Open AccessSurface wave ray tracing and azimuthal anisotropy: a generalized spherical harmonic approach
Author(s) -
Boschi Lapo,
Woodhouse John H.
Publication year - 2006
Publication title -
geophysical journal international
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.302
H-Index - 168
eISSN - 1365-246X
pISSN - 0956-540X
DOI - 10.1111/j.1365-246x.2006.02870.x
Subject(s) - spherical harmonics , parametrization (atmospheric modeling) , anisotropy , azimuth , surface (topology) , tensor (intrinsic definition) , great circle , ray tracing (physics) , physics , geometry , trace (psycholinguistics) , classical mechanics , mathematical analysis , harmonic , mathematics , optics , acoustics , linguistics , philosophy , radiative transfer
SUMMARY We explain in detail how azimuthally anisotropic maps of surface wave phase velocity can be parametrized in terms of generalized spherical harmonic functions, and why this approach is preferable to others; most importantly, generalized spherical harmonics are the only basis functions adequate to describe a tensor field everywhere on the unit sphere, including the poles of the reference frame. We introduce here a new algorithm, designed specifically for the generalized harmonic parametrization, to trace surface wave ray paths in the presence of laterally varying azimuthal anisotropy. We describe the algorithm, and prove its reliability in view of future applications.