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Numerical simulation on focused state of strong current ion beam

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.