## Numerical algorithm of the coupling
ray theory in weakly anisotropic media

**Petr Bulant** ** & **
**Ludek Klimes**
### Summary

The paper is devoted to the numerical calculation
of the frequency-dependent complex-valued vectorial
amplitudes of S waves in weakly anisotropic media
by the coupling ray theory.
An efficient and accurate method of numerical integration
of the coupling equation is proposed,
and the accuracy of the method is estimated
in order to control the integration step so that the relative
error in the wavefield amplitudes due to the integration
is kept below a given limit.
Several quasi-isotropic approximations of the coupling ray theory
are briefly discussed and a numerical example is presented.

### Keywords

Coupling ray theory, anisotropy, travel times, amplitudes, Green function.

### Whole paper

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### Final version

Bulant, P. & Klimes, L.:
Numerical algorithm of the coupling ray theory in weakly anisotropic media.
*Pure and Applied Geophysics*, **159** (2002), 1419-1435.

In: Seismic Waves in Complex 3-D Structures, Report 11,
pp. 263-277, Dep. Geophys., Charles Univ., Prague, 2001.

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