Research of scattering phase function of spheric particle under polarized state

According to the definition of scattering phase function, we acquire the expression of single particle under polarized state. Three rules of orderliness are discovered as follows: 1) the smaller the particle radius is, the more symmetrical the distribution of extremum difference is. 2) When scattering angle is in the range from 0 to 0.025 n, 0.997 n to π radian, the scattering phase function has no change on the whole. 3) When scattering angle is in the range from 0.025π to 0.997π radian, the scattering phase function varies obviously. At the same time, distribution between single and multi-particle owing to the scattering angle and the polarized angle was compared. At last, we established the relationship of scattering phase function between polarized and unpolarized state according to the theory of light propagation in atmosphere, which offers a reference in the measurement of atmosphere return power and the research of approximate phase function.