## 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.
Ray-matrix synthetic seismograms are compared
with finite-difference synthetic seismograms
in a simple 1-D velocity model, consisting of a low velocity layer
covering a homogeneous halfspace.
The agreement between the ray-matrix and finite-difference
synthetic seismograms is very good.
Moreover, the ray-matrix seismograms do not suffer
from extremely thin layers, from anisotropy, and
from reflections from the non-reflecting boundaries
typical for finite differences.

### Keywords

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

### Whole paper

The reprint is available in
PDF (565 kB).

*Stud. geophys. geod.*, **63** (2019), 247-256.