Open AccessGaussian beams for surface waves in transversely isotropic media
Author(s) -
Yomogida Kiyoshi
Publication year - 1987
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.1987.tb01381.x
Subject(s) - transverse isotropy , isotropy , seismogram , eigenfunction , gaussian beam , rayleigh wave , gaussian , surface wave , geometry , physics , geology , phase velocity , wave propagation , surface (topology) , optics , beam (structure) , classical mechanics , mathematics , seismology , eigenvalues and eigenvectors , quantum mechanics
Summary We present formulae for the application of the Gaussian beam method to surface waves propagating in a transversely isotropic medium with slowly varying lateral heterogeneities. Average vertical structures are represented in terms of Love and Rayleigh wave eigenfunctions determined using normal mode theory. Such eigenfunctions are considered to propagate along the surface following a phase velocity map, similar to the 2‐D body wave case with lateral heterogeneities. Final results are almost identical to those for a perfectly isotropic case. Thus, we can extend all the concepts and schemes for an isotropic medium to a more general transversely isotropic medium without any major modifications to obtain synthetic seismograms.