Skip to main content
SpringerLink
Log in

Formation of a narrow sound beam in the underwater sound channel by a vertical array

  • Ocean Acoustics and Underwater Sound
  • Published:
Acoustical Physics Aims and scope Submit manuscript

Abstract

The possibility of using a vertical array for the generation of a narrow wave beam that propagates in the underwater sound channel along a given reference ray is discussed. The variational problem of choosing the initial field at the array aperture to provide the minimal possible average beam width along the propagation path of a fixed length is solved.

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. M. M. Dargeiko, Yu. A. Kravtsov, V. G. Petnikov, A. S. Petrosyan, Yu. I. Samoilenko, and M. M. Slavinskii, Izv. Vyssh. Uchebn. Zaved., Ser. Radiofiz. 27, 746 (1984).

    ADS  Google Scholar 

  2. V. I. Talanov, Izv. Vyssh. Uchebn. Zaved., Ser. Radiofiz. 28, 872 (1985).

    ADS  Google Scholar 

  3. V. V. Goncharov and V. M. Kurtepov, Akust. Zh. 40, 773 (1994) [Acoust. Phys. 40, 685 (1994)].

    Google Scholar 

  4. Yu. V. Petukhov, D. I. Abrosimov, and E. L. Borodina, Akust. Zh. 52, 367 (2006) [Acoust. Phys. 52, 307 (2006)].

    Google Scholar 

  5. L. M. Brekhovskikh and Yu. P. Lysanov, Fundamentals of Ocean Acoustics (Nauka, Moscow, 2007; Springer, Berlin, 2003).

    Google Scholar 

  6. S. M. Rytov, Yu. A. Kravtsov, and V. I. Tatarskii, Introduction to Statistical Radio Physics (Nauka, Moscow, 1978), Part 2.

    Google Scholar 

  7. L. D. Landau and E. M. Lifshitz, Course of Theoretical Physics, Vol. 3: Quantum Mechanics: Non-Relativistic Theory, 3rd ed. (Nauka, Moscow, 1974; Pergamon, New York, 1977).

    Google Scholar 

  8. A. L. Virovlyansky and D. V. Nefedova, Radiophysics and Quantum Electronics 52, 41 (2009).

    Article  ADS  Google Scholar 

  9. A. K. Morozov and J. A. Colosi, J. Acoust. Soc. Am. 117, 1611 (2005).

    Article  ADS  Google Scholar 

  10. Yu. V. Petukhov and A. A. Khil’ko, Akust. Zh. 54, 796 (2008) [Acoust. Phys. 54, 689 (2008)].

    Google Scholar 

  11. A. L. Virovlyansky, Ray Theory of Long-Range Sound Propagation in the Ocean (IPF RAN, Nizh. Novgorod, 2006) [in Russian].

    Google Scholar 

  12. I. G. Kondrat’ev, G. V. Permitin, and A. I. Smirnov, Izv. Vyssh. Uchebn. Zaved., Ser. Radiofiz. 23, 1195 (1980).

    ADS  Google Scholar 

  13. G. V. Permitin and A. I. Smirnov, Zh. Eksp. Teor. Fiz. 109, 736 (1996) [JETP 82, 395 (1996)].

    Google Scholar 

  14. S. N. Vlasov and V. I. Talanov, Wave Self-Focusing (IPF RAN, Nizh. Novgorod, 1997) [in Russian].

  15. I. A. Okomel’kova and I. A. Shereshevskii, Preprint IPF RAN SSR No. 235 (1989).

Download references

Author information

Authors and Affiliations

  1. Institute of Applied Physics, Russian Academy of Sciences, ul. Ul’yanova 46, Nizhni Novgorod, 603950, Russia

    A. L. Virovlyansky & D. V. Nefedova

Authors
  1. A. L. Virovlyansky
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. D. V. Nefedova
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to A. L. Virovlyansky.

Additional information

Original Russian Text © A.L. Virovlyansky, D.V. Nefedova, 2010, published in Akusticheskiĭ Zhurnal, 2010, Vol. 56, No. 1, pp. 63–69.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Virovlyansky, A.L., Nefedova, D.V. Formation of a narrow sound beam in the underwater sound channel by a vertical array. Acoust. Phys. 56, 59–65 (2010). https://doi.org/10.1134/S1063771010010094

Download citation

  • Received:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1134/S1063771010010094

Keywords

Search

Navigation