An image method for a sphere in an acoustic waveguide

作者:Lee Doo Sung*; Gilbert R P
来源:Inverse Problems, 2012, 28(5): 055006.
DOI:10.1088/0266-5611/28/5/055006

摘要

The scattering of acoustic waves by a sphere in a shallow ocean waveguide is investigated. Expressions for the scattered waves are given. Numerical values for a quantity called the far-field form function for various depths are presented in graphical forms. Also we investigate the unknown body problem in a waveguide. The Rayleigh conjecture states that every point on an illuminated body radiates sound from that point as if the point lies on its tangent sphere. This conjecture is the cornerstone of the intersecting canonical body approximation (ICBA) for solving the unknown body inverse problem. Therefore, the use of the ICBA requires that an analytical solution be known exterior to the sphere in the waveguide, which leads us to analytically compute the exterior solution for a sphere between two parallel plates. A least-squares matching of theoretical acoustic fields against the measured, scattered field permits a reconstruction of the unknown object.

  • 出版日期2012-5

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