Galactic Faraday rotation effect on polarization of 21 cm lines from the epoch of reionization
Soma De, Hiroyuki Tashiro

TL;DR
Galactic Faraday rotation significantly affects the polarization signals of 21 cm radiation from the epoch of reionization, posing challenges for detection with current data but potentially solvable with future surveys.
Contribution
This study quantifies the impact of Galactic Faraday rotation on 21 cm polarization signals and assesses the feasibility of recovering the original E-mode polarization.
Findings
Current RM data are insufficient to recover the initial polarization signal.
A 99% accuracy in rotation measure data is required for signal recovery.
Future radio surveys may enable detection of the original polarization signals.
Abstract
Redshifted 21 cm signal from neutral hydrogen is one of the most competitive probes of the epoch of reionization (EoR). Unpolarized 21 cm radiation acquires a certain level of linear polarization during the EoR due to Thompson scattering. This linear polarization, if measured, could probe important information about the EoR. We study the effect of Galactic Faraday rotation (FR) in the detection of polarization of 21 cm radiation. Since the effect of FR is strong due to the large wavelength nature of redshifted 21 cm signal, the initial E-mode signal carried by 21 cm photons is modified in its entirety. We show that a 99 % accuracy on rotation measure (RM) data is necessary to recover the initial E-mode signal. We conclude that, given the current status of RM observations, it is not possible to retrieve the initial polarization signal of 21 cm from the EoR. However, we are optimistic…
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