气泡周期阵列的声散射
Acoustic scattering by periodic arrays of air-bubbles
摘要：
本文研究了液体介质中气泡线阵和面阵的声散射和声传播。自洽方法被用来推导一个单一的气泡嵌入阵列的有效散射函数，包括所有的多次散射过程。对于直线情形，得到了精确的结果.在平面阵列的情况下，只有近似的解析结果是可能的。数值计算表明了多次散射对波浪散射的影响。结果表明，依赖于气泡之间的距离，一个单一的气泡的共振峰可以扩大或缩小，由于多次散射，它显示了振荡行为的距离的变化。同时，峰值散射振幅也被增强或减小。然而，先前预测的强烈增强并不明显。对于平面阵列，当气泡之间的距离足够小时，在没有其他气泡的情况下，单个气泡的通常共振散射可以被多重散射抑制。随着距离的增加，共振散射开始出现，并且共振峰位置交替地向较高值和较低值移动。此外，据预测，波传播通过一个平面气泡阵列可以显着抑制在一个频率范围内略高于一个单一的气泡，可能是一个有用的功能，噪声屏蔽的固有频率。在以前的结果中的模糊之处被指出。
英文摘要：
This paper considers acoustic scattering by and propagation through line and plane arrays of air-bubbles in liquid media. The self-consistent method is used to derive the effective scattering function of a single bubble embedded in the arrays, incorporating all multiple scattering processes. For the line case, an exact result is derived. In the plane array situation, only an approximate analytic result is possible. Numerical computations have been carried out to show the multiple scattering effects on wave scattering. It is shown that depending on the distance between bubbles the resonance peak of a single bubble can either be broadened or narrowed due to multiple scattering and it shows an oscillatory behavior as the distance changes. Meanwhile, the peak scattering amplitude is also be either enhanced or reduced. The previously predicted strong enhancement, however, is not evident. For plane arrays, the usual resonant scattering of a single bubble in absence of other bubbles can be suppressed by multiple scattering when the distance between bubbles is sufficiently small. As the distance increases, the resonant scattering starts to appear, and the resonance peak position is alternately shifted towards higher and lower values. Moreover, it is predicted that wave propagation through a plane bubble array can be significantly inhibited in a range of frequencies slightly higher than the natural frequency of a single bubble, possibly a useful feature for noise screening. The ambiguities in the previous results are pointed out.
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