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Indirect measurement of atomic magneto-optical rotation via Hilbert transform [dataset] Open Access

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 0.6 T 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.

Descriptions

Resource type

Dataset

Contributors

Creator: Briscoe, Jack D ¹
Contact person: Briscoe, Jack D ¹
Data collector: Briscoe, Jack D ¹
Pizzey, Danielle ¹
Wrathmall, Steven A ¹
Hughes, Ifan G ¹

¹ Durham University, UK

Funder

Engineering and Physical Sciences Research Council

Research methods

Other description

Includes six Jupyter notebooks and two datasets.

Keyword

Atomic physics
Spectroscopy
Magneto-optical rotation
Hilbert transform

Subject

Atomic spectroscopy

Location

Language

Cited in

Identifier

ark:/32150/r2x920fw90c
doi:10.15128/r2x920fw90c

Rights

Creative Commons Attribution 4.0 International (CC BY)

Publisher

Durham University

Date Created

File Details

Depositor

J.D. Briscoe

Date Uploaded

1 March 2024, 11:03:34

Date Modified

1 March 2024, 12:03:32

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Audits have not yet been run on this file.

Characterization

File format: zip (ZIP Format)

Mime type: application/zip

File size: 107468871

Last modified: 2024:03:01 11:49:42+00:00

Filename: Magneto_optical_rotation_via_HT_data_availability.zip

Original checksum: 6873c7048302b16f2e898682cb2e2709