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

Ludek Klimes & Petr Bulant


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.


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.