Effects of misalignments in the optical vortex transformation performed by holograms with embedded phase singularity
Effects of misalignments in the optical vortex transformation performed by holograms with embedded phase singularity
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DOI：
10.1016/j.optcom.2010.07.031
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发表时间：
2010-04
影响因子：
2.4
通讯作者：
A. Bekshaev;S. Sviridova
中科院分区：
文献类型：
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作者：
A. Bekshaev;S. Sviridova
从理论上研究了叉形全息图与全息图光轴不同的入射圆形拉盖尔-高斯光束产生的衍射光束的空间特性。利用Kummer光束或超几何-高斯光束的叠加形式，导出了衍射光束复振幅分布的一般解析表达式。衍射光的结构由入射涡旋光束的“适当”拓扑荷m和全息图“赋予”奇点的拓扑荷L组合而成。详细研究了m和L的几种组合以及入射光束相对于全息图光轴的各种位移情况下，衍射束结构的演化。研究了入射光束失准引起的光强和位相分布的变化，并讨论了它在有目的的光学涡旋光束产生和光学测量中的可能应用。
Spatial characteristics of diffracted beams produced by a “fork” hologram from an incident circular Laguerre–Gaussian beam whose axis differs from the hologram optical axis are studied theoretically. General analytical representations for the complex amplitude distribution of a diffracted beam are derived in terms of superposition of Kummer beams or hypergeometric–Gaussian beams. The diffracted beam structure is determined by combination of the “proper” topological charge m of the incident vortex beam and the topological charge l of the singularity “imparted” by the hologram. Evolution of the diffracted beam structure is studied in detail for several combinations of m and l and for various incident beam displacements with respect to the optical axis of the hologram. Variations of the intensity and phase distribution due to the incident beam misalignment are investigated and possible applications for the purposeful optical vortex beam generation and optical measurements are discussed.