## Exact elastodynamic Green functions for simple types
of anisotropy derived from higher-order ray theory

**Vaclav Vavrycuk**
### Summary

Using higher-order ray theory, we derived exact elastodynamic Green functions
for three simple types of homogeneous anisotropy. The first type displays
an orthorhombic symmetry, the other two types display transverse isotropy.
In all cases, the slowness surfaces of waves are either ellipsoids, spheroids
or spheres. All three Green functions are expressed by a ray series with
a finite number of terms. The Green functions can be written in explicit
and elementary form similar to the Stokes solution for isotropy. In two Green
functions, the higher-order ray approximations form a near-singularity term,
which is significant near a kiss singularity. In the third Green
function, the higher-order ray approximations also form a near-field term,
which is significant near the point source. No effect connected with the line
singularity was observed.

### Whole paper

The reprint is available in
PDF (666 kB).

*Studia geophys. geod.*, **45** (2001), 67-84.

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