Existing acoustical tweezers (ATs) modulate source geometries to achieve monochromatic focusing, the wide frequency space allowed by sources is neglected. Here an analogous approach is proposed to synthesize AT fields in temporal frequency instead of wave vector. The base element is a standing wave, its counterpart in beam ATs is the field of a pitch. After field periodization, radiation-force theory is extended to nonmonochromatic waves having arbitrary in-period force based on discrete-frequency Fourier analysis. Fourier acoustical tweezers (FATs) achieve a minimal spacing of $\lambda /4$ for independent trapping. System complexity is reduced to two sources per dimension.

中文翻译：

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傅立叶声镊：基于离散频率的非单色波合成任意辐射力

现有的声学镊子（AT）调制光源的几何形状以实现单色聚焦，而忽略了光源所允许的宽频率空间。这里提出了一种类似的方法来以时间频率而不是波矢量来合成AT场。基本元素是驻波，在波束ATs中的对应元素是音调场。在场周期化之后，基于离散频率傅立叶分析，将辐射力理论扩展到具有任意周期内力的非单色波。傅立叶声学镊子（FAT）的最小间距为$\lambda /4$用于独立诱捕。系统复杂度每个维度减少到两个来源。