Abstract
An elastic body of spherical shape is the only one of all three-dimensional objects for which the exact solution of acoustic wave scattering can be obtained. Therefore, the problem of scattering from an elastic sphere has attracted the attention of investigators for a long time. The pioneering work by Faran [3.1] and Hickling [3.2–5] was followed by an impetuous stream of publications in which different, but very important, aspects of this problem were analyzed. The main attention was paid to the investigation of the form function and time dependence of the scattered acoustic pressure. The identification of the elastic body using information hidden in the scattered field was one of the ultimate aims.
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
J.J. Faran Jr.: Sound scattering by solid cylinders and spheres. J. Acoust. Soc. Am. 23, 405–418 (1951)
R. Hickling: Analysis of echoes from a solid elastic sphere in water. J. Acoust. Soc. Am. 34, 1582–1592 (1962)
R. Hickling: Analysis of echoes from a hollow metallic sphere in water. J. Acoust. Soc. Am. 36, 1124–1137 (1964)
K.J. Diercks, R. Hickling: Echoes from hollow aluminum spheres in water. J. Acoust. Soc. Am. 41, 380–393 (1967)
R. Hickling, R.W. Means: Scattering of frequency-modulated pulses by spherical elastic shells in water. J. Acoust. Soc. Am. 44, 1246–1252 (1968)
L. Flax, L.R. Dragonette, H. Überall: Theory of elastic resonance excitation by sound scattering. J. Acoust. Soc. Am. 63, 723–731 (1978)
N.D. Veksler, U.K. Nigul, R.A. Pukk: On the algorithm of computation by a Fourier series of echo-signals from elastic spherical objects in unbounded acoustic media. Trans. Acad. Sci. USSR, Mekh. Tverd. Tela, 71–83 (1970)
G.C. Gaunaurd, H. Überall: RST analysis of monostatic and bistatic acoustic echoes from an elastic sphere. J. Acoust. Soc. Am. 73, 1–12 (1983)
A.E.H. Love: A Treatise on the Mathematical Theory of Elasticity (Dover, New York 1944)
W.G. Neubauer, R.H. Vogt, L.R. Dragonette: Acoustic reflection from elastic spheres. I. Steady-state signals. J. Acoust. Soc. Am. 55, 1123–1129 (1974)
L.R. Dragonette, S.K. Numrich, L.J. Frank: Calibration technique for acoustic scattering measurements. J. Acoust. Soc. Am. 69, 1186–1189 (1981)
R.H. Vogt, W.G. Neubauer: Relationship between acoustic reflection and vibrational modes of elastic spheres. J. Acoust. Soc. Am. 60, 15–22 (1976)
J.D. Murphy, J. George, A. Nagl, H. Überall: Isolation of the resonant component in acoustic scattering from fluid-loaded elastic spherical shells. J. Acoust. Soc. Am. 65, 368–373 (1979)
R.R. Goodman, R. Stern: Reflection and transmission of sound by elastic spherical shells. J. Acoust. Soc. Am. 34, 338–344 (1962)
U.K. Nigul, Ja.A. Metsaveer, N.D. Veksler, M.E. Kutser: Echo Signals from Elastic Bodies (Academy of Sciences of the Estonian SSR, Tallinn 1974) (in Russian)
M.F. Werby: The isolation of resonances and the ideal acoustical background for submerged elastic shells. Acoust. Lett. 15, 65–69 (1991); The acoustical background for a submerged elastic shell. J. Acoust. Soc. Am. 90, 3279–3282 (1991)
H. Überall, G.C. Gaunaurd, J.D. Murphy: Acoustic surface wave pulses and the ringing of resonances. J. Acoust. Soc. Am. 72, 1014–1017 (1982)
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). Application of the Resonance Scattering Theory to Problems of Acoustic Wave Scattering by Elastic Spheres. 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_3
Download citation
DOI: https://doi.org/10.1007/978-3-642-84795-0_3
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-84797-4
Online ISBN: 978-3-642-84795-0
eBook Packages: Springer Book Archive