使用驻声波的周期性颗粒排列
Periodic particle arrangements using standing acoustic waves
摘要：
我们确定可以通过使用驻声波将小颗粒排列在非粘性液体树脂中来制造的晶体状材料，该树脂随后固化以将颗粒保持在所需位置。对于具有相同物理性质并且与波长相比较小的相同球形颗粒，颗粒被捕获的位置对应于声辐射势的最小值，该声辐射势描述了颗粒受到的净力。我们表明，空间周期性的声辐射势的全局极小值可以预测的一个小的实对称矩阵对应于其最小特征值的特征空间。我们将本征空间的对称性与由点、线或平面组成的粒子排列联系起来。由于波是用来产生粒子的安排，安排的周期性是有限的某些布拉维晶格类，我们列举了二维和三维。
英文摘要：
We determine crystal-like materials that can be fabricated by using a standing acoustic wave to arrange small particles in a non-viscous liquid resin, which is cured afterwards to keep the particles in the desired locations. For identical spherical particles with the same physical properties and small compared to the wavelength, the locations where the particles are trapped correspond to the minima of an acoustic radiation potential which describes the net forces that a particle is subject to. We show that the global minima of spatially periodic acoustic radiation potentials can be predicted by the eigenspace of a small real symmetric matrix corresponding to its smallest eigenvalue. We relate symmetries of this eigenspace to particle arrangements composed of points, lines or planes. Since waves are used to generate the particle arrangements, the arrangement's periodicity is limited to certain Bravais lattice classes that we enumerate in two and three dimensions.
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