Open AccessThe turning point of elastic waves in transversely isotropic media
Author(s) -
Yedlin M. J.,
Seymour B. R.
Publication year - 1980
Publication title -
geophysical journal of the royal astronomical society
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.302
H-Index - 168
eISSN - 1365-246X
pISSN - 0016-8009
DOI - 10.1111/j.1365-246x.1980.tb04295.x
Subject(s) - propagator , transverse isotropy , formalism (music) , mathematical analysis , isotropy , turning point , physics , mathematics , classical mechanics , optics , mathematical physics , acoustics , art , musical , visual arts , period (music)
Summary. The use of asymptotic propagator formalism is applied to the study of quasi P – SV waves in transversely isotropic media. The case considered here is for media which do not have cusps in the wave surface (geometrical description of the Green's function). The asymptotic solutions of the relevant propagator equations are obtained after the application of a series of transformations. Finally, the solutions are described in terms of Hankel functions of 1/3 order. At large distances from the turning point, these expressions reduce to the simple phase functions used in the geometrical optics approximation.