论文标题

在跳动的声波中,声波捕获的球的动力学

Dynamics of an acoustically trapped sphere in beating sound waves

论文作者

Abdelaziz, Mohammed A., Grier, David G.

论文摘要

聚焦的声波为小球带来了钩状电位,并可以稳定地抵抗重力。将被困的球暴露于第二个横向行进声波会施加额外的声学力,使球体远离其机械平衡。驱动力是由站立诱捕波与行进驾驶之间的干扰形成的。此外,如果从驻波中引发行驶波,则驱动力以差异频率振荡。但是,波动驱动的谐波振荡器并不像教科书驱动的谐波振荡器一样,而是表现出源于驱动力的空间依赖性引起的各种动力学行为。这些包括驾驶频率的谐波和亚琴学的振荡,与混乱和斐波那契级联的时期途径。因此,该模型系统说明了基于声场的光谱控制而不是空间控制的动态声学操作的机会。

A focused acoustic standing wave creates a Hookean potential well for a small sphere and can levitate it stably against gravity. Exposing the trapped sphere to a second transverse traveling sound wave imposes an additional acoustical force that drives the sphere away from its mechanical equilibrium. The driving force is shaped by interference between the standing trapping wave and the traveling driving. If, furthermore, the traveling wave is detuned from the standing wave, the driving force oscillates at the difference frequency. Far from behaving like a textbook driven harmonic oscillator, however, the wave-driven harmonic oscillator instead exhibits a remarkably rich variety of dynamical behaviors arising from the spatial dependence of the driving force. These include oscillations at both harmonics and subharmonics of the driving frequency, period-doubling routes to chaos and Fibonacci cascades. This model system therefore illustrates opportunities for dynamic acoustical manipulation based on spectral control of the sound field, rather than spatial control.

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