Localization of Rayleigh waves
نویسندگان
چکیده
We study the localization of Rayleigh waves propagating in a semi-infinite and isotropic medium with inhomogeneities that are modeled as rods parallel to the incoming wave front and are distributed randomly up to a maximum depth. For a perfectly smooth surface, the localization length of a Rayleigh wave is predicted to reach a minimum at intermediate wavelength l and to diverge for both low and large values of l. For large l, the divergence results from the fact that the strength of each scatterer is proportional to v, where v is the angular frequency of the incident Rayleigh wave. For small l, the divergence results from Rayleigh waves propagating closer to the surface and therefore being sensitive to a decreasing number of impurities.
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