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Multiply Scattered and Diffusing Ultrasound: Applications, Experiments, Theory

Published online by Cambridge University Press:  25 February 2011

Richard L Weaver
Richard L Weaver*
Affiliation:
Department of Theoretical and Applied Mechanics, University of Illinois, Urbana, II 61801
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Abstract

The study of ultrasonic waves in random media in a strong multiple scattering limit is becoming increasingly relevant to applied techniques of nondestructive characterization of material microstructures. This paper reviews the state of that art within the context of engineering applications and also reviews the evidence for the Anderson Localization of ultrasound.

While ultrasound has long been employed as a nondestructive probe of material microstructure, it has usually been the rapidly attenuated coherent wave, and in particular, its speed and attenuation, which has been scrutinized for that purpose. The theory of such waves is discussed here. However, recent experiments and theory are increasingly addressing the diffuse speckle wave field. This small but growing body of work is also reviewed.

While there has been much work recently on optical and microwave realizations for the study of the Anderson localization of classical waves, there has been little such investigation with sound waves. Recent work demonstrating the Anderson Localization of Ultrasound in two dimensions may be the first such for any classical waves in dimension greater than one.

Type
Research Article
Information
MRS Online Proceedings Library (OPL) , Volume 253: Symposium V – Application of Multiple Scattering Theory to Materials Science , 1991 , 141
Copyright
Copyright © Materials Research Society 1992

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References

1. Varadan, V.V., Ma, Y.K. and Varadan, V.K., J Acoust Soc Am. 80, 333–339 (1986)Google Scholar
2. Weaver, R.L., J Acoust Soc Am. 88, S46 (1990)Google Scholar
3. Hirsekorn, S. J Acoust Soc Am. 79, 1269 (1986)Google Scholar
4. Stanke, F.E. and Kino, G., J Acoust Soc Am. 80, 1479 (1986)Google Scholar
5. Karal, F.C. and Keller, J.B. J. Math Phys 5, 537 (1964)Google Scholar
6. Roth, L., Phys Rev B9, 2476 (1974)Google Scholar
7. Schwartz, L. and Plona, T.J., J Appl Phys 5, 3971 (1984)Google Scholar
8. Goebbels, K., “Structure Analysis by Scattered Ultrasonic Radiation”, Research Techniques in Non-destructive Testing, Sharpe, R., ed. (Academic Press, NY 1980).Google Scholar
9. Margetan, F.J., Gray, T.A. & Thompson, R.B., in Review of Progress in QNDE 10 (1990)Google Scholar
10. Guo, C.B., Holler, P., and Goebbels, K., Acustica, 59, 112–120 (1985).Google Scholar
11. Weaver, R., in Non-Destructive Testing and Evaluation in Manufacturing and Construction. Henrique Reis, L. M. dos, ed. Hemisphere p425–434, (1990).Google Scholar
12. Weaver, R., Sachse, W., Green, K., and Zhang, Y., “Diffuse ultrasound in polycrystalline solids,” Proceedings of Ultrasonics International, Le Touquet, France, July 1991 Google Scholar
13. Weaver, R.L., “Diffusivity of Ultrasound”, J. Mech.and Phys. Solids, 38, 55 1990.Google Scholar
14. Genack, A. Z. and Garcia, N., Phys. Rev. Lett. 66, 2064 (1991)Google Scholar
15. Weaver, R., Wave Motion, 12, 129–142(1990)Google Scholar