## Hermite-Gaussian beams in inhomogeneous elastic media

**Ludek Klimes**
### Summary

Hermite-Gaussian beams in a 3-D inhomogeneous elastic medium are
derived as the high-frequency asymptotic solutions of the elastodynamic
equations, concentrated close to the rays of P and S waves.
In this case, the elastodynamic equations are reduced to the
parabolic (Schroedinger) equation. The explicite expressions
for the complete system of linearly independent solutions of the
parabolic equation are presented. The derivation takes advantage
of the method of ladder operators known from the quantum mechanics.

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Stud. geophys. geod., **27** (1983), 354-365.

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