## Superpositions of Gaussian beams and column
Gaussian packets in heterogeneous anisotropic media

**Ludek Klimes**
### Summary

Based on the integral superposition of Gaussian packets,
we derive the equations for the integral superposition
of Gaussian beams and for the integral superposition
of column Gaussian packets in smoothly heterogeneous media.
Whereas Gaussian beams extend along their central rays,
column Gaussian packets extend along an arbitrary system of lines.
The equations are applicable to both
the anisotropic ray theory and the coupling ray theory
in anisotropic media,
or to the isotropic ray theory in isotropic media.
The superpositions corresponding to the coupling ray theory
can be applied to various kinds of reference rays.
The equations can be used
in both Cartesian and curvilinear coordinates.

### Keywords

Body waves, seismic anisotropy, electromagnetic anisotropy,
seismic attenuation, theoretical seismology, wave propagation.

### Whole paper

The preprint is available in
PDF (136 kB).

*Geophys. J. int.*, **215** (2018), 1739-1746.