Abstract
The angular dependence of the intensity of acoustic waves scattered diffusely from a random grating surface that is stress free is calculated. The waves are assumed to be incident on the surface from within the solid. The calculation proceeds by means of a diagrammatic expansion of the intensity of the scattered radiation in powers of the surface profile function, similar to the one used by Vollhardt and Wölfle in their study of electrons in a disordered medium. A striking feature of the resulting differential reflection coefficient is a narrow peak in the retroreflection direction, whose intensity is polarization-dependent. Under appropriate conditions this feature is related to the surface roughness-induced localization of Rayleigh waves along the surface. The width of the peak in the differential reflection coefficient under these conditions provides a determination of the localization length of the Rayleigh wave, i.e. the distance along the surface over which its displacement field is sensibly nonzero.
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References
A. G. Eguiluz and A. A. Maradudin: Phys. Rev. B28, 711 (1983);
A. G. Eguiluz and A. A. Maradudin: Phys. Rev. B28, 728 (1983).
E. Abrahams, P. W. Anderson, D. C. Liciardello, and T. V. Ramakrishnan: Phys. Rev. Lett. 42, 673 (1979).
N. F. Mott and W. D. Twose: Adv. Phys. 10, 107 (1961).
A. A. Maradudin: in Surface Polaritons, eds. V. M. Agranovich and D. L. Mills (North-Holland, Amsterdam, 1982 ), p. 405.
G. C. Brown, V. Celli, M. Haller, and A. Marvin: Surf. Sci. 136, 381 (1984).
A. A. Abrikosov, L. P. Gor°kov and I. E. Dzyaloshinskii, Quantum Field Theoretical Methods in Statistical Physics ed. R. A. Silverman, ( Pergamon Press, Oxford 1963 ), p. 327.
D. Vollhardt and P. Wôlfle: Phys. Rev. B22, 4666 (1980);
D. Vollhardt and P. Wôlfle: in Anderson Localization, eds. Y. Nagaoka and H. Fukuyama, ( Springer-Verlag, New York, 1982 ), p. 26.
G. Bergmann: Phys. Rev. B28, 2914 (1983).
A. R. McGurn and A. A. Maradudin: (unpublished work).
A. R. McGurn, A. A. Maradudin, and V. Celli: Phys. Rev. B31, 4866 (1985);
V. Celli, A. A. Maradudin, A. M. Marvin and A. R. McGurn: J. Opt. Soc. Am. Al2, 2225 (1985);
A. R. McGurn and A. A. Maradudin: J. Opt. Soc. Am. B6, 910 (1987).
A. A. Maradudin, A. R. McGurn, R. S. Dummer, Zu-Han Gu, A. Wirgin and W. Zierau: In Proceedings of the 3rd Bilateral US-USSR Symposium on Laser Optics of Condensed Matter, (Plenum, New York, 1987), (to appear).
E. R. Mendez and K. A. O’Donnell: Optics Commun. 61, 91 (1987).
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© 1988 Springer-Verlag Berlin Heidelberg
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McGurn, A.R., Maradudin, A.A. (1988). Localization Effects in the Scattering of Acoustic Waves from a Random Stress-free Grating Surface. In: Parker, D.F., Maugin, G.A. (eds) Recent Developments in Surface Acoustic Waves. Springer Series on Wave Phenomena, vol 7. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-83508-7_14
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DOI: https://doi.org/10.1007/978-3-642-83508-7_14
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