弱海洋湍流中高斯光束的到达角起伏特性

易湘; 班堃; 刘欢欢; 程明建

doi:10.13756/j.gtxyj.2023.04.007

您当前的位置：

首页 >

文章列表页 >

弱海洋湍流中高斯光束的到达角起伏特性

专题：水下光通信技术 | 更新时间：2023-08-14

- 弱海洋湍流中高斯光束的到达角起伏特性
- Angle-of-arrival Fluctuation Characteristics of Gaussian Beams in Weak Oceanic Turbulence
- 光通信研究 2023年第4期页码：34-41
- 作者机构：
  
  a.西安电子科技大学　综合业务网理论与关键技术国家重点实验室，西安　710071
  b.西安电子科技大学　物理学院，西安　710071
- 作者简介：
  
  易湘，讲师。E-mail：yixiang@xidian.edu.cn
- 基金信息：
  
  国家重点研发计划资助项目(2022YFC2808101)
- DOI：10.13756/j.gtxyj.2023.04.007
  中图分类号： TN929
- 纸质出版日期：2023-08-10，
  
  收稿日期：2023-02-18，
  
  修回日期：2023-03-01，
扫描看全文
易湘，班堃，刘欢欢，等.弱海洋湍流中高斯光束的到达角起伏特性[J].光通信研究，2023(4):34-41.

Yi X, Ban K, Liu H H, et al. Angle of arrival Fluctuation Characteristics of Gaussian Beams in Weak Oceanic Turbulence[J].Study on Optical Communications, 2023(4):34-41.
易湘，班堃，刘欢欢，等.弱海洋湍流中高斯光束的到达角起伏特性[J].光通信研究，2023(4):34-41. DOI： 10.13756/j.gtxyj.2023.04.007.

Yi X, Ban K, Liu H H, et al. Angle of arrival Fluctuation Characteristics of Gaussian Beams in Weak Oceanic Turbulence[J].Study on Optical Communications, 2023(4):34-41. DOI： 10.13756/j.gtxyj.2023.04.007.

摘要

海洋湍流引起的到达角（AOA）起伏是影响水下通信和成像系统性能的关键因素。基于通用的海洋湍流光功率谱（OTOPS），文章采用适用于弱湍流条件的Rytov近似方法推导出高斯光束的波结构函数（WSF）以及AOA起伏方差的全区间解析解，并就上述物理量及空间相干半径（SCR）在大间距（

≫

，其中，

为间距，

为Kolmogorov微尺度）和小间距（

≪

）渐近区间内的近似解进行了讨论。数值结果表明，当

≫

时，现有结果在菲涅尔比

=1附近存在较大偏差。在此基础上还分析了AOA起伏方差与

的关系。在渐近区间

≪

内，AOA起伏方差几乎不变；当处于区间

≈

时，AOA起伏方差急剧减小；当处于渐近区间

≫

时，AOA起伏方差的下降速度变得逐渐平缓。文章推导得到的结果更加准确并且适用范围更广，利用这些结果可以更好地研究高斯光束在弱海洋湍流中的传播特性。

Abstract

The Angle of Arrival (AOA) fluctuation caused by oceanic turbulence is the critical factor affecting the performance of underwater communication and imaging systems. Based on the general Oceanic Turbulence Optical Power Spectrum (OTOPS)

this paper derives analytical solutions for the full interval of the Wave Structure Function (WSF) and the AOA fluctuation variance of the Gaussian beam using the Rytov approximation method applicable to weak turbulence conditions. The approximate solutions of the above physical quantities and the Spatial Coherence Radius (SCR) in the asymptotic intervals of large spacing (

≫

where

denotes spacing and

denotes Kolmogorov microscale) and small spacing (

≪

) are also discussed. The numerical results show that the existing results have a large deviation around the Fresnel ratio

=1 when

≫

. On the basis of this

the relationship between AOA fluctuation variance and

is also analyzed. In the asymptotic interval

≪

the AOA fluctuation variance is almost constant. When in the interval

≈

the AOA fluctuation variance decreases sharply. When in the asymptotic interval

≫

the decline of the AOA fluctuation variance becomes gradually flat. The results derived in this paper are more accurate and applicable to a wider range. These results will enable a better study of the propagation properties of Gaussian beams in weak oceanic turbulence.

关键词

到达角起伏海洋湍流高斯光束Rytov近似

Keywords

AOA fluctuationoceanic turbulenceGaussian beamsRytov approximation

references

Andrews L C, Phillips R L. Laser Beam Propagation through Random Media [M]. Bellingham, Washington: SPIE Press, 2005.

Mai V V, Kim H. Mitigation of Effects of Angle-of-arrival Fluctuation and Pointing Error on Airborne Free-space Optical Systems [C]//Optical Fiber Communication Conference 2019. San Diego, CA, USA:IEEE, 2019:W2A.40.

Tatarskii V I.The Effects of the Turbulent Atmosphere on Wave Propagation[M]. Jerusalem, Israel: Israel Program for Scientific Translations, 1971.

Conan R, Borgnino J, Ziad A, et al. Analytical Solution for the Covariance and for the Decorrelation Time of the Angle of Arrival of a Wave Front Corrugated by Atmospheric Turbulence [J]. Journal of the Optical Society of America, A. Optics, Image Science, and Vision, 2000, 17(10):1807-1818.

Cheon Y, Muschinski A. Closed-form Approximations for the Angle-of-arrival Variance of Plane and Spherical Waves Propagating through Homogeneous and Isotropic Turbulence [J]. Journal of the Optical Society of America, A. Optics, Image Science, and Vision, 2007, 24(2):415-422.

Tofsted D H. Outer-scale Effects on Beam-wander and Angle-of-arrival Variances [J]. Applied Optics, 1992, 31(27):5865-5870.

Eyyuboglu H T, Baykal Y. Angle-of-arrival Fluctuations for General-type Beams [J]. Optical Engineering, 2007, 46(9):096001.

Be1enkii M S, Karis S J, IIBrown J M, et al. Experimental Study of the Effect of Non-kolmogorov Stratospheric Turbulence on Star Image Motion [C]//Optical Science, Engineering and Instrumentation. San Diego, CA, US: SPIE, 1997:290143.

Kyrazis D T, Wissler J B, Keating D D B, et al. Measurement of Optical Turbulence in the Upper Troposphere and Lower Stratosphere [C]//Laser Beam Propagation and Control. Los Angeles, CA, US:SPIE, 1994:177698.

Du W H, Yu S Y, Tan L Y, et al. Angle-of-arrival Fluctuations for Wave Propagation through Non-kolmolgorov Turbulence [J]. Optics Communications, 2009, 282(5):705-708.

Toselli I, Andrews L C, Phillips R L, et al. Angle of Arrival Fluctuations for Free Space Laser Beam Propagation through Non Kolmogorov Turbulence [C]//Proceedings of SPIE-The International Society for Optical Engineering. Orlando, Florida, US: SPIE, 2007:149-160.

Xue B D, Cui L Y, Xue W F, et al. Theoretical Expressions of the Angle-of-arrival Variance for Optical Waves Propagating through Non-kolmogorov Turbulence [J]. Optics Express, 2011, 19(9):8433-8443.

Ata Y. Angle-of-arrival Fluctuations and Adaptive Optics Correction in Non-kolmogorov Turbulent Atmosphere [J]. IEEE Transactions on Antennas and Propagation, 2022, 70(12):12061-12070.

Chao G, Jiao L B, Li X F. An Empirical Model of Angle-of-arrival Variance for a Gaussian Wave Propagation through Non-kolmogorov Turbulence [J]. International Journal of Optics, 2020(1):7096276.

Nikishov V V, Nikishov V I. Spectrum of Turbulent Fluctuations of the Sea-water Refraction Index [J]. Fluid Mechanics Research, 2000, 27(1):82-98.

Lu L, Wang Z Q, Zhang P F, et al. Phase Structure Function and AOA Fluctuations of Plane and Spherical Waves Propagating through Oceanic Turbulence [J]. Journal of Optics, 2015, 17(8):085610.

Sun S W, Kang F Z, Wang H. The Effect of Oceanic Turbulence on Optical Receiving Systems [C]//Seventh Symposium on Novel Photoelectronic Detection Technology and Applications. Kunming, China: SPIE, 2021:1379-1388.

Hill R J. Models of the Scalar Spectrum for Turbulent Advection [J]. Journal of Fluid Mechanics, 1978, 88(3): 541-562.

Hill R J. Optical Propagation in Turbulent Water [J]. Journal of the Optical Society of America, 1978, 68(8): 1067-1072.

Yao J R, Elamassie M, Korotkova O. Spatial Power Spectrum of Natural Water Turbulence with any Average Temperature, Salinity Concentration, and Light Wavelength [J]. Journal of the Optical Society of America, A.Optics, Image Science, and Vision, 2020, 37(10):1614-1621.

Ata Y, Korotkova O. Wave and Phase Structure Functions of Plane and Spherical Waves in Particle-free Natural Turbulent Waters [J]. Optics Communications, 2021, 497:127169.

Ata Y. Structure Function, Coherence Length, and Angle-of-arrival Variance for Gaussian Beam Propagation in Turbulent Waters [J]. Journal of the Optical Society of America, A. Optics, Image Science, and Vision, 2022, 39(1):63-71.

Yao J R, Zhang H J, Wang R N, et al. Wide-range Prandtl/Schmidt Number Power Spectrum of Optical Turbulence and Its Application to Oceanic Light Propagation [J]. Optics Express, 2019, 27(20):27807-27819.

Andrews L C, Miller W B, Ricklin J C. Spatial Coherence of a Gaussian-beam Wave in Weak and Strong Optical Turbulence [J]. Journal of the Optical Society of America, A.Optics, Image Science, and Vision, 1994, 11(5):1653-1660.

Young C Y, Andrews L C. Effects of a Modified Spectral Model on the Spatial Coherence of a Laser Beam [J]. Waves in Random Media, 1994, 4(3):385-397.

Jeffrey A, Dai H H. Handbook of Mathematical Formulas and Integrals [M]. Amsterdam, Netherlands: Elsevier, 2008.

Gradshteyn I S, Ryzhik I M. Tables of Integrals, Series and Products [M]. New York, US: Academic Press, 2014.

Andrews L C, Vester S, Richardson C E. Analytic Expressions for the Wave Structure Function based on a Bump Spectral Model for Refractive Index Fluctuations [J]. Journal of Modern Optics, 1993, 40(5): 931-938.

Yi X, Liu H H, Ban K, et al. Optical Wireless Communication System Performance in Natural Water Turbulence of any Strength [J]. Journal of the Optical Society of America, A. Optics, Image Science, and Vision, 2022, 39(12): 2246-2256.

更多指标>

浏览量

下载量

CSCD

文章被引用时，请邮件提醒。

提交

工具集

关联资源

暂无数据