光学学报, 2017, 37 (2): 0229002, 网络出版: 2017-02-13   

辐射传输计算中散射相函数截断近似方法对比分析

Comparison and Analysis of Scattering Phase-Function Truncation Approximations in Radiative Transfer Calculation
罗双 1,2尹球 1,2
作者单位
1 上海市气象局, 上海 200030
2 中国气象局气象卫星用户办公室, 上海 200030
摘要
基于成熟的相函数近似方法Delta-M和Delta-fit,解释了结合相函数矩不变要求和特定角度范围误差最小化要求这一组合方案Delta-combine的物理含义,并分析了不同要求衔接点位置对散射强度的影响。在此基础上,以Cloud和Haze散射相函数为例,对Delta-M、Delta-fit和Delta-combine近似方法计算辐射强度和辐照度的效果进行对比,进而统计分析了三种相函数近似方法在不同光学厚度情况下的适用性。结果表明,随着组合衔接点的后移,Delta-combine方法强度绝对误差均方根(RMS)减小,相对误差RMS先减小后增大;Delta-M、Delta-fit和Delta-combine,三种方案均能够保证能量平衡;对不同光学厚度,Delta-M和Delta-combine方法计算的强度绝对误差RMS比Delta-fit小;对于相对误差,当光学厚度较小时,Delta-fit效果较好,随着光学厚度增大,Delta-combine方法最优。
Abstract
On the basis of the sophisticated phase-function approximation methods Delta-M and Delta-fit, the physical meaning of a combination approximation method Delta-combine is explained, combining the requirement of moment preserving of phase function and minimizing approximation errors within a specific scattering angle range. And the influence of the connecting point position for different requirements on the scattering intensity is analyzed. On this basis, taking Cloud and Haze scattering phase functions for examples, the radiation intensity and irradiance calculated by Delta-M, Delta-fit, and Delta-combine approximation methods are compared. The applicability of the three phase function approximation methods is statistically analyzed by these methodologies under different optical thicknesses. The results show that, as the connecting point moves backward, the root mean square (RMS) of absolute error of the intensity obtained by the Delta-combine method decreases, and the RMS of relative error of the intensity decreases first and then increases. The three approximation methods are all able to guarantee the energy balance. The RMSs of absolute error produced by Delta-M and Delta-combine are smaller than that of Delta-fit under different optical thicknesses. From the aspect of relative error, Delta-fit does well when the optical thickness is small, and the Delta-combine is best when the optical thickness increases.

罗双, 尹球. 辐射传输计算中散射相函数截断近似方法对比分析[J]. 光学学报, 2017, 37(2): 0229002. Luo Shuang, Yin Qiu. Comparison and Analysis of Scattering Phase-Function Truncation Approximations in Radiative Transfer Calculation[J]. Acta Optica Sinica, 2017, 37(2): 0229002.

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