Skip to main content
SpringerLink
Log in

Approximate analytic representations of laws of attenuation in vector-scalar fields of multipole sources in a Pekeris waveguide

  • Ocean Acoustics. Hydroacoustics
  • Published:
Acoustical Physics Aims and scope Submit manuscript

Abstract

We obtain, and compare with exact solutions, the approximate analytic relations that determine, for increasing distance, irregularities of attenuation in the regular sound pressure components and orthogonal projections of the oscillation velocity vectors of low-frequency signals formed in a waveguide by various multipoles. We show that the mentioned field characteristics essentially depend on the type of multipole, the distance between the source and receivers, and the specific features of the received scalar or vector field components. It is established that the approximating dependences agree well with the exact laws of attenuation in the field and, despite the variety of dependences, they are divided into three compact groups with uniform characteristics.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

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

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

References

  1. I. Ya. Minionich, A. D. Pernik, and V. S. Petrovskiy, Hydrodynamic Sources of Sound (Sudostroenie, Leningrad, 1972) [in Russian].

    Google Scholar 

  2. Yu. L. Levkovskii and Yu. S. Yakovleva, Acoust. Phys. 44 (2), 203–206 (1998).

    ADS  Google Scholar 

  3. B. N. Nekrasov, in Proc. Sci.-Pract. Conf. “Hydroakustika” (FGUP VNIIFTRI, Mendeleevo, 2016), pp. 20–51.

    Google Scholar 

  4. A. J. Haug, J. Acoust. Soc. Am. 57 (5), 1052–1061 (1975).

    Article  ADS  Google Scholar 

  5. L. M. Brekhovskikh, Waves in Layered Media (Akad. Nauk SSSR, Moscow, 1957) [in Russian].

    MATH  Google Scholar 

  6. G. A. Grachev, Sov. Phys. Acoust. 29 (2), 160–161 (1983).

    Google Scholar 

  7. I. V. Gindler and V. G. Petnikov, Sov. Phys. Acoust. 33 (2), 207–208 (1987).

    Google Scholar 

  8. G. A. Grachev and G. N. Kuznetsov, Sov. Phys. Acoust. 31 (5), 408–410 (1985).

    Google Scholar 

  9. B. G. Katsnelson and L. G. Kulagin, Sov. Phys. Acoust. 30 (5), 379–382 (1984).

    Google Scholar 

  10. Yu. A. Kravtsov and V. M. Kuz’kin, Sov. Phys. Acoust. 33 (2), 156–159 (1987).

    Google Scholar 

  11. V. M. Kuz’kin and T. A. Frolova, Sov. Phys. Acoust. 34 (5), 515–521 (1988).

    Google Scholar 

  12. A. N. Stepanov, Acoust. Phys. 42 (3), 375–379 (1996).

    ADS  MathSciNet  Google Scholar 

  13. G. N. Kuznetsov and A. N. Stepanov, Acoust. Phys. 53 (3), 333–344 (2013).

    Article  ADS  Google Scholar 

  14. R. J. Urick, Principles of Underwater Sound (McGraw-Hill, New York, 1975; Sudostroenie, Leningrad, 1978).

    Google Scholar 

  15. Yu. A. Koryakin, S. A. Smirnov, and G. V. Yakovlev, Ship Acoustical Techniques: State and Actual Problems (Nauka, St-Petersburg, 2004) [in Russian].

    Google Scholar 

  16. G. I. Bykovtsev, G. N. Kuznetsov, and A. N. Stepanov, Doklady Akad. Nauk SSSR 280 (1), 57–59 (1985).

    Google Scholar 

  17. A. N. Stepanov, Multipole Model of Hydroacoustic Sources (Samar. Univ., Samara, 2000) [in Russian].

    Google Scholar 

  18. G. N. Kuznetsov and A. N. Stepanov, Acoust. Phys. 53 (3), 326–334 (2007).

    Article  ADS  Google Scholar 

  19. V. A. Gordienko, Vector-Phase Methods in Acoustics (FizMatLit, Moscow, 2007) [in Russian].

    Google Scholar 

  20. V. A. Shchurov, Ocean Vector Acoustics (Dal’nauka, Vladivostok, 2003) [in Russian].

    Google Scholar 

  21. I. S. Gradstein and I. M. Ryzhik, Tables of Integrals, Sums Series, and Products (Nauka, Moscow, 1963; Academic, New York, 1965).

    Google Scholar 

  22. A. I. Belov and G. N. Kuznetsov, Acoust. Phys. 62 (3), 319–327 (2016).

    Article  ADS  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Wave Research Center, Prokhorov General Physics Institute, Russian Academy of Sciences, ul. Vavilova 38, Moscow, 119991, Russia

    G. N. Kuznetsov & A. N. Stepanov

  2. Samara National Research University n.a. Academician S.P. Korolev, Moskovskoe shosse 34, Samara, 443086, Russia

    A. N. Stepanov

Authors
  1. G. N. Kuznetsov
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. A. N. Stepanov
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to G. N. Kuznetsov.

Additional information

Original Russian Text © G.N. Kuznetsov, A.N. Stepanov, 2017, published in Akusticheskii Zhurnal, 2017, Vol. 63, No. 6, pp. 623–636.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Kuznetsov, G.N., Stepanov, A.N. Approximate analytic representations of laws of attenuation in vector-scalar fields of multipole sources in a Pekeris waveguide. Acoust. Phys. 63, 660–672 (2017). https://doi.org/10.1134/S1063771017060082

Download citation

  • Received:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1134/S1063771017060082

Keywords

Search

Navigation