Acoustic scattering from two parallel soft cylinders

R. Scharstein
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引用次数: 15

Abstract

The scattered field due to two parallel circular cylinders illuminated by a plane wave is formulated in terms of outgoing cylindrical waves emanating from each cylinder. Dirichlet boundary conditions are enforced on each cylindrical surface. Graf's addition theorem for cylindrical harmonics makes possible the closed-form evaluation of the coefficients in two infinite, coupled sets of linear equations for the unknown modal coefficients. Resultant far scattered fields in the frequency domain are graphed for several geometries and plane wave incidence angles. The effects of coupling between cylinders are studied via a comparison between far-field scatter computed by this accurate method and a noninteracting sum of the isolated cylinder responses.<>
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两个平行软圆柱体的声散射
由平面波照射的两个平行圆柱体所产生的散射场用每个圆柱体发出的出射圆柱波来表示。狄利克雷边界条件在每个柱面上强制执行。柱面谐波的Graf加法定理使两个无限的、耦合的未知模态系数的线性方程组的系数的封闭形式的计算成为可能。在频域中绘制了几种几何形状和平面波入射角的远散射场图。通过将这种精确方法计算的远场散射与孤立柱面响应的非相互作用和进行比较,研究了柱面间耦合的影响。
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