When a wave front is incident upon an interface between two anelastic media, the amplitudes of transmitted and converted waves can grow exponentially with distance from the interface. Such phenomena can be reconciled with radiation conditions. For waves from finite sources within multi-layered anelastic media, and particularly for waves studied by generalized rays, the choice between scattered waves that grow and those that decay can usefully be made with reference to the corresponding elastic problem, rather than relying on radiation conditions.

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