%0 Journal Article
%T Lie algebraic analysis for the nonlinear transportof intense pulsed beams in electrostatics lenses
%A 吕建钦
%A 李金海
%J 中国物理 B
%D 2004
%I 
%X 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, p_x, y, p_y, τ, p_τ) 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.
%K electrostatic lenses
%K intense pulsed beams
%K Gauss distribution
%K Lie map
%K nonlinear<br>李代数分析
%K 高斯分布
%K 李图
%K 非线性传输
%K 脉冲束
%K 静电透镜
%U http://www.alljournals.cn/get_abstract_url.aspx?pcid=6E709DC38FA1D09A4B578DD0906875B5B44D4D294832BB8E&cid=47EA7CFDDEBB28E0&jid=CD8D6A6897B9334F09D8D1648C376FB4&aid=9CC0BE36E4F36E1964D916F4C8D7F75A&yid=D0E58B75BFD8E51C&vid=FC0714F8D2EB605D&iid=F3090AE9B60B7ED1&sid=EDB832473B2BA2DF&eid=F6670E075D37D361&journal_id=1009-1963&journal_name=中国物理&referenced_num=0&reference_num=2