带电粒子束传输的相图函数理论

Contour Function Theory For Transport of Charged Particle Beams

带电粒子束发射相图的形状可用相图函数描述．本文利用相图函数理论和Ｌｉｅ代数研究非线性传输系统中束相图的变化．同时研究了它的逆问题──根据束特性选择传输系统参数．作为例子，讨论了利用非线性元素改善束质量和非线性周期场系统中的束匹配问题．

The shape of the emittance contour of a charged particle beam can be described by the contour function. In this paper the variance of the beam contour in the nonlinear transport system is studied by means of the contour function theory and Lie algebra. Its inverse problem, the selection of parameters of the transport system according to the beam properties, can be studied also. As examples, the improvement of the beam quality by means of the nonlinear element and the beam matching in the nonlinear periodic field system are discussed.