## Expansion of a high-frequency time-harmonic wavefield
given on an initial surface into Gaussian beams

**Ludek Klimes**
### Summary

A high-frequency asymptotic expansion of a time-harmonic wavefield
given on a curved initial surface into Gaussian beams is determined.
The time-harmonic wavefield is assumed to be specified on the initial
surface in terms of a complex-valued amplitude and a phase.
The asymptotic expansion has the form of a two-parametric integral
superposition of Gaussian beams. The expansion corresponds to the
relevant ray approximation in all regions, where the ray solution
is sufficiently regular (smooth) in effective regions of the beams
under consideration.

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Geophys. J. R. astr. Soc., **79** (1984), 105-118.

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