激光与光电子学进展, 2017, 54 (3): 032601, 网络出版: 2017-03-08   

非傍轴拉盖尔-高斯光束的轨道角动量密度特性

Orbital Angular Momentum Density Characteristics of Nonparaxial Laguerre-Gaussian Beams
作者单位
1 北京建筑大学理学院, 北京 102616
2 北京建筑大学电气与信息工程学院, 北京 102616
摘要
采用矢量瑞利-索末菲衍射理论推导了非傍轴近似条件下拉盖尔-高斯光束的电场解析表达式,基于该表达式分别推导了傍轴近似和非傍轴近似条件下的轨道角动量密度解析表达式。通过数值仿真,研究了傍轴和非傍轴近似条件下光束的轨道角动量密度分布特性,并分析了拓扑荷、束腰半径、传输距离对轨道角动量密度分布的影响。研究表明,非傍轴近似条件下轨道角动量密度分布与傍轴近似条件下不同,但随着拓扑荷的增加,其分布形状与傍轴近似条件下比较接近。傍轴近似条件下的拓扑荷、束腰半径、传输距离不会影响轨道角动量密度的分布形状,而非傍轴近似条件下轨道角动量密度分布的形状、尺寸都会受上述参数的影响。
Abstract
The electric field analytical expression of Laguerre-Gaussian beam under nonparaxial approximation condition is derived based on the vectorial Rayleigh-Sommerfeld diffraction theory. According to this expression, analytical expressions of the orbital angular momentum density under paraxial and nonparaxial approximation conditions are deduced. Through the numerical simulation, the orbital angular momentum density distribution characteristics under paraxial and nonparaxial approximation conditions are studied, and then the effects of topological charge, waist radius and transmission distance on the orbital angular momentum density distribution are analyzed. It is shown that the orbital angular momentum density distribution under the nonparaxial approximation condition is different from that under the paraxial approximation condition, but the shape of the orbital angular momentum density distribution is close to that under the paraxial approximation with the increase of the topological charge. The result also shows that the topological charge, waist radius and transmission distance do not influence the shape of the orbital angular momentum density distribution under the paraxial approximation condition, while the shape and size of the orbital angular momentum density distribution under the nonparaxial approximation condition are affected by the parameters above.

黎芳, 宫瑞婷, 刘慧. 非傍轴拉盖尔-高斯光束的轨道角动量密度特性[J]. 激光与光电子学进展, 2017, 54(3): 032601. Li Fang, Gong Ruiting, Liu Hui. Orbital Angular Momentum Density Characteristics of Nonparaxial Laguerre-Gaussian Beams[J]. Laser & Optoelectronics Progress, 2017, 54(3): 032601.

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