论文标题
主方程理论应用于弱辐射场极限中极化辐射的重新分布。 vi。应用于NA I D1和D2线的第二个太阳光谱：收敛
Master equation theory applied to the redistribution of polarized radiation in the weak radiation field limit. VI. Application to the Second Solar Spectrum of the Na I D1 & D2 lines: convergence
论文作者
论文摘要
本文介绍了该系列先前论文中开发的非LTE条件下部分重新分布的自洽部分重新分布理论的数值应用。该代码在本系列的先前论文中进行了描述。但是，在以前的论文（该系列的数字IV）中，数值结果是不现实的。本文提出了一个近似值，能够恢复传出极化概况的可靠性。还证明了结果的收敛性。证明步骤增量降低了1/n^a，> 1，因此结果系列的行为就像Riemann系列，这绝对是收敛的。但是，计算出的和观察到的线性极化曲线之间的一致性仅是定性的。差异分配给平面平行大气模型，该模型不足以描述形成这些线的色球圈。由于所有积分都是代码中的数字，因此它可能适用于更现实和更高的尺寸模型氛围。但是，对于具有超细结构的线条，就像NA I D线一样，这是很耗时的。在Na I D1中观察到的净线性极化，而在KITT峰的McMath-Pierce望远镜上安装的偏光仪Zimpol并未通过当前的计算确认，并且可能是仪器极化的人工制品。对于本机的计算结果，该仪器在Na I D2线中心中观察到的较高的线性极化度可以证实仪器极化的存在，当时hanle效应在第二个太阳能光谱中充当去极化效果时。在两个线路中心中，发现观察到的线性极化过量的数量级为0.1％，这也与本实验的仪器极化补偿水平相当。
This paper presents a numerical application of a self-consistent theory of partial redistribution in non-LTE conditions, developed in previous papers of the series. The code was described in a previous paper of this series. However, in that previous paper (number IV of the series), the numerical results were unrealistic. The present paper presents an approximation, which was able to restore the reliability of the outgoing polarization profiles. The convergence of the results is also proved. It is demonstrated that the step increment decreases like 1/N^a, with a > 1, so that the results series behaves like a Riemann series, which is absolutely convergent. However, agreement between the computed and observed linear polarization profiles remains qualitative only. The discrepancy is assigned to the plane parallel atmosphere model, which is insufficient to describe the chromosphere, where these lines are formed. As all the integrals are numerical in the code, it could probably be adapted to more realistic and higher dimensioned model atmospheres. However, it is time consuming for lines having an hyperfine structure as the Na I D lines are. The net linear polarization observed in Na I D1 with the polarimeter ZIMPOL mounted on the McMath-Pierce telescope at Kitt Peak is not confirmed by the present calculations and could be an artefact of instrumental polarization. The presence of instrumental polarization could be confirmed by the higher linear polarization degree observed by this instrument in Na I D2 line center, with respect to the present calculation result, where the magnetic field is not accounted for, when the Hanle effect acts as a depolarizing effect in the Second Solar Spectrum. The observed linear polarization excess is found of the same order of magnitude 0.1% in both line centers, which is also comparable to the instrumental polarization compensation level of this experiment.
