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直线加速器中电荷束团的非线性效应是导致束流发射度增长的一个重要原因。文中给出直线加速器中几种常见的非均匀密度分布的有限长空间电荷束团所具有的非线性自场能，即纵向非均匀电荷密度分布分别为水袋型、抛物线型，而横向密度分布为均匀（Ｋ－Ｖ）型、水袋型、抛物线型及高斯型等各种组合非均匀密度分布的自场能公式，并得到了由束团非线性均匀电荷密度分布引起的束流发射度增长。
The nonlinear effect of the charge bunching in a linear accelerator is one of the important reasons for the increase of beam emissivity. In this paper, we present the nonlinear self-field properties of finite long-space charge bunches of several common nonuniform density distributions in linear accelerators, ie, the longitudinal nonuniform charge density distributions are respectively water bag type and parabola type, while the transverse density distribution For the uniform (K-V) type, water bag type, parabolic and Gaussian distribution of various combinations of non-uniform density of the self-field formula, and obtained by the bundle uniformity of charge density distribution caused by non-uniform beam emittance increase.