强各向异性散射相函数的新处理方法：Delta-M+ 方法。
New treatment of strongly anisotropic scattering phase functions: The Delta-M+ method.
作者信息
Lin Zhenyi, Chen Nan, Fan Yongzhen, Li Wei, Stamnes Knut, Stamnes Snorre
机构信息
Department of Physics & Engineering Physics, Stevens Institute of Technology, Hoboken, NJ, USA.
NASA Langley Research Center, Hampton, VA, USA.
出版信息
J Atmos Sci. 2018 Jan;75(1):327-336. doi: 10.1175/JAS-D-17-0233.1. Epub 2018 Jan 1.
The treatment of strongly anisotropic scattering phase functions is still a challenge for accurate radiance computations. The new Delta-M+ method resolves this problem by introducing a reliable, fast, accurate, and easy-to-use Legendre expansion of the scattering phase function with modified moments. Delta-M+ is an upgrade of the widely-used Delta-M method that truncates the forward scattering peak with a Dirac delta function, where the '+' symbol indicates that it essentially matches moments beyond the first terms. Compared with the original Delta-M method, Delta-M+ has the same computational efficiency, but for radiance computations the accuracy and stability have been increased dramatically.
对于精确的辐射亮度计算而言，处理强各向异性散射相函数仍是一项挑战。新的Delta-M+方法通过引入一种可靠、快速、准确且易于使用的、具有修正矩的散射相函数勒让德展开式来解决这一问题。Delta-M+是广泛使用的Delta-M方法的升级版，Delta-M方法用狄拉克δ函数截断前向散射峰，其中“+”符号表示它本质上匹配了首项之外的矩。与原始的Delta-M方法相比，Delta-M+具有相同的计算效率，但在辐射亮度计算方面，精度和稳定性有了显著提高。
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