中文摘要：

考虑环形束流的空间电荷效应与相对论状态下的自磁效应对离子通道——环形束流系统的影响，研究了通道中环形束流的轨道与场解的自洽平衡态．利用动力学理论得到了电子平衡态分布函数以及环形束流的径向位置和通道内电磁场的自洽解．研究发现，相对论束流的自场对系统平衡态有很大影响，并证实了系统自洽平衡态的存在．数值计算给出了束流位置与通道半径间随能量的分布关系以及通道内场随半径分布的规律，为相关器件的设计提供了重要的理论数据．

英文摘要：

The effect of space-charge and relativistic self magnetic-field on the self-consistent equilibrium of the system with a relativistic hollow electron beam and ion-channel is studied. The distribution function and the relationship between location and energy of electron beam are derived by use of kinetic theory. The self-consistent field in ion-channel has also been established. It is clearly shown that the self-consistent equilibrium of the system exists. The relation of location of beam and radius of ion- channel was presented using numerical calculation. The distribution of electro-magnetic field in ion-channel is also given. The theory which is used in apparatus design is afforded by the research.