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Reviews of topical problems


Self-action effects for wave beams containing shock fronts

,
Lomonosov Moscow State University, Faculty of Physics, Leninskie Gory 1 build. 2, Moscow, 119991, Russian Federation

The review covers experimental and theoretical studies of the self-action effects observed for intense wave beams with sawtooth time profiles. For sawtooth waves in quadratic nonlinear media, inertial self-focusing and defocusing processes caused by the formation of acoustic streaming and heating due to nonlinear energy dissipation at shock fronts are discussed. Self-refraction of shock-wave pulses is considered, which leads, in particular, to the saturation of the maximal field achieved by focusing. For cubic nonlinear media, where a sawtooth wave contains both compression and rarefaction shocks, the self-focusing process is studied in the presence of its strong competition with nonlinear damping. New mathematical models, their symmetry properties and exact solutions, and the results of numerical simulation are described. A general picture of the state of the art in this field is given.

Fulltext pdf (445 KB)
Fulltext is also available at DOI: 10.1070/PU2004v047n09ABEH001865
PACS: 43.25.+y, 47.40.Nm, 87.54.Hk (all)
DOI: 10.1070/PU2004v047n09ABEH001865
URL: https://ufn.ru/en/articles/2004/9/c/
000226203600003
2004PhyU...47..907R
Citation: Rudenko O V, Sapozhnikov O A "Self-action effects for wave beams containing shock fronts" Phys. Usp. 47 907–922 (2004)
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Оригинал: Руденко О В, Сапожников О А «Явления самовоздействия пучков волн, содержащих ударные фронты» УФН 174 973–989 (2004); DOI: 10.3367/UFNr.0174.200409c.0973

References (85) ↓ Cited by (38) Similar articles (20)

  1. Akhmanov S A, Sukhorukov A P, Khokhlov R V Usp. Fiz. Nauk 93 19 (1967) [Sov. Phys. Usp. 10 609 (1968)]
  2. Vlasov S N, Talanov V I Samofokusirovka Voln (Self-focusing of Waves, Nizhny Novgorod: Izd. IPF RAN, 1997)
  3. Karamzin Yu N, Sukhorukov A P Pis’ma Zh. Eksp. Teor. Fiz. 20 734 (1974) [JETP Lett. 20 339 (1974)]
  4. Whitham G B Linear and Nonlinear Waves (New York: Wiley, 1974) [Translated into Russian (Moscow: Mir, 1977)]
  5. Talanov V I Izv. Vyssh. Uchebn. Zaved. Radiofiz. 7 564 (1964) [Radiophys. 7 254 (1964)]
  6. Talanov V I Pis’ma Zh. Eksp. Teor. Fiz. 2 218 (1965) [JETP Lett. 2 138 (1965)]
  7. Bespalov V I, Talanov V I Pis’ma Zh. Eksp. Teor. Fiz. 3 471 (1966) [JETP Lett. 3 307 (1966)]
  8. Fink M Sci. Am. 281 (5) 91 (1999)
  9. Hynynen K Sci. Medicine 3 (5) 1 (1996)
  10. Fink M The e-Journal of Nondestructive Testing 3 (4, 1998); http://www.ndt.net/article/0498/fink/fink.htm
  11. Ing R K, Fink M Ultrasonics 36 179 (1998)
  12. Ing R K, Fink M, Casula O Appl. Phys. Lett. 68 (2) 161 (1996)
  13. Rudenko O V Usp. Fiz. Nauk. 165 1011 (1995) [Phys. Usp. 38 965 (1995)]
  14. Lavrent’ev E V, Kuzyan O I Vzryvy v More (Explosions in the Sea, Leningrad: Sudostroenie, 1977)
  15. Runyan L J, Kane E J "Sonic boom literature survey", Fed. Av. Admin. Rep. FAA-RD-73-129-II, AD771-274 (1973)
  16. Sapozhnikov O A, Khokhlova V A, Cathignol D J. Acoust. Soc. Am. 115 1982 (2004)
  17. Zarembo L K, Krasil’nikov V A Vvedenie v Nelineinuyu Akustiku; Zvukovye i Ul’trazvukovye Volny Bol’shoi Intensivnosti (Introduction to Nonlinear Acoustics; Sonic and Ultrasonic High-Intensity Waves, Moscow: Nauka, 1966)
  18. Andreev V G et al. Akust. Zh. 45 (1) 13 (1999) [Acoust. Phys. 45 8 (1999)]
  19. Askar’yan G A Pis’ma Zh. Eksp. Teor. Fiz. 4 (4) 144 (1966) [JETP Lett. 4 78 (1966)]
  20. Bakhvalov N S, Zhileikin Ya M, Zabolotskaya E A Nelineinaya Teoriya Zvukovykh Puchkov (Nonlinear Theory of Sound Beams, Moscow: Nauka, 1982) [Translated into English (New York: American Institute of Physics, 1987)]
  21. Assman V A et al. Pis’ma Zh. Eksp. Teor. Fiz. 41 148 (1985) [JETP Lett. 41 182 (1985)]
  22. Andreev V G et al. Pis’ma Zh. Eksp. Teor. Fiz. 41 381 (1985) [JETP Lett. 41 466 (1985)]
  23. Rudenko O V, Sapozhnikov O A, in Nonlinear Acoustics (Eds K A Naugol’nykh, L A Ostrovsky, New York: AIP Press, 1994) p. 104
  24. Bunkin F V, Lyakhov G A, Shipilov K F Usp. Fiz. Nauk 165 1145 (1995) [Phys. Usp. 38 1099 (1995)]
  25. Naugol’nykh K A, Ostrovskii L A Nelineinye Volnovye Protsessy v Akustike (Nonlinear Wave Processes in Acoustics, Moscow: Nauka, 1990) [Translated into English (New York: Cambridge Univ. Press, 1998)]
  26. Vinogradov E A, Shipilov K F Phys. Vibrations 10 (2) 72 (2002)
  27. Bunkin F V, Kravtsov Yu A, Lyakhov G A Usp. Fiz. Nauk 149 391 (1986) [Sov. Phys. Usp. 29 607 (1986)]
  28. Burov A K Akust. Zh. 4 (4) 315 (1958)
  29. Armeev V Yu, Karabutov A A, Sapozhnikov O A Akust. Zh. 33 177 (1987) [Sov. Phys. Acoust. 33 109 (1987)]
  30. Karabutov A A, Rudenko O V, Sapozhnikov O A Vestn. Mosk. Univ. Ser. 3 Fiz. Astron. 29 (4) 63 (1988) [Moscow Univ. Phys. Bull. 29 (4) 68 (1988)]
  31. Rudenko O V, Soluyan S I Teoreticheskie Osnovy Nelineinoi Akustiki (Theoretical Foundations of Nonlinear Acoustics, Moscow: Nauka, 1975) [Translated into English (New York: Consultants Bureau, 1977)]
  32. Novikov B K, Rudenko O V, Timoshenko V I Nelineinaya Gidroakustika (Nonlinear Hydroacoustics, Leningrad: Sudostroenie, 1981) [Translated into English (New York: American Institute of Physics, 1987)]
  33. Rudenko O V Izv. Vyssh. Uchebn. Zaved. Radiofiz. 46 377 (2003) [Radiophys. Quantum Electron. 46 338 (2003)]
  34. Sapozhnikov O A, Sinilo T V Izv. Ross. Akad. Nauk Ser. Fiz. 62 2371 (1998)
  35. Pishchal’nikov Yu A, Sapozhnikov O A, Sinilo T V Akust. Zh. 48 253 (2002) [Acoust. Phys. 48 214 (2002)]
  36. Bailey M R et al. Akust. Zh. 49 437 (2003) [Acoust. Phys. 49 369 (2003)]
  37. Karabutov A A, Rudenko O V, Sapozhnikov O A Akust. Zh. 34 644 (1988) [Acoust. Phys. 34 371 (1988)]
  38. Karabutov A A, Rudenko O V, Sapozhnikov O A Akust. Zh. 35 67 (1989) [Sov. Phys. Acoust. 35 40 (1989)]
  39. Le Floch C, Tanter M, Fink M Appl. Phys. Lett. 74 3062 (1999)
  40. Hallaj I M, Cleveland R O, Hynynen K J. Acoust. Soc. Am. 109 2245 (2001)
  41. Rudenko O V, Sagatov M M, Sapozhnikov O A Zh. Eksp. Teor. Fiz. 98 808 (1990) [Sov. Phys. JETP 71 449 (1990)]
  42. Rudenko O V, Soluyan S I, Khokhlov R V Dokl. Akad. Nauk SSSR 225 1053 (1975)
  43. Andreev V G, Karabutov A A, Rudenko O V Vestn. Mosk. Univ. Ser. 3 Fiz. Astron. 25 (4) 74 (1984)
  44. Bacon D R Ultrasound Med. Biol. 10 189 (1984)
  45. Preston R C (Ed.) Output Measurements for Medical Ultrasound (New York: Springer-Verlag, 1991)
  46. Makov Yu N Akust. Zh. 46 680 (2000) [Acoust. Phys. 46 596 (2000)]
  47. Fridman V E Akust. Zh. 28 551 (1982)
  48. Naugol’nykh K A, Roi N A Elektricheskie Razryady v Vode (Electric Discharges in Water, Moscow: Nauka, 1971)
  49. Askar’yan G A, Korolev M G, Yurkin A V Pis’ma Zh. Eksp. Teor. Fiz. 51 586 (1990) [JETP Lett. 51 667 (1990)]
  50. Andreev V G et al. Akust. Zh. 38 588 (1992) [Sov. Phys. Acoust. 38 325 (1992)]
  51. Coleman A J, Saunders J E Ultrasound Med. Biol. 15 213 (1989)
  52. Sarvazyan A P et al. Ultrasound Med. Biol. 24 1419 (1998)
  53. Dubrovskii A N, Sapozhnikov O A Vestn. Mosk. Univ. Ser. 3 Fiz. Astron. 34 (4) 67 (1993)
  54. Sturtevant B, Kulkarny V A J. Fluid Mech. 73 651 (1976)
  55. Higashino F, in Handbook of Shock Waves Vol. 2 (Eds G Ben-Dor, O Igra, T Elperin, San Diego: Academic Press, 2001) p. 397
  56. Musatov A G, Rudenko O V, Sapozhnikov O A Akust. Zh. 38 502 (1992) [Sov. Phys. Acoust. 38 274 (1992)]
  57. Sapozhnikov O A Akust. Zh. 37 760 (1991) [Sov. Phys. Acoust. 37 395 (1991)]
  58. Rudenko O V, Sapozhnikov O A Zh. Eksp. Teor. Fiz. 106 395 (1994) [JETP 79 220 (1994)]
  59. Kudryavtsev A G, Sapozhnikov O A Akust. Zh. 44 628 (1998) [Acoust. Phys. 44 541 (1998)]
  60. Kudryavtsev A G, Sapozhnikov O A Akust. Zh. 44 808 (1998) [Acoust. Phys. 44 704 (1998)]
  61. Andreev V G et al. Akust. Zh. 43 149 (1997) [Acoust. Phys. 43 123 (1997)]
  62. Karabutov A A, Rudenko O V Akust. Zh. 25 536 (1979) [Sov. Phys. Acoust. 25 306 (1979)]
  63. Karabutov A A, Rudenko O V Dokl. Akad. Nauk SSSR 248 (5, 1979)
  64. Fink M, in Book of Abstracts of "Ultrasonics International 2003" Conf., Granada, Spain, June 30 – July 3, 2003
  65. Rudenko O V, in Advances in Nonlinear Acoustics (Ed. H Hobæk, Singapore: World Scientific, 1993) p. 3
  66. Rudenko O V, Sapozhnikov O A Kvantovaya Elektron. 20 1028 (1993) [Quantum Electron. 23 896 (1993)]
  67. Rudenko O V, Sukhorukov A A Akust. Zh. 41 822 (1995) [Acoust. Phys. 41 725 (1995)]
  68. Rudenko O V, Sukhorukov A A Izv. Ross. Akad. Nauk Ser. Fiz. 60 (12) 6 (1996)
  69. Lee-Bapty I P, Crighton D G Philos. Trans. R. Soc. London Ser. A 323 173 (1987)
  70. Ovsyannikov L V Gruppovoi Analiz Differentsial’nykh Uravnenii (Group Analysis of Differential Equations, Moscow: Nauka, 1978) [Translated into English (New York: Academic Press, 1982)]
  71. Ibragimov N Kh Gruppy Preobrazovanii v Matematicheskoi Fizike (Transformation Groups in Mathematical Physics, Moscow: Nauka, 1983) [Translated into English: Transformation Groups Applied to Mathematical Physics (Dordrecht: D. Reidel, 1985)]
  72. Vinogradov A M, Krasil’shchik I S, Lychagin V V Vvedenie v Geometriyu Lineinykh Differentsial’nykh Uravnenii (Introduction to the Geometry of Linear Differential Equations, Moscow: Nauka, 1986)
  73. Olver P J Applications of Lie Groups to Differential Equations (New York: Springer-Verlag, 1986) [Translated into Russian (Moscow: Mir, 1989)]
  74. Vinogradov A M, Vorob’ev E M Akust. Zh. 22 23 (1976)
  75. Kodama Y Phys. Lett. A 129 223 (1988)
  76. Ibragimov N H (Ed.) CRC Handbook of Lie Group Analysis of Differential Equations Vol. 1 Symmetries, Exact Solutions, and Conservation Laws; Vol. 2 Applications in Engineering and Physical Sciences; Vol. 3 New Trends in Theoretical Developments and Computational Methods (Boca Raton, Florida: CRC Press, 1994 – 1996)
  77. Talanov V I Pis’ma Zh. Eksp. Teor. Fiz. 11 103 (1970) [JETP Lett. 11 64 (1970)]
  78. Sapozhnikov O A, Kudryavtsev A G, in Proc. of the 16th Intern. Congress on Acoustics and 135th Meeting of Acoustical Society of America Vol. 1 (Eds P K Kuhl, L A Crum, Woodbury, NY: Acoustical Society of America, 1998) p. 529
  79. Makov Yu N, Sapozhnikov O A Akust. Zh. 40 1003 (1994) [Acoust. Phys. 40 889 (1994)]
  80. Landau L D, Lifshitz E M Teoriya Polya (Field Theory, Moscow: Nauka, 1988) [Translated into English: The Classical Field Theory (Oxford: Pergamon Press, 1975)]
  81. Vlasov S N, Petrishchev V A, Talanov V I Izv. Vyssh. Uchebn. Zaved. Radiofiz. 14 1353 (1971) [Radiophys. Quantum Electron. 14 1062 (1971)]
  82. Kuznetsov E A Izv. Vyssh. Uchebn. Zaved. Radiofiz. 46 342 (2003) [Radiophys. Quantum Electron. 46 307 (2003)]
  83. Rudenko O V, Sapozhnikov O A Vestn. Mosk. Univ. Ser. 3 Fiz. Astron. 46 (1) 5 (1991) [Moscow Univ. Phys. Bull. 46 5 (1991)]
  84. Rudenko O V, Sapozhnikov O A, in Nonlinear Acoustics (Research Trends in Physics, Eds K A Naugol’nykh, L A Ostrovsky, Woodbury, NY: American Institute of Physics, 1994)
  85. Khismatullin D B, Akhatov I Sh Phys. Fluids 13 3582 (2001)
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