Contour Function Theory for Transport of Charged Particle Beams

Abstract：

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 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.