Hostname: page-component-84b7d79bbc-tsvsl Total loading time: 0 Render date: 2024-07-26T06:08:56.871Z Has data issue: false hasContentIssue false
  • English
  • Français

Wave Propagation in Dispersed Random Media

Published online by Cambridge University Press:  25 February 2011

Ping Sheng ,
Xiaodun Jing  and
Minyao Zhou
Ping Sheng
Affiliation:
Exxon Research & Engineering Co., Annandale, NJ 08801
Xiaodun Jing
Affiliation:
Exxon Research & Engineering Co., Annandale, NJ 08801
Minyao Zhou
Affiliation:
Exxon Research & Engineering Co., Annandale, NJ 08801
Get access

Abstract

We present a generalized coherent potential approximation for the identification of quasi propagating modes in dispersed random media and the calculation of their dispersion relations. The validity of this approach is supported by multiple-scattering calculations, numerical simulation, and comparison with experimental data on acoustic excitations in colloidal suspensions. Our theory yields excellent quantitative agreement with the measured dispersion relations and provides an explanation for the observed frequency gaps in the excitations spectra.

Type
Research Article
Information
MRS Online Proceedings Library (OPL) , Volume 253: Symposium V – Application of Multiple Scattering Theory to Materials Science , 1991 , 423
Copyright
Copyright © Materials Research Society 1992

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

REFERENCES

1. Biot, M. A., J. Acost. Soc. Am. 28, 168 (1956); 28, 5845 (1956).Google Scholar
2. Plona, T. J., Appl. Phys. Lett. 36, 259 (1980).Google Scholar
3. Schwartz, L., Plona, T. J., J. Appl. Phys. 55, 3971 (1984).Google Scholar
4. Schwartz, L., Johnson, D. L., Phys. Rev. B 30, 4302 (1984).Google Scholar
5. Faran, J. F. Jr., J. Acost. Soc. Am. 2, 405 (1951).Google Scholar
6. Fikioris, J. G., Waterman, P. C., J. Math. Phys. 5, 1413 (1964).Google Scholar
7. Waterman, P. C., J. Acost. Soc. Am. 45, 1417 (1969).Google Scholar
8. Tsang, L., Kong, J. A., J. Appl. Phys. 51, 3465 (1980), 52, 5448 (1981).Google Scholar
9. Tsang, L., Kong, J. A., Habashy, T., J. Acost. Soc. Am. 71, 552 (1982).Google Scholar
10. Devaney, A. J., J. Math. Phys. 21, 2603 (1980).Google Scholar
11. See Scattering and Localization of Classical Waves in Random Media. edited by Sheng, P. (World Scientific, Singapore, 1990).Google Scholar
12. Liu, J., Ye, L., Weitz, D. A., and Sheng, Ping, Phys. Rev. Lett. 65, 2602 (1990).Google Scholar
13. Jing, X., Sheng, P., and Zhou, M., Phys. Rev. Lett. 66, 1240 (1991).Google Scholar
14. See, for example, Brekhovskikh, L. M., Wave in Layered Media (Academic, New York, 1980).Google Scholar
15. See Economou, E. N., Green's Function in Ouantum Physics (Springer-verlag, New York, 1983), 2nd. ed., p. 141.Google Scholar
16. Jing, X., Sheng, P., Zhou, M., to be published.Google Scholar
17. Fornberg, B., Geophysics 52, 483 (1987).Google Scholar