The Scattering of a Cylindrical Shear-Axial Wave by a Circular Cavity in Piezoelectric Crystal

Abstract

The features of a cylindrical shear-axial wave scattering by a circular cavity in piezoelectric crystal of 6(4)-class of symmetry are discussed. It is shown that the basic integral characteristics of scattering—scattering indicatrix and total cross-section scattering have large changes with approach of a linear shear-axial wave source to cavity boundary. The small-scale oscillations in spectra of scattering are caused by the interference contribution of waves circulating on a boundary as they are capable of effective capture by concave metallized boundary of a cavity.

Share and Cite:

E. Kosyak and N. Shevyakhov, "The Scattering of a Cylindrical Shear-Axial Wave by a Circular Cavity in Piezoelectric Crystal," Open Journal of Acoustics, Vol. 3 No. 4, 2013, pp. 103-109. doi: 10.4236/oja.2013.34016.

Conflicts of Interest

The authors declare no conflicts of interest.

References

[1] N. S. Shevyakhov, “Scattering of a Shear Wave from a Low-Ohmic Cylinder Cavity in a Piezoelectric of Class C6V (C4V),” Soviet Physical Acoustics, Vol. 24, No. 2, 1978, pp. 150-153.
[2] N. S. Shevyakhov, “Some Features of Transverse Wave Scattering on Cylindrical Cavity with Semiconductor in Hexagonal Piezoelectric,” Akusticheskij Zhurnal, Vol. 31, No. 3, 1985, pp. 380-384.
[3] N. S. Shevyakhov, “Total Scattering Cross-Section of a Shear Wave Scattered from a Cavity in a Hexagonal or Tetragonal Piezoelectric,” Acoustical Physics, Vol. 44, No. 6, 1998, pp. 747-749.
[4] N. S. Shevyakhov, “On Electrodynamic Addition to the Total Cross Section of Shear Wave Scattering by Cylindrical Cavity in a Piezoelectric Material,” Fisika Volnovykh Protsessov i Radiotekhnicheskie Sistemy, Vol. 2, No. 1, 1999, pp. 15-19.
[5] V. D. Natsik and K. A. Chishko, “Sound Radiation during Annihilation of Dislocations,” Fisika Tverdogo Tela, Vol. 14, No. 11, 1972, pp. 3126-3132.
[6] V. S. Boiko, R. I. Garber, V. F. Kivshik and L. F. Krivenko, “Experimental Investigation of the Transition Sound Radiation Emitted by Dislocations Emerging to the Surface,” Soviet Physics JETP, Vol. 44, No. 2, 1976, pp. 372-375.
[7] G. N. Watson, “A Treatise on the Theory of Bessel Functions,” Cambridge University Press, London, 1922.
[8] E. L. Shenderov, “Radiation and Scattering of Sound,” Sudostroenie, Leningrad, 1989.
[9] T. J. Cavicci and W. D. O’Brien, “Acoustic Scattering of an Incident Cylindrical Wave by an Infinite Circular Cylinder,” IEEE Transactions on Ultrasonics, Ferroelectrics and Frequency Contral, Vol. 35, No. 1, 1988, pp. 78-80.
http://dx.doi.org/10.1109/58.4152
[10] R. Truell, Ch. Elbaum and B. Chick, “Ultrasonic Methods in Solid State Physics,” Academic, New York, 1969.
[11] M. K. Balakirev and I. A. Gilinskii, “Waves in piezo-crystals,” Nauka, Novosibirsk, 1982.
[12] S. Arslanagic, R. W. Ziolkowski and O. Breinbjerg, “Exitation of an Electrically Small Metamaterial-Coated Cylinder by an Arbitrary Located Line Source,” Microwave and Optical Technology Letters, Vol. 48, No. 12, 2006, pp. 2598-2606. http://dx.doi.org/10.1002/mop.21990

Copyright © 2023 by authors and Scientific Research Publishing Inc.

Creative Commons License

This work and the related PDF file are licensed under a Creative Commons Attribution 4.0 International License.