Abstract
SUMMARY General 3-D anisotropic wave scattering problems can be solved by using an impedance operator to decompose the wavefield by direction of energy flow. This decomposition exists and is well-defined for all wavefields. The impedance operator recasts the boundary value problem of the classical wave equation as two initial value problems: a Riccati equation for the impedance operator and a one-way wave equation for the particle velocity, each of which can be solved to high precision. A curvilinear coordinate transform ensures that the method is formulated entirely in terms of continuous wavefield variables and allows for a natural treatment of any form of topography.
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