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混浊大气介质调制传递函数参数化解析模型
Parametric analytical model of modulation transfer function in turbid atmosphere
【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%。
【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;
- 【文献出处】 大气与环境光学学报 ,Journal of Atmospheric and Environmental Optics , 编辑部邮箱 ,2025年04期
- 【分类号】O43
- 【下载频次】3