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Interference phenomena in mediums having spherical interfaces
Author(s) -
Buldyrev V. S.,
Yanson Z. A.
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/rg003i001p00115
Subject(s) - bessel function , homogeneous , physics , formalism (music) , methods of contour integration , spherical wave , optics , mathematical analysis , interference (communication) , unit sphere , geometry , classical mechanics , mathematics , statistical physics , computer science , art , musical , visual arts , channel (broadcasting) , computer network
Phase and group velocities are computed for several of the lowest modes of Love waves for a homogeneous spherical annulus overlying a homogeneous sphere. The solution is obtained by evaluating the contour integrals in p space by a variety of asymptotic methods, each appropriate in a different range of frequency; p is the index of Bessel functions. Comparison is made with the corresponding solutions in a flat layer over a half‐space. Extension of the formalism is made to the case in which the inner sphere is inhomogeneous.