## Interpolation of the coupling-ray-theory
S-wave Green tensor within ray cells

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

The coupling-ray-theory Green tensor is frequency dependent,
and is usually calculated for many frequencies.
This frequency dependence represents no problem
for calculating the Green tensor,
but may represent a great problem when storing
the Green tensor at the nodes of dense grids,
typical for applications such as seismic migrations
or non-linear seismic source determinations.

In the previous paper, we proposed the approximation
of the coupling-ray-theory Green tensor,
in the vicinity of a given prevailing frequency,
by two S wave Green tensors
described by their coupling-ray-theory travel times
and their coupling-ray-theory amplitudes.

The above mentioned prevailing-frequency approximation
of the coupling ray theory enables us to interpolate
the coupling-ray-theory Green tensor within ray cells,
and to calculate it at the nodes of dense grids.
This paper describes the current progress in this field,
outlines the basic algorithms,
and demonstrates the first preliminary numerical results.

### Keywords

S-wave coupling, Green tensor, travel time, amplitude, polarization,
interpolation, anisotropy, heterogeneous media, wave propagation.

### Whole paper

The paper is available in
PDF (774 kB).

In: Seismic Waves in Complex 3-D Structures, Report 23,
pp. 203-218, Dep. Geophys., Charles Univ., Prague, 2013.