Designing a monochromatic spatially-structured light field that recovers the pre-specified profile of optical force (OF) exerted on a particle is an inverse problem. It usually requires high dimensional optimization and involves lengthy calculations, thus remaining little studied despite decades of research on OF. We report here the first attempt to attack this inverse design problem. The modus operandi relies on the back-propagation algorithm, which is facilitated by the currently available machine learning framework, and, in particular, by an exact and efficient expression of OF that shows only polynomial and trigonometric functional dependence on the engineered parameters governing the structured light field. Two illustrative examples are presented in which the inversely designed structured light fields reproduce, respectively, a predefined spatial pattern of OF and a negative longitudinal OF in a transversely trapping area.

中文翻译：

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给定光力分布的结构光场反向传播辅助逆设计

设计一个单色空间结构光场来恢复施加在粒子上的预先指定的光力 (OF) 分布是一个逆问题。它通常需要高维优化并涉及冗长的计算，因此尽管对 OF 进行了数十年的研究，但仍然很少有人研究。我们在这里报告第一次尝试攻击这个逆向设计问题。作案手法依赖于反向传播算法，该算法由当前可用的机器学习框架提供便利，特别是通过精确有效的 OF 表达式，该表达式仅显示多项式和三角函数对控制结构化参数的工程参数的依赖性光场。给出了两个说明性示例，其中反向设计的结构化光场分别再现，