  In this work, we study the images of a Kerr black hole (BH) immersed in
uniform magnetic fields, illuminated by the synchrotron radiation of charged
particles in the jet. We particularly focus on the spontaneously vortical
motions (SVMs) of charged particles in the jet region and investigate the
polarized images of electromagnetic radiations from the trajectories along
SVMs. We notice that there is a critical value $\omega_c$ for charged particle
released at a given initial position and subjected an outward force, and once
$|qB_0/m|=|\omega_B|>|\omega_c|$ charged particles can move along SVMs in the
jet region. We obtain the polarized images of the electromagnetic radiations
from the trajectories along SVMs. Our simplified model suggests that the SVM
radiations can act as the light source to illuminate the BH and form a photon
ring structure.
