## Phase shift of a general wavefield due to caustics
in anisotropic media

**Ludek Klimes**
### Summary

Equations are presented to determine the phase shift of the amplitude
of an elastic wavefield due to both simple (line) and point
caustics in heterogeneous anisotropic media.
The phase-shift rules for a general ray-theory wavefield
are expressed in terms of
the paraxial matrices calculated by
the Hamiltonian equations of geodesic deviation
(paraxial ray equations, dynamic ray tracing equations).
The phase-shift rules are derived both
for 2×2 paraxial matrices in ray-centred coordinates and
for 3×3 paraxial matrices in general coordinates.

### Keywords

Anisotropy, heterogeneity, elastic wavefield, ray theory,
caustics, KMAH index, paraxial rays.

### Whole paper

The paper is available in
PDF (145 kB).

*Seismic Waves in Complex 3-D Structures*, **24** (2014), 95-109
(ISSN 2336-3827, online at http://sw3d.cz).