Abstract
The process of diffraction of sound waves by finite obstacles is now commonly analyzed in terms of creeping waves that encircle the scattering object azimuthally. For the example of a soft infinite circular cylinder, we have studied the scattering of pulsed sound waves, both of delta-function and of finite-step-function shape (with or without harmonic modulation). We investigated the changes in pulse shape that occur as the pulse propagates over the cylinder surface. This constitutes an extension of previous work by Friedlander and by the present authors in which only the initial rise of the creeping pulses was obtained numerically, and it has been accomplished by an asymptotic expansion in the Laplace-transform variable s.
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