聚焦超几何高斯二型光束在海洋湍流中的信道容量

张荣香; 代华德; 刘涛; 王唯钰; 周允城; 毕慧聪

doi:10.7498/aps.74.20250306

摘要

本文研究了利用聚焦透镜来提高超几何高斯二型(hypergeometric-Gaussian type-II, HyGG-II)光束在海洋湍流中传输时的信道容量的方法. 首先推导得到使用聚焦透镜之后HyGG-II光束在海洋湍流中的信道容量表达式, 随后仿真分析了不同光源参数和海洋湍流参数对信道容量的影响, 并与未加透镜时HyGG-II光束以及拉盖尔高斯光束的信道容量进行对比. 此外为了探究聚焦透镜增强信道容量的原因, 还仿真分析了聚焦HyGG-II光束的光强随传输距离的分布. 结果表明: 通过使用聚焦透镜可以使HyGG-II光束的信道容量在一定传输距离范围之内获得不同程度的增强, 最佳增强效果出现在光强的最大会聚位置附近. 通过增大光波长、调节聚焦透镜的焦距或HyGG-II光束的束腰半径, 还可以使增强效果进一步改善. 在小单位质量动能耗散率和大温度均方差耗散率的海洋湍流环境中, 使用聚焦透镜可以得到更明显的信道容量增强效果. 与拉盖尔-高斯(Laguerre-Gaussian, LG)光束相比, 传输相同距离时, 不管是否使用聚焦透镜, HyGG-II光束的信道容量都更好. 本文研究结果可以为提高基于涡旋光束的水下无线光通信系统性能提供一定的参考.

关键词:

Abstract

The channel capacity of the hypergeometric-Gaussian type-II (HyGG-II) beam propagating in ocean turbulence is investigated in this work. A method of utilizing a focusing mirror to enhance the channel capacity is further proposed. Comparison among focused HyGG-II beam, unfocused HyGG-II beam and Laguerre Gaussian beam is also carried out. The results indicate that the employment of focusing mirrors is effective in enhancing the channel capacity, however, the corresponding transmission distance range is restricted to about 100 m. Optimal enhancement is observed near the convergence point of the HyGG-II beam focused by mirrors. By increasing the wavelength and adjusting the focal length of the focusing mirror or the waist radius of the HyGG-II beam, the channel capacity can be further improved. Moreover, when the HyGG-II beam is transmitted in oceanic turbulence characterized by a smaller dissipation rate of kinetic energy per unit mass and a larger dissipation rate of mean-squared temperature, the enhancement effect of the focusing mirrors on the channel capacity is more pronounced. Compared with Laguerre Gaussian beams, HyGG-II beams exhibit superior channel capacity at the same transmission distance, no matter whether focusing mirrors are used. The findings can serve as a reference for designing underwater wireless optical communication systems based on the HyGG-II-beam.

Keywords:

作者及机构信息

1.
河北大学物理科学与技术学院, 保定　071002

2.
华北电力大学电子与通信工程系, 保定　071003

3.
华北电力大学, 河北省电力物联网技术重点实验室, 保定　071003

通信作者: 张荣香, zrx@hbu.edu.cn ; 刘涛, taoliu@ncepu.edu.cn ;

基金项目: 国家自然科学基金(批准号: 62071180)和河北省光电信息材料实验室绩效补贴基金(批准号: 22567634H)资助的课题.

Authors and contacts

1.
College of Physics Science and Technology, Hebei University, Baoding 071002, China

2.
Department of Electronic and Communication Engineering, North China Electric Power University, Baoding 071003, China

3.
Hebei Key Laboratory of Power Internet of Things Technology, North China Electric Power University, Baoding 071003, China

Corresponding author: ZHANG Rongxiang, zrx@hbu.edu.cn ; LIU Tao, taoliu@ncepu.edu.cn ;

Funds: Project supported by the National Natural Science Foundation of China (Grant No. 62071180) and the Optoelectronic Information Materials Laboratory Performance Subsidy Fund of Hebei Province, China (Grant No. 22567634H).

文章全文

参考文献

[1]	Xu L F, Zhou Z C, Ma X D, Korotkova O, Wang F 2024 Opt. Lett. 49 246 Google Scholar
[2]	郭岩, 吕恒, 丁春玲, 袁晨志, 金瑞波 2025 物理学报 74 014203 Google Scholar Guo Y, Lyu H, Ding C L, Yuan C Z, Jin R B 2025 Acta Phys. Sin. 74 014203 Google Scholar
[3]	Pan Y T, Wang P, Wang W, Li S, Cheng M J, Guo L X 2021 Opt. Express 29 12644 Google Scholar
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[7]	王明军, 刘豪振, 张佳琳, 王姣 2023 光学学报 43 2401004 Google Scholar Wang M J, Liu H Z, Zhang J L, Wang J 2023 Acta Opt. Sin. 43 2401004 Google Scholar
[8]	刘昌勋, 孙嘉敏, 商祥年, 顾永建, 李文东 2025 激光与光电子学进展 62 0301002 Google Scholar Liu C X, Sun J M, Shang X N, Gu X N, Li W D 2025 Laser Optoelectron. Prog. 62 0301002 Google Scholar
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施引文献

图 1 不同波长下聚焦HyGG-II光束、非聚焦HyGG-II光束和LG光束的信道容量随传输距离的变化

Fig. 1. Variations of channel capacity with transmission distance for focused HyGG-II beam, unfocused HyGG-II beam, and LG beam with different wavelengths.

下载: 全尺寸图片幻灯片

图 2 不同焦距下聚焦HyGG-II光束和非聚焦HyGG-II光束的信道容量随传输距离的变化

Fig. 2. Variations of channel capacity with transmission distance for unfocused HyGG-II beam and focused HyGG-II beam with different focal lengths.

下载: 全尺寸图片幻灯片

图 3 聚焦HyGG-II光束随传输距离的归一化光强分布

Fig. 3. Normalized intensity distributions of focused HyGG-II beam with transmission distance.

下载: 全尺寸图片幻灯片

图 4 不同束腰半径下聚焦HyGG-II光束、非聚焦HyGG-II光束和LG光束的信道容量随传输距离的变化

Fig. 4. Variations of channel capacity with transmission distance for focused HyGG-II beam, unfocused HyGG-II beam, and LG beam with different beam waists.

下载: 全尺寸图片幻灯片

图 5 不同单位质量动能耗散率下聚焦HyGG-II光束、非聚焦HyGG-II光束和LG光束的信道容量随传输距离的变化

Fig. 5. Variations of channel capacity with transmission distance for focused HyGG-II beam, unfocused HyGG-II beam, and LG beam with different dissipation rates of kinetic energy per unit mass.

下载: 全尺寸图片幻灯片

图 6 不同温度均方差耗散率下聚焦HyGG-II光束、非聚焦HyGG-II光束和LG光束的信道容量随传输距离的变化

Fig. 6. Variations of channel capacity with transmission distance for focused HyGG-II beam, unfocused HyGG-II beam, and LG beam with different dissipation rates of mean-squared temperature.

下载: 全尺寸图片幻灯片

图 7 不同温度盐度贡献比下聚焦HyGG-II光束、非聚焦HyGG-II光束和LG光束的信道容量随传输距离的变化

Fig. 7. Variations of channel capacity with transmission distance for focused HyGG-II beam, unfocused HyGG-II beam, and LG beam with different ratios of temperature and salinity contributions.

下载: 全尺寸图片幻灯片

下载: 全尺寸图片幻灯片

[1]	Xu L F, Zhou Z C, Ma X D, Korotkova O, Wang F 2024 Opt. Lett. 49 246 Google Scholar
[2]	郭岩, 吕恒, 丁春玲, 袁晨志, 金瑞波 2025 物理学报 74 014203 Google Scholar Guo Y, Lyu H, Ding C L, Yuan C Z, Jin R B 2025 Acta Phys. Sin. 74 014203 Google Scholar
[3]	Pan Y T, Wang P, Wang W, Li S, Cheng M J, Guo L X 2021 Opt. Express 29 12644 Google Scholar
[4]	Zhan H C, Wang L, Wang W N 2022 J. Lightwave Technol. 40 4129 Google Scholar
[5]	Zhan H C, Wang L, Wang W N, Zhao S M 2023 J. Opt. Soc. Am. B 40 187 Google Scholar
[6]	Wang H, Li H, Zhou Y L, Wang P 2022 Opt. Eng. 61 046102
[7]	王明军, 刘豪振, 张佳琳, 王姣 2023 光学学报 43 2401004 Google Scholar Wang M J, Liu H Z, Zhang J L, Wang J 2023 Acta Opt. Sin. 43 2401004 Google Scholar
[8]	刘昌勋, 孙嘉敏, 商祥年, 顾永建, 李文东 2025 激光与光电子学进展 62 0301002 Google Scholar Liu C X, Sun J M, Shang X N, Gu X N, Li W D 2025 Laser Optoelectron. Prog. 62 0301002 Google Scholar
[9]	Karimi E, Piccirillo B, Marrucci L, Santamato E 2008 Opt. Express 16 21069 Google Scholar
[10]	Jin G, Bian L R, Huang L, Tang B 2020 Opt. Laser Technol. 126 106124 Google Scholar
[11]	Khannous F, Ebrahim A A A, Belafhal A 2016 Chin. Phys. B 25 044206 Google Scholar
[12]	Gradshteyn I S, Ryzhik I M 2014 Table of Integrals, Series, and Products (New York: Academic Press) pp325–331
[13]	Torner L, Torres J, Carrasco S 2005 Opt. Express 13 873 Google Scholar
[14]	Yang H B, Yan Q Z, Wang P, Hu L F, Zhang Y X 2022 Opt. Express 30 9053 Google Scholar
[15]	Wang X, Wang L, Zhao S 2021 J. Mar. Sci. Eng. 9 442 Google Scholar
[16]	Nikishov V V, Nikishov V I 2020 Int. J. Fluid Mech. Res. 27 82
[17]	Paterson C 2005 Phys. Rev. Lett. 94 153901 Google Scholar
[18]	Wang S L, Yang D H, Zhu Y, Zhang Y X 2021 Appl. Opt. 60 4135 Google Scholar
[19]	Tong Z J, Yang X Q, Chen X, Zhang H, Zhang Y F, Zou H W, Zhao Y F, Xu J 2021 Opt. Express 29 20262 Google Scholar
[20]	Zhou H Y, Zhang M L, Wang X Z, Ren X M 2022 J. Lightwave Technol. 40 3654 Google Scholar
[21]	Han X T, Li P, Li G Y, Chang C, Jia S W, Xie Z, Liao P X, Nie W C, Xie X P 2023 Photonics 10 451 Google Scholar
[22]	Zhang T Y, Fei C, Wang Y, Du J, Xie Y T, Zhang F, Tian J H, Zhang G W, Wang G X, Hong X J, He S L 2024 Opt. Express 32 36207 Google Scholar
[23]	Ma Z Q, Gao G J, Zhang J L, Guo Y G, Zhang F, Huang S G 2025 J. Lightwave Technol. 43 1140 Google Scholar

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聚焦超几何高斯二型光束在海洋湍流中的信道容量