Abstract
The first-order coupled system of stress-velocity elastic wave equations for the parabolic approximation about a chosen direction of preference is determined. These ‘‘one-way’’ wave equations are analytically solved for the case of a point-force source in an unbounded homogeneous medium with the aid of the modified Cagniard method. To investigate the accuracy of the result in space-time, it is compared with the known exact one. Also, artifacts introduced by the approximation are discussed. Both the near- and far-field wave motions are analyzed. It is concluded that the approximation yields, about the direction of preference, accurate results in a restricted time window after the arrival of the waves.
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