一种用于精密测量的磁约翰逊噪声实用计算方法
A practical approach to calculating magnetic Johnson noise for precision measurements
AI总结：
本研究提出将涨落耗散定理与有限元分析工具结合的方法，可计算任意几何形状、磁导率导体的热磁噪声，适用范围覆盖单点及多种形状的磁场探测器，是目前最全面的热磁噪声计算方法之一。
摘要：
磁约翰逊噪声是许多涉及精密磁测量的应用中需要重点考虑的因素，且随着未来测量灵敏度的提升，其重要性只会进一步增加。在某些特定场景下，可利用涨落耗散定理推导磁约翰逊噪声的解析表达式。但当该定理与有限元分析工具结合使用时，这套组合方法的功能尤为强大，因为它提供了一种实用手段，可计算任意几何形状、任意磁导率的导体产生的磁约翰逊噪声。本文证明，该方法是目前可用于计算热磁噪声的最全面的方法之一。具体而言，研究表明其适用范围不仅限于空间单点处的噪声评估，还可扩展至磁场探测器具有更通用形状的场景，例如有限尺寸环路、梯度计，或是由囚禁在一定体积内的极化原子物种构成的探测器。此外，本文还讨论了通过使用该方法开展研究获得的一些物理学洞见。
英文摘要：
Magnetic Johnson noise is an important consideration for many applications involving precision magnetometry, and its significance will only increase in the future with improvements in measurement sensitivity. The fluctuation-dissipation theorem can be utilized to derive analytic expressions for magnetic Johnson noise in certain situations. But when used in conjunction with finite element analysis tools, the combined approach is particularly powerful as it provides a practical means to calculate the magnetic Johnson noise arising from conductors of arbitrary geometry and permeability. In this paper, we demonstrate this method to be one of the most comprehensive approaches presently available to calculate thermal magnetic noise. In particular, its applicability is shown to not be limited to cases where the noise is evaluated at a point in space but also can be expanded to include cases where the magnetic field detector has a more general shape, such as a finite size loop, a gradiometer, or a detector that consists of a polarized atomic species trapped in a volume. Furthermore, some physics insights gained through studies made using this method are discussed
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