In this paper, a simple, analytical, and very efficient method capable of providing control of an optical beam’s intensity over an arbitrary curvilinear (planar) trajectory is developed. The same method also provides the possibility of managing branchings of the optical beam. The results presented here can have valuable applications in fields like optical tweezers, optical lithography, atom optical guiding, and structured light.

中文翻译：

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控制光束轨迹和分支的简单分析方法

在本文中，开发了一种简单，分析且非常有效的方法，该方法能够在任意曲线（平面）轨迹上控制光束的强度。相同的方法还提供了管理光束分支的可能性。此处介绍的结果在光镊，光学光刻，原子光导和结构光等领域具有重要的应用价值。