Optimum Frequency of Faraday Tomography to Explore the Inter-Galactic Magnetic Field in Filaments of Galaxies
Takuya Akahori, Shinsuke Ideguchi, Takahiro Aoki, Kazuhiro Takefuji,, Hideki Ujihara, and Keitaro Takahashi

TL;DR
This study determines the optimal frequency coverage for Faraday tomography to effectively explore intergalactic magnetic fields in galaxy filaments, emphasizing the importance of multiple narrowband observations over a broad ultra-high frequency range.
Contribution
It identifies the optimal frequency ranges for Faraday tomography to constrain intergalactic magnetic fields, considering the Faraday thickness of the Milky Way foreground.
Findings
Optimal frequencies are scattered over 300 MHz to 3000 MHz.
Multiple narrowband observations improve constraints on IGMF RM.
Results apply across various background source brightness levels, including FRBs.
Abstract
Faraday tomography is thought to be a powerful tool to explore cosmic magnetic field. Broadband radio polarimetric data is essential to ensure the quality of Faraday tomography, but such data is not easy to obtain because of radio frequency interferences (RFIs). In this paper, we investigate optimum frequency coverage of Faraday tomography so as to explore Faraday rotation measure (RM) due to the intergalactic magnetic field (IGMF) in filaments of galaxies. We adopt a simple model of the IGMF and estimate confidence intervals of the model parameters using the Fisher information matrix. We find that meaningful constraints for RM due to the IGMF are available with data at multiple narrowbands which are scattered over the ultra-high frequency (UHF, 300 MHz - 3000 MHz). The optimum frequency depends on the Faraday thickness of the Milky Way foreground. These results are obtained for a wide…
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