相干散射下偏振辐射输运中辐射和碰撞分支比的注记
A Note on the Radiative and Collisional Branching Ratios in Polarized Radiation Transport with Coherent Scattering
摘要：
我们讨论了在非弹性碰撞和弹性碰撞的存在下，CRD和PRD对极化多项原子发射率的贡献之间有物理意义的分支比的实现。我们的推导是基于最近的部分相干散射的理论公式，它依赖于各种辐射和碰撞过程的启发式图解分析，以确定适当形式的分支比。我们得到的发射率表达式是$\varepsilon=\left[\varepsilon^{\tiny (1)}-\varepsilon^{\tiny (2)}_{\rm f.s.} \right]+\varepsilon^{\tiny (2)}$，其中$\varepsilon^{\tiny (1)}$和$\varepsilon^{\tiny (2)}$分别是重新分布和部分相干辐射的发射率项，并且其中“f.s.“意味着必须假设入射辐射的平谱平均值来评估相应的项。
英文摘要：
We discuss the implementation of physically meaningful branching ratios between the CRD and PRD 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 $\varepsilon=\left[\varepsilon^{\tiny (1)}-\varepsilon^{\tiny (2)}_{\rm f.s.} \right]+\varepsilon^{\tiny (2)}$, where $\varepsilon^{\tiny (1)}$ and $\varepsilon^{\tiny (2)}$ 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.
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