Intense DC beam nonlinear transport-analysis & simulation

The intense dc beam nonlinear transport was analyzed with the Lie algebraic method, and the particle trajectories of the second order approximation were obtained. Based on the theoretical analysis a computer code was designed. To get self-consistent solutions, iteration procedures were used in the code. As an example, we calculated a beam line (drift-electrostatic quadrupole doublet-drift). The results agree to the results calculated by using the PIC method.     

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。     

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。     

Transverse dynamics of space charge dominated beam during bunching

In this paper we present a technique to optimize the transport parameters for transverse matching of the space charge dominated beams in the presence of bunching. The increase in the current within the specified bunch width during the transport is obtained from the disc model and is included in the optimization method. A 2D particle in cell (PIC) code is then developed to study the details transverse dynamics of the bunch taking into account the effect of longitudinal compression by reweighting the charge and mass of macroparticles. The evolution of rms beam size obtained using PIC simulation agrees well with the results obtained by solving beam envelope equation. The PIC simulation shows emittance growth during bunching induced by the space charge effect for nonuniform distribution. The growth in the emittance increases with the nonlinearity of distribution and peaks near the time focus.     

Numerical investigation of space charge electric field for a sheet electron beam between two conducting planes

Analytical and numerical study of the stability of sheet electron beam in periodically cusped magnetic field (PCM) is made. The beam has been considered as having diffused density profile. The conditions for beam focusing are discussed.     

Comparison of the PIC model and the Lie algebraic metnod in the simulation of intense continuous beam transport

Both the PIC(Particle-In-Cell) model and the Lie algebraic method can be used to simulate the transport of intense continuous beams.The PIC model is to calculate the space charge field,which is blended into the external field,and then simulate the trajectories of particles in the total field;the Lie algebraic method is to simulate the intense continuous beam transport with transport matrixes.Two simulation codes based on the two methods are developed respectively,and the simulated results of transport in a set of electrostatic lenses are compared.It is found that the results from the two codes are in agreement with each other.and both approaches have their own merits.     

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.     

Comparison of the PIC model and the Lie algebraic method in the simulation of intense continuous beam transport

Both the PIC (Particle-In-Cell) model and the Lie algebraic method can be used to simulate the transport of intense continuous beams. The PIC model is to calculate the space charge field, which is blended into the external field, and then simulate the trajectories of particles in the total field; the Lie algebraic method is to simulate the intense continuous beam transport with transport matrixes. Two simulation codes based on the two methods are developed respectively, and the simulated results of transport in a set of electrostatic lenses are compared. It is found that the results from the two codes are in agreement with each other, and both approaches have their own merits.     

强流脉冲离子束辐照双层靶能量沉积的数值模拟

利用拟合实验测得的TEMP Ⅱ型加速器磁绝缘二极管电压波形及其焦点附近束流密度曲线,建立了Gauss分布模型.采用Monte Carlo方法研究了强流脉冲离子束与铝材镀有不同厚度金膜的双层靶(金膜与铝材合称为双层靶)之间的相互作用,模拟了能量沉积的演化过程和随不同金膜厚度的变化情况.对脉冲离子束强化薄膜粘结性进行了探讨. 关键词： 强流脉冲离子束 双层靶 能量沉积 Monte Carlo方法     

强流电子束聚焦数值模拟

采用粒子模拟（PIC）方法模拟了强流电子束在薄磁透镜中的聚焦。建立了强流电子束的聚焦模型,模拟了神龙一号加速器某次实验的结果,得到的模拟结果非常接近实验值,证明采用建立的PIC模型模拟强流束经过磁透镜时的聚焦是可信的。应用此模型模拟了电子束参数（入射半径、发射度、能散度、相位角等）对焦斑直径的影响, 结果表明:在模拟条件下,电子束平行入射时最佳束包络半径位于20.0~22.5 mm;发射度和能散度对焦斑直径的影响和理论公式吻合得较好;只有入射电子束包络半径和相位角匹配时才能得到小的焦斑直径。     

Computer simulations for intense continuous beam transport in electrostatic lens systems

A code LEADS based on the Lie algebraic analysis for the continuous beam dynamics with space charge effect in beam transport has been developed.The program is used for the simulations of axial-symmetric and unsymmetricalintense continuous beam in the channels including drift spaces.electrostatic lenses and DC electrostatic accelerating tubes.In order to get the accuracy required,all elements are divided into many small segments,and the electric field in the segments is regarded as uniform field,and the dividing points are treated as thin lenses.Iteration procedures are adopted in the program to obtain self-consistent solutions.The code can be used in the designs of low energy beam transport systems,electrostatic accelerators and ion implantation machines.     

Computer simulations for intense continuous beam transport in electrostatic lens systems

A code LEADS based on the Lie algebraic analysis for the continuous beam dynamics with space charge effect in beam transport has been developed. The program is used for the simulations of axial-symmetric and unsymmetrical intense continuous beam in the channels including drift spaces, electrostatic lenses and DC electrostatic accelerating tubes. In order to get the accuracy required, all elements are divided into many small segments, and the electric field in the segments is regarded as uniform field, and the dividing points are treated as thin lenses. Iteration procedures are adopted in the program to obtain self-consistent solutions. The code can be used in the designs of low energy beam transport systems, electrostatic accelerators and ion implantation machines.     

无箔二极管强流电子束空间密度分布初步研究

通过在强磁场条件下, 利用环形刀口石墨阴极（刀口尺寸38~39 mm）开展电子束轰击收集极内表面铜箔和垂直轰击金属靶片实验, 对无箔二极管中电子束的空间密度分布进行了初步研究, 并对其产生原因进行了分析。研究结果表明, 电子束径向分布在37.2~40.2 mm, 存在密度较高区域（38.8~39.4 mm）和密度最大值点（39.2 mm）, 且均偏向于阴极外侧。无箔二极管环形阴极爆炸发射产生电子束的径向密度分布可用偏态分布近似。     

无箔二极管强流电子束空间密度分布初步研究

通过在强磁场条件下,利用环形刀口石墨阴极(刀口尺寸38~39mm)开展电子束轰击收集极内表面铜箔和垂直轰击金属靶片实验,对无箔二极管中电子束的空间密度分布进行了初步研究,并对其产生原因进行了分析。研究结果表明,电子束径向分布在37.2~40.2mm,存在密度较高区域(38.8~39.4mm)和密度最大值点(39.2mm),且均偏向于阴极外侧。无箔二极管环形阴极爆炸发射产生电子束的径向密度分布可用偏态分布近似。     

Matching by solenoids in space charge dominated LEBTs

The betatron matching of a rotationally asymmetric beam in space charge dominated low-energy beam transports （LEBTs） where solenoids are used for the transverse matching has been studied. For better understanding, the coupling elements of a beam matrix are interpreted in special forms that are products of a term defined by the Larmor rotation angle and another by the difference between the beam matrix elements in the two transverse planes. The coupling form originally derived from the rotationally symmetric field in solenoids still holds when taking into account the rotationally asymmetric space charge forces that are due to the unequal emittance in the two transverse planes. It is shown in this paper that when an LEBT mainly comprising solenoids transports a beam having unequal emittance in the two transverse planes and the linear space charge force is taken into account, the initial Twiss parameters can be modified to obtain the minimum and equal emittance at the LEBT exit. The TRACE3D calculations also prove the principle. However, when quadrupoles that are also rotationally asymmetric are involved in between solenoids, the coupling between the two transverse planes becomes more complicated and the emittance increase is usually unavoidable. A matching example using the CSNS （China Spallation Neutron Source） LEBT conditions is also presented.     

Matching by solenoids in space charge dominated LEBTs

The betatron matching of a rotationally asymmetric beam in space charge dominated low-energy beam transports (LEBTs) where solenoids are used for the transverse matching has been studied.For better understanding, the coupling elements of a beam matrix are interpreted in special forms that are products of a term defined by the Larmor rotation angle and another by the difference between the beam matrix elements in the two transverse planes.The coupling form originally derived from the rotationally symmetric field in solenoids still holds when taking into account the rotationally asymmetric space charge forces that are due to the unequal emittance in the two transverse planes.It is shown in this paper that when an LEBT mainly comprising solenoids transports a beam having unequal emittance in the two transverse planes and the linear space charge force is taken into account, the initial Twiss parameters can be modified to obtain the minimum and equal emittance at the LEBT exit.The TRACE3D calculations also prove the principle.However, when quadrupoles that are also rotationally asymmetric are involved in between solenoids, the coupling between the two transverse planes becomes more complicated and the emittance increase is usually unavoidable.A matching example using the CSNS (China Spallation Neutron Source) LEBT conditions is also presented.     

强流脉冲离子束烧蚀等离子体向背景气体中喷发的数值研究

强流脉冲离子束辐照靶材产生烧蚀等离子体向背景气体中传播与向真空中传播不同，包括喷发等离子体与背景气体的相互作用.本文建立了该过程的二维气体动力学模型，计算了等离子体向压强范围从10^-6大气压到大气压背景气体中传播时的情况.结果表明，背景气体压强不同时，等离子体传播的现象也不相同.向真空中可以自由膨胀，向大气压中膨胀受限；当背景气压在千分之一大气压左右时，等离子体在背景气体中形成“雪犁”状，羽状等离子体出现快速和慢速传播分离现象.     

Analytical and simulation studies for diode and triode ion beam extraction systems

This work is concerned with ion beam dynamics and compares the emittance to aberration ratios of two-and three-electrode extraction systems. The study is conducted with the aid of Version 7 of SIMION 3D ray-tracing software. The beam dependence on various parameters of the extraction systems is studied and the numerical results lead to qualitative conclusions.     

“神龙—Ⅰ”直线感应加速器束流输运系统设计

系统分析了强流相对论电子束在输运过程中影响束流品质的几种因素,针对束流不同能区凸现的主要矛盾,采取对应性措施以抑制空间电荷效应,束包络振荡和束心横向运动,所有措施归结到束流输运系统设计上表现为合适的束输运半径和匹配磁场的选取,提出了束流输运磁场配置的一般策略,初步设计了“神龙－Ⅰ”直线感应加速器束流输运系统的总体布局。