Retarded Potential Approach to the Scattering of Elastic Pulses by Rigid Obstacles of Arbitrary Shape

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Abstract
The scattering of elastic pulses by rigid obstacles of arbitrary shape is discussed in terms of an integrodifferential equation similar to Kirchhoff's equation. This approach has proved valuable in the treatment of acoustic scattering problems and the extension proposed is relatively straightforward. The advantage of this approach is that the problem can be formulated completely in terms of values of stress and strain on the scattering surface only thereby reducing the order of the problem by one spatial dimension. Field values can be obtained from the surface values by a direct quadrature if required. The simple problem of a P-step wave reflecting from an infinite rigid plane is discussed as an example of the procedure.

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