Abstract
The early time, i.e., first two transits, surface velocity field on a pressure release sphere scattering a plane step incident acoustic pressure pulse is calculated by a Kirchhoff time retarded potential integral equation. Modal solutions of the same problem have not been published in numerical detail, but a comparison can be made to the first three mode sum of the analagous pressure release sphere bisected by a free surface found by Baron and Bleich in a report. Agreement is very good except at very early times, where the modal solution converges slowly and, therefore, where the integral equation solution is more accurate. Solutions are also given for an incident plane step acoustic pressure pulse, which decays exponentially, and for an incident spherical step acoustic pressure pulse. [This research has been supported by the Office of Naval Research under Contract.]
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