The Two-Stream Approximation in Radiative Transfer: Including the Angle of the Incident Radiation
The Two-Stream Approximation in Radiative Transfer: Including the Angle of the Incident Radiation
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DOI：
10.1175/1520-0469(1975)032
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发表时间：
1975-02
影响因子：
3.1
通讯作者：
J. Coakley;P. Chylek
中科院分区：
文献类型：
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作者：
J. Coakley;P. Chylek
本文将双流近似应用于辐射传输方程，得到了辐射通过光学薄平行平面大气传输的双流模型。该模型包括反射和大气的透射对入射辐射的角度和介质的散射相函数的角度依赖性的依赖性。这两种模型产生于处理入射辐射的不同方法。结果表明，在大气光学厚度接近于零的极限下，这些模式退化为薄大气近似。在此极限下，导出了在反射表面上存在散射和吸收层所引起的加热的符号。这揭示了天顶角和散射相函数的角度依赖性的重要性。从双流模型得到的结果进行了比较与辐射传输方程的数值解。我...
Abstract The two-stream approximation has been applied to the equation of radiative transfer to obtain two–stream models for the transfer of radiation through an optically thin plane-parallel atmosphere. The models include the dependence of the reflection and the transmission of the atmosphere on the angle of the incident radiation and on the angular dependence of the scattering phase function of the medium. The two models arise from different methods for treating the incident radiation. It is shown that the models reduce to the thin-atmosphere approximation in the limit that the optical depth of the atmosphere approaches zero. In this limit the sign of the heating caused by the presence of a scattering and absorbing layer over a reflecting surface is derived. This reveals the importance of both the zenith angle and the angular dependence of the scattering phase function. The results obtained from the two-stream models are compared with those of numerical solutions to the equation of radiative transfer. I...