{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,12,29]],"date-time":"2025-12-29T18:44:58Z","timestamp":1767033898366,"version":"build-2065373602"},"reference-count":25,"publisher":"MDPI AG","issue":"13","license":[{"start":{"date-parts":[[2023,6,25]],"date-time":"2023-06-25T00:00:00Z","timestamp":1687651200000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"funder":[{"name":"National Natural Science Foundation of China","award":["62105029","61775022","U2141231","2021TQ0035","2021M700415","SKLA02022001A11","2022QNR0600"],"award-info":[{"award-number":["62105029","61775022","U2141231","2021TQ0035","2021M700415","SKLA02022001A11","2022QNR0600"]}]},{"name":"Postdoctoral Science Foundation of China","award":["62105029","61775022","U2141231","2021TQ0035","2021M700415","SKLA02022001A11","2022QNR0600"],"award-info":[{"award-number":["62105029","61775022","U2141231","2021TQ0035","2021M700415","SKLA02022001A11","2022QNR0600"]}]},{"name":"State Key Laboratory Foundation of applied optics","award":["62105029","61775022","U2141231","2021TQ0035","2021M700415","SKLA02022001A11","2022QNR0600"],"award-info":[{"award-number":["62105029","61775022","U2141231","2021TQ0035","2021M700415","SKLA02022001A11","2022QNR0600"]}]},{"name":"Young Elite Scientists Sponsorship Program by CAST","award":["62105029","61775022","U2141231","2021TQ0035","2021M700415","SKLA02022001A11","2022QNR0600"],"award-info":[{"award-number":["62105029","61775022","U2141231","2021TQ0035","2021M700415","SKLA02022001A11","2022QNR0600"]}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Sensors"],"abstract":"<jats:p>In this paper, an atmospheric structure constant Cn2 model is proposed for evaluating the channel turbulence degree of atmospheric laser communication. First, we derive a mathematical model for the correlation between the atmospheric coherence length r0, the isoplanatic angle \u03b80 and Cn2 using the Hufnagel\u2013Valley (HV) turbulence model. Then, we calculate the seven parameters of the HV model with the actual measured r0 and \u03b80 data as input quantities, so as to draw the Cn2 profile and the \u03b80 profile. The experimental results show that the fitted average Cn2 contours and single-day Cn2 contours have superior fitting performance compared with our historical data, and the daily correlation coefficient between the single-day computed \u03b80 contours and the measured \u03b80 contours is up to 87%. This result verifies the feasibility of the proposed method. The results validate the feasibility of the proposed method and provide a new technical tool for the inversion of turbulence Cn2 profiles.<\/jats:p>","DOI":"10.3390\/s23135874","type":"journal-article","created":{"date-parts":[[2023,6,26]],"date-time":"2023-06-26T05:28:02Z","timestamp":1687757282000},"page":"5874","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":2,"title":["A Computational Model of Cn2 Profile Inversion for Atmospheric Laser Communication in the Vertical Path"],"prefix":"10.3390","volume":"23","author":[{"given":"Haifeng","family":"Yao","sequence":"first","affiliation":[{"name":"Key Laboratory of Biomimetic Robots and Systems, Ministry of Education, School of Optics and Photonics, Beijing Institute of Technology, Beijing 100081, China"},{"name":"Key Laboratory of Photoelectric Measurement and Control and Optical Information Transfer Technology of Ministry of Education, Changchun University of Science and Technology, 7089 Weixing Road, Changchun 130022, China"},{"name":"State Key Laboratory of Applied Optics, Changchun Institute of Optics, Fine Mechanics and Physics, Chinese Academy of Sciences, Changchun 130033, China"}]},{"given":"Yuxi","family":"Cao","sequence":"additional","affiliation":[{"name":"Key Laboratory of Photoelectric Measurement and Control and Optical Information Transfer Technology of Ministry of Education, Changchun University of Science and Technology, 7089 Weixing Road, Changchun 130022, China"}]},{"given":"Weihao","family":"Wang","sequence":"additional","affiliation":[{"name":"Key Laboratory of Photoelectric Measurement and Control and Optical Information Transfer Technology of Ministry of Education, Changchun University of Science and Technology, 7089 Weixing Road, Changchun 130022, China"}]},{"given":"Qingfang","family":"Jiang","sequence":"additional","affiliation":[{"name":"Key Laboratory of Photoelectric Measurement and Control and Optical Information Transfer Technology of Ministry of Education, Changchun University of Science and Technology, 7089 Weixing Road, Changchun 130022, China"}]},{"given":"Jie","family":"Cao","sequence":"additional","affiliation":[{"name":"Key Laboratory of Biomimetic Robots and Systems, Ministry of Education, School of Optics and Photonics, Beijing Institute of Technology, Beijing 100081, China"}]},{"given":"Qun","family":"Hao","sequence":"additional","affiliation":[{"name":"Key Laboratory of Biomimetic Robots and Systems, Ministry of Education, School of Optics and Photonics, Beijing Institute of Technology, Beijing 100081, China"},{"name":"Key Laboratory of Photoelectric Measurement and Control and Optical Information Transfer Technology of Ministry of Education, Changchun University of Science and Technology, 7089 Weixing Road, Changchun 130022, China"}]},{"given":"Zhi","family":"Liu","sequence":"additional","affiliation":[{"name":"Key Laboratory of Photoelectric Measurement and Control and Optical Information Transfer Technology of Ministry of Education, Changchun University of Science and Technology, 7089 Weixing Road, Changchun 130022, China"}]},{"given":"Peng","family":"Zhang","sequence":"additional","affiliation":[{"name":"School of Space Command, Space Engineering University, No.1 Bayi Road, Huairou, Beijing 101416, China"}]},{"given":"Yidi","family":"Chang","sequence":"additional","affiliation":[{"name":"Key Laboratory of Photoelectric Measurement and Control and Optical Information Transfer Technology of Ministry of Education, Changchun University of Science and Technology, 7089 Weixing Road, Changchun 130022, China"}]},{"given":"Guiyun","family":"Zhang","sequence":"additional","affiliation":[{"name":"Key Laboratory of Photoelectric Measurement and Control and Optical Information Transfer Technology of Ministry of Education, Changchun University of Science and Technology, 7089 Weixing Road, Changchun 130022, China"}]},{"given":"Tongtong","family":"Geng","sequence":"additional","affiliation":[{"name":"Key Laboratory of Photoelectric Measurement and Control and Optical Information Transfer Technology of Ministry of Education, Changchun University of Science and Technology, 7089 Weixing Road, Changchun 130022, China"}]}],"member":"1968","published-online":{"date-parts":[[2023,6,25]]},"reference":[{"key":"ref_1","doi-asserted-by":"crossref","first-page":"34519","DOI":"10.1364\/OE.465847","article-title":"Generation of temporal fading envelope sequences for the FSOC channel based on atmospheric turbulence optical parameters","volume":"30","author":"Yao","year":"2022","journal-title":"Opt. 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