偏振辐射传输的插值计算以及流数对计算结果的影响

Interpolation of polarized radiative transfer and the influence of stream on the calculation

根据平面平行大气中偏振辐射传输方程的求解,利用解析插值方法实现了对其空间任意一点(任意光学厚度、任意角度)偏振辐射的计算。使用了瑞利散射以及米散射对该程序进行验证,所得结果与Coulson和Stamnes的计算结果进行了比较,误差在0.7%以内。同时还分析了流数对计算结果的影响,通过比较半球8流时米散射的最大相对误差ηmax≤1.82%,平均相对误差ηaver=1.627%;并且该计算误差随着计算流数的增加越来越小,在24流时,计算结果比较稳定,误差最大值ηmax<1%,平均相对误差ηaver=0.223%。

Based on the DISORT theory, a numerical scheme was developed to calculate the polarized radiation in plane-parallel atmosphere at arbitrary angles and optical depth by an analytical interpolation method. The scheme was tested by Rayleigh scattering and Mie scattering. In both cases, the results fitted the benchmark values given by Coulson and Stamnes with errors less than 0.7%. The influence of computing streams n on the calculated results was also analyzed. The largest related error 7/r^x was less than 1.82% when n was 8 and the average error ηmax was 1.627%. The calculating results reach to stable values when n=24, and the largest related error ηmax was less than 1% and the average error ηmax was 0.223%.