In this research, the superposition of shifted Laguerre-Gaussian (LG) beams and their intensity distribution are studied in cylindrical coordinates. By complex transverse shifting of conventional LG beams, the symmetry of intensity structure is lost and deformed to the crescent. Increasing the amount of beam pure imaginary shift causes the beam is focused on a smaller crescent. The obtained results from applying changes on the real transverse shift, topological charge, and radial index parameters of superposed LG beams depict the possibility of these beams to apply in optical trapping. As the radial index increases, in addition to the radial variation of the intensity distribution, the position and shape of the crescents are changed. Besides, analytical formulate for the angular spectrum of the superposed beams is derived and the relation of their Orbital Angular Momentum (OAM) obtained. It is observed, by increasing the OAM, the radius of intensity distribution is increased. By the combination of these difference adjustable parameters, the localized intensity distribution has been prepared, which could be used for the production of controllable optical traps. The obtained experimental results confirm the simulation results.

在这项研究中，在圆柱坐标系中研究了移位的拉盖尔-高斯（LG）光束的叠加及其强度分布。通过常规LG光束的复杂横向移动，强度结构的对称性消失并变形为新月形。增加光束的纯虚位移会导致光束聚焦在较小的新月形上。通过对叠加的LG光束的实际横向位移，拓扑电荷和径向折射率参数应用更改获得的结果描述了这些光束应用于光学陷波的可能性。随着径向指数的增加，除了强度分布的径向变化之外，新月形的位置和形状也会发生变化。除了，推导了叠加光束角谱的解析公式，得到了它们的轨道角动量（OAM）的关系。观察到，通过增加OAM，强度分布的半径增加。通过这些差异可调参数的组合，已经制备了局部强度分布，可以将其用于可控光阱的生产。获得的实验结果证实了仿真结果。