{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,4,20]],"date-time":"2026-04-20T14:32:28Z","timestamp":1776695548439,"version":"3.51.2"},"reference-count":35,"publisher":"MDPI AG","issue":"6","license":[{"start":{"date-parts":[[2022,3,17]],"date-time":"2022-03-17T00:00:00Z","timestamp":1647475200000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"funder":[{"DOI":"10.13039\/501100001809","name":"National Natural Science Foundation of China","doi-asserted-by":"publisher","award":["61765001"],"award-info":[{"award-number":["61765001"]}],"id":[{"id":"10.13039\/501100001809","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/501100001809","name":"National Natural Science Foundation of China","doi-asserted-by":"publisher","award":["61565001"],"award-info":[{"award-number":["61565001"]}],"id":[{"id":"10.13039\/501100001809","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/501100004772","name":"Natural Science Foundation of Ningxia Province","doi-asserted-by":"publisher","award":["2021AAC02021"],"award-info":[{"award-number":["2021AAC02021"]}],"id":[{"id":"10.13039\/501100004772","id-type":"DOI","asserted-by":"publisher"}]},{"name":"Leading Talents of Scientific and Technological Innovation of Ningxia","award":["no"],"award-info":[{"award-number":["no"]}]},{"name":"Plan for Leading Talents of the State Ethnic Affairs Commission of the People\u2019s Republic of China","award":["no"],"award-info":[{"award-number":["no"]}]},{"name":"High level talent selection and training plan of North Minzu University","award":["no"],"award-info":[{"award-number":["no"]}]},{"name":"Innovation Team of Lidar Atmosphere Remote Sensing of Ningxia","award":["no"],"award-info":[{"award-number":["no"]}]},{"name":"Graduate student innovation project of North Minzu University","award":["YCX21048"],"award-info":[{"award-number":["YCX21048"]}]},{"name":"Ningxia first-class discipline and scientific research projects (electronic science and technology)","award":["NXYLXK2017A07"],"award-info":[{"award-number":["NXYLXK2017A07"]}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Sensors"],"abstract":"<jats:p>Based on the residual turbulent scintillation theory, the Mie-scattering lidar can measure the intensity of atmospheric turbulence by detecting the light intensity scintillation index of the laser return signal. In order to evaluate and optimize the reliability of the Mie-scattering lidar system for detecting atmospheric turbulence, the appropriate parameters of the Mie-scattering lidar system are selected and optimized using the residual turbulent scintillation theory. Then, the Fourier transform method is employed to perform the numerical simulation of the phase screen of the laser light intensity transformation on the vertical transmission path of atmospheric turbulence. The phase screen simulation, low-frequency optimization, and scintillation index calculation methods are provided in detail, respectively. Based on the phase distribution of the laser beam, the scintillation index is obtained. Through the relationship between the scintillation index and the atmospheric turbulent refractive index structure constant, the atmospheric turbulence profile is inverted. The simulation results show that the atmospheric refractive index structure constant profile obtained by the iterative method is consistent with the input HV5\/7 model below 6500 m, which has great guiding significance to carry out actual experiments to measure atmospheric turbulence using the Mie lidar.<\/jats:p>","DOI":"10.3390\/s22062333","type":"journal-article","created":{"date-parts":[[2022,3,20]],"date-time":"2022-03-20T21:37:17Z","timestamp":1647812237000},"page":"2333","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":10,"title":["Simulation and Analysis of Mie-Scattering Lidar-Measuring Atmospheric Turbulence Profile"],"prefix":"10.3390","volume":"22","author":[{"given":"Yuqing","family":"Lu","sequence":"first","affiliation":[{"name":"School of Electrical and Information Engineering, North Minzu University, North Wenchang Road, Yinchuan 750021, China"},{"name":"Key Laboratory of Atmospheric Environment Remote Sensing of Ningxia Province, North Wenchang Road, Yinchuan 750021, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Jiandong","family":"Mao","sequence":"additional","affiliation":[{"name":"School of Electrical and Information Engineering, North Minzu University, North Wenchang Road, Yinchuan 750021, China"},{"name":"Key Laboratory of Atmospheric Environment Remote Sensing of Ningxia Province, North Wenchang Road, Yinchuan 750021, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Yingnan","family":"Zhang","sequence":"additional","affiliation":[{"name":"School of Electrical and Information Engineering, North Minzu University, North Wenchang Road, Yinchuan 750021, China"},{"name":"Key Laboratory of Atmospheric Environment Remote Sensing of Ningxia Province, North Wenchang Road, Yinchuan 750021, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Hu","family":"Zhao","sequence":"additional","affiliation":[{"name":"School of Electrical and Information Engineering, North Minzu University, North Wenchang Road, Yinchuan 750021, China"},{"name":"Key Laboratory of Atmospheric Environment Remote Sensing of Ningxia Province, North Wenchang Road, Yinchuan 750021, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Chunyan","family":"Zhou","sequence":"additional","affiliation":[{"name":"School of Electrical and Information Engineering, North Minzu University, North Wenchang Road, Yinchuan 750021, China"},{"name":"Key Laboratory of Atmospheric Environment Remote Sensing of Ningxia Province, North Wenchang Road, Yinchuan 750021, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Xin","family":"Gong","sequence":"additional","affiliation":[{"name":"School of Electrical and Information Engineering, North Minzu University, North Wenchang Road, Yinchuan 750021, China"},{"name":"Key Laboratory of Atmospheric Environment Remote Sensing of Ningxia Province, North Wenchang Road, Yinchuan 750021, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Qiang","family":"Wang","sequence":"additional","affiliation":[{"name":"School of Electrical and Information Engineering, North Minzu University, North Wenchang Road, Yinchuan 750021, China"},{"name":"Key Laboratory of Atmospheric Environment Remote Sensing of Ningxia Province, North Wenchang Road, Yinchuan 750021, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Yi","family":"Zhang","sequence":"additional","affiliation":[{"name":"School of Electrical and Information Engineering, North Minzu University, North Wenchang Road, Yinchuan 750021, China"},{"name":"Key Laboratory of Atmospheric Environment Remote Sensing of Ningxia Province, North Wenchang Road, Yinchuan 750021, China"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"1968","published-online":{"date-parts":[[2022,3,17]]},"reference":[{"key":"ref_1","unstructured":"Rao, R. (2005). Light Propagation in the Turbulent Atmosphere, Anhui Science and Technology Press."},{"key":"ref_2","unstructured":"Zhang, H. (2014). Basics of Atmospheric Turbulence, Peking University Press."},{"key":"ref_3","doi-asserted-by":"crossref","first-page":"3467","DOI":"10.1093\/mnras\/stu2655","article-title":"Simulation of atmospheric turbulence phase screen for large telescope and optical interferometer","volume":"447","author":"Jia","year":"2015","journal-title":"Mon. Not. R. Astron. Soc."},{"key":"ref_4","doi-asserted-by":"crossref","first-page":"0706002","DOI":"10.3788\/AOS201939.0706002","article-title":"Propagation of OFDM-OAM optical signal in atmospheric turbulence","volume":"39","author":"Liu","year":"2019","journal-title":"Acta Opt. Sin."},{"key":"ref_5","unstructured":"Wu, P. (2015). Measurement and Research of Beam Transmission Characteristics in Atmospheric Laser Communication System, Xi\u2019an University of Technology."},{"key":"ref_6","first-page":"184","article-title":"Meteorological Parameter and Atmospheric Turbulence Measurement System for Locating Astronomical Observatory","volume":"2001","author":"Wu","year":"2001","journal-title":"Chin. J. Quantum Electron."},{"key":"ref_7","doi-asserted-by":"crossref","first-page":"3726","DOI":"10.1364\/AO.389121","article-title":"Precision analysis of turbulence phase screens and its influence on simulation of Gaussian-beam propagating in the turbulent atmosphere","volume":"59","author":"Chen","year":"2020","journal-title":"Appl. Opt."},{"key":"ref_8","unstructured":"Zhang, Z., and Xu, C. (2005). Theory and Modelling of Turbulence, Tsinghua University Press."},{"key":"ref_9","doi-asserted-by":"crossref","first-page":"020101","DOI":"10.3788\/LOP54.020101","article-title":"Fast Simulation for High Precision Atmospheric Turbulence Phase Screen Based on Power Spectrum","volume":"54","author":"Zhang","year":"2017","journal-title":"Laser Optoelectron. Prog."},{"key":"ref_10","doi-asserted-by":"crossref","first-page":"209","DOI":"10.1088\/0959-7174\/2\/3\/003","article-title":"Simulation of a Kolmogorov phase screen","volume":"2","author":"Lane","year":"1992","journal-title":"Waves Random Media"},{"key":"ref_11","doi-asserted-by":"crossref","first-page":"6633","DOI":"10.7498\/aps.58.6633","article-title":"Phase screen distribution for simulating laser propagation along an inhomogeneous atmospheric path","volume":"58","author":"Qian","year":"2009","journal-title":"Acta Phys. Sin."},{"key":"ref_12","first-page":"1986","article-title":"Selection of Computing Parameters in Numerical Simulation of Laser Beam Propagation in Turbulent Atmosphere","volume":"35","author":"Qian","year":"2008","journal-title":"Acta Phys. Sin."},{"key":"ref_13","doi-asserted-by":"crossref","unstructured":"Khare, K., Lochab, P., and Senthilkumaran, P. (2020). Numerical Simulation of Laser Beam Propagation through Turbulence, IOP Publishing.","DOI":"10.1088\/978-0-7503-2280-5ch8"},{"key":"ref_14","doi-asserted-by":"crossref","first-page":"479","DOI":"10.1364\/JOSAA.30.000479","article-title":"Sparse spectrum model for a turbulent phase","volume":"30","author":"Charnotskii","year":"2013","journal-title":"J. Opt. Soc. Am. A"},{"key":"ref_15","first-page":"35","article-title":"Simulation of Atmospheric Turbulence Phase Screen Based on Wavelet Analysis","volume":"37","author":"Feng","year":"2017","journal-title":"Acta Opt."},{"key":"ref_16","doi-asserted-by":"crossref","first-page":"134205","DOI":"10.7498\/aps.68.20190081","article-title":"Generation of turbulence phase screen based on gravitational search algorithm","volume":"68","author":"Cheng","year":"2019","journal-title":"Acta Phys. Sin. Chin. Ed."},{"key":"ref_17","first-page":"100","article-title":"High-precision generation method of turbulent phase screen based on modified atmospheric spectrum","volume":"49","author":"Zhang","year":"2020","journal-title":"Acta Phys. Sin."},{"key":"ref_18","unstructured":"Qian, X., and Rao, R. (2006). Spatial distribution of Gaussian-beam scintillation in atmosphere by numerical simulation. Chin. J. Quantum Electron., 320\u2013324."},{"key":"ref_19","first-page":"109","article-title":"Simulation of Scintillation Index of Reflected Wave from a Retro-Reflector in Turbulence","volume":"36","author":"Han","year":"2017","journal-title":"Tech. Autom. Appl."},{"key":"ref_20","doi-asserted-by":"crossref","first-page":"601002","DOI":"10.3788\/AOS201838.0601002","article-title":"Numerical Analysis of Beam Spreading of High-Power Solid Laser Propagation Through Non-Kolmogorov Turbulent Atmosphere","volume":"38","author":"Yujie","year":"2018","journal-title":"Acta Opt. Sin."},{"key":"ref_21","first-page":"29","article-title":"Error analysis of differential image motion lidar","volume":"34","author":"Guo","year":"2014","journal-title":"Acta Opt. Sin."},{"key":"ref_22","first-page":"920","article-title":"Simulation and analysis of turbulence signals in airborne pulse Doppler radar","volume":"34","author":"Liu","year":"2012","journal-title":"Syst. Eng. Electron."},{"key":"ref_23","unstructured":"Liu, W. (2015). Research on Inversion Method of Backscatter Lidar Atmospheric Visibility, Civil Aviation University of China."},{"key":"ref_24","first-page":"160","article-title":"Atmospheric turbulence profile measurement techniques based on scintillation method","volume":"39","author":"Ni","year":"2010","journal-title":"Infrared Laser Eng."},{"key":"ref_25","doi-asserted-by":"crossref","first-page":"1150","DOI":"10.1364\/JOSAA.11.001150","article-title":"Effect of residual turbulent scintillation and a remote-sensing technique for simultaneous determination of turbulence and scattering parameters of the atmosphere","volume":"11","year":"1994","journal-title":"J. Opt. Soc. Am. A"},{"key":"ref_26","first-page":"5","article-title":"Development and detection of small Mie scattering lidar","volume":"39","author":"Mao","year":"2010","journal-title":"Acta Photonica Sin."},{"key":"ref_27","first-page":"89","article-title":"Research on the Method of Obtaining Turbulence Information Using Mie scattering Lidar","volume":"6","author":"Cui","year":"2011","journal-title":"J. Atmos. Environ. Opt."},{"key":"ref_28","doi-asserted-by":"crossref","unstructured":"Schmidt, J.D. (2010). Numerical Simulation of Optical Wave Propagation, SPIE Press.","DOI":"10.1117\/3.866274"},{"key":"ref_29","first-page":"226","article-title":"Research on Denoising Algorithm of Lidar Signal Based on Wavelet Packet Analysis","volume":"38","author":"Mao","year":"2011","journal-title":"China Laser"},{"key":"ref_30","first-page":"33","article-title":"Simulation of the Scintillation Index of Plane Wave Propagating through General Non-Kolmogorov Atmospheric Turbulence Path","volume":"35","author":"Li","year":"2015","journal-title":"Acta Opt. Sin."},{"key":"ref_31","first-page":"67","article-title":"Modeling and Simulation of Laser Pulse Atmospheric Turbulence Transmission","volume":"40","author":"Li","year":"2017","journal-title":"J. Changchun Univ. Sci. Technol."},{"key":"ref_32","unstructured":"Zhang, X. (2013). Analysis and Simulation of Turbulence Effect of Atmospheric Laser Communication, Xidian University."},{"key":"ref_33","doi-asserted-by":"crossref","first-page":"4527","DOI":"10.1364\/AO.43.004527","article-title":"Implementation of fast-Fourier-transform-based simulations of extra-large atmospheric phase and scintillation screens","volume":"43","author":"Sedmak","year":"2004","journal-title":"Appl. Opt."},{"key":"ref_34","unstructured":"Zhao, Q. (2018). Atmospheric Turbulence Measurement with Scintillation Lidar, University of Science and Technology of China."},{"key":"ref_35","unstructured":"Cheng, Z. (2017). Detection Method of Atmospheric Turbulence Profile Based on Differential Light Column Lidar, University of Science and Technology of China."}],"container-title":["Sensors"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.mdpi.com\/1424-8220\/22\/6\/2333\/pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2025,10,10]],"date-time":"2025-10-10T22:38:25Z","timestamp":1760135905000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.mdpi.com\/1424-8220\/22\/6\/2333"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2022,3,17]]},"references-count":35,"journal-issue":{"issue":"6","published-online":{"date-parts":[[2022,3]]}},"alternative-id":["s22062333"],"URL":"https:\/\/doi.org\/10.3390\/s22062333","relation":{},"ISSN":["1424-8220"],"issn-type":[{"value":"1424-8220","type":"electronic"}],"subject":[],"published":{"date-parts":[[2022,3,17]]}}}