Abstract
The goal of an absorbing boundary condition is to simulate the outward radiation of energy at an artificial computational boundary. To that end, the boundary condition should make a valid statement about outgoing waves, at least in an approximate sense, but this statement should not require apriori knowledge of the pointwise values of the wave field. Typically, such a boundary condition involves a wave velocity. However, in the case of dispersive waves there are two kinds of velocity, phase velocity and group velocity, and each of the velocities varies with wavenumber and frequency. This variation of velocity is a central issue in the construction of absorbing boundary conditions for dispersive waves. The present abstract summarizes a technique developed by [Higdon, 1994].
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