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Linear and circular polarizations of gamma-ray bursts (GRBs) have beendetected during recent years. We adopt a simplified model to investigate GRBpolarization characteristics in this paper. A compressed two-dimensionalturbulent slab containing stochastic magnetic fields is considered, and jitterradiation can produce the linear polarization under this special magnetic fieldtopology. Turbulent Faraday rotation measure (RM) of this slab makes strongwavelength-dependent depolarization. The jitter photons can also scatter withthose magnetic clumps inside the turbulent slab, and a nonzero variance of theStokes parameter $V$ can be generated. Furthermore, the linearly and circularlypolarized photons in the optical and radio bands may suffer heavy absorptionsfrom the slab. Thus we consider the polarized jitter radiation transferprocesses. Finally, we compare our model results with the optical detections ofGRB 091018, GRB 121024A, and GRB 131030A. We suggest simultaneous observationsof GRB multi-wavelength polarization in the future.

Linear Polarization, Circular Polarization, and Depolarization of Gamma-ray Bursts: A Simple Case of Jitter Radiation