Recalculation of the isotropic H functions
Recalculation of the isotropic H functions
复制标题
重新计算各向同性 H 函数
DOI：
10.1006/icar.1994.1096
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发表时间：
1994
期刊：
影响因子：
3.2
通讯作者：
T. Hiroi
中科院分区：
文献类型：
--
作者：
T. Hiroi
摘要 Chandrasekhar 在辐射传输理论中定义的各向同性 H 函数（辐射传输，多佛，纽约，1960）已针对大量单散射反照率 ( w ) 值进行了数值重新计算。获得的H函数至少应精确到小数点后五位。当 w 接近 1 时，H 函数值变得高度非线性，其中执行计算的点比 Chandrasekhar (1960) 中的点多得多。 Chandrasekhar 的 H 函数表的简单线性插值可能导致 H 函数值出现高达 8% 的误差，而 H 2 值出现高达 16% 的误差，这些误差出现在多个散射项中，例如 Hapke (J. Geophys. Res. 86, 3039-3054, 1981)。另一方面，Hapke 近似（J. Geophys. Res. 86, 3039-3054, 1981；反射率和发射光谱理论，剑桥大学出版社，纽约，1993）给出的 H 值分别在 4.1% 和 0.8% 误差范围内。
Abstract The isotropic H functions defined in radiative transfer theory by Chandrasekhar ( Radiative Transfer , Dover, New York, 1960) have been numerically recalculated for a larger number of single scattering albedo ( w ) values. The obtained H functions should be accurate to five decimal places at least. The H function values become highly nonlinear as w approaches 1, where calculations were performed with many more points than in Chandrasekhar (1960). A simple linear interpolation of Chandrasekhar's H function table could result in as much as 8% error in the H function values and 16% in the H 2 values that appear in multiple scattering terms such as in Hapke ( J. Geophys. Res. 86, 3039-3054, 1981). On the other hand, Hapke's approximations ( J. Geophys. Res. 86, 3039-3054, 1981; Theory of Reflectance and Emittance Spectroscopy , Cambridge Univ. Press, New York, 1993) give H values within 4.1% and 0.8% error, respectively.