On the T-matrix for scattering by small obstacles

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摘要

Acoustic scattering by bounded obstacles is considered, in both two and three dimensions. Relations between the T-matrix and the far-field pattern are derived, and then used to obtain new approximations for the T-matrix for small obstacles. The problem of scattering by a pair of small sound-soft circular cylinders is also solved, in the Rayleigh approximation, using bipolar coordinates.

论文关键词:43.20.Fn,Low-frequency asymptotics,T-matrix,Acoustics,Bipolar coordinates

论文评审过程:Received 15 September 2005, Revised 17 January 2006, Available online 7 July 2006.

论文官网地址:https://doi.org/10.1016/j.cam.2006.01.040