周期聚焦磁场中束晕-混沌的实Morlet小波函数控制

 基于束晕-混沌的非线性控制策略，对周期性聚焦磁场中初始分布满足K-V分布的粒子束进行模拟研究，提出了控制其束晕-混沌的实Morlet小波函数控制器，并给出具体的实施方案。数值模拟研究表明，在适当的参数条件下，运用这种方法不仅可以消除束晕及其再生现象，达到对束晕-混沌的有效控制，而且可以控制束流到均匀分布。

Control of beam halo-chaos using real Morlet wavelet function in a periodic-focusing channel

The Kapchinsky-Vladimirsky (K-V) beam through an axisymmetric periodic-focusing magnetic field is studied using the particle-core model. The beam halo-chaos is found, and a real Morlet wavelet function controller is proposed based on the mechanism of halo formation and the strategy of controlling halo-chaos. The method is applied to the multi-particle simulation to control the halo. The numerical results show that the halo-chaos and its regeneration can be eliminated effectively by using the real Morlet wavelet function control method. At the same time, the radial particle density is uniform at the center of the beam as long as the control method and appropriate parameter are chosen.