In order to better characterize the radiative polarization characteristics of the surface of objects, based on the P-G model, the Cauchy distribution is introduced into the model according to the distribution of microfacets on the surface of the object, and a two-component polarization bidirectional reflection distribution function (PBRDF) model based on Cauchy distribution is established. Based on the characteristics of infrared polarization radiation transmission, the black-body radiation law is used to derive the infrared radiation polarization degree model, and the infrared polarization imaging experiment is designed to test the model. Numerical analysis of the influence of the infrared polarization model with Cauchy distribution compared with the accuracy of Gaussian distribution, the results show that the micro-facet model characterized by Cauchy distribution has better applicability to describe the infrared polarization of the object surface. The above results provide theoretical support and technical support for the further optimization of the accuracy of the BRDF model.