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本文研究了利用亨伯特二型(Humbert beams of type-Ⅱ, HB-Ⅱ)光束来提高基于轨道角动量(orbital angular momentum, OAM)的水下光通信系统传输特性的方法. 基于Rytov近似, 推导出了HB-Ⅱ光束的螺旋相位谱的解析表达式, 并仿真分析了不同光源参数和海洋湍流对HB-Ⅱ光束OAM模式探测概率的影响. 结果表明, HB-II光束在海洋湍流中的OAM模式探测概率随传播距离、轨道角动量模式数、光束束腰宽度和均方温度耗散率增加而降低, 该光束在海洋湍流中抗干扰能力随着动能耗散率的增加而增强, HB-Ⅱ光束受以盐度波动驱动的海洋湍流的模式串扰更大. 本文的研究结果可以为基于HB-Ⅱ光束的水下光通信系统设计提供理论参考.This paper studies the method of improving the transmission characteristics of underwater optical communication system based on orbital angular momentum (OAM) by using Humbert beams of type-Ⅱ (HB-Ⅱ). Based on the Rytov principle, an analytical expression for the spiral phase spectrum of HB-II beam after passing through the oceanic turbulence is derived, and the influence of different oceanic turbulence and beam parameters on the detection probability of HB-Ⅱ beams is compared and analyzed. The results show that the detection probability of OAM mode of HB-Ⅱ beam in ocean turbulence decreases with the increase of propagation distance, topological charge and kinetic energy dissipation rate. The anti-interference ability of the beam in ocean turbulence increases with the decrease of waist width, mean square temperature dissipation rate, and temperature salinity contribution rate. For HB-Ⅱ beam, the fluctuation of detection probability can be relatively smooth when transmitted at different distances, and the detection probability performance is better than those for Airy beam and LG beam. The results can provide theoretical reference for designing the underwater optical communication systems based on HB-Ⅱ beams.
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Keywords:
- Humbert beams of type Ⅱ /
- orbital angular momentum /
- oceanic turbulence /
- orbital angular momentum spectra
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图 1 不同OAM模式数$ {n_0} $和腰宽度${\omega _0}$对HB-Ⅱ光束的探测概率影响
Fig. 1. Detection probability ${P_{0}}$ of the signal OAM mode for the HB-Ⅱ with respect to the OAM number $ {n_0} $ and the beam waist size ${\omega _0}$.
图 2 不同光波长$ \lambda $下, HB-Ⅱ光束探测概率随传输距离$z$的变化
Fig. 2. Detection probability of HB-Ⅱ versus transmission distance $z$ for different $ \lambda $.
图 3 不同的OAM模式数$ {n_0} $下, HB-Ⅱ光束探测概率随传输距离$z$的变化
Fig. 3. Detection probability of HB-Ⅱ versus transmission distance $z$ for different $ {n_0} $.
图 4 不同温度方差耗散率${\chi _{\text{t}}}$下, HB-Ⅱ光束探测概率随传输距离$z$的变化
Fig. 4. Detection probability of HB-II versus transmission distance $z$ for different ${\chi _{\text{t}}}$.
图 5 不同湍流动能耗散率$ \varepsilon $下, HB-Ⅱ光束探测概率随传输距离$z$的变化
Fig. 5. Detection probability of HB-Ⅱ versus transmission distance $z$ for different $ \varepsilon $.
图 6 不同温盐比$ \tau $下, HB-Ⅱ光束探测概率随传输距离$z$的变化
Fig. 6. Detection probability of HB-Ⅱ versus transmission distance $z$ for different $ \tau $.
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