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Covariant polarized radiative transfer on cosmological scales for investigating large-scale magnetic field structures

Chan, JYH; Wu, K; On, AYL; Barnes, DJ; McEwen, JD; Kitching, TD; (2019) Covariant polarized radiative transfer on cosmological scales for investigating large-scale magnetic field structures. Monthly Notices of the Royal Astronomical Society , 484 (2) pp. 1427-1455. 10.1093/mnras/sty3498. Green open access

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Abstract

Polarization of radiation is a powerful tool to study cosmic magnetism and analysis of polarization can be used as a diagnostic tool for large-scale structures. In this work, we present a solid theoretical foundation for using polarized light to investigate large-scale magnetic field structures: the cosmological polarized radiative transfer (CPRT) formulation. The CPRT formulation is fully covariant. It accounts for cosmological and relativistic effects in a self-consistent manner and explicitly treats Faraday rotation, as well as Faraday conversion, emission, and absorption processes. The formulation is derived from the first principles of conservation of phase–space volume and photon number. Without loss of generality, we consider a flat Friedmann–Robertson–Walker (FRW) space–time metric and construct the corresponding polarized radiative transfer equations. We propose an all-sky CPRT calculation algorithm, based on a ray-tracing method, which allows cosmological simulation results to be incorporated and, thereby, model templates of polarization maps to be constructed. Such maps will be crucial in our interpretation of polarized data, such as those to be collected by the Square Kilometer Array (SKA). We describe several tests which are used for verifying the code and demonstrate applications in the study of the polarization signatures in different distributions of electron number density and magnetic fields. We present a pencil-beam CPRT calculation and an all-sky calculation, using a simulated galaxy cluster or a model magnetized universe obtained from GCMHD+ simulations as the respective input structures. The implications on large-scale magnetic field studies are discussed; remarks on the standard methods using rotation measure are highlighted.

Type: Article
Title: Covariant polarized radiative transfer on cosmological scales for investigating large-scale magnetic field structures
Open access status: An open access version is available from UCL Discovery
DOI: 10.1093/mnras/sty3498
Publisher version: https://doi.org/10.1093/mnras/sty3498
Language: English
Additional information: This version is the version of record. For information on re-use, please refer to the publisher’s terms and conditions.
Keywords: magnetic fields – polarization – radiation mechanisms: non-thermal – radiation mechanisms: thermal – radiative transfer – large-scale structure of Universe.
UCL classification: UCL
UCL > Provost and Vice Provost Offices > UCL BEAMS
UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Maths and Physical Sciences
UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Maths and Physical Sciences > Dept of Space and Climate Physics
URI: https://discovery.ucl.ac.uk/id/eprint/10066754
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