Abstract
We derive the parabolic equation for high-frequency solutions of anisotropic elasticity propagating in the neighbourhood of a ray. The dynamic ray tracing system governing the evolution of a Gaussian beam along its central ray is derived. It is shown that a Gaussian beam is non-singular at the caustics. The decomposition of a point source in an anisotropic medium into Gaussian beams is derived and its application to the complex DRT of seismic waves in anisotropic media is discussed.
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