Reflection and transmission by randomly spaced elastic cylinders in a fluid slab-like region
Reflection and transmission by randomly spaced elastic cylinders in a fluid slab-like region
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流体板状区域中随机间隔的弹性圆柱体的反射和传输
DOI：
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发表时间：
2005
期刊：
影响因子：
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通讯作者：
J. Conoir
中科院分区：
文献类型：
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作者：
P. L. Bas;F. Luppé;J. Conoir
Fikioris 和 Waterman 形式主义的扩展是为了描述随机放置弹性圆柱形散射体的板状流体区域的反射和透射。必须对板条内部相干波的色散方程进行数值求解。对于实心圆柱体，只有一种解对应于大于一个波长的相干波的平均自由程。在这种情况下，板区域可以被描述为有效的耗散流体介质，并且其反射和透射系数可以正式地写为流体板的反射和透射系数。对于薄空心壳，色散方程的第二个解被发现，浓度足够大，使得壳可以通过每个壳上的圆周 Scholte-Stoneley A 波的辐射进行耦合。这发生在壳的几个共振频率处。那么，在这些频率下，两种不同的相干波在板中传播，并且它不再被视为耗散......
An extension of Fikioris and Waterman’s formalism is developed in order to describe both the reflection and transmission from a slab-like fluid region in which elastic cylindrical scatterers are randomly placed. The dispersion equation of the coherent wave inside the slab must be solved numerically. For solid cylinders, there is only one solution corresponding to a mean free path of the coherent wave larger than one wavelength. In that case, the slab region may be described as an effective dissipative fluid medium, and its reflection and transmission coefficients may be formally written as those of a fluid plate. For thin hollow shells, a second solution of the dispersion equation is found, at concentrations large enough for the shells to be coupled via the radiation of a circumferential Scholte–Stoneley A wave on each shell. This occurs at a few resonance frequencies of the shells. At those frequencies, then, two different coherent waves propagate in the slab, and it can no longer be considered a dissipa...