From the angular spectrum theory of beam, we obtain a transmission model in the paraxial approximation which describes the spin Hall effect of light, and we use this model to analyze the cross-polarization characteristics in spin Hall effect of light. By analyzing the change of cross-polarization intensity and incident angles we find that the spin splitting in spin Hall effect of light becomes stronger when cross-polarization effect is stronger. In order to facilitate the experimental

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... n, we choose the incident angle near the Brewster angle where it's spin Hall effect of light is much more evident, and from where we observe a strong cross-polarization effect. If we increase the cross-polarization components and reduce the light of original polarization direction at the same time, the spin Hall effect of light can be greatly enhanced. This is a promising method to develop new optical devices based on spin Hall effect of light.