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Surface wave ray tracing and azimuthal anisotropy: a generalized spherical harmonic approach
Article first published online: 8 FEB 2006
DOI: 10.1111/j.1365-246X.2006.02870.x
Additional Information
How to Cite
Boschi, L. and Woodhouse, J. H. (2006), Surface wave ray tracing and azimuthal anisotropy: a generalized spherical harmonic approach. Geophysical Journal International, 164: 569–578. doi: 10.1111/j.1365-246X.2006.02870.x
Publication History
- Issue published online: 8 FEB 2006
- Article first published online: 8 FEB 2006
- Accepted 2005 November 8. Received 2005 September 12; in original form 2005 March 17
- Abstract
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Keywords:
- global seismology;
- ray theory;
- ray tracing;
- seismic anisotropy;
- spherical harmonics;
- surface waves
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.