面对称磁场中粒子的六维传输特性

THE SECOND-ORDER TRANSPORTATION OF PARTICLE BEAM IN FIELD WITH MIDPLANE SYMMETRY

导出了（ｘ，ｘ＇，ｙ，ｙ＇，ｔ，ｔ＇）相空间中粒子的一般六维运动方程。对于面对称磁场，还导出了（ｘ，ｘ＇，ｙ，ｙ＇，τ，τ＇）相空间粒子运动的二阶运动方程及其严格的一阶和二阶形式解。最后，给出了偏转磁铁具体的一阶及二阶传输解。

The general equation of motion in(x,x',,y,y',t,t') phase space is derived in the paper. Inthe magnetic field with midplane symmetry,the second-order equation of motion in(x,x',y,y',τ,τ')six-dimensional phase space and the formal solution of first- and second-order are given,Finally,the solution of first-and second-order of a uniform field dipole bending magnet,as aexample,is also given.