偏振辐射转移的近最佳角积分
Near optimal angular quadratures for polarised radiative transfer
摘要：
在三维（3D）辐射转移（RT）问题中，张量积求积法在辐射场的角积分的给定精度所需的离散射线方向的数目方面通常不是最优的。在本文中，我们推导出一套新的角度求积规则，更适合于解决三维RT问题的短，长特征形式求解器。这些求积比目前使用的辐射场张量的数值计算，是相关的极化辐射的产生和转移的问题，而不假设当地的热力学平衡（非LTE）的更合适。结果表明，在相同精度下，与高斯-梯形积求积法相比，新求积法可节省约30%的计算时间.
英文摘要：
In three-dimensional (3D) radiative transfer (RT) problems, the tensor product quadratures are generally not optimal in terms of the number of discrete ray directions needed for a given accuracy of the angular integration of the radiation field. In this paper, we derive a new set of angular quadrature rules that are more suitable for solving 3D RT problems with the short- and long-characteristics formal solvers. These quadratures are more suitable than the currently used ones for the numerical calculation of the radiation field tensors that are relevant in the problem of the generation and transfer of polarised radiation without assuming local thermodynamical equilibrium (non-LTE). We show that our new quadratures can save up to about 30\,\% of computing time with respect to the Gaussian-trapezoidal product quadratures with the same accuracy.
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