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Scattering of a Plane Acoustical Wave by a Spherical Obstacle

Cohen, Donald S. and Handelman, George H. (1965) Scattering of a Plane Acoustical Wave by a Spherical Obstacle. Journal of the Acoustical Society of America, 38 (5). pp. 827-834. ISSN 0001-4966. doi:10.1121/1.1909811.

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The long-time behavior of the scattered field produced by a plane acoustical pulse stalking a spherical obstacle is investigated. Incident pulses are taken that represent a unit step in potential (or equivalently delta function pulse in pressure), an arbitrary potential pulse of finite duration, and an arbitrary pressure pulse of finite duration. Both hard and soft spheres are considered. In addition, a pulse consisting of a unit step in velocity impinging on a hard sphere is examined. In each case, the time rate of decay to the steady state is established. This is seen to be controlled by the zeroes of certain naturally occurring special polynomials that arise because of the spherical geometry and are independent of the shape of the incident pulse.

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Additional Information:©1965 Acoustical Society of America. (Received 25 February 1965) The authors would like to thank Prof. Yung Ming Chen of Purdue University and Prof. Joseph B. Keller of New York University for several enlightening discussions. This work has been supported in part under a U.S. Air Force Office of Scientific Research grant, and in part by the National Science Foundation.
Issue or Number:5
Record Number:CaltechAUTHORS:COHjasa65
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Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:10870
Deposited By: Archive Administrator
Deposited On:14 Jun 2008
Last Modified:08 Nov 2021 21:11

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