The polarimetric dehazing methods have been proven effective in enhancing the quality of images acquired in turbid media, including in hazy weather conditions. However, traditional polarimetric dehazing methods are all based on a hypothesis that the airlight only performs linear polarization property. The circular polarization effect is usually ignored although it may be an essential component of the airlight. In this paper, we report a new polarimetirc dehazing method considering the full polarization effects of the airlight (the linear and circular polarization effects of the airlight). In addition, an effective dehazing method only using the circular polarization effect of the airlight is given. Experimental results verify the effectiveness and the universality of the proposed method, and its dehazing capacity is obviously enhanced. Meanwhile, the circular polarization effect based method also can effectively achieve dehazing result only with one intensity image and one circular polarization image. This method is much easier to implement, although the dehazing results are not comparative to that of the full polarization effects based method. The proposed methods would advance the applications of the polarimetric dehazing methods in dehazing application filed.