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Physically based parameterizations of the short-wave radiative characteristics of weakly absorbing optically thick media: application to liquid-water clouds

机译：弱吸收光学厚介质的短波辐射特性的基于物理的参数化：在液态水云中的应用

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摘要

We propose the physically based parameterization of the radiative characteristics of liquid-water clouds as functions of the wavelength, effective radius, and refractive index of particles, liquid-water path, ground albedo, and solar and observation angles. The formulas obtained are based on the approximate analytical solutions of the radiative transfer equation for optically thick, weakly absorbing layers and the geometrical optics approximation for local optical characteristics of cloud media. The accuracy of the approximate formulas was studied with an exact radiative transfer code. The relative error of the approximate formula for the reflection function at nadir observations was less then 15% for an optical thickness larger than 10 and a single-scattering albedo larger than 0.95. (C) 1998 Optical Society of America. [References: 24]
机译：我们提出了基于物理的液态水云辐射特性的参数化，该参数化是波长，有效半径和粒子折射率，液态水路径，地面反照率以及太阳角和观测角的函数。所获得的公式基于对光学厚度较弱的吸收层的辐射传递方程的近似解析解，以及对云介质局部光学特性的几何光学近似。用精确的辐射传递码研究了近似公式的准确性。对于光学厚度大于10且单散射反照率大于0.95的天底观测值，反射函数的近似公式的相对误差小于15％。 （C）1998年美国眼镜学会。 [参考：24]

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