This study presents an approximative approach to solve the radiative transfer equation accounting for the rotational Raman scattering in a spherical atmosphere. The solution is obtained employing the method of characteristics in combination with the discrete-ordinates technique and the forward-adjoint perturbation theory. For a non-limb observational geometry, impact of the atmospheric sphericity on the filling-in of solar Fraunhofer lines is discussed. For a limb viewing geometry, the dependence of the filling-in on the surface elevation, surface albedo, and cloudiness below the instrument line of sight as well as the effect of the multiple scattering in the spatial domain is analyzed. A comparison of modeled and measured Ring spectra for a limb-viewing geometry is shown. The considered solution technique is implemented in the radiative transfer model SCIATRAN and is ready to use for atmospheric applications.

这项研究提出了一种近似方法来解决考虑球形大气中旋转拉曼散射的辐射传递方程。该解决方案是采用特征方法结合离散坐标技术和前向伴随摄动理论获得的。对于非肢体观测几何，讨论了大气球形度对太阳Fraunhofer线的填充的影响。对于肢体观察几何，分析了填充物对仪器视线以下的表面高程，表面反照率和混浊的依赖性以及空间域中多次散射的影响。显示了对肢体观察几何模型的建模和测量的Ring光谱的比较。