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Published： 2019-5 ，
Accepted： 16 December 2018
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梁继, 王建, 谭俊磊, 李红星, 刘艳, 夏诗婷. 2019. 瑞利光学厚度模型的适用性讨论与条件性构建. 遥感学报, 23(3): 476–486
Liang J, Wang J, Tan J L, Li H X, Liu Y and Xia S T. 2019. Discussion on applicability of Rayleigh optical depth model and its conditional construction. Journal of Remote Sensing, 23(3): 476–486
瑞利散射是生活中重要而又常见的自然现象之一，瑞利光学厚度是衡量瑞利散射强度的重要指标。通过对大气散射理论和瑞利光学厚度理论的梳理，总结了现有瑞利光学厚度两类模拟模型的优缺点。随着全球气候变化中CO
2
浓度已突破400 ppm，近似数值模型因受到大气温度和CO
2
浓度为300 ppm的背景条件的限制会导致部分模型误差的增加；而理论离散模型虽然有明确的物理意义，对CO
2
浓度也具有自适应性，模拟结果理论上可信可靠，但各相关输入物理参数求解复杂。为获得满足CO
2
浓度为400 ppm的近似数值模型，通过对不同高度和纬度的九个试验地点，以理论离散模型为基础，模拟特定大气条件下(
P
0
=1 atm
T
=15 ℃
CO
2
=400 ppm)的瑞利光学厚度。通过拟合分析得出，瑞利散射强度与波长的4.529次方成反比，且在紫外—蓝波段CO
2
浓度对瑞利光学厚度的贡献在10
–4
—10
–3
数量级。因此，在CO
2
浓度发生改变的情况下，以理论离散模型为主要算法模拟瑞利光学厚度将能更好的提高模型的自适应性并减少模型本身带来的误差；并通过该模拟结果可进一步获得该大气条件下的计算简单方便的数值模拟模型。
Rayleigh scattering is one of the most important and common natural phenomena in life. Moreover
Rayleigh optical depth (ROD) is a significant index for measuring Rayleigh scattering intensity. By combining the theories of atmospheric scattering and ROD
we summarize in this paper the advantages and disadvantages of existing ROD simulation models. We find that
first
given that the CO
2
concentration in global climate change has exceeded 400 ppm
some modeling errors will arise due to the parametric limitations of the atmospheric temperature and the background conditions of 300 ppm CO
2
concentration in the approximate numerical model. Second
although the theoretical discrete model has a clear physical meaning and self-adaptability to the CO
2
concentration index
and presuming that the simulation results are reliable in theory
deriving the solutions of various relevant input physical parameters is complicated. In obtaining an approximate numerical model with 400 ppm CO
2
concentration
we first simulated ROD under specific atmospheric conditions (
P
0
=1 atm
T
=15 ℃
CO
2
=400 ppm) based on a theoretical discrete model for nine test sites with different heights and latitudes. Then
we analyzed and fitted the ROD as a function of wavelength and altitude. The Rayleigh scattering intensity was set to be inversely proportional to the square of 4.529 times of the wavelength. Furthermore
the contribution of CO
2
concentration in the ultraviolet-blue band to Rayleigh optical depth was in the order of 10
–4
to 10
–3
. In the case of changing CO
2
concentrations
we suggest that the theoretical discrete model be used as the main algorithm to simulate ROD. In this manner
the adaptability of the model can be improved and the errors resulting from the modeling itself can be reduced. Furthermore
on the basis of the simulation results
a simple and convenient numerical simulation model for atmospheric conditions can be obtained.
瑞利光学厚度瑞利散射截面大气折射指数CO2浓度
Rayleigh optical depthscattering cross sectionrefractive index of aircarbon dioxide concentrations
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