轴对称静电场中粒子非线性轨道的Lie代数分析  

Nonlinear Optics of the Electrostatic Accelerator Tubes-Third Order Lie Map

作　　者：吕建钦[1] 

机构地区：[1]北京大学重离子物理研究所,北京100871

出　　处：《高能物理与核物理》2002年第4期402-408,共7页High Energy Physics and Nuclear Physics

摘　　要：用Lie代数方法分析了相对论脉冲束在轴对称静电场中的非线性传输 ,得到粒子在六维相空间 (x ,x′,y,y′,τ,pτ)中的三级近似轨迹 .在分析中 ,以静电加速管为例 ,把静电加速管分成三个单元 ,即入口膜片透镜 -匀加速场 -出口膜片透镜 ,对每个单元施加Lie变换 ,从而得到轨迹的各级近似 .Lie algebraic method is used in the analysis of nonlinear transport for the relativistic charged particles in cylindrical symmetrical electrostatic fields, and particle orbits of third order approximation in the six dimensional phase space (x, x′, y, y′, τ, p-τ) are obtained. In the analysis, we take the electrostatic accelerating tube as an example, and divide the electrostatic accelerating tube into three elements: entrance thin lens, uniform accelerating field and exit thin lens, on which Lie map is applied, and the solutions through third order of particle orbits are obtained finally. This method can also be used for the electrostatic lenses.

关 键 词：轴对称静电场 Lie映射 三级近似 LIE代数 非线性轨道 相对论脉冲束 非线性传输 粒子运动 静电加速管 

分 类 号：O572.21[理学—粒子物理与原子核物理]