中国激光, 2014, 41 (12): 1205002, 网络出版: 2014-10-30
折射率环状分布光纤中基于高阶贝塞尔函数的轨道角动量模式分析
Analysis of Orbital Angular Momentum Modes Based on High-Order Bessel Functions in Optical Fiber of Ring Refractive Index Distribution
光通信 轨道角动量 高阶贝塞尔函数 光纤模式 optical communications orbital angular momentum high-order Bessel beam optical fiber mode
摘要
根据轨道角动量(OAM)密度的定义,推导出高阶贝塞尔光束和高阶拉盖尔高斯光束一样具有轨道角动量,且不存在发散角的问题,并基于该理论提出了一种适合基于高阶贝塞尔函数的OAM光束传输的折射率环状分布的光纤结构。理论分析了在这种折射率环状分布结构的光纤中可能传输的OAM模式,并且仿真得出了这几个OAM模式的强度分布图和相位分布图。理论分析的结果表明,光纤中可以传输的模式数目并不单纯随着某一个光纤结构参数的改变呈线性变化,而是取决于折射率环状分布光纤内径和外径分别对应的归一化频率V1和V2的区间内所有阶贝塞尔函数根的总数目。
Abstract
According to the definition of the orbital angular momentum (OAM) density, it can be deduced that the high-order Bessel beams have the OAM just as the high-order Laguerre-Gaussian beams and its divergence angle is zero. Based on this theory, an optical fiber of ring refractive index distribution is proposed to transmit the high-order Bessel OAM beams. A theoretical analysis of the OAM modes which can propagate in this optical fiber is presented and graphs of the intensity and phase distributions of these modes are obtained by simulation. The analysis result is that the number of the OAM modes transmitted in the fiber does not vary linearly with the change of any single parameter, and it depends on the number of all Bessel function roots between the normalized frequency range of the inner and outer diameter of the ring fiber.
张霞, 宿晓飞, 张磊, 席丽霞, 张晓光, 白成林. 折射率环状分布光纤中基于高阶贝塞尔函数的轨道角动量模式分析[J]. 中国激光, 2014, 41(12): 1205002. Zhang Xia, Su Xiaofei, Zhang Lei, Xi Lixia, Zhang Xiaoguang, Bai Chenglin. Analysis of Orbital Angular Momentum Modes Based on High-Order Bessel Functions in Optical Fiber of Ring Refractive Index Distribution[J]. Chinese Journal of Lasers, 2014, 41(12): 1205002.