拉盖尔-高斯光束相位分布的螺旋相位可分辨性
Helical-Phase Distinguishability for the Phase Distribution of Laguerre-Gaussian Beams
摘要：
在过去的几年里，轨道角动量光束由于其独特的相位特性，在光学相关领域的许多应用做出了重大贡献。本文提出了一种新的相位螺旋结构的拉盖尔-高斯光束携带轨道角动量的方法。该方案基于数值模拟来跟踪相位中每个螺旋的旋转，并通过使用每个螺旋的可伸缩性的特性来显示对拉盖尔-高斯相位分布的旋转速度的影响。如果涡旋相位中的螺旋不能被区分，那么相位分布的角旋转速度可以被视为与方位角指数l无关，这是由于其旋转对称性，并且它被称为ω不可区分。相反，当螺旋线彼此区分时，旋转速度受该方位角指数的影响，并且其变为ω可区分的。这种可区分的理论可以为光通信（作为编码系统）和粒子操纵（改变离束捕获粒子的动力学）领域的应用建立一条途径。
英文摘要：
In the past few years, orbital angular momentum beams have contributed significantly to many applications in the optical-related fields due to their unique phase characteristics. Here, a novel approach about phase-helices structure for Laguerre-Gaussian beams carrying orbital angular momentum is presented. This proposal is based on numerical simulations to track the rotation of each helix in the phase and shows an impact on the rotational speed of the Laguerre-Gaussian phase distribution by using the characteristic of distinguishability of each helix. If the helices in the phase of a vortex cannot be distinguished, then the angular rotation speed of the phase distribution can be seen as independent of the azimuthal index l, due to its rotational symmetry, and it is called ωindistinguishable. Oppositely, when the helices are distinguished from each other, the rotational speed is affected by this azimuthal index, and it becomes ωdistinguishable. This distinguishable theory can build a pathway to applications in the field of optical communications (as a coding system) and particle manipulation (changing the dynamics of off-beam trapped particles).
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