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《Chinese Journal of Atmospheric Sciences》 1986-03
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AN IMPROVED ALGORITHM FOR SOLVING RADIATIVE TRANSFER EQUATION

Qiu Jinhuan (Institute of Atmospheric Physics, Academia Sinica)  
In this paper, the effect of Legendre expansion of scattering phase function with a finite number of terms on solving radiative transfer equation is studied and an improved algorithm suggested.Both theoretical analysis and numerical experiments have shown that the multiple-scattering component of radiance and radiative flux are not much more sensitive to the expansion error of phase function than the single-scattering component, and through correcting the single-scattering component by the exact phase function, an accurate radiance solution can be obtained under Legendre expansion of phase function with less terms, thus the computing time can be down by a factor of about 5 for the optical depth less than unity.
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1 Yuesi Wang1, Jinyuan Xin1*, Zhanqing Li2, Shigong Wang3, Pucai Wang1, Wei Min Hao4, Bryce L. Nordgren4, Hongbin Chen1, Lili Wang1, and Yang Sun1 [1]{LAPC, Institute of Atmospheric Physics, Chinese Academy of Sciences, Beijing 100029, P.R.China} [2]{Department of Meteorology, The University of Maryland, College Park, MD 20782, USA} [3]{College of Atmospheric Science, Lanzhou University, Lanzhou 730000, P.R.China} [4]{USDA Forest Service, Fire Sciences Laboratory, Missoula, MT 59808, USA};Seasonal variations in aerosol optical properties over China[A];[C];2008
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