大气与环境光学学报 ›› 2025, Vol. 20 ›› Issue (4): 423-435.doi: 10.3969/j.issn.1673-6141.2025.04.001

• 大气光学 •    下一篇

混浊大气介质调制传递函数参数化解析模型

郭梦星 1,2,3, 武鹏飞 2,3*, 樊子钊 2,3,4, 饶瑞中 2,3   

  1. 1 安徽大学物质科学与信息技术研究院, 安徽 合肥 230601; 2 中国科学院大气光学重点实验室, 中国科学院合肥物质科学研究院安徽光学精密机械研究所, 安徽 合肥 230031; 3 先进激光技术安徽省实验室, 安徽 合肥 230037; 4 中国科学技术大学环境科学与光电技术学院, 安徽 合肥 230022
  • 收稿日期:2022-10-21 修回日期:2022-11-28 出版日期:2025-07-28 发布日期:2025-07-25
  • 通讯作者: Email: wupengfei@aiofm.ac.cn E-mail:wupengfei@aiofm.ac.cn
  • 作者简介:郭梦星 (1996- ), 女, 陕西西安人, 硕士研究生, 主要从事大气光学方面的研究。Email: 15229255653@163.com
  • 基金资助:
    国家重点研发计划青年科学家项目 (2022YFF1301900), 中国科学院青年创新促进会 (2022450)

Parametric analytical model of modulation transfer function in turbid atmosphere

GUO Mengxing 1,2,3, WU Pengfei 2,3*, FAN Zizhao 2,3,4, RAO Ruizhong 2,3   

  1. 1 Institutes of Physical Science and Information Technology, Anhui University, Hefei 230601, China; 2 Key Laboratory of Atmospheric Optics, Anhui Institute of Optics and Fine Mechanics, HFIPS, Chinese Academy of Sciences, Hefei 230031, China; 3 Advanced Laser Technology Laboratory of Anhui Province, Hefei 230037, China; 4 School of Environmental Science and Optoelectronic Technology, University of Science and Technology of China, Hefei 230022, China
  • Received:2022-10-21 Revised:2022-11-28 Online:2025-07-28 Published:2025-07-25
  • Contact: WU fengfei E-mail:wupengfei@aiofm.ac.cn

摘要: 调制传递函数 (MTF) 是衡量混浊大气介质影响成像质量优劣的重要指标。本文基于等效原理, 使用辐射传 输的离散坐标数值解法和线性拟合方法, 研究了混浊大气介质调制传递函数与关键大气光学参量的定量关系, 并建 立了混浊大气介质调制传递函数参数化解析模型。结果表明在光学厚度为0.1~1.0, 单次散射反照率为0.1~1.0, 不对 称因子为0.05~0.95 范围内: 1) 影响临界频率因素中光学厚度最大, 单次散射反照率次之, 不对称因子最小; 2) 影响 调制传递函数因素方面, 在低空间频率范围内, 光学厚度最大, 单次散射反照率次之, 不对称因子最小, 在高空间频 率范围内, 单次散射反照率最大, 光学厚度次之, 不对称因子最小; 3) 解析模型整体平均相对误差不超过8%, 对于较 多实际应用场景 (不对称因子 ≥ 0.7, 单次散射反照率 ≥ 0.55), 模型平均相对误差不大于5%。

关键词: 大气光学, 混浊介质中的成像, 光学传递函数, 调制传递函数, 辐射传输

Abstract: Modulation transfer function (MTF) is an important indicator to evaluate the effect of turbid atmosphere on the imaging quality of objects. Based on the equivalence principle, this paper studies the quantitative relationship between MTF and key atmospheric optical parameters by using the discrete coordinate numerical solution method of radiative transfer and the linear fitting method, and establish the parametric analytical MTF model in turbid atmosphere. The results have revealed that in the range of optical thickness 0.1–1.0, single scattering albedo 0.1–1.0, and asymmetry factor 0.05–0.95: 1) As for the factors affecting the critical frequency, optical thickness is the largest, followed by scattering albedo, and asymmetry factor is the smallest. 2) In termes of factors affecting MTF, in the low spatial frequency range, the optical thickness is the largest, followed by the single scattering albedo, and the asymmetry factor is the smallest; while in the high spatial frequency range, the single scattering albedo is the largest, followed by the optical thickness, and the asymmetry factor is the smallest. 3) The overall average relative error of the established model is less than 8%, and for many practical application scenarios (asymmetric factor ≥ 0.7, single scattering albedo ≥ 0.55), the average relative error of the model is less than 5%.

Key words: atmospheric optics, imaging through turbid media, optical transfer functions, modulation transfer function, radiative transfer

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