Skip to main content
Log in

Point Source of SV-Shear Waves with Vertical Polarization in a Solid Layer

  • CLASSICAL PROBLEMS OF LINEAR ACOUSTICS AND WAVE THEORY
  • Published:
Acoustical Physics Aims and scope Submit manuscript

Abstract

The field of an SV-source of transverse waves in a solid homogeneous layer with free boundaries is found. In addition to transverse waves, longitudinal waves arise at these boundaries. The total field in the layer is characterized by scalar and vector potentials. Due to the axial symmetry of this field, the vector potential has only an angular component. The integral representation of the potentials was obtained by the Fourier–Bessel method. Based on residue theory, the field in the layer is represented as the superposition of cylindrical Lamb modes. The amplitudes of these modes are calculated.

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

Access this article

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

Instant access to the full article PDF.

Fig. 1.
Fig. 2.

REFERENCES

  1. A. V. Bakulin and L. G. Tyurikov, Acoust. Phys. 42 (6), 651 (1996).

    ADS  Google Scholar 

  2. Yu. M. Zaslavsky and V. Yu. Zaslavsky, Acoust. Phys. 55 (6), 910 (2009).

    Article  ADS  Google Scholar 

  3. S. V. Kuznetsov and E. O. Terentjeva, Acoust. Phys. 61 (3), 356 (2015).

    Article  ADS  Google Scholar 

  4. A. P. Kiselev and A. M. Tagirdzhanov, Acoust. Phys. 61 (4), 388 (2015).

    Article  ADS  Google Scholar 

  5. J. L. Nealy, J. M. Collis, and S. D. Frank, J. Acoust. Soc. Am. 139, EL95 (2016).

    Article  ADS  Google Scholar 

  6. Yuxiang Dai, Shouguo Yan, and Bixing Zhang, Acoust. Phys. 65 (3), 235 (2019).

    Article  ADS  Google Scholar 

  7. V. M. Babich and A. P. Kiselev, Elastic Waves. High-Frequency Theory (BKhV-Peterburg, St. Petersburg, 2014) [in Russian].

  8. K. Aki and P. G. Richards, Quantitative Seismology. Theory and Methods (W. H. Freeman and Co., San Francisco, 1980; Mir, Moscow, 1983).

  9. L. D. Landau and E. M. Lifshits, Elasticity Theory (Nauka, Moscow, 1965) [in Russian].

    Google Scholar 

  10. M. A. Isakovich, General Acoustics (Nauka, Moscow, 1973) [in Russain].

    Google Scholar 

  11. L. M. Brekhovskikh, Waves in Layered Media (Nauka, Moscow, 1973) [in Russian].

    Google Scholar 

  12. L. M. Brekhovskikh, Akust. Zh. 14 (2), 194 (1968).x

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to A. D. Lapin.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Lapin, A.D. Point Source of SV-Shear Waves with Vertical Polarization in a Solid Layer. Acoust. Phys. 69, 420–423 (2023). https://doi.org/10.1134/S1063771023600304

Download citation

  • Received:

  • Revised:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1134/S1063771023600304

Keywords:

Navigation