  Linear and circular polarizations of gamma-ray bursts (GRBs) have been
detected during recent years. We adopt a simplified model to investigate GRB
polarization characteristics in this paper. A compressed two-dimensional
turbulent slab containing stochastic magnetic fields is considered, and jitter
radiation can produce the linear polarization under this special magnetic field
topology. Turbulent Faraday rotation measure (RM) of this slab makes strong
wavelength-dependent depolarization. The jitter photons can also scatter with
those magnetic clumps inside the turbulent slab, and a nonzero variance of the
Stokes parameter $V$ can be generated. Furthermore, the linearly and circularly
polarized photons in the optical and radio bands may suffer heavy absorptions
from the slab. Thus we consider the polarized jitter radiation transfer
processes. Finally, we compare our model results with the optical detections of
GRB 091018, GRB 121024A, and GRB 131030A. We suggest simultaneous observations
of GRB multi-wavelength polarization in the future.
