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KOLMOGOROV A N. Equations of turbulent motion in an incompressible fluid[J]. Dokl. Akad. Nauk SSSR, 1941, 30（4）: 299-303. (查阅网上资料, 未能确认本条文献修改是否正确, 请确认)(查阅网上资料, 未能确认刊名信息, 请确认). doi: 10.37188/CO.2023-0094
引用本文: KOLMOGOROV A N. Equations of turbulent motion in an incompressible fluid[J]. Dokl. Akad. Nauk SSSR, 1941, 30（4）: 299-303. (查阅网上资料, 未能确认本条文献修改是否正确, 请确认)(查阅网上资料, 未能确认刊名信息, 请确认). doi: 10.37188/CO.2023-0094
HOU Zheng-cheng, ZHANG Ming-ming, BAI Sheng-chuang, LI Shu-zhen, LIU Jun, HU You-you. 365彩票官网老虎机[J]. Chinese Optics. doi: 10.37188/CO.2023-0094
Citation: HOU Zheng-cheng, ZHANG Ming-ming, BAI Sheng-chuang, LI Shu-zhen, LIU Jun, HU You-you. 365彩票官网老虎机[J]. Chinese Optics. doi: 10.37188/CO.2023-0094

365赌球最新网址

doi: 10.37188/CO.2023-0094
  • 1.

    江苏科技大学 理学院, 江苏 镇江 212100

  • 2.

    浙江省光电探测材料及器件重点实验室, 浙江 宁波 315211

  • 3.

    宁波大学 高等技术研究院, 浙江 宁波 315211

基金项目:国家自然科学基金青年基金（No. 12104189，No. 12104190）、江苏省自然科学基金青年基金（No. BK20190953，No. BK20210874）、江苏省产学研合作项目（No. BY2020680）、江苏省高等学校自然科学研究面上项目（No. 20KJB140008）、浙江省光电探测材料及器件重点实验室开放基金（No. KLPMD2105）
详细信息
    作者简介:

    侯政诚(1998—)，男，江苏南京人，硕士研究生，主要从事光场传输方面的研究。E-mail：[email protected]

    张明明(1988—)，男，安徽亳州人，博士，讲师，主要从事光场调控与传输、固体激光器方面的研究。E-mail：[email protected]

  • 中图分类号:O436

365彩票官网老虎机

  • 1.

    School of Science, Jiangsu University of Science and Technology, Zhenjiang 212000, Jiangsu, China

  • 2.

    Key Laboratory of Photoelectric Materials and Devices of Zhejiang Province, Ningbo 315211, Zhejiang, China

  • 3.

    Advanced Technology Research Institute, Ningbo University, Ningbo 315211, Zhejiang, China

Funds:Supported by National Natural Science Foundation of China (No. 12104189, No. 12104190), Natural Science Foundation of Jiangsu Province (No. BK20190953, No. BK20210874), Jiangsu Province Industry University Research Cooperation Project (No. BY2020680), General Project of Natural Science research in Colleges and Universities of Jiangsu Province (No. 20KJB14008) and the Opening Project of Key Laboratory of Photoelectric Materials and Devices of Zhejiang Province (No. KLPMD2105).
More Information
  • 摘要:

    相较于单涡旋光束，涡旋阵列光束能够扩充信息的传输容量，研究其传输特性对其光通信应用具有重要意义。本文选取阶数为n的螺旋因斯-高斯(HIG n,n )模式，采用海上大气折射率变换的功率谱，模拟海面大气湍流。基于相位屏法研究了一维阵列涡旋光束在海面大气湍流中光强、相位、闪烁因子和质心漂移的变化情况。结果表明：（1）HIG n,n 模式的闪烁因子和质心漂移标准差随湍流强度以及大气湍流内尺度的增加而增加；（2）n为奇数的HIG n,n 模式的闪烁因子随着阶数的增大而减小，且高于n为偶数的HIG n,n 模式；（3）阶数n>1的HIG n,n 模式比LG0,1模式具有更好的稳定性；（4）阶数越高，HIG n,n 模式的质心漂移标准差越小。其次，选取线性阵列涡旋光束（LAVBs）进行对比，研究得出LAVBs比HIG光束具有更好的传输性能，但HIG光束独特的结构，可适用于不同的应用场景。最后，分析了椭圆参量和椭圆环数对HIG模式传输的影响，结果表明适当的增大椭圆参量或椭圆环数有助于提高HIG模式的抗湍流能力。研究结果对涡旋光束的海上应用具有指导意义。

    Abstract:

    Compared with a single vortex beam, vortex array beams can expand the transmission capacity of information, and the study of their propagation properties is of great significance for their optical communication applications. In this paper, we select the helical Ince-Gaussian (HIG n,n ) modes of order n and use the power spectrum of the refractive index fluctuations in the marine atmosphere to simulate the turbulence of the marine atmosphere. The changes of intensity, phase, scintillation index and spot centroid wander of a one-dimensional array vortex beam in marine atmospheric turbulence have been investigated systematically by using the phase screen method. We find that (1) when either the turbulence intensity or atmospheric turbulence inner scale is increased, both the scintillation index and spot centroid wander standard deviation of HIG n,n modes are enhanced; (2) the scintillation index of HIG n,n mode with odd n decreases with increasing mode order, and is higher than that of HIG n,n mode with even n; (3) the HIG n,n mode with order n>1 has better stability than the LG0,1 mode; and (4) the higher the mode order, the smaller the standard deviation of spot centroid wander of HIG n,n mode. In addition, we have also comparatively studied the propagation performance of the linear array vortex beams (LAVBs) and HIG beams, and found that even though LAVBs have better propagation performance than HIG beams, the unique structures of HIG beams can be applied to different application scenarios. Finally, the effects of ellipticity parameter and elliptic ring number on the propagation of the HIG modes are explored and analyzed. The results show that increasing the ellipticity parameter or elliptic ring number is beneficial to improving the anti-turbulence ability of the HIG modes. The research results obtained in this paper are of guiding significance for the offshore application of vortex beams.

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  • 图 1 不同阶数的HIG模式初始光强与相位分布。(a)光强分布；(b)相位分布

    Figure 1. Initial light intensity and phase distributions of HIG modes of different orders. (a) Intensity distributions; (b) phase distributions

    图 2 不同阶数的HIG模式在不同距离下的光强与相位分布。(a)光强；(b)相位

    Figure 2. Intensity and phase distribution of HIG modes with different orders at different distances. (a) Intensity; (b) phase

    图 3 HIG模式在不同强度湍流下闪烁因子。湍流强度：（a）2×10−16 m−2/3；（b）2×10−15 m−2/3；（c）2×10−14 m−2/3

    Figure 3. Scintillation index of HIG modes under different turbulence intensities. The turbulence intensity: (a) 2×10−16 m−2/3; (b) 2×10−15 m−2/3; (c) 2×10−14 m−2/3

    图 4 HIG模式在不同湍流内尺度下的闪烁因子。大气湍流内尺度：（a）l 0=0.1 m；（b）大气湍流内尺度l 0=0.01 m；（c）大气湍流内尺度l 0=0.005 m

    Figure 4. Scintillation index of HIG modes at different turbulence inner scales. Atmospheric turbulence inner scale: (a) l 0=0.1 m; (b) l 0=0.01 m; (c) l 0=0.005 m

    图 5 HIG模式在不同强度湍流下质心漂移标准差。湍流强度：（a）2×10−16 m−2/3；（b）2×10−15 m−2/3；（c）2×10−14 m−2/3

    Figure 5. Standard deviation of spot centroid wander of HIG modes under different turbulence intensities. The turbulence intensity: (a)2×10−16 m−2/3; (b) 2×10−15 m−2/3; (c) 2×10−14 m−2/3

    图 6 不同子光束数的LAVBs在不同距离下的光强与相位分布

    Figure 6. Intensity and phase distribution of LAVBs with different subbeam numbers at different distances

    图 7 LAVBs在不同距离下的质心漂移标准差与闪烁因子。（a）质心漂移标准差；（b）闪烁因子

    Figure 7. Standard deviation of spot centroid wander and scintillation index of LAVBs at different distances. (a) standard deviation of spot centroid wander; (b) scintillation index

    图 8 不同种类的HIG p,m 光束的光强分布。(a) HIG4,4，ζ=1.6；(b) HIG4,4，ζ=4；(c) HIG6,4，ζ=2；(d) HIG8,4，ζ=2

    Figure 8. The intensity distribution of different kinds of HIG p,m beams. (a) HIG4,4, ζ=1.6; (b) HIG4,4, ζ=4; (c) HIG6,4, ζ=2; (d) HIG8,4, ζ=2

    图 9 （a）HIG4,4光束的闪烁因子随椭圆参量的变化；（b）HIG4,4光束的质心漂移标准差随椭圆参量的变化；（c）不同椭圆环数的HIG光束的闪烁因子；（d）不同椭圆环数的HIG光束的质心漂移标准差

    Figure 9. (a) scintillation index of HIG4,4 beams as a function of ellipticity parameter; (b) standard deviation of spot centroid wander of HIG4,4 beams as a function of ellipticity parameter; (c) scintillation index of HIG beams with different elliptic ring numbers; (d) standard deviation of spot centroid wander of HIG beams with different elliptic ring numbers

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365赌球
  • 收稿日期: 2023-05-30
  • 录用日期: 2023-08-30
  • 网络出版日期: 2023-09-22

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