Acoustic Bulk Parameters of Random Volume Distributions of Small Scatterers
Acoustic Bulk Parameters of Random Volume Distributions of Small Scatterers
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小散射体随机体积分布的声学体积参数
DOI：
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发表时间：
1964
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通讯作者：
V. Twersky
中科院分区：
文献类型：
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作者：
V. Twersky
一般近似的“体参数”的均匀随机均匀分布的相对任意的散射体被施加到获得明确的结果的范围内的散射体的显着尺寸是小的波长相比。我们认为“轻微的散射体”的任意形状，对称的散射体（平板，圆柱体和球）的任意密度和压缩性，椭圆形的圆柱体，和椭球体（对齐或平均方向）。对于所有的情况下，我们给出明确的结果的密度和压缩性（或折射率和声阻抗）的孤立的散射参数。结果的适用范围应基本上对应于类似电磁问题的“克劳修斯-莫索蒂”型结果。
General approximations for the “bulk parameters” of a uniformly random homogeneous distribution of relatively arbitrary scatterers are applied to obtain explicit results for the range where the significant dimensions of the scatterers are small compared to wavelength. We consider “slight scatterers” of arbitrary shape, symmetrical scatterers (plane slab, circular cylinder, and sphere) of arbitrary density and compressibility, elliptic cylinders, and ellipsoids (either aligned or averaged over orientations). For all cases, we give explicit results for the density and compressibility (or for the index of refraction and acoustic impedance) in terms of the isolated scatterer parameters. The range of applicability of the results should correspond essentially to that of “Clausius‐Mossotti” type results for analogous electromagnetic problems.