通过希尔伯特变换间接测量原子磁光旋转

IF 1.5 4区 物理与天体物理 Q3 OPTICS
Jack D Briscoe, Danielle Pizzey, Steven A Wrathmall and Ifan G Hughes
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引用次数: 0

摘要

克拉默-克罗尼格关系是线性光学和原子物理学的重要基础,它嵌入了任何因果响应函数的实部和虚部之间的物理联系。一种数学上等价但更简单的方法是利用希尔伯特变换。在之前的一项研究中,希尔伯特变换被应用于吸收光谱,以推断原子介质在无外加磁场情况下的唯一折射率。磁场的存在会使介质产生双折射和二色性,因此介质具有两种折射率。在这项研究中,我们采用相同的希尔伯特变换技术,独立测量双折射原子介质的两个折射率,从而间接测量原子磁光旋转。这种测量方法的关键在于,向原子介质输入特定的光偏振会引起只与其中一个折射率相关的吸收。我们的研究表明,在两种构型(文献中通常称为法拉第几何构型和沃伊特几何构型)中这一点是正确的,这两种构型因磁场相对于光波矢量的方向不同而不同。在这两种情况下,我们分别测量了磁场中铷原子热蒸汽的两个折射率,结果与理论非常吻合。这项研究进一步强调了希尔伯特变换在线性体系中量子光学和原子光学领域的应用。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
Indirect measurement of atomic magneto-optical rotation via Hilbert transform
The Kramers–Kronig relations are a pivotal foundation of linear optics and atomic physics, embedding a physical connection between the real and imaginary components of any causal response function. A mathematically equivalent, but simpler, approach instead utilises the Hilbert transform. In a previous study, the Hilbert transform was applied to absorption spectra in order to infer the sole refractive index of an atomic medium in the absence of an external magnetic field. The presence of a magnetic field causes the medium to become birefringent and dichroic, and therefore it is instead characterised by two refractive indices. In this study, we apply the same Hilbert transform technique to independently measure both refractive indices of a birefringent atomic medium, leading to an indirect measurement of atomic magneto-optical rotation. Key to this measurement is the insight that inputting specific light polarisations into an atomic medium induces absorption associated with only one of the refractive indices. We show this is true in two configurations, commonly referred to in literature as the Faraday and Voigt geometries, which differ by the magnetic field orientation with respect to the light wavevector. For both cases, we measure the two refractive indices independently for a Rb thermal vapour in a magnetic field, finding excellent agreement with theory. This study further emphasises the application of the Hilbert transform to the field of quantum and atomic optics in the linear regime.
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来源期刊
CiteScore
3.60
自引率
6.20%
发文量
182
审稿时长
2.8 months
期刊介绍: Published twice-monthly (24 issues per year), Journal of Physics B: Atomic, Molecular and Optical Physics covers the study of atoms, ions, molecules and clusters, and their structure and interactions with particles, photons or fields. The journal also publishes articles dealing with those aspects of spectroscopy, quantum optics and non-linear optics, laser physics, astrophysics, plasma physics, chemical physics, optical cooling and trapping and other investigations where the objects of study are the elementary atomic, ionic or molecular properties of processes.
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