New Treatment of Strongly Anisotropic Scattering Phase Functions: The Delta-M+ Method

Zhenyi Lin, Nan Chen, Yongzhen Fan, Wei Li, Knut Stamnes, Snorre Stamnes
2018 Journal of the Atmospheric Sciences  
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
more » ... yond the first M 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.
doi:10.1175/jas-d-17-0233.1 pmid:33867576 pmcid:PMC8051203 fatcat:g65ctzk2bfd2tbosfzhhumj5my