Lie algebraic analysis for the nonlinear transport of intense pulsed beams in electrostatics lenses

• 来源期刊: 中国物理（英文版）
• 关键词: electrostatic lenses intense pulsed beams Gauss distribution Lie map nonlinear
• 年，卷（期）: 2004,（10）
• 页码范围: 1665-1668
• 页数: 4页
• 语种: 英文

摘要

The Lie algebraic method is applied to the analysis of the nonlinear transport of an intense pulsed beam in cylindrically symmetrical electrostatic lenses, and particle orbits in a six-dimensional phase space (x, px, y, py, τ, pτ)are obtained in the second order approximation. They can also be acquired in the third or higher order approximation if needed. In the analysis, we divide the electrostatic lenses into several segments. Each segment is considered as a uniform accelerating field, and each dividing point is treated as a thin lens. The particle distribution in a three-dimensional ellipsoid is of Gaussian type.