A Note on the Radiative and Collisional Branching Ratios in Polarized Radiation Transport with Coherent Scattering
A Note on the Radiative and Collisional Branching Ratios in Polarized Radiation Transport with Coherent Scattering
复制标题
关于相干散射偏振辐射传输中辐射和碰撞分支比的注记
DOI：
10.3847/1538-4357/835/2/114
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发表时间：
2016
期刊：
影响因子：
--
通讯作者：
R. M. Sainz
中科院分区：
文献类型：
--
作者：
R. Casini;T. D. P. Alemán;R. M. Sainz
我们讨论了在存在非弹性和弹性碰撞的情况下，CRD 和部分重新分布对极化多项原子发射率的贡献之间具有物理意义的支化比的实现。我们的推导基于部分相干散射的最新理论公式，并且依赖于对各种辐射和碰撞过程的启发式图解分析来确定分支比的正确形式。我们得到的发射率表达式为 ε = [ ε ( 1 ) − ε f 。 s。 ( 2 ) ] + ε ( 2 ) ，其中 ε ( 1 ) 和 ε ( 2 ) 分别是重新分布辐射和部分相干辐射的发射率项，并且其中“f.s.”意味着必须在假设入射辐射的平谱平均值的情况下评估相应的项。在非极化多能级原子的限制下，该结果与有关该主题的先前文献一致。
We discuss the implementation of physically meaningful branching ratios between the CRD and partial redistribution contributions to the emissivity of a polarized multi-term atom in the presence of both inelastic and elastic collisions. Our derivation is based on a recent theoretical formulation of partially coherent scattering, and it relies on a heuristic diagrammatic analysis of the various radiative and collisional processes to determine the proper form of the branching ratios. The expression we obtain for the emissivity is ε = [ ε ( 1 ) − ε f . s . ( 2 ) ] + ε ( 2 ) , where ε ( 1 ) and ε ( 2 ) are the emissivity terms for the redistributed and partially coherent radiation, respectively, and where “f.s.” implies that the corresponding term must be evaluated assuming a flat-spectrum average of the incident radiation. This result is shown to be in agreement with prior literature on the subject in the limit of the unpolarized multi-level atom.