Influence of atmospheric turbulence on temporal coherence characteristics of received optical field

Abdikirim Azizigul; Tao Zhi-Wei; Liu Shi-Wei; Li Yan-Ling; Rao Rui-Zhong; Ren Yi-Chong

doi:10.7498/aps.71.20221202

Abstract

In the process of laser propagation in atmosphere, its coherence characteristics are reduced by turbulence, which further affects the efficiency and performance of coherent detection process. In this paper, atmospheric coherence time is defined to describe the fluctuation speed of laser field after atmospheric transmission. The relative size of atmospheric coherence time and coherence process duration time determines the performance of coherent detection process. According to the infinitely long phase screen technology, we simulate laser atmospheric transmission, and systematically study the influences of atmospheric parameters, transceiver parameters and wavelength on atmospheric coherence time. It is found that the atmospheric coherence time is positively correlated with wavelength, receiving aperture and atmospheric coherence length, and inversely proportional to wind speed, which shows that the atmospheric coherence time can be effectively improved by improving the optical design and changing the laser band, thus effectively reducing the disturbance caused by turbulence and improving the stability of the received light field. The atmospheric coherence time defined in this paper is an important parameter to measure the influence of turbulence on coherent detection. This study can provide a powerful reference for evaluating the influence of atmosphere on coherent detection process.

Keywords:

Authors and contacts

1.
Key Laboratory of Atmospheric Optics, Anhui Institute of Optics and Fine Mechanics, Hefei Institutes of Physical Science, Chinese Academy of Sciences, Hefei 230031, China
2.
Science Island Branch, Graduate School of University of Science and Technology of China, Hefei 230026, China
3.
School of Environmental Science and Optoelectronic Technology, University of Science and Technology of China, Hefei 230026, China
4.
Advanced Laser Technology Anhui Laboratory, Hefei 230037, China

Corresponding author: Ren Yi-Chong, rych@aiofm.ac.cn

Funds: Project supported by the Young Scientists Fund of the Natural Science Foundation of Anhui Province, China (Grant No. 1908085QA37), the Young Scientists Fund of the National Natural Science Foundation of China (Grant No. 11904369), and the Open Research Fund of State Key Laboratory of Pulsed Power Laser Technology, China (Grant No. 2019ZR07).

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References

[1]	Zhao Y Y, Zhu D S, Tu Y R, Pi L L, Li H T, Xu L, Hu Zh J, Shen Y C, Yu B L, Lu L 2021 Opt. Lett. 46 1229 Google Scholar
[2]	Redding B, Choma M A, Cao H 2012 Nat. Photon. 6 355 Google Scholar
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Cited By

图 1 多层动态相位屏原理示意图

Figure 1. Schematic of infinitely long phase screen principle.

DownLoad: Full-Size Img PowerPoint

图 2 $\lambda = 532\;{\text{ nm}}$, $L = 1100\;{\text{ m}}$, ${w_0} = 0.2\;{\text{ m}}$, 大气相干时间在不同风速下随大气相干长度变化

Figure 2. Atmospheric coherent time varies with atmospheric coherence length in different wind speeds at $\lambda = 532\;{\text{ nm}}$, $L = 1100\;{\text{ m}}$, ${w_0} = 0.2\;{\text{ m}}$.

DownLoad: Full-Size Img PowerPoint

图 3 大气相干时间随大气相干长度与风速的变化　(a) L = 1100 m, ${w_0} = 0.1\;{\text{ m}}$, $\nu = 10 \;{\rm{m/s}}$; (b) $L = 1100\;{\text{ m}}$, ${w_0} = 0.1\;{\text{ m}}$, ${r_0} = 0.1\;{\text{ m}}$; (c) $\lambda = 532\;{\text{ nm}}$, ${w_0} = 0.1\;{\text{ m}}$, $\nu = 10 \;{\rm{m/s}}$; (d) $\lambda = 532\;{\text{ nm}}$, ${w_0} = 0.1\;{\text{ m}}$, ${r_0} = 0.1\;{\text{ m}}$; (e) $L = 1100\;{\text{ m}}$, $\lambda = 532\;{\text{ nm}}$, $\nu = 10\;{\text{ }}{{\text{m}} \mathord{\left/ {\vphantom {{\text{m}} {\text{s}}}} \right. } {\text{s}}}$; (f) $L = 1100\;{\text{ m}}$, $\lambda = 532\;{\text{ nm}}$, ${r_0} = 0.1\;{\text{ m}}$

Figure 3. Atmospheric coherent time varies with atmospheric coherence length and wind speeds: (a) $L = 1100\;{\text{ m}}$, ${w_0} = 0.1\;{\text{ m}}$, $\nu = 10 \;{\rm{m/s}}$; (b) $L = 1100\;{\text{ m}}$, ${w_0} = 0.1\;{\text{ m}}$, ${r_0} = 0.1\;{\text{ m}}$; (c) $\lambda = 532\;{\text{ nm}}$, ${w_0} = 0.1\;{\text{ m}}$, $\nu = 10 \;{\rm{m/s}}$; (d) $\lambda = 532\;{\text{ nm}}$, ${w_0} = 0.1\;{\text{ m}}$, ${r_0} = 0.1\;{\text{ m}}$; (e) $L = 1100\;{\text{ m}}$, $\lambda = 532\;{\text{ nm}}$, $\nu = 10\;{\text{ }}{{\text{m}} \mathord{\left/ {\vphantom {{\text{m}} {\text{s}}}} \right. } {\text{s}}}$; (f) $L = 1100\;{\text{ m}}$, $\lambda = 532\;{\text{ nm}}$, ${r_0} = 0.1\;{\text{ m}}$.

DownLoad: Full-Size Img PowerPoint

图 4 大气相干时间随束腰半径变化　 (a) $L = 1100\;{\text{ m}}$, $\nu = 10 \;{\rm{m/s}}$, $\lambda = 532\;{\text{ nm}}$, $D = 0.5\;{\text{ m}}$; (b) $\nu = 10 \;{\rm{m/s}}$, ${r_0} = 0.1\;{\text{ m}}$, $\lambda = 532\;{\text{ nm}}$, $D = 0.5\;{\text{ m}}$; (c) $L = 1100\;{\text{ m}}$, $\nu = 10 \;{\rm{m/s}}$, ${r_0} = 0.1\;{\text{ m}}$, $\lambda = 532\;{\text{ nm}}$; (d) $\nu = 10 \;{\rm{m/s}}$, ${r_0} = 0.1\;{\text{ m}}$, $L = 1100\;{\text{ m}}$, $\lambda = 532\;{\text{ nm}}$

Figure 4. Atmospheric coherent time varies with beam waist radius: (a) $L = 1100\;{\text{ m}}$, $\nu = 10 \;{\rm{m/s}}$, $\lambda = 532\;{\text{ nm}}$, $D = 0.5\;{\text{ m}}$; (b) $\nu = 10 \;{\rm{m/s}}$, ${r_0} = 0.1\;{\text{ m}}$, $\lambda = 532\;{\text{ nm}}$, $D = 0.5\;{\text{ m}}$; (c) $L = 1100\;{\text{ m}}$, $\nu = 10 \;{\rm{m/s}}$, ${r_0} = 0.1\;{\text{ m}}$, $\lambda = 532\;{\text{ nm}}$; (d) $\nu = 10 \;{\rm{m/s}}$, ${r_0} = 0.1\;{\text{ m}}$, $L = 1100\;{\text{ m}}$, $\lambda = 532\;{\text{ nm}}$

DownLoad: Full-Size Img PowerPoint

图 5 $\nu = 10 \;{\rm{m/s}} , L=1100\;\text{ m }, \lambda =532\;\text{ nm}$, 大气相干时间随接收口径的变化　(a) ${w_0} = 0.1\;{\text{ m}}$; (b) ${r_0} = 0.1\;{\text{ m }}$

Figure 5. Atmospheric coherent time varies with receiving aperture at $\nu = 10 \;{\rm{m/s}} , L=1100\;\text{ m }, \lambda =532\;\text{ nm}$: (a) ${w_0} = 0.1\;{\text{ m}}$; (b) ${r_0} = 0.1\;{\text{ m }}$

DownLoad: Full-Size Img PowerPoint

[1]	Zhao Y Y, Zhu D S, Tu Y R, Pi L L, Li H T, Xu L, Hu Zh J, Shen Y C, Yu B L, Lu L 2021 Opt. Lett. 46 1229 Google Scholar
[2]	Redding B, Choma M A, Cao H 2012 Nat. Photon. 6 355 Google Scholar
[3]	黄龙, 冯国英, 廖宇 2015 红外与激光工程 44 3530 Google Scholar Huang L, Feng G Y, Liao Y 2015 Infrared Laser Eng. 44 3530 Google Scholar
[4]	Semjon S, Mark G, Werner R 2016 Opt. Eng. 55 111614
[5]	曾素娟, 蓝银涛, 高伟健, 黄文燕, 舒焱, 葛立宏, 张建 2021 激光生物学报 30 131 Google Scholar Zeng S J, Lan Y T, Gao W J, Huang W Y, Shu Y, Ge L H, Zhang J 2021 Acta. Laser Bio. Sinc. 30 131 Google Scholar
[6]	Ali R 2021 Ultrasonic Imaging. 43 282 Google Scholar
[7]	张羽, 罗秀娟, 刘辉, 陈明徕 2018 物理学报 67 044201 Google Scholar Zhang Y, Luo X J, Liu H, Chen M L 2018 Acta Phys. Sin. 67 044201 Google Scholar
[8]	陈晓文, 汤明玥, 季小玲 2008 物理学报 4 2607 Google Scholar Chen X W, Tang M Y, Ji X L 2008 Acta Phys. Sin. 4 2607 Google Scholar
[9]	陈晓文, 季小玲 2009 物理学报 58 2435 Google Scholar Chen X W, Ji X L 2009 Acta Phys. Sin. 58 2435 Google Scholar
[10]	季小玲, 肖希, 吕百达 2004 物理学报 53 3996 Google Scholar Ji X L, Xiao X, Lü B D 2004 Acta Phys. Sin. 53 3996 Google Scholar
[11]	王华, 王向朝, 曾爱军, 杨坤 2008 物理学报 57 634 Google Scholar Wang H, Wang X C, Zeng A J, Yang K 2008 Acta Phys. Sin. 57 634 Google Scholar
[12]	任建迎, 孙华燕, 赵延仲, 张来线 2020 中国光学 13 728 Google Scholar Ren J Y, Sun H Y, Zhao T Z, Zhang L X 2020 Chin. Opt. 13 728 Google Scholar
[13]	王华, 王向朝, 曾爱军 2007 光学学报 27 1548 Google Scholar Wang H, Wang X C, Zeng A J 2007 Acta Optic Sin. 27 1548 Google Scholar
[14]	饶瑞中 2005 光在湍流大气中的传播 (合肥: 安徽科学技术出版社) 第95页 Rao R Z 2005 Light Propagation in the Turbulent Atmosphere (Hefei: Anhui Science & Technology Press) p95 (in Chinese)
[15]	McGlamery B L 1976 Proc. SPIE. 0074 954724 Google Scholar
[16]	Sedmak G 2004 Appl. Opt. 38 2161 Google Scholar
[17]	吴晗玲, 严海星, 李新阳 2009 光学学报 129 114 Wu H L, Yan H X, Li X Y 2009 Acta. Opt. Sinc. 129 114
[18]	Roddier N A 1990 Opt. Eng. 29 1174 Google Scholar
[19]	Harding C M, Johnston R A, Lane R G 1999 Appl. Opt. 38 2161 Google Scholar
[20]	Assémat F, Wilson R W, Gendron E 2006 Opt. Express. 14 988 Google Scholar
[21]	Roddier F 1981 Prog. Optics 19 281 Google Scholar
[22]	Ziad A, Borgnino J, Martin F, Maire J, Mourad D 2010 Proc. SPIE. 7733 857259 Google Scholar
[23]	Fried D L 1965 J. Opt. Soc. Am. 55 1427 Google Scholar
[24]	Press W H, Teukolsky S A, Vetterling W T, Flannery B P 2003 Eur. J. Phys. 24 329 Google Scholar
[25]	Andrews L C, Phillips R L 2005 SPIE Press. 201 250 Google Scholar
[26]	Wolf E 1954 Nuovo. Cimento. 12 884 Google Scholar
[27]	Longuet-Higgins H C, Roberts M De V 1955 Pro. Roy. Soc. A 230 110 Google Scholar
[28]	Beckers J M 1993 Annu. Rev. Astron. Astr. 10 1146 Google Scholar

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Vol. 71, Issue 23 - 2022-12-05

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