We developed a model of the radiative emission from magnetically dominated jets, and test the model against polarimetric observations of blazars. Multifrequency polarimetric observations are now available due to the advent of the Imaging X-Ray Polarimetry Explorer (IXPE) space observatory. The most important observational results are the following. The polarization degree is strongly chromatic, i.e. the X-rays are significantly more polarized than the optical radiation. The polarization angle is typically aligned with the projection of the jet axis on the plane of the sky. The IXPE collaboration interpreted these observations as an evidence that jets are matter dominated (and particles are accelerated by shocks), in tension with the leading theoretical paradigm for the launching of jets by rotating magnetized black holes, which requires that jets are magnetically dominated.
We wanted to test whether multifrequency polarimetric observations of blazars could be instead consistent with the hypothesis that jets are magnetically dominated. As a first step, we identified a suitable jet model. We assumed that the jet is magnetically dominated, axisymmetric, stationary. We determined analytical expressions for the jet electromagnetic fields, which depend on the jet shape. For cylindrical jets, the magnetic field is dominated by the poloidal component along the jet axis, whereas for parabolic and conical jets the magnetic field is dominated by the toroidal component perpendicular to the jet axis. As a second step, we populated the jet with accelerated electrons. We assumed that the distribution of the X-ray emitting electrons is softer than the distribution of the optical emitting electrons (our choice is motivated by the fact that the observed spectral energy distribution of the blazar synchrotron radiation softens for high photon energies). Finally, we calculated the polarization degree and the polarization angle of the synchrotron radiation, and compared results of our model with multifrequency polarimetric observations of blazars.