## Comparison of ray-matrix and finite-difference
methods in a simple 1-D velocity model

**Ludek Klimes**
### Summary

The ray-matrix method can extend the applicability of ray methods
to 3-D heterogeneous velocity models containing
thin stacks of fine isotropic or anisotropic layers.
A simple 1-D velocity model, consisting of a low velocity layer
covering a homogeneous halfspace,
is used to compare the ray-matrix synthetic seismograms
with the finite-difference synthetic seismograms.
The agreement between the ray-matrix and finite-difference
synthetic seismograms is very good.
Moreover, the ray-matrix seismograms
do not suffer from the reflections from the nonreflecting boundaries
typical for finite differences,
from extremely thin layers, and from anisotropy.

### Keywords

Ray methods, matrix methods, Green function, synthetic seismograms.

*Stud. geophys. geod.*, **63** (2019), in press.