Skip to main content
SpringerLink
Log in

Interference and phase structure of the low-frequency vector-scalar field in shallow water for variable reception or transmission depths

  • Remote Sensing of Natural Media
  • Published:
Physics of Wave Phenomena Aims and scope Submit manuscript

Abstract

Relations for calculating the amplitude and phase characteristics of sound pressure and orthogonal projections of the vibration velocity vector and phase gradient in shallow water have been derived. Dependences of the effective phase velocity of equivalent plane wave, orthogonal projections of the gradient of sound pressure phase, and projections of the vibration velocity vector on the transmitter (or receiver) depth are calculated for different frequencies and location depths of receivers (and transmitters). It is found that the horizontal projections of the vibration velocity vector and phase gradient satisfy the reciprocity principle whereas their vertical projections do not obey this principle. Therefore, the characteristics of the vertical components must be studied independently with variation in their transmission or reception depth. It is shown that, for low frequencies and variable transmitter or receiver depth, the effective phase velocities in interference maxima exceed generally the speed of sound in water by 5-15% or even more. Some recommendations on the use of sound field characteristics in the regions of maximum sound pressure for solving problems of direction finding and signal detection are formulated. The behavior of the characteristics of arrival angles of equivalent plane wave with variation in the transmission or reception depth are investigated.

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. A.B. Baggeroer and W.A. Kuperman, “Matched Field Processing in Ocean Acoustics,” in Acoustic Signal Processing for Ocean Exploration. Ed. by J.M.F. Moura and I.M.G. Lourtie (Kluwer Academic Publishers, Dordrecht, Boston, London, 1992), pp. 79–114.

    Google Scholar 

  2. B.G. Katsnel’son and V.G. Petnikov, Shallow Water Acoustics (Nauka, Moscow, 1997) [in Russian].

    Google Scholar 

  3. G.A. Grachev and G.N. Kuznetsov, “On the Average Rate for Phase Variation in the Acoustic Field along the Flat Waveguide,” Sov. Phys.-Acoust. 31(2), 266 (1985) [in Russian].

    Google Scholar 

  4. G.N. Kuznetsov and O.V. Lebedev, “The Possibility of Using the Equivalent Plane Wave Model to Increase the Efficiency of Taking Bearings of Low-Frequency Signals in Shallow Water,” Acoust. Phys. 58(5), 575 (2012).

    Article  ADS  Google Scholar 

  5. G.N. Kuznetsov and O.V. Lebedev, “Bearing Determination of Low-Frequency Sources in aWave Guide by Sonar Systems with Towed or Hull Antennas,” Gidroakustika. 17(1) (2013) [in Russian].

    Google Scholar 

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

    Google Scholar 

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

    Google Scholar 

  8. L.M. Brekhovskikh, Waves in Layered Media (Academic Press, N.Y., 1980).

    MATH  Google Scholar 

  9. V.A. Zhuravlev, I.K. Kobozev, and Yu.A. Kravtsov, “Detecting Dislocations by Measuring the Energy Flux of an Acoustic Field,” JETP. 77(5), 808 (1993).

    MathSciNet  ADS  Google Scholar 

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

    Google Scholar 

  11. D.E. Weston, “AMoire Fringe Analog of Sound Propagation in Shallow Water,” J. Acoust. Soc. Am. 65(2), 647 (1960).

    Article  ADS  Google Scholar 

  12. E. Skuchik, The Foundations of Acoustics (Springer, N.Y., 1971).

    Google Scholar 

  13. M.Ya. Isakovich, General Acoustics (Nauka, Moscow, 1973) [in Russian].

    Google Scholar 

  14. V.A. Eliseevnin and Yu.I. Tuzhilkin, “Acoustic Power Flux in a Waveguide,” Acoust. Phys. 47(6), 688 (2001).

    Article  ADS  Google Scholar 

  15. V.M. Kuz’kin, A.V. Ogurtsov, and V.G. Petnikov, “The Effect of Hydrodynamic Variability on Frequency Shifts of the Interference Pattern of a Sound Field in a Shallow Sea,” Acoust. Phys. 44(1), 77 (1998).

    ADS  Google Scholar 

  16. A.I. Belov and G.N. Kuznetsov, “Characteristics of Normal Waves Exited by Vertical Arrays in Shallow Sea,” Phys.Wave Phenom. 14(3), 66 (2006).

    Google Scholar 

  17. G.N. Kuznetsov and A.N. Stepanov, “The Field of an Equivalent Multipole Composite Radiator in a Waveguid,” Acoust. Phys. 53(3), 326 (2007).

    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

  2. Samara State University, ul. Akad. Pavlova 1, Samara, 443011, 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.

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Kuznetsov, G.N., Stepanov, A.N. Interference and phase structure of the low-frequency vector-scalar field in shallow water for variable reception or transmission depths. Phys. Wave Phen. 23, 279–291 (2015). https://doi.org/10.3103/S1541308X15040068

Download citation

  • Received:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.3103/S1541308X15040068

Keywords

Search

Navigation