## Homogeneous harmonic plane waves in viscoelastic
anisotropic media

**Vlastislav Cerveny**
### Summary

The determination of the slowness vector of
homogeneous plane waves propagating in an arbitrary direction in a
homogeneous viscoelastic anisotropic medium is discussed. Whereas
the determination of the slowness vector of an inhomogeneous plane
wave requires the solution of an eigenvalue problem for a 6 x
6 complex-valued matrix, it is sufficient to solve an eigenvalue problem
for a 3 x 3 complex-valued problem for homogeneous plane
waves. Expressions for phase velocities and for the ratios of the lengths
of attenuation and propagation vectors are derived.

### Keywords

Viscoelastic anisotropic media, homogeneous plane waves, phase
velocity, slowness vector, polarisation vector.

### Whole paper

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In: Seismic Waves in Complex 3-D Structures, Report 13,
pp. 199-205, Dep. Geophys., Charles Univ., Prague, 2003.

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