## Gaussian beams in two-dimensional elastic inhomogeneous media

**Vlastislav Cerveny** ** & **
**Ivan Psencik**
### Summary

Asymptotic high-frequency solutions of elastodynamic equations
in two-dimensional laterally inhomogeneous media concentrated
close to rays of P- and S-waves are investigated. From a physical
point of view, these vectorial solutions correspond to Gaussian
beams; the amplitude distribution of their principal components
is bell-shaped along the direction perpendicular to the ray.
The principal component of the elastodynamic Gaussian beam is
controlled by the parabolic equation, which has exactly the same
form as the parabolic equation for scalar Gaussian beams. The
elastodynamic Gaussian beams are regular everywhere, including
caustics.

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*Geophys. J. R. astr. Soc.*, **72** (1983), 417-433.

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