Manipulation of macroscale objects by sound is fundamentally limited by the wavelength and object size. Resonant subwavelength scatterers such as bubbles can decouple these requirements, but typically the forces are weak. Here we show that patterning bubbles into arrays leads to geometric amplification of the scattering forces, enabling the precise assembly and manipulation of cm-scale objects. We rotate a 1 cm object continuously or position it with $15\mu \mathrm{m}$ accuracy, using sound with a 50 cm wavelength. The results are described well by a theoretical model. Our results lay the foundation for using secondary Bjerknes forces in the controlled organization and manipulation of macroscale structures.

中文翻译：

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使用微泡阵列放大声力可以操纵厘米级物体

通过声音对宏观物体的操纵从根本上受到波长和物体大小的限制。共振亚波长散射体（例如气泡）可以解耦这些要求，但通常这些力很弱。在这里，我们表明将气泡图案化成阵列会导致散射力的几何放大，从而能够精确组装和操纵厘米级物体。我们连续旋转一个 1 厘米的物体或用$15\mu \mathrm{米}$精度，使用波长为 50 厘米的声音。理论模型很好地描述了结果。我们的研究结果为在宏观结构的受控组织和操纵中使用二级 Bjerknes 力奠定了基础。