## Coupling ray series

**Ludek Klimes**
### Summary

We propose the coupling ray series,
which yields the coupling ray theory in a similar way
as the standard ray series
yields the standard ray-theory solution
of the elastodynamic equation.
We insert the coupling ray series into the elastodynamic equation
and obtain the coupling ray theory
as the zero-order high-frequency asymptotic approximation.

The standard ray series yields a good approximation
of the additional amplitude components
but fails in the description of S-wave coupling.
The coupling ray series well describes S-wave coupling
but its approximation of the additional amplitude components
is not satisfactory.
We thus also propose more general ray series,
which represent a generalization of both
the standard ray series and coupling ray series.

### Keywords

Elastic waves, anisotropy, heterogeneous media,
ray series, coupling ray theory, travel time, amplitude, polarization.

### Whole paper

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In: Seismic Waves in Complex 3-D Structures, Report 17,
pp. 99-109, Dep. Geophys., Charles Univ., Prague, 2007.

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