnyak V Yu, Sluckin T J J. Phys. D: Appl. Phys. 31 (14) 1611 (1998)
  47. Reguigui N M, Dorri-Nowkoorani F et al Journal of Thermophysics and Heat Transfer 11 (3) 400 (1997)
  48. Redmer R Physics Reports 282 (2-3) 35 (1997)
  49. Fokin A G Phys.-Usp. 39 (10) 1009 (1996)
  50. Ahmad A, Ahmad M M, Pathan B M Earth Moon Planet 65 (3) 247 (1994)
  51. Baryshevsky V G, Tikhomirov V V, Shekhtman A G Nuclear Physics B 424 (2) 418 (1994)
  52. Fokin A G Radiophys Quantum Electron 37 (4) 249 (1994)
  53. De Angelis U, Forlani A et al Physics of Plasmas 1 (2) 236 (1994)
  54. Dougherty R L, Ackerson B J et al Journal of Quantitative Spectroscopy and Radiative Transfer 52 (6) 713 (1994)
  55. Kravtsov Yu A Appl. Opt. 32 (15) 2681 (1993)
  56. de Wolf D A J. Opt. Soc. Am. A 10 (7) 1544 (1993)
  57. Gozani J Waves in Random Media 3 (4) 279 (1993)
  58. Kravtsov Y A Rep. Prog. Phys. 55 (1) 39 (1992)
  59. Lin F C, Fiddy M A J. Opt. Soc. Am. A 9 (7) 1102 (1992)
  60. Filinov V S Radiophys Quantum Electron 34 (5) 461 (1991)
  61. Meilanov R P Radiophys Quantum Electron 34 (4) 392 (1991)
  62. 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
  63. Truman C R, Lee M J Physics of Fluids A: Fluid Dynamics 2 (5) 851 (1990)
  64. van Faassen E Phys. Rev. A 42 (5) 2785 (1990)
  65. 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
  66. Rytov S M, Kravtsov Yu A, Tatarskii V I Principles of Statistical Radiophysics 3 Chapter 2 (1989) p. 50
  67. Rytov S M, Kravtsov Yu A, Tatarskii V I Principles of Statistical Radiophysics 3 Chapter 4 (1989) p. 174
  68. Rytov S M, Kravtsov Yu A, Tatarskii V I Principles of Statistical Radiophysics 4 Chapter 4 (1989) p. 117
  69. Avdeev V B, Demin A V et al Radiophys Quantum Electron 31 (11) 907 (1988)
  70. Askar A, Cakmak A S Probabilistic Engineering Mechanics 3 (3) 124 (1988)
  71. Bass F G, Kivshar Yu S et al Physics Reports 157 (2) 63 (1988)
  72. Holý V, Gabrielyan K T Physica Status Solidi (b) 140 (1) 39 (1987)
  73. Shabahang R Applied Mathematics and Computation 21 (2) 111 (1987)
  74. Wang Zhen-song, Maa Hsiao-fei Phys. Scr. 36 (4) 577 (1987)
  75. Epstein R, Craxton R S Phys. Rev. A 33 (3) 1892 (1986)
  76. Codona J L, Creamer D B et al Radio Science 21 (6) 929 (1986)
  77. Nowack R L, Aki K Geophysical Journal International 87 (3) 701 (1986)
  78. de Wolf D A, Pack Je-K J. Opt. Soc. Am. A 3 (4) 532 (1986)
  79. Guédel A Journal of Sound and Vibration 100 (2) 285 (1985)
  80. Wenzel A R J. Opt. Soc. Am. A 2 (5) 774 (1985)
  81. Tam W G, Zardecki A Int J Infrared Milli Waves 6 (3) 249 (1985)
  82. Kuzmin V L Physics Reports 123 (6) 365 (1985)
  83. Furutsu K Journal of Mathematical Physics 26 (9) 2352 (1985)
  84. Andrews P L Phys. Rev. Lett. 54 (18) 2022 (1985)
  85. 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
  86. Optica Acta: International Journal of Optics 29 (7) 877 (1982)
  87. Kulkarny V A, White B S The Physics of Fluids 25 (10) 1770 (1982)
  88. Grella R J. Opt. 13 (6) 367 (1982)
  89. Zuev V E Laser Beams in the Atmosphere Chapter 5 (1982) p. 243
  90. Macaskill C C, Uscinski B J Proceedings of the Royal Society of London. A. Mathematical and Physical Sciences 377 (1768) 73 (1981)
  91. Lukin V P, Pokasov V V Appl. Opt. 20 (1) 121 (1981)
  92. Parry G Optica Acta: International Journal of Optics 28 (5) 715 (1981)
  93. Bezverkhnii V A, Gracheva M E et al Radiophys Quantum Electron 24 (2) 89 (1981)
  94. Furutsu K Journal of Mathematical Physics 21 (12) 2764 (1980)
  95. Prisbivalko A P, Kuz’min V N et al J Appl Spectrosc 33 (3) 975 (1980)
  96. Belen’kii M S, Mironov V L J. Opt. Soc. Am. 70 (2) 159 (1980)
  97. Vinogradov A G, Teokharov A N Radiophys Quantum Electron 23 (10) 780 (1980)
  98. Tatarskii V I, Zavorotnyi V U Progress in Optics Vol. 18 (1980) p. 204
  99. Furutsu K Journal of Mathematical Physics 21 (4) 765 (1980)
  100. Fremouw E J, Livingston R C, Miller D A Journal of Atmospheric and Terrestrial Physics 42 (8) 717 (1980)
  101. Zhuk I N Radiophys Quantum Electron 23 (8) 597 (1980)
  102. 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
  103. Serafim P E Radio Science 15 (5) 1031 (1980)
  104. Krutikov V A Radiophys Quantum Electron 23 (12) 951 (1980)
  105. Dolin L S Radiophys Quantum Electron 23 (3) 236 (1980)
  106. Woo R, Armstrong J W J. Geophys. Res. 84 (A12) 7288 (1979)
  107. de Wolf D A Radio Science 14 (2) 277 (1979)
  108. Candel S M J. Fluid Mech. 90 (3) 465 (1979)
  109. Sreenivasiah I, Ishimaru A Appl. Opt. 18 (10) 1613 (1979)
  110. Furutsu K Journal of Mathematical Physics 20 (4) 617 (1979)
  111. Krutikov V A Radiophys Quantum Electron 22 (1) 57 (1979)
  112. Chou Y C, Goldburg W I Phys. Rev. A 20 (5) 2105 (1979)
  113. Klyachkin V I Fluid Dyn 14 (1) 98 (1979)
  114. Ostashev V E, Tatarskii V I Radiophys Quantum Electron 22 (2) 116 (1979)
  115. Kashkarov S S Radiophys Quantum Electron 22 (9) 756 (1979)
  116. DeSanto J A Topics in Current Physics Vol. Ocean AcousticsTheoretical Methods in Ocean Acoustics8 Chapter 2 (1979) p. 7
  117. Ishimaru A Topics in Applied Physics Vol. Laser Beam Propagation in the AtmosphereThe beam wave case and remote sensing25 Chapter 5 (1978) p. 129
  118. Foley J T, Zubairy M S Optics Communications 26 (3) 297 (1978)
  119. de Wolf D A J. Opt. Soc. Am. 68 (4) 475 (1978)
  120. 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
  121. Wolf E J. Opt. Soc. Am. 68 (1) 6 (1978)
  122. Mysak L A Reviews of Geophysics 16 (2) 233 (1978)
  123. Wave Propagation and Scattering in Random Media (1978) p. 547
  124. Uscinski B J Journal of Atmospheric and Terrestrial Physics 40 (12) 1257 (1978)
  125. Miller P F J. Phys. A: Math. Gen. 11 (2) 403 (1978)
  126. Ito S, Adachi S IEEE Trans. Antennas Propagat. 25 (2) 205 (1977)
  127. Rumsey V H Radio Science 12 (2) 205 (1977)
  128. Tappert F D Lecture Notes in Physics Vol. Wave Propagation and Underwater AcousticsThe parabolic approximation method70 Chapter 5 (1977) p. 224
  129. Keller J B Lecture Notes in Physics Vol. Wave Propagation and Underwater AcousticsSurvey of wave propagation and underwater acoustics70 Chapter 1 (1977) p. 1
  130. Ishimaru A Proc. IEEE 65 (7) 1030 (1977)
  131. Ishimaru A Appl. Opt. 16 (12) 3190 (1977)
  132. Barabanenkov Yu N Radiophys Quantum Electron 20 (7) 746 (1977)
  133. Abramovich B S Radiophys Quantum Electron 20 (8) 828 (1977)
  134. Stepanov A V, Shelagin A V Radiophys Quantum Electron 20 (10) 1088 (1977)
  135. Taylor L S Radio Science 12 (5) 643 (1977)
  136. Crane R K Proc. IEEE 65 (2) 180 (1977)
  137. Rino C L, Fremouw E J Journal of Atmospheric and Terrestrial Physics 39 (8) 859 (1977)
  138. Muzychuk O V Radiophys Quantum Electron 19 (8) 843 (1976)
  139. Communications Satellite Developments: Technology (1976) p. 367
  140. Taylor L S, Infosino Ch J Radio Science 11 (5) 459 (1976)
  141. Van Kampen N G Physics Reports 24 (3) 171 (1976)
  142. Wolf E Phys. Rev. D 13 (4) 869 (1976)
  143. Rino C L, Livingston R C, Whitney H E J. Geophys. Res. 81 (13) 2051 (1976)
  144. Sreenivasiah I, Ishimaru A, Hong Sh T Radio Science 11 (10) 775 (1976)
  145. Rino C IEEE Trans. Antennas Propagat. 24 (6) 912 (1976)
  146. Furuhama Y Radio Science 11 (10) 763 (1976)
  147. Rumsey V H Radio Science 11 (6) 545 (1976)
  148. Aeroacoustics: Acoustic Wave Propagation; Aircraft Noise Prediction; Aeroacoustic Instrumentation (1976) p. 51
  149. Muzychuk O V Radiophys Quantum Electron 18 (3) 282 (1975)
  150. Rumsey V H Radio Science 10 (1) 107 (1975)
  151. Ishimaru A, Hong S T Radio Science 10 (6) 637 (1975)
  152. Furutsu K Radio Science 10 (1) 29 (1975)
  153. Valley G IEEE Trans. Antennas Propagat. 23 (2) 274 (1975)
  154. Chow P-L SIAM Rev. 17 (1) 57 (1975)
  155. Ishimaru A Radio Science 10 (1) 45 (1975)
  156. Fante R L Proc. IEEE 63 (12) 1669 (1975)
  157. Gardner C S, Plonus M A Radio Science 10 (1) 129 (1975)
  158. Hassab J OCEAN 75 Conference, (1975) p. 240
  159. Klyatskin V I Radiophys Quantum Electron 18 (1) 47 (1975)
  160. Rufenach C L Journal of Atmospheric and Terrestrial Physics 37 (3) 569 (1975)
  161. CHOW P, LIU C, MAESTRELLO L 2nd Aeroacoustics Conference, (1975)
  162. Borovoy A G, Kabanov M V, Saveliev B A Appl. Opt. 14 (11) 2731 (1975)
  163. Taylor L S, Infosino Ch J J. Opt. Soc. Am. 65 (1) 78 (1975)
  164. Mironov V L, Tuzova S I Radiophys Quantum Electron 18 (1) 109 (1975)
  165. Klyachkin V I, Ioffe M I Radiophys Quantum Electron 18 (5) 519 (1975)
  166. Abramovich B S, Ryzhov Yu A Radiophys Quantum Electron 17 (11) 1215 (1974)
  167. Banakh V A, Krekov G M, Mironov V L Radiophys Quantum Electron 17 (2) 191 (1974)
  168. Malakhov A N, Saichev A I Radiophys Quantum Electron 17 (12) 1387 (1974)
  169. Liu C, Wernik A, Yeh K IEEE Trans. Antennas Propagat. 22 (4) 624 (1974)
  170. Belen’kii M S, Mironov V L Radiophys Quantum Electron 17 (7) 800 (1974)
  171. Apresyan L A Radiophys Quantum Electron 17 (2) 123 (1974)
  172. Van Kampen N G Physica 74 (2) 215 (1974)
  173. Gracheva M E, Gurvich A S, Khrupin A S Radiophys Quantum Electron 17 (1) 120 (1974)
  174. Liu C H, Wernik A W et al Radio Science 9 (6) 599 (1974)
  175. Brookner E IEEE Trans. Commun. 22 (2) 265 (1974)
  176. Gracheva M E, Gurvich A S et al Radiophys Quantum Electron 17 (1) 83 (1974)
  177. Klyatskin V I Radiophys Quantum Electron 16 (11) 1261 (1973)
  178. Vinogradov A G, Kravtsov Yu A, Tatarskii V I Radiophys Quantum Electron 16 (7) 818 (1973)
  179. Khmelevtsov S S Appl. Opt. 12 (10) 2421 (1973)
  180. Rino C L, Fremouw E J Radio Science 8 (3) 223 (1973)
  181. de Wolf D A J. Opt. Soc. Am. 63 (2) 171 (1973)
  182. Furuhama Y, Fukushima M Boundary-Layer Meteorol 4 (1-4) 433 (1973)
  183. Fraiman A A Radiophys Quantum Electron 16 (8) 950 (1973)
  184. Vinogradov A G, Kravtsov Yu A Radiophys Quantum Electron 16 (7) 811 (1973)
  185. Fante R IEEE Trans. Antennas Propagat. 21 (5) 750 (1973)
  186. Simonich D M, Yeh K C Journal of the Franklin Institute 295 (2) 135 (1973)
  187. Pokrovskii V N, Dolgova I F et al Polymer Science U.S.S.R. 15 (11) 2963 (1973)
  188. Dence D, Spence J E Probabilistic Methods in Applied Mathematics (1973) p. 121
  189. Kon A I, Mironov V L, Tseitlin V E Soviet Physics Journal 16 (11) 1610 (1973)
  190. Barabanenko Yu N Radiophys Quantum Electron 15 (1) 48 (1972)
  191. Chow P-L Journal of Mathematical Physics 13 (8) 1224 (1972)
  192. Lukin V P, Pokasov V V, Khmelevtsov S S Radiophys Quantum Electron 15 (12) 1426 (1972)
  193. Furutsu K J. Opt. Soc. Am. 62 (2) 240 (1972)
  194. Yeh K C, Liu C H Reviews of Geophysics 10 (2) 631 (1972)
  195. Suzuki K Solid State Communications 11 (8) 937 (1972)
  196. Pickering L, McIntosh R IEEE Trans. Antennas Propagat. 20 (4) 528 (1972)
  197. McIntosh R E, Wilk J M, Pickering L W Review of Scientific Instruments 43 (10) 1509 (1972)
  198. Armstrong J W, Coles W A, Rickett B J J. Geophys. Res. 77 (16) 2739 (1972)
  199. Rytov S M Radiophys Quantum Electron 14 (5) 509 (1971)
  200. Ovchinnikov G I Radiophys Quantum Electron 14 (5) 572 (1971)
  201. Modesitt G J. Opt. Soc. Am. 61 (6) 797 (1971)
  202. Andreev G A, Gel’fer � I et al Radiophys Quantum Electron 14 (2) 221 (1971)
  203. Ginzburg V L, Erukhimov L M Astrophys Space Sci 13 (1) 53 (1971)

© Успехи физических наук, 1918–2025
Электронная почта: ufn@ufn.ru Телефоны и адреса редакции О журнале Пользовательское соглашение