This paper proposes a method for shaping a light spiral with the desired intensity and phase distributions based on the addition of an angular-dependent amplitude distribution to the phase transmission function of a generalized spiral phase plate. An expression for the amplitude distribution of the illuminating beam, which provides a given intensity distribution in the focal plane along the light spiral, was derived, with the numerically and experimentally obtained results confirming the analytical calculations. The ability to control the phase and intensity gradient along the generated light curves allows one to shape the desired transverse energy flow distribution in the focal plane, which is important for optical manipulation of nano- and microparticles as demonstrated by the laser guiding of trapped 5 µm polystyrene microspheres.

中文翻译：

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控制由广义螺旋相位板产生的沿光螺旋的强度分布

本文提出了一种方法，该方法基于将与角度相关的幅度分布添加到广义螺旋相位板的相位传递函数上，从而使具有所需强度和相位分布的轻螺旋成形。得出了照明光束幅度分布的表达式，该表达式提供了沿光螺旋在焦平面中的给定强度分布，并且通过数值和实验获得的结果证实了分析计算。沿着生成的光曲线控制相位和强度梯度的能力使人们可以在焦平面上塑造所需的横向能量流分布，这对于纳米和微粒的光学操作非常重要，如捕获5 µm的激光引导所证明的那样聚苯乙烯微球。