Plass G N, Kattawar G W
Appl Opt. 1970 May 1;9(5):1122-30. doi: 10.1364/AO.9.001122.
The polarization of the reflected and transmitted radiation is calculated for a realistic model of the earth's atmosphere at five wavelengths ranging from 0.27 micro to 1.67 micro. The single scattering matrix is calculated from the Mie theory for an aerosol size distribution appropriate for our atmosphere. The solar photons are followed through multiple collisions with the aerosols and the Rayleigh scattering centers in the atmosphere by a Monte Carlo method. The aerosol number density as well as the ratio of aerosol to Rayleigh scattering varies with height. The proportion of aerosol to Rayleigh scattering is adjusted for each wavelength; ozone absorption is included where appropriate. The polarization is presented as a function of the zenith and azimuthal angle for six values of the earth's albedo, two values of the solar zenith angle, and four values of the total aerosol concentration. In general the polarization decreases as the wavelength increases and as the total aerosol concentration increases (because of the increasing importance of aerosol scattering). In most situations the polarization is much more sensitive than the radiance to changes in the parameters which specify the atmosphere.
针对地球大气的实际模型,计算了0.27微米至1.67微米范围内五个波长处反射和透射辐射的偏振。根据米氏理论,针对适合我们大气的气溶胶粒径分布计算单次散射矩阵。通过蒙特卡罗方法追踪太阳光子在大气中与气溶胶和瑞利散射中心的多次碰撞。气溶胶数密度以及气溶胶与瑞利散射的比率随高度而变化。针对每个波长调整气溶胶与瑞利散射的比例;在适当的地方考虑臭氧吸收。给出了地球反照率的六个值、太阳天顶角的两个值和总气溶胶浓度的四个值下,偏振随天顶角和方位角的函数关系。一般来说,偏振随着波长增加和总气溶胶浓度增加而降低(由于气溶胶散射的重要性增加)。在大多数情况下,偏振比辐射亮度对指定大气的参数变化更敏感。