Kavli Affiliate: Renxin Xu
| First 5 Authors: Wei-Yang Wang, Xiaohui Liu, Dongzi Li, Bing Zhang, Chen-Hui Niu
| Summary:
Frequency-dependent polarization properties provide crucial insights into the
radiation mechanisms and magnetic environments of fast radio bursts (FRBs). We
explore an analytical solution of radiative transfer of the polarization
properties of FRBs as a strong incoming wave propagates in a homogeneous
magnetized plasma. The cases of a thermal plasma is studied in detail. The
rotational axis of the polarization spectrum undergoes precession with
frequency on the Poincar’e sphere when the medium has both strong Faraday
rotation and conversion. Such precession on the Poincar’e sphere could occur
in hot or cold plasma with a strong magnetic field component perpendicular to
the line of sight. Significant absorption can exist in a dense plasma medium,
which may give rise to a highly circularly polarized outgoing wave. We apply
the analytical solution with the mixing Faraday case to fit the observations of
frequency-dependent Stokes parameters for FRB 20180301A and FRB 20201124A. The
analytical solution offers a more physical description of FRBs’ magnetic
environment properties than the empirical “generalized Faraday rotation”
method commonly adopted in the literature. The frequency-dependent Stokes
parameters may be associated with reversing rotation measures or the presence
of a persistent radio source around an FRB.
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