高能物理与核物理
高能物理與覈物理
고능물리여핵물리
HIGH ENERGY PHYSICS AND NUCLEAR PHYSICS
2003年
1期
76-82
,共7页
静电透镜%强流脉冲束%Lie映射%非线性
靜電透鏡%彊流脈遲束%Lie映射%非線性
정전투경%강류맥충속%Lie영사%비선성
electrostatic lenses%intense pulsed beams%Lie map%Nonlinearity
用Lie代数方法分析了相对论强流脉冲束在轴对称静电透镜中的非线性传输,得到粒子在6维相空间(x,x′,y,y′,τ,pτ)中的2级近似轨迹.在分析中,把静电透镜的场作用区分成若干小段,每个小段看作匀加速段,而每个分点看作薄透镜,依次施加"e变换,就得到轨迹的各级近似.这里,假定粒子在相空间中为K-V分布.
用Lie代數方法分析瞭相對論彊流脈遲束在軸對稱靜電透鏡中的非線性傳輸,得到粒子在6維相空間(x,x′,y,y′,τ,pτ)中的2級近似軌跡.在分析中,把靜電透鏡的場作用區分成若榦小段,每箇小段看作勻加速段,而每箇分點看作薄透鏡,依次施加"e變換,就得到軌跡的各級近似.這裏,假定粒子在相空間中為K-V分佈.
용Lie대수방법분석료상대론강류맥충속재축대칭정전투경중적비선성전수,득도입자재6유상공간(x,x′,y,y′,τ,pτ)중적2급근사궤적.재분석중,파정전투경적장작용구분성약간소단,매개소단간작균가속단,이매개분점간작박투경,의차시가"e변환,취득도궤적적각급근사.저리,가정입자재상공간중위K-V분포.
The nonlinear transport of intense pulsed beams is analyzed with the Lie algebraic method in the case of K-V distribu-tion, and the particle trajectories of second order approximation in the 6-D phase space (x, x', y, y', τ, Pτ) are obtained. Thebeams could be axial-symmetrical or non-axial-symmetrical in the transverse direction. In the analysis, the effective fields of lensare divided into several small intervals. Each interval is treated as a uniform accelerating field and each dividing point is consid-ered as a thin lens. Let the Lie map act on each uniform accelerating field and thin lens, the nonlinear particle trajectories can beobtained.
