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

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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)
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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

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  90. Zuev V E Laser Beams in the Atmosphere Chapter 5 (1982) p. 243
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  92. Lukin V P, Pokasov V V Appl. Opt. 20 (1) 121 (1981)
  93. Bezverkhnii V A, Gracheva M E et al Radiophys Quantum Electron 24 (2) 89 (1981)
  94. Parry G Optica Acta: International Journal Of Optics 28 (5) 715 (1981)
  95. Tatarskii V I, Zavorotnyi V U Progress In Optics Vol. 18 (1980) p. 204
  96. Serafim P E Radio Science 15 (5) 1031 (1980)
  97. Prisbivalko A P, Kuz’min V N et al J Appl Spectrosc 33 (3) 975 (1980)
  98. Krutikov V A Radiophys Quantum Electron 23 (12) 951 (1980)
  99. Furutsu K Journal of Mathematical Physics 21 (4) 765 (1980)
  100. Zhuk I N Radiophys Quantum Electron 23 (8) 597 (1980)
  101. Fremouw E J, Livingston R C, Miller D A Journal Of Atmospheric And Terrestrial Physics 42 (8) 717 (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. Dolin L S Radiophys Quantum Electron 23 (3) 236 (1980)
  104. Furutsu K Journal of Mathematical Physics 21 (12) 2764 (1980)
  105. Vinogradov A G, Teokharov A N Radiophys Quantum Electron 23 (10) 780 (1980)
  106. Belen’kii M S, Mironov V L J. Opt. Soc. Am. 70 (2) 159 (1980)
  107. Woo R, Armstrong J W J. Geophys. Res. 84 (A12) 7288 (1979)
  108. Klyachkin V I Fluid Dyn 14 (1) 98 (1979)
  109. Krutikov V A Radiophys Quantum Electron 22 (1) 57 (1979)
  110. Ostashev V E, Tatarskii V I Radiophys Quantum Electron 22 (2) 116 (1979)
  111. Candel S M J. Fluid Mech. 90 (3) 465 (1979)
  112. Sreenivasiah I, Ishimaru A Appl. Opt. 18 (10) 1613 (1979)
  113. Chou Y C, Goldburg W I Phys. Rev. A 20 (5) 2105 (1979)
  114. Furutsu K Journal of Mathematical Physics 20 (4) 617 (1979)
  115. Kashkarov S S Radiophys Quantum Electron 22 (9) 756 (1979)
  116. de Wolf D A Radio Science 14 (2) 277 (1979)
  117. DeSanto J A Topics In Current Physics Vol. Ocean AcousticsTheoretical Methods in Ocean Acoustics8 Chapter 2 (1979) p. 7
  118. Mysak L A Reviews Of Geophysics 16 (2) 233 (1978)
  119. 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
  120. de Wolf D A J. Opt. Soc. Am. 68 (4) 475 (1978)
  121. Ishimaru A Topics In Applied Physics Vol. Laser Beam Propagation in the AtmosphereThe beam wave case and remote sensing25 Chapter 5 (1978) p. 129
  122. Wolf E J. Opt. Soc. Am. 68 (1) 6 (1978)
  123. Foley J T, Zubairy M S Optics Communications 26 (3) 297 (1978)
  124. Uscinski B J Journal Of Atmospheric And Terrestrial Physics 40 (12) 1257 (1978)
  125. Wave Propagation and Scattering in Random Media (1978) p. 547
  126. Miller P F J. Phys. A: Math. Gen. 11 (2) 403 (1978)
  127. Crane R K Proc. IEEE 65 (2) 180 (1977)
  128. Stepanov A V, Shelagin A V Radiophys Quantum Electron 20 (10) 1088 (1977)
  129. Tappert F D Lecture Notes In Physics Vol. Wave Propagation and Underwater AcousticsThe parabolic approximation method70 Chapter 5 (1977) p. 224
  130. Abramovich B S Radiophys Quantum Electron 20 (8) 828 (1977)
  131. Ito S, Adachi S IEEE Trans. Antennas Propagat. 25 (2) 205 (1977)
  132. Taylor L S Radio Science 12 (5) 643 (1977)
  133. Rumsey V H Radio Science 12 (2) 205 (1977)
  134. Barabanenkov Yu N Radiophys Quantum Electron 20 (7) 746 (1977)
  135. Keller J B Lecture Notes In Physics Vol. Wave Propagation and Underwater AcousticsSurvey of wave propagation and underwater acoustics70 Chapter 1 (1977) p. 1
  136. Rino C L, Fremouw E J Journal Of Atmospheric And Terrestrial Physics 39 (8) 859 (1977)
  137. Ishimaru A Proc. IEEE 65 (7) 1030 (1977)
  138. Ishimaru A Appl. Opt. 16 (12) 3190 (1977)
  139. Wolf E Phys. Rev. D 13 (4) 869 (1976)
  140. Muzychuk O V Radiophys Quantum Electron 19 (8) 843 (1976)
  141. Communications Satellite Developments: Technology (1976) p. 367
  142. Rumsey V H Radio Science 11 (6) 545 (1976)
  143. Sreenivasiah I, Ishimaru A, Hong Sh T Radio Science 11 (10) 775 (1976)
  144. Taylor L S, Infosino Ch J Radio Science 11 (5) 459 (1976)
  145. Rino C IEEE Trans. Antennas Propagat. 24 (6) 912 (1976)
  146. Furuhama Y Radio Science 11 (10) 763 (1976)
  147. Aeroacoustics: Acoustic Wave Propagation; Aircraft Noise Prediction; Aeroacoustic Instrumentation (1976) p. 51
  148. Van Kampen N G Physics Reports 24 (3) 171 (1976)
  149. Rino C L, Livingston R C, Whitney H E J. Geophys. Res. 81 (13) 2051 (1976)
  150. Muzychuk O V Radiophys Quantum Electron 18 (3) 282 (1975)
  151. Furutsu K Radio Science 10 (1) 29 (1975)
  152. Chow P-L SIAM Rev. 17 (1) 57 (1975)
  153. Fante R L Proc. IEEE 63 (12) 1669 (1975)
  154. Gardner C S, Plonus M A Radio Science 10 (1) 129 (1975)
  155. Ishimaru A, Hong S T Radio Science 10 (6) 637 (1975)
  156. CHOW P, LIU C, MAESTRELLO L 2nd Aeroacoustics Conference, (1975)
  157. Taylor L S, Infosino Ch J J. Opt. Soc. Am. 65 (1) 78 (1975)
  158. Klyatskin V I Radiophys Quantum Electron 18 (1) 47 (1975)
  159. Rumsey V H Radio Science 10 (1) 107 (1975)
  160. Borovoy A G, Kabanov M V, Saveliev B A Appl. Opt. 14 (11) 2731 (1975)
  161. Klyachkin V I, Ioffe M I Radiophys Quantum Electron 18 (5) 519 (1975)
  162. Hassab J OCEAN 75 Conference, (1975) p. 240
  163. Ishimaru A Radio Science 10 (1) 45 (1975)
  164. Valley G IEEE Trans. Antennas Propagat. 23 (2) 274 (1975)
  165. Mironov V L, Tuzova S I Radiophys Quantum Electron 18 (1) 109 (1975)
  166. Rufenach C L Journal Of Atmospheric And Terrestrial Physics 37 (3) 569 (1975)
  167. Abramovich B S, Ryzhov Yu A Radiophys Quantum Electron 17 (11) 1215 (1974)
  168. Gracheva M E, Gurvich A S, Khrupin A S Radiophys Quantum Electron 17 (1) 120 (1974)
  169. Malakhov A N, Saichev A I Radiophys Quantum Electron 17 (12) 1387 (1974)
  170. Brookner E IEEE Trans. Commun. 22 (2) 265 (1974)
  171. Liu C H, Wernik A W et al Radio Science 9 (6) 599 (1974)
  172. Belen’kii M S, Mironov V L Radiophys Quantum Electron 17 (7) 800 (1974)
  173. Gracheva M E, Gurvich A S et al Radiophys Quantum Electron 17 (1) 83 (1974)
  174. Banakh V A, Krekov G M, Mironov V L Radiophys Quantum Electron 17 (2) 191 (1974)
  175. Liu C, Wernik A, Yeh K IEEE Trans. Antennas Propagat. 22 (4) 624 (1974)
  176. Van Kampen N G Physica 74 (2) 215 (1974)
  177. Apresyan L A Radiophys Quantum Electron 17 (2) 123 (1974)
  178. Vinogradov A G, Kravtsov Yu A, Tatarskii V I Radiophys Quantum Electron 16 (7) 818 (1973)
  179. Klyatskin V I Radiophys Quantum Electron 16 (11) 1261 (1973)
  180. Pokrovskii V N, Dolgova I F et al Polymer Science U.S.S.R. 15 (11) 2963 (1973)
  181. Vinogradov A G, Kravtsov Yu A Radiophys Quantum Electron 16 (7) 811 (1973)
  182. de Wolf D A J. Opt. Soc. Am. 63 (2) 171 (1973)
  183. Furuhama Y, Fukushima M Boundary-Layer Meteorol 4 (1-4) 433 (1973)
  184. Khmelevtsov S S Appl. Opt. 12 (10) 2421 (1973)
  185. Fante R IEEE Trans. Antennas Propagat. 21 (5) 750 (1973)
  186. Dence D, Spence J E Probabilistic Methods in Applied Mathematics (1973) p. 121
  187. Fraiman A A Radiophys Quantum Electron 16 (8) 950 (1973)
  188. Kon A I, Mironov V L, Tseitlin V E Soviet Physics Journal 16 (11) 1610 (1973)
  189. Simonich D M, Yeh K C Journal Of The Franklin Institute 295 (2) 135 (1973)
  190. Rino C L, Fremouw E J Radio Science 8 (3) 223 (1973)
  191. Furutsu K J. Opt. Soc. Am. 62 (2) 240 (1972)
  192. Suzuki K Solid State Communications 11 (8) 937 (1972)
  193. McIntosh R E, Wilk J M, Pickering L W Review of Scientific Instruments 43 (10) 1509 (1972)
  194. Barabanenko Yu N Radiophys Quantum Electron 15 (1) 48 (1972)
  195. Chow P-L Journal of Mathematical Physics 13 (8) 1224 (1972)
  196. Yeh K C, Liu C H Reviews Of Geophysics 10 (2) 631 (1972)
  197. Pickering L, McIntosh R IEEE Trans. Antennas Propagat. 20 (4) 528 (1972)
  198. Armstrong J W, Coles W A, Rickett B J J. Geophys. Res. 77 (16) 2739 (1972)
  199. Lukin V P, Pokasov V V, Khmelevtsov S S Radiophys Quantum Electron 15 (12) 1426 (1972)
  200. Ginzburg V L, Erukhimov L M Astrophys Space Sci 13 (1) 53 (1971)
  201. Modesitt G J. Opt. Soc. Am. 61 (6) 797 (1971)
  202. Ovchinnikov G I Radiophys Quantum Electron 14 (5) 572 (1971)
  203. Andreev G A, Gel’fer � I et al Radiophys Quantum Electron 14 (2) 221 (1971)
  204. Rytov S M Radiophys Quantum Electron 14 (5) 509 (1971)

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