强流束在二极磁铁中的非线性传输—Lie代数分析

用Lie代数方法分析了带电粒子束在二极磁铁中的非线性传输,包含了空间电荷效应。粒子在相空间中的分布采用K V分布。轨迹分析的结果做到二级近似,根据需要,还可以扩展到三级或更高级近似。在分析中,将磁铁沿中心轨道分成若干小段。在每个小段上利用所得公式进行轨迹计算,得到自洽的解。然后重复此过程,作下一小段的计算,直到最后一个小段为止。     

强流脉冲束在静电透镜中非线性传输的Lie代数分析

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Lie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.     

强流直流束在螺线管透镜中传输的Lie映射

用Lie代数方法分析了强流直流束在螺线管透镜中的传输, 考虑了两种情况：一种情况是外磁场力大于空间电荷力, 另一种情况是外磁场力小于空间电荷力. 得到两种情况下的传输矩阵. 分析结果编制成了程序, 并计算了ECR离子源之后的束流传输系统.     

强流束在二极磁场中传输的模拟计算

为了研究空间电荷力对束流在二极磁场中传输的影响,从理论上用矩阵法分析非强流脉冲束流与强流脉冲束流在二极磁场中的传输矩阵,编写了束流在二极磁场等元件中传输的计算程序。用Powell优化方法计算非强流束传输实现给定的光学条件,用迭代方法计算强流束传输获得自洽解。在不同束流流强条件下,运用该程序与其他程序进行了模拟计算,并对模拟结果进行了比较分析。模拟结果表明:束流流强越大,束流包络曲线横向发散越显著,空间电荷效应越强。     

强流脉冲高斯分布束在磁四极透镜中的非线性传输

用李代数方法分析了高斯分布下强流脉冲束在磁四极透镜中的非线性传输.在高斯分布下,束流的空间电荷势可利用Green函数算出,进而可以得到包含束流自场的粒子运动的Hamilton函数.再施加李变换,就可以得到粒子运动的各级近似解.本文给出二级近似下的结果,根据需要,还可以扩展到更高级近似.计算过程需要进行迭代,即根据每次算出的轨迹值,确定束团在三维实空间中的大小,然后再进行迭代,直到满足精度要求为止.     

六极磁铁的三级Lie映射

用Lie代数方法分析了相对论带电粒子在六极磁铁中的运动,得到在六维相空间中粒子的三级近似轨迹.     

强流束在四极磁铁中传输的矩阵法与程序设计

强流脉冲束传输的计算是一个相当复杂的问题, 因为不同类型的粒子束分布产生不同的空间电荷场, 而在束流运动过程中, 空间电荷场也在不断地变化, 而且粒子运动的轨迹与空间电荷势又是相互依赖的, 因此需要求得一个自洽解。采用矩阵法分析了非强流脉冲束流与强流脉冲束流在四极磁铁中传输的矩阵, 并编写了束流在四极磁铁等元件中的传输计算程序, 程序采用迭代计算方法获得自洽解。程序运行时, 可以进行直观的图形显示。It is very difficalt to calculate the nonlinear transport of a intense beam, because the particle trajectories depend on the electric potentials excited by the particle beams, and the electric potentials of the beams depend on the particle trajectories and the particle distributions in the phase spaces. So, it is necessary to solve the problem by iterations to get self consistent solutions.We use transport matrix method to analyze the transportation in quadrupole magnet of non intense pulsed beam and intense pulsed beam respectively, and write a computer code for the pulsed beam transporting in quadrupole magnet. The self consistent solution can obtained by using iteration calculation method. During the calculation, the result can be shown by the prompt graph.     

强流直流束在螺线管透镜中传输的Lie映射

用Lie代数方法分析了强流直流柬在螺线管透镜中的传输,考虑了两种情况:一种情况是外磁场力大于空间电荷力,另一种情况是外磁场力小于空间电荷力.得到两种情况下的传输矩阵.分析结果编制成了程序,并计算了ECR离子源之后的束流传输系统.     

强流脉冲束在螺旋管透镜中的非线性传输计算

为计算强流脉冲束在螺旋管透镜６维相空间中的非线性传输,用Visual Fortran 6.5语言设计了一个计算程序,计算由漂浮空间、螺旋管透镜等元件组成的束流光学系统。程序在计算非强流脉冲束流的线性传输时,粒子的轨迹通过矩阵的直接相乘计算得出;程序在计算强流脉冲束流的非线性传输时,需要考虑束流中的空间电荷效应对束流传输的影响,在束流运动过程中,空间电荷场也在不断地变化,而且粒子运动的轨迹与空间电荷势又是相互依赖的,因此需要求得一个自洽的解,先把元件分成若干均等的区间,把电流分成若干等份,后采用束流电流迭代与元件区间迭代的计算方法。程序运行结束时,横向和纵向相图以及束流光学系统的束流包络线可以在微机屏幕上直观地显示出来。     

轴对称静电场中粒子非线性轨道的Lie代数

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，此方法可以推广到一般的轴对称静电场。     

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

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.     

Modification of Ti foils irradiated by intense heavy ion beams

ABSTRACT

Modification of Ti foils irradiated by intense energetic heavy ion (HI) beams in long-term experiments has been considered. The experiments on the synthesis of superheavy nuclei, which are carried out in Dubna with a gas-filled recoil separator (DGFRS), determine the conditions of such experiments. High intensities of HIs passing through a relatively small area and thickness of the foils, as well as their heating by a beam, are inherent in such experiments. The ability of the foils to withstand radiation damages, sputtering, and evaporation of atoms becomes questionable. All the processes seem to be dependent on temperature, and none of them is independent of the others, but they can be considered separately. In this work, sputtering yields are estimated on the grounds of available models and experimental data and compared with the results of measurements carried out to verify the estimates. The foil temperature, in turn, can be estimated in the conditions of pulse heating followed by subsequent cooling with radiation emitted from their surfaces. These conditions correspond to the rotating Ti entrance window irradiated by a continuous HI beam in the DGFRS experiments.     

Lie algebraic analysis for intense bunched beam in the nonlinear transport of electrostatic quadrupoles

In this paper, the nonlinear transport of intense bunched beams in electrostatic quadrupoles is analyzed using the Lie algebraic method, and the results are briefly presented of the linear matrix approximation and the second order correction of particle trajectory in the state space. Beam having K-V distribution and Gaussian distribution approximation are respectively considered. A brief discussion is also given of the total effects of the quadrupole and the space charge forces on the evolution of the beam envelope.     

强激光场作用下部分离化等离子体的非线性极化

 针对线偏振光场，提出一个原子极化模型。假设原子核为静止不动的正电背景，束缚电子不发生再电离，自由电子与离子也不发生复合，电子对电场的响应是瞬时的，并用旋转椭球来近似描述电子云的形状。通过此模型，可解析地计算出不同电离状态原子的第1阶线性和第3阶非线性极化率、相应的极化电流、以及极化介质（原子）的折射系数。在低场近似下，这些结果可自洽地过渡到传统的非简谐振子模型，并可得到对应的谐振子的固有频率和非线性系数。     

Intense beam nonlinear transport in solenoid lenses

Lie algebraic methods are used in the analysis of the nonlinear transport of charged particle beams in solenoid lenses. Space charge effects are included. The particle distribution we used is a K－V type. Similar procedures can also be used for magnetic dipoles, quadrupoles, sextupoles and other optic elements.     

直线变压器驱动源磁芯能量传递效率

磁芯是直线变压器驱动源(LTD)的关键部件之一,起着初、次级能量传递和次级电压感应叠加的作用,磁芯的能量传递效率对LTD系统的效率、体积和重量影响显著。对LTD系统中影响磁芯能量传递效率的原因进行了初步的分析,并利用Pspice软件的非线性磁芯模型对磁芯的工作过程和损耗进行了模拟计算,最后对LTD磁芯的能量传递效率进行了初步的实验研究,在工作电压为20 kV时、脉宽约220 ns时,在2.8 Ω负载上获得了大于60%的能量传递效率。     

Lie algebraic analysis for the nonlinear transport of intense bunched beam in electrostatic quadrupoles

In this paper, the nonlinear transport of intense bunched beams in electrostatic quadrupoles is analyzed using the Lie algebraic method, and the results are briefly presented of the linear matrix approximation and the second order correction of particle trajectory in the state space. Beam having K-V distribution and Gaussian distribution approximation are respectively considered. A brief discussion is also given of the total effects of the quadrupole and the space charge forces on the evolution of the beam envelope.