径向高斯涡旋光束阵列在大气中传输的闪烁指数分析

张延娜; 欧军; 池灏; 杨淑娜

doi:10.37188/CO.2024-0098

径向高斯涡旋光束阵列在大气中传输的闪烁指数分析

doi: 10.37188/CO.2024-0098

杭州电子科技大学, 通信工程学院, 浙江杭州 310018

基金项目: 国家自然科学基金资助项目（No. 41905024，No. 62375071，No. 62101168）

详细信息

作者简介:
张延娜（2000—），女，河南洛阳人，硕士研究生，研究方向：通信工程（含宽带网络、移动通信等）。E-mail：2693899771@qq.com

欧　军（1987—），男，江西赣州人，副教授，研究方向：涡旋光传输和通信，微波光子学。E-mail：oujun@hdu.edu.cn

中图分类号: TN929.1
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出版历程
- 收稿日期: 2024-05-28
- 录用日期: 2024-08-05
- 网络出版日期: 2024-08-21

Scintillation index analysis of radial Gaussian vortex beam array propagation in atmosphere

School of Communication Engineering, Hangzhou Dianzi University, Hangzhou Zhejiang 310018, China

Funds: Supported by the National Natural Science Foundation of China (No. 41905024, No. 62375071, No. 62101168)

More Information

Corresponding author: oujun@hdu.edu.cn

摘要

摘要:
涡旋光束阵列在自由空间光通信上有很大的应用价值。采用多相位屏模拟大气湍流，研究了径向高斯涡旋光束阵列在大气湍流环境中传输的光场演化过程和轴上闪烁特性，分析了不同初始光束参数对径向高斯涡旋光束阵列的轴上闪烁指数的影响，并将其与单束高斯涡旋光束的轴上闪烁指数进行了对比。研究结果表明：在弱湍流区域，rytov指数小于0.5时，单束高斯涡旋光束的轴上闪烁指数一直保持在小于1的数值区域，远小于径向高斯涡旋光束的轴上闪烁指数；而在中等强度湍流区域，径向高斯涡旋光束阵列的轴上闪烁指数小于单束高斯涡旋光束的轴上闪烁指数；径向高斯涡旋光束阵列的轴上闪烁指数会随着轨道角动量值的减小和径向阵列半径的增大而减小。研究结果对于大气湍流环境下的涡旋光通信具有一定的理论意义和应用价值。
- 径向高斯涡旋光束阵列 /
- 轴上闪烁指数 /
- 相位屏仿真
Abstract:
Beam arrays have great application value in free-space optical communication. The light intensity evolution and the on-axis scintillation index of radial Gaussian vortex beam array propagating through atmospheric turbulence are analyzed based on multi-phase screen simulation. The effect of initial beam parameters on the scintillation properties of radial Gaussian vortex beam array is studied, and the variation of the on-axis scintillation index values of radial Gaussian vortex beam array and a Gaussian vortex beam is compared. The results indicate that in the weak fluctuation regime, the on-axis scintillation index of Gaussian vortex beams remains within a numerical range of less than 1, while the on-axis scintillation index of radial Gaussian vortex beam arrays is around 1. In the medium fluctuation regime, the on-axis scintillation index of the radial Gaussian vortex beam array is smaller than that of a single Gaussian vortex beam. And the on-axis scintillation index of radial Gaussian vortex beam array decreases with the decrease of orbital angular momentum and the increase of radial array radius. The research results have certain theoretical significance and application value for vortex optical communication in turbulent atmospheric environments.
- radial gaussian vortex beam array /
- on-axis scintillation index /
- multi-phase screen simulation

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图 1 $Z = 0$处径向高斯涡旋光束阵列分布示意图

Figure 1. Schematic diagram of radial Gaussian vortex beam array at $Z = 0$

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图 2 相位屏仿真示意图

Figure 2. Phase screen simulation diagram

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图 3 RGVBA在真空中不同传输距离处的光强和相位分布图 (a)$Z $=0 m，光强 (b)$Z $=50 m，光强 (c)$Z $=1000 m, 光强 (d)$Z $=2000 m，光强 (e)$Z $=0 m，相位 (f)$Z $=50 m，相位 (g)$Z $=1000 m，相位 (h)$Z $=2000 m，相位

Figure 3. Light intensity distribution of RGVBA at different propagation distances in free space (a) $Z $=0 m, light intensity (b) $Z $=50 m, light intensity (c)$Z $=1000 m, light intensity (d) $Z $=2000 m, light intensity (e) $Z $=0 m, phase (f) $Z $=50 m, phase (g) $Z $=1000 m, phase (h) $Z $=2000 m, phase

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图 4 不同折射率结构常数$C_n^2$下RGVBA的光强分布($l = 2$，$Num = 9$，Z=2000 m) (a) $C_n^2 = 0$ (b) $ C_n^2 = $$ 5 \times {10^{ - 15}}{m^{{{ - 2} / 3}}} $ (c) $ C_n^2 = 5 \times {10^{ - 14}}{m^{{{ - 2} \mathord{\left/ {\vphantom {{ - 2} 3}} \right. } 3}}} $ (d) $ C_n^2 = 1 \times $$ {10^{ - 13}}{m^{{{ - 2} / 3}}} $

Figure 4. The intensity distribution of RGVBA under different refractive index structure constants $C_n^2$ ($l = 2$,$Num = 9$, Z=2000 m) (a) $C_n^2 = 0$ (b) $ C_n^2 = $$ 5 \times {10^{ - 15}}{m^{{{ - 2} / 3}}} $ (c) $ C_n^2 = 5 \times {10^{ - 14}}{m^{{{ - 2} \mathord{\left/ {\vphantom {{ - 2} 3}} \right. } 3}}} $ (d) $ C_n^2 = 1 \times $$ {10^{ - 13}}{m^{{{ - 2} /3}}} $

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图 5 (a) 不同传输距离下RGVBA的轴上闪烁指数变化曲线；(b) 不同传输距离下GVB的轴上闪烁指数变化曲线

Figure 5. (a) Variation of the on-axis scintillation index values of RGVBA in different propagation distance (b) Variation of the on-axis scintillation index values of GVB in different propagation distance

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图 6 中等湍流下GVB和RGVBA的轴上闪烁指数随着rytov指数增加的变化曲线

Figure 6. The variation of the on-axis scintillation index values of GVB and RGVBA varies in medium fluctuation region

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图 7 相同湍流条件下不同初始光束参数的RGVBA轴上闪烁指数值随子光束数目(Num)的变化情况 (a)不同OAM值；(b)不同径向阵列半径${r_0}$

Figure 7. The variation of on-axis scintillation index values of GVBA with different initial beam parameters against the number of beamlets (Num) (a) different OAM values; (b) different radial array radii ${r_0}$

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表 1 相位屏仿真参数

Table 1. Phase screen simulation parameters

采样网格$N$	采样间隔$\Delta x$	相位屏间隔$\Delta Z$	湍流内尺度${l_0}$	湍流外尺度${L_0}$
1024	1.7 mm	200 m	0.01 m	10 m
波长$\lambda $	OAM值$l$	子光束半径${w_0}$	阵列半径${r_0}$	子光束数目$Num$
1550 nm	1~3	3 mm	1.8 cm	6

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表 2 不同折射率结构常数和传输距离对应的rytov指数

Table 2. The rytov index corresponding to different refractive index structure constants and transmission distances

折射率结构常数$C_n^2$	传输距离范围$Z$	rytov指数$\sigma _R^2$
$1 \times {10^{ - 15}}{m^{{{ - 2} \mathord{\left/ {\vphantom {{ - 2} 3}} \right. } 3}}}$	200 m−2400 m	0.0010−0.0991
$5 \times {10^{ - 15}}{m^{{{ - 2} \mathord{\left/ {\vphantom {{ - 2} 3}} \right. } 3}}}$	200 m−2400 m	0.0052−0.4953
$1 \times {10^{ - 14}}{m^{{{ - 2} \mathord{\left/ {\vphantom {{ - 2} 3}} \right. } 3}}}$	200 m−2400 m	0.0104−0.9905

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