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Interfering waves at the surface of an elastic inhomogeneous sphere
Author(s) -
Buldyrev V. S.,
Lanin A. I.
Publication year - 1965
Publication title -
reviews of geophysics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 8.087
H-Index - 156
eISSN - 1944-9208
pISSN - 8755-1209
DOI - 10.1029/rg003i001p00049
Subject(s) - physics , mechanical wave , surface wave , surface (topology) , love wave , gravity wave , rayleigh wave , classical mechanics , longitudinal wave , saddle point , optics , geometry , wave propagation , mathematics
If a harmonic surface source of SH is applied to a homogeneous sphere, the body waves can be found by ray theory. Attention is focused on the body waves which undergo multiple reflections at shallow angles at the surface of the sphere. When the order of the reflections becomes large, these reflected waves interfere and are identified as surface waves. The surface waves can be computed from the body waves by an application of Watson's lemma and the saddle point method of integration. The extension to an inhomogeneous sphere is not difficult formally.