在存在磁场时J态干涉的极化线形成:碰撞频率再分布的启发式处理
Polarized line formation with J-state interference in the presence of magnetic fields: A heuristic treatment of collisional frequency redistribution
摘要:
本文导出了包含精细结构谱线间J态干涉的二项原子谱线散射的部分频率重分布矩阵的表达式。碰撞(弹性和非弹性)和外部磁场的散射过程的影响被考虑在内。较低的一项被假定为非极化和无限尖锐。线性塞曼制度中的塞曼分裂是远远小于精细结构分裂被认为是。在我们的处理中包括了不同层次之间的非弹性碰撞率。我们考虑了高阶精细结构态之间的碰撞耦合引起的退偏振,而忽略了精细结构态之间的偏振转移。当精细结构分裂为零时,我们恢复了代表二能级原子(仅表现出m态干涉--即Hanle效应)上散射的再分布矩阵。讨论了散射原子的多极指数通过碰撞分支比进入再分布矩阵表达式的方式。重新分配矩阵的属性进行了探索,为一个L=0到1到0的散射过渡与S=1/2(一个假设的双峰中心在5000和5001)的单散射过程。此外,一种方法求解Hanle辐射转移方程的两项原子存在的碰撞,PRD,和J-态干涉。本文计算了等温常物性介质中的Stokes剖面。
英文摘要:
An expression for the partial frequency redistribution (PRD) matrix for line scattering in a two-term atom, which includes the J-state interference between its fine structure line components is derived. The influence of collisions (both elastic and inelastic) and an external magnetic field on the scattering process is taken into account. The lower term is assumed to be unpolarized and infinitely sharp. The linear Zeeman regime in which the Zeeman splitting is much smaller than the fine structure splitting is considered. The inelastic collision rates between the different levels are included in our treatment. We account for the depolarization caused by the collisions coupling the fine structure states of the upper term, but neglect the polarization transfer between the fine structure states. When the fine structure splitting goes to zero, we recover the redistribution matrix that represents the scattering on a two-level atom (which exhibits only m-state interference --- namely the Hanle effect). The way in which the multipolar index of the scattering atom enters into the expression for the redistribution matrix through the collisional branching ratios is discussed. The properties of the redistribution matrix are explored for a single scattering process for an L=0 to 1 to 0 scattering transition with S=1/2 (a hypothetical doublet centered at 5000 A and 5001 A). Further, a method for solving the Hanle radiative transfer equation for a two-term atom in the presence of collisions, PRD, and J-state interference is developed. The Stokes profiles emerging from an isothermal constant property medium are computed.
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