强流束在四极磁铁中传输的矩阵法与程序设计
Matrix Method and Program Design of Intense Beam Transport in Quadrupole Magnet
-
摘要: 强流脉冲束传输的计算是一个相当复杂的问题， 因为不同类型的粒子束分布产生不同的空间电荷场， 而在束流运动过程中， 空间电荷场也在不断地变化， 而且粒子运动的轨迹与空间电荷势又是相互依赖的， 因此需要求得一个自洽解。采用矩阵法分析了非强流脉冲束流与强流脉冲束流在四极磁铁中传输的矩阵， 并编写了束流在四极磁铁等元件中的传输计算程序， 程序采用迭代计算方法获得自洽解。程序运行时， 可以进行直观的图形显示。It is very difficalt to calculate the nonlinear transport of a intense beam, because the particle trajectories depend on the electric potentials excited by the particle beams, and the electric potentials of the beams depend on the particle trajectories and the particle distributions in the phase spaces. So, it is necessary to solve the problem by iterations to get selfconsistent solutions.We use transport matrix method to analyze the transportation in quadrupole magnet of nonintense pulsed beam and intense pulsed beam respectively, and write a computer code for the pulsed beam transporting in quadrupole magnet. The selfconsistent solution can obtained by using iteration calculation method. During the calculation, the result can be shown by the prompt graph.Abstract: It is very difficalt to calculate the nonlinear transport of a intense beam, because the particle trajectories depend on the electric potentials excited by the particle beams, and the electric potentials of the beams depend on the particle trajectories and the particle distributions in the phase spaces. So, it is necessary to solve the problem by iterations to get selfconsistent solutions.We use transport matrix method to analyze the transportation in quadrupole magnet of nonintense pulsed beam and intense pulsed beam respectively, and write a computer code for the pulsed beam transporting in quadrupole magnet. The selfconsistent solution can obtained by using iteration calculation method. During the calculation, the result can be shown by the prompt graph.
下载: