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Discussion on applicability of Rayleigh optical depth model and its conditional construction

  • role： First author第一作者
  • Affiliation：

    National-Local Joint Engineering Laboratory of Geo-Spatial information Technology in the Hunan University of Science and Technology, Xiangtan 411201, China

  • Email：leung@lzb.ac.cn
  • Introduction：梁继，1976年生，女，副教授，研究方向为冰冻圈遥感、辐射传输理论与数值计算模型。E-mail：leung@lzb.ac.cn
Ji LIANG1,  
  • Affiliation：

    Cold and Arid Regions Environmental and Engineering Research Institute, Chinese Academy of Sciences, Lanzhou 730000, China

Jian WANG2,  
  • Affiliation：

    Cold and Arid Regions Environmental and Engineering Research Institute, Chinese Academy of Sciences, Lanzhou 730000, China

Junlei TAN2,  
  • Affiliation：

    Cold and Arid Regions Environmental and Engineering Research Institute, Chinese Academy of Sciences, Lanzhou 730000, China

Hongxing LI2,  
  • Affiliation：

    Institute of Desert Meteorology, China Meteorological Administration, Urumqi 830002, China

Yan LIU3,  
  • Affiliation：

    National-Local Joint Engineering Laboratory of Geo-Spatial information Technology in the Hunan University of Science and Technology, Xiangtan 411201, China

Shiting XIA1

resumen

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 CO2 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 CO2 concentration in the approximate numerical model. Second, although the theoretical discrete model has a clear physical meaning and self-adaptability to the CO2 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 CO2 concentration, we first simulated ROD under specific atmospheric conditions (P0=1 atm, T=15 ℃, CO2=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 CO2 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 CO2 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.

palabra clave

Rayleigh optical depth;scattering cross section;refractive index of air;carbon dioxide concentrations

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