Open AccessFurther Remarks on Extra Roots of Rayleigh Equation and Somigliana Waves
Author(s) -
A. L. Levshin,
G. F. Panza
Publication year - 2011
Publication title -
annals of geophysics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.394
H-Index - 60
eISSN - 2037-416X
pISSN - 1593-5213
DOI - 10.4401/ag-5142
Subject(s) - phase velocity , rayleigh wave , dispersion (optics) , physics , dispersion relation , mechanics , phase (matter) , rayleigh scattering , longitudinal wave , classical mechanics , wave propagation , optics , quantum mechanics
The extra roots of the Rayleigh equation for an elastic
halfspace contribute to the solution only for large enough values of the
Poisson coefficient (a > 0.309). One of them corresponds to leaking modes
with the phase velocity less than the velocity of the longitudinal wave.
A similar wave with distinct dispersion may exists in the case where an
elastic halfspace is covered by a thin layer with lower velocities of elastic
waves. The thickness of a layer should be not too small in comparison
with the wave length
halfspace contribute to the solution only for large enough values of the
Poisson coefficient (a > 0.309). One of them corresponds to leaking modes
with the phase velocity less than the velocity of the longitudinal wave.
A similar wave with distinct dispersion may exists in the case where an
elastic halfspace is covered by a thin layer with lower velocities of elastic
waves. The thickness of a layer should be not too small in comparison
with the wave length