Abstract
We present here the results of applying resonance scattering theory to the problem of a plane acoustic wave scattering from a spherical shell with moderate thickness (with h = 1/32) and from a thick-walled shell (with h = 1/10). The computations have been carried out and analyzed in a broad frequency band (0 ≤ x ≤ 400) and for large orders of resonances (n ≲ 100). Attention is focused on the Lamb-type peripheral waves S j and A j (j = 0, 1, 2, 3, 4). The role of the so-called hidden resonances is elucidated.
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
R.R. Goodman, R. Stern: Reflection and transmission of sound by elastic spherical shells. J. Acoust. Soc. Am. 34, 338–344 (1962)
N.D. Veksler: Phase velocities of the Lamb-type and Stoneley-type waves in the problem of acoustic wave scattering on a hollow elastic sphere. Akust. Zh. 37, 42–45 (1991) (in Russian)
N.D. Veksler: Scattering of an acoustic wave by an elastic sphere. Proc. Estonian Acad. Sci., Phys. Math. 39, 133–138 (1990) (in Russian)
M. Talmant, H. Überall, R.D. Miller, M.F. Werby, J.W. Dickey: Lamb waves and fluid-borne waves on water-loaded, air-filled thin spherical shells. J. Acoust. Soc. Am. 86, 278–289 (1989)
N.D. Veksler: Analysis of the frequency dependence of plane pressure wave scattering by an elastic tube. Acoust. Lett. 12, 21–27 (1988)
N.D. Veksler: The analysis of peripheral waves in the problem of plane acoustic pressure wave scattering by a circular cylindrical shell. Acustica 69, 63–72 (1989)
J.D. Kaplunov: On the integration of equations of a dynamic boundary-layer. Trans. Acad. Sci. USSR, Mekh. Tverd. Tela. 148–160 (1990)
N.D. Veksler, J.D. Kaplunov, V.M. Korsunskii: Asymptotic formulas for resonance frequencies in the scattering of an acoustic wave from a cylindrical shell at normal incidence. Akust. Zh. 36, 399–404 (1990)
N.D. Veksler: Ultrasonic scattering from cylindrical and spherical shells. Proc. Inst. Acoust. 12, 799–807 (1990)
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 1993 Springer-Verlag Berlin Heidelberg
About this chapter
Cite this chapter
Veksler, N.D., Überall, H. (1993). Peripheral Waves in the Scattering by Spherical Shells. In: Überall, H. (eds) Resonance Acoustic Spectroscopy. Springer Series on Wave Phenomena, vol 11. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-84795-0_10
Download citation
DOI: https://doi.org/10.1007/978-3-642-84795-0_10
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-84797-4
Online ISBN: 978-3-642-84795-0
eBook Packages: Springer Book Archive