完美拉盖尔-高斯光束。

Perfect Laguerre-Gauss beams.

作者信息

Mendoza-Hernández Job, Hidalgo-Aguirre Maribel, Inclán Ladino Adriana, Lopez-Mago Dorilian

出版信息

Opt Lett. 2020 Sep 15;45(18):5197-5200. doi: 10.1364/OL.402083.

DOI:10.1364/OL.402083

Abstract

Perfect vortex beams (PVBs) have intensity distributions independent of their topological charges. We propose an alternative formulation to generate PVBs through Laguerre-Gauss beams (LGBs). Using the connection between Bessel and LGBs, we formulate a modified LGB that mimics the features of a PVB, the perfect LGB (PLGB). The PLGB is closer to the ideal PVB, maintaining a quasi-constant ring radius and width. Furthermore, its number of rings can be augmented with the order of the Laguerre polynomial, showing an outer ring independent of the topological charge. Since the PLGB comprises a paraxial solution, it is closely related to an experimental realization, e.g., using spatial light modulators [Phys. Rev. A100, 053847 (2019)PLRAAN1050-294710.1103/PhysRevA.100.053847].

摘要

完美涡旋光束（PVBs）的强度分布与其拓扑电荷无关。我们提出了一种通过拉盖尔 - 高斯光束（LGBs）生成PVBs的替代公式。利用贝塞尔光束和LGBs之间的联系，我们构建了一种模仿PVB特征的修正LGB，即完美LGB（PLGB）。PLGB更接近理想的PVB，保持了准恒定的环半径和宽度。此外，其环的数量可以随着拉盖尔多项式的阶数增加，显示出一个与拓扑电荷无关的外环。由于PLGB包含一个傍轴解，它与实验实现密切相关，例如使用空间光调制器[《物理评论A》100, 053847 (2019)PLRAAN1050 - 294710.1103/PhysRevA.100.053847]。