发表机构
NSF NCAR, HAO（美国国家科学基金会NCAR，高海拔观测台）
机构由 AI 辅助整理，请以论文原文为准。AI 中文总结
本文推导了偏振观测中磁推断误差的解析估计，量化了噪声及仪器条件对磁场测量精度的影响，并验证了积分矩与导数方法的等价性。
AI 中文摘要
我们旨在推导磁推断误差的便捷解析估计，这些估计可用于告知并促进偏振仪器科学可追溯性矩阵的创建。为此，我们研究了偏振光信号中的泊松噪声传播到斯托克斯轮廓导出数据产品（即任意阶积分矩和强度的谱导数）的一般问题。特别地，我们推导了从塞曼效应的弱场近似（WFA）推断的磁场纵向和横向投影的误差。磁推断上的传播误差可追溯到观测的信噪比（SNR）。这些结果可用于量化不同环境和仪器条件（谱线宽度、光谱分辨率、线扩展函数、杂散光）对推断量总体误差的贡献。我们的测试表明，积分矩推断方法在可预测的方式上与局部导数方法相当。
英文摘要
We aim to derive convenient analytic estimations of magnetic inference errors, which can be used to inform and facilitate the creation of the science-traceability matrix of a polarimetric instrument. In order to do this, we study the general problem of the propagation of Poissonian noise in polarized light signals to derived data products of the Stokes profiles, namely integral moments of arbitrary orders and spectral derivatives of the intensity. In particular, we derive the errors on the longitudinal and transversal projections of the magnetic field inferred from the weak-field approximation (WFA) of the Zeeman effect. The propagated errors on magnetic inference are traced back to the signal- to-noise ratio (SNR) of the observations. The results can be used to quantify the contributions of different environmental and instrumental conditions (spectral line width, spectral resolution, line spread function, stray light) to the overall error on the inferred quantities. Our tests indicate that the integral-moment method of inference is comparable to the local derivative in a predictable way.
Comments14 pages, 6 figures
