Skip to main content

Influence of Oceanic Synoptic Eddies on the Duration of Modal Acoustic Pulses

Radiophysics and Quantum Electronics volume 59, pages 576–591 (2016)Cite this article

We consider the problem of scattering of the modal acoustic pulses from synoptic eddies with allowance for the influence of the field of internal waves. The ray formalism in terms of the action–angle variables is used. The synoptic-eddy induced distortion of the sound-speed profile is shown to enhance the scattering of certain ray bundles from internal waves. The formulas allowing one to identify the modal pulses corresponding to such ray bundles are derived. These pulses differ from the other ones by increased duration. This fact can be used for obtaining additional information during acoustic tomography. The model of the underwater acoustic channel in the Sea of Japan is considered as an example.

This is a preview of subscription content, access via your institution.

Access options

Buy single article

Instant access to the full article PDF.

USD 39.95

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

References

  1. W. Munk and C. Wunsch, Deep-Sea Res., 26, No. 2, 123 (1979).

    Article  ADS  Google Scholar 

  2. F.D. Tappert and X. Tang, J. Acoust. Soc. Am., 99, No. 1, 185 (1979).

    Article  ADS  Google Scholar 

  3. A. L. Virovlyansky, The Ray Theory of the Long-Distance Propagation of Sound in the Ocean [in Russian], Inst. Appl. Phys., Nizhny Novgorod (2006).

  4. D. Makarov, S. Prants, A. Virovlyansky, and G. Zaslavsky, Ray and Wave Chaos in Ocean Acoustics: Chaos in Waveguides, World Scientific, Singapore (2010).

    MATH  Google Scholar 

  5. S. S. Abdullaev and G.M. Zaslavskii, Sov. Phys.-Uspekhi, 34, No. 8, 645 (1991).

    Article  ADS  Google Scholar 

  6. M. G. Brown, J. A. Colosi, S. Tomsovic, et al., J. Acoust. Soc. Am., 113, No. 5, 2533 (2003).

    Article  ADS  Google Scholar 

  7. A. L. Virovlyanskii and G.M. Zaslavskii, Acoust. Phys., 53, No. 3, 282 (2007).

    Article  ADS  Google Scholar 

  8. A. L. Virovlyansky, D. V. Makarov, and S.V. Prants, Physics—Uspekhi, 55, No. 1, 18 (2012).

    ADS  Google Scholar 

  9. A. V. Chigarev and Yu. V. Chigarev, Akust. Zh., 24, No. 5, 765 (1978).

    MathSciNet  Google Scholar 

  10. D. Palmer, M. Brown, F. Tappert, and H. Bezdek, Geophys. Res. Lett., 15, No. 6, 569 (1988).

    Article  ADS  Google Scholar 

  11. M. A. Wolfson and S. Tomsovic, J. Acoust. Soc. Am., 109, No. 6, 2693 (2001).

    Article  ADS  Google Scholar 

  12. I.P. Smirnov, A. L. Virovlyansky, and G.M. Zaslavsky, Phys. Rev. E, 64, No. 3, 036221 (2001).

    Article  ADS  Google Scholar 

  13. N.R. Cerruti and S. Tomsovic, Phys. Rev. Lett., 88, No. 5, 054103 (2002).

    Article  ADS  Google Scholar 

  14. A. L. Virovlyansky, J. Acoust. Soc. Am., 113, No. 5, 2523 (2003).

    Article  ADS  Google Scholar 

  15. F. J. Beron-Vera, M. G. Brown, J. A. Colosi, et al., J. Acoust. Soc. Am., 114, No. 3, 1226 (2003).

    Article  ADS  Google Scholar 

  16. D. V. Makarov, M. Yu. Uleysky and S.V. Prants, Chaos, 14, No. 1, 79 (2004).

    Article  ADS  Google Scholar 

  17. A. K. Morozov and J.A. Colosi, J. Acoust. Soc. Am., 117, No. 3, Pt. 2, 1611 (2005).

  18. I.P. Smirnov, A. L. Virovlyansky, M. Edelman, and G.M. Zaslavsky, Phys. Rev. E, 72, No. 2, 026206 (2005).

    Article  ADS  MathSciNet  Google Scholar 

  19. D. V. Makarov, M. Yu. Uleysky, M.V. Budyansky, and S.V. Prants, Phys. Rev. E, 73, No. 6, 066210 (2006).

    Article  ADS  MathSciNet  Google Scholar 

  20. D. V. Makarov and M. Yu. Uleyskiy, Acoust. Phys., 53, No. 4, 495 (2007).

    Article  ADS  Google Scholar 

  21. O.A. Godin, J. Acoust. Soc. Am., 122, No. 6, 3553 (2007).

    Article  Google Scholar 

  22. W. Munk and C. Wunsch, Rev. Geophys. Space Phys., 21, No. 4, 777 (1983).

    Article  ADS  Google Scholar 

  23. E. C. Shang, J. Acoust. Soc. Am., 85, No. 4, 1531 (1989).

    Article  ADS  Google Scholar 

  24. R.M. Jones, E. C. Shang, and T.M. Georges, J. Acoust. Soc. Am., 94, No. 4, 2296 (1993).

    Article  ADS  Google Scholar 

  25. K. C. Hegewisch, N. R. Cerruti, and S. Tomsovic, J. Acoust. Soc. Am., 117, No. 4, Pt. 2, 1582 (2005).

  26. D. V. Makarov and L. E. Kon’kov, Nelin. Din., 3, No. 2, 157 (2007).

    Article  Google Scholar 

  27. L. E. Kon’kov, D. V. Makarov, E. V. Sosedko, and M. Yu. Uleysky, Phys. Rev. E, 76, No. 5, 056212 (2007).

    Article  ADS  Google Scholar 

  28. D. V. Makarov, L. E. Kon’kov, and M. Yu. Uleysky, Acoust. Phys., 54, No. 3, 382 (2008).

    Article  ADS  Google Scholar 

  29. K.E. Wage, M.A. Dzieciuch, P. F. Worcester, et al., J. Acoust. Soc. Am., 117, No. 3, Pt. 2, 1565 (2005).

  30. I. Udovydchenkov and M. G. Brown, J. Acoust. Soc. Am., 123, No. 1, 41 (2008).

    Article  ADS  Google Scholar 

  31. A. L. Virovlyansky and G. M. Zaslavsky, Phys. Rev. E, 59, No. 2, 1656 (1999).

    Article  ADS  MathSciNet  Google Scholar 

  32. M. G. Brown and I. A. Udovydchenkov, Acoust. Phys., 59, No. 5, 533 (2013).

    Article  ADS  Google Scholar 

  33. V. V. Bezotvetnykh, A.V. Burenin, Yu. N. Morgunov, and Yu. A. Polovinka, Acoust. Phys., 55, No. 3, 376 (2009).

    Article  ADS  Google Scholar 

  34. R.C. Spindel, J. Na, P.H. Dahl, et al., IEEE J. Ocean. Engin., 28, No. 2, 297 (2003).

    Article  Google Scholar 

  35. D. V. Makarov, L. E. Kon’kov, M. Yu. Uleysky, and P. S. Petrov, Phys. Rev. E, 87, No. 1, 012911 (2013).

    Article  ADS  Google Scholar 

  36. L. M. Brekhovskikh, V.V. Goncharov, S.A. Dremuchev, et al., Akust. Zh., 36, No. 5, 842 (1990).

    Google Scholar 

  37. I.P. Smirnov, J. V. Caruthers, and A. I. Khil’ko, Radiophys. Quantum Electron., 42, No. 10, 864 (1999).

    Article  ADS  Google Scholar 

  38. Yu. V. Petukhov, D. I. Abrosimov, and E. L. Borodina, Acoust. Phys., 52, No. 3, 307 (2006).

    Article  ADS  Google Scholar 

  39. M. Yu. Uleysky, M.V. Budyansky, and S.V. Prants, JETP, 111, No. 6, 1039 (2010).

    Article  ADS  Google Scholar 

  40. D. Constantinescu and M.-C. Firpo, Int. J. Bifur. Chaos, 23, No. 2, 1350034 (2013).

    Article  MathSciNet  Google Scholar 

  41. A. L. Virovlyansky, A. Yu. Kazarova, and L. Ya. Lyubavin, Wave Motion, 42, No. 4, 317 (2005).

  42. A. L. Virovlyansky, A. Yu. Kazarova, and L. Ya. Lyubavin, Acoust. Phys., 56, No. 3, 317 (2010).

  43. A. I. Neishtadt and I. V. Gorelyshev, Nonlinearity, 18, No. 4, 1393 (2005).

    Article  ADS  MathSciNet  Google Scholar 

  44. I. V. Gorelyshev and A. I. Neishtadt, Math. Notes, 84, No. 3, 328 (2008).

    Article  MathSciNet  Google Scholar 

  45. D. V. Makarov, Tech. Phys. Lett., 34, No. 4, 303 (2008).

    Article  ADS  Google Scholar 

  46. D. V. Makarov and M. Yu. Uleysky, Commun. Nonlinear Sci. Numer. Simulat., 13, No. 2, 400 (2008).

    Article  ADS  Google Scholar 

  47. D. V. Makarov, E. V. Sosedko, and M. Yu. Uleysky, Europ. Phys. J. B, 73, No. 4, 571 (2010).

  48. http://www.pacificinfo.ru.

  49. R. A. Vadov, Akust. Zh., 44, No. 5, 601 (1998).

    Google Scholar 

  50. A. L. Virovlyansky, A. Yu. Kazarova, and L. Ya. Lyubavin, Acoust. Phys., 54, No. 4, 486 (2008).

  51. O. A. Godin, V. U. Zavorotny, A. G. Voronovich, and V. V. Goncharov, IEEE J. Ocean. Eng., 31, No. 2, 384 (2006).

    Article  Google Scholar 

  52. C. Garrett and W. Munk, Geophys. Fluid Dyn., 2, No. 1, 225 (1972).

    Article  ADS  Google Scholar 

  53. J.A. Colosi and M.G. Brown, J. Acoust. Soc. Am., 103, No. 4, 2232 (1998).

    Article  ADS  Google Scholar 

  54. A. E. Gill, Atmosphere–Ocean Dynamics, Academic Press, New York (1982)

    Google Scholar 

  55. L.R. LeBlanc and F. H. Middleton, J. Acoust. Soc. Am., 67, No. 6, 2055 (1980).

    Article  ADS  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. V. I. Il’ichev Pacific Oceanological Institute of the Far Eastern Branch of the Russian Academy of Sciences, Vladivostok, Russia

    D. V. Makarov, L. E. Kon’kov & P. S. Petrov

  2. Far Eastern Federal University, Vladivostok, Russia

    P. S. Petrov

Authors
  1. D. V. Makarov
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. L. E. Kon’kov
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. P. S. Petrov
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to D. V. Makarov.

Additional information

Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Radiofizika, Vol. 59, No. 7, pp. 638–654, July 2016.

Rights and permissions

Reprints and Permissions

About this article

Verify currency and authenticity via CrossMark

Cite this article

Makarov, D.V., Kon’kov, L.E. & Petrov, P.S. Influence of Oceanic Synoptic Eddies on the Duration of Modal Acoustic Pulses. Radiophys Quantum El 59, 576–591 (2016). https://doi.org/10.1007/s11141-016-9724-4

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s11141-016-9724-4