高斯场下形体影响因子的动态特征以及微扰方程的修正

为解决微粒形体变化对微粒测量结果的影响，在半椭圆模型理论模型的基础上，对高斯分布散射场下任意形体微粒散射的影响因子进行了讨论。建立了影响因子与形体特征参量和微粒粒度之间的数学关系，并求得了其影响因子数值解的分布。基于对影响因子数值解分布动态特征的讨论，拟合得到了高斯分布散射场下任意形体微粒影响因子函数解的解析式，由此提出了对任意形体微粒特征分布概率函数微扰方程的修正。研究结果表明，该方法对于大粒度微粒形体变化对测量结果影响的修正效果尤佳。

Dynamical Characteristics of the Shape Influence Factor in Gauss Scattering Field and Improvement of Perturbation Equation

In order to settle the influence of measuring results of particles with its shape-variety, the shape-influence factor of arbitrary particles in Gauss scattering field is discussed based on the half-ellipse model, the mathematic relation between the shape-influence factor and size and shape of particles is rebuilt, and the distribution of numerical-solution of the influence factor is obtained. The analytical formula solution of the influence factor is fitted in Gauss scattering field based on the studying of the dynamical characteristics of it. Then the perturbation equation about the probability distribution characterized-function of arbitrary particles is improved. It shows that this method is very useful for partides with large diameter in the shape-modifying.