本文根据散射相位函数的定义,得到了偏振状态下单个粒子散射相位函数的表达式,并且通过研究发现以下规律:1)粒子半径越小,极值差随散射角越趋向于对称分布;2)散射角在0～0.025π以及0.997π～π之间,散射相位函数随极化角基本不变;3)散射角在0.025π～0.997π之间,散射相位函数随极化角变化明显。同时比较了偏振状态下多粒子和单粒子散射相位函数随散射角和极化角的分布。最后从大气中光传输理论出发,建立了非偏振状态与偏振状态下散射相位函数的关系,为大气散射回波功率测量以及近似散射相位函数的研究提供参考。

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 π, 0.997 π 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 0.997 π 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.