EVOLUTION OF DIRECTIONAL WAVE SPECTRA THROUGH FINITE REGULAR AND RANDOMLY PERTURBED ARRAYS OF SCATTERERS
EVOLUTION OF DIRECTIONAL WAVE SPECTRA THROUGH FINITE REGULAR AND RANDOMLY PERTURBED ARRAYS OF SCATTERERS
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DOI：
10.1137/140973906
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发表时间：
2015-01-01
影响因子：
1.9
通讯作者：
Bennetts, Luke G.
中科院分区：
文献类型：
--
作者：
Montiel, Fabien;Squire, Vernon A.;Bennetts, Luke G.
提出了一种求解二维有限个大型圆形夹杂阵列的全线性波浪散射问题的方法，并通过该阵列计算了方向波特性的伴随演化。该方法将数组分解为片。相邻平板之间的相互作用是用每个平板散射的波场表示为方向谱上的平面波加上指数衰减分支的积分来计算的。将该方法应用于声硬散射体的正则问题。通过与相应的无限、周期单行和多行阵列的解的比较，寻求对(I)规则阵列的验证，以及(Ii)通过与有效场的Foldy近似的比较，寻求对随机阵列的验证。数值研究了在规则阵列中引入随机扰动对反射场和透射场的方向性的影响。
A method is proposed to solve the full linear problem of wave scattering by a large finite array of circular inclusions in two spatial dimensions and compute the concomitant evolution of directional wave properties through the array. The method decomposes the array into slabs. Interactions between adjacent slabs are calculated using a representation of the wave fields scattered by each slab as integrals of plane waves over the directional spectrum plus exponentially decaying branches. The method is applied to the canonical problem of acoustic sound-hard scatterers. Validation is sought for (i) regular arrays via comparison with solutions of corresponding infinite, periodic single- and multiple row arrays and (ii) random arrays via comparison with Foldy's approximation for the effective field. A numerical investigation is conducted to determine the effect of introducing random perturbations into regular arrays on the directional properties of the reflected and transmitted fields.