相干叠加光学涡旋中的能量平衡
Enforcing energy balance in coherently superimposed optical vortices
摘要：
从能量分布和径向模组成的角度分析了利用相位光栅产生具有多个相互相干的轨道角动量（OAM）模的光束。结果表明，采用等权拉盖尔-高斯（LG）模式设计的相位光栅将产生OAM分量之间能量分布不均匀的光束。这种不想要的结果不能通过调节照明光束的宽度来校正。我们提出了一种方法来设计相位光栅，将产生一个均匀的能量分布在照明后的OAM状态的组成，同时最大限度地减少高径向模式的内容。该方法基于LG模式的广义定义，其利用自由选择其径向尺度。
英文摘要：
The generation of optical beams with multiple, mutually-coherent orbital-angular-momentum (OAM) modes using phase gratings is analyzed from the perspective of energy distribution and radial mode composition. We show that phase gratings designed with equally-weighted Laguerre-Gauss (LG) modes will generate beams with uneven energy distribution among OAM components. This unwanted outcome cannot be corrected by adjusting the width of the illuminating beam. We propose a way to design phase gratings that will produce a uniform energy distribution among the constituent OAM states after illumination, while minimizing the content of high radial modes. This method is based on a generalized definition for the LG modes that takes advantage of the freedom to select their radial scales.
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