Abstract:

The ion beam focused state is studied theoretically by combining the schematic of the charge lens in space and the magnetohydrodynamics equation of the ion beam. The theory applies laminar flow of non-collision model to calculate a series of parameters, such as the initial radius, the emergence angle, the focal length and the minimum radius of the focal spot. The effects of energy divergence and dispersion differs on the minimum radius of the focal spot are analyzed theoretically. Finally, in line with the principles of the conservation of energy and angular momentum, the maximum radius of the beam in view of different incidence angles of the ion beam are calculates. The results show that with the increase of incident angle, the confluence angle and the minimum radius of the focal spot will reduce, and the focal length will increase. Besides, when beam radius increases, the parameters above will increase. The minimum focal spot radius, within the smooth area, is in close relationship to the energy divergence and the divergence. The larger energy divergence and the divergence become, the larger the focal length will be. Besides, beam divergence with the same incidence angle will show common character on the maximum radius.

Key words: Emergence angle, Focal length, Minimum focal spot radius, Maximum beam radius

摘要：

结合空间电荷透镜的原理图以及离子束流的磁流体运动方程对离子束流聚焦状态进行了理论研究。采用层流非碰撞模型数值计算了离子束流不同初始半径以及不同入射角的束流出射角、焦距以及最小焦斑半径。理论分析了能散度、色散像差等因素对束流最小焦斑半径的影响。在离子束流遵循能量和角动量守恒的原则下，对不同入射角度的离子束流的束流最大半径进行了模拟计算。研究表明，束流入射角度增大，会聚角和最小焦斑半径减小，焦距增大。束流半径增大，会聚角、焦距和最小焦斑半径都增大。最佳会聚角所在的平滑区域内束流的发散度以及能散度对最小焦斑半径的影响较大。束流发散度或者能散度的增加，都能导致最小焦斑半径的增大。入射角度绝对值相同的束流，束流最大半径相同。

关键词: 出射角, 焦距, 最小焦斑半径, 束流最大半径