BEPCⅡ中电子云不稳定性模拟研究

正电子储存环在多束团运行时有可能发生电子云不稳定性(ECI)?.本文针对北京正负电子对撞机二期工程(BEPCⅡ)的具体条件,编写发展了模拟计算程序,以不同电子云密度抑制措施下的计算结果为基础,研究了耦合束团不稳定性和单束团不稳定性,给出了电子云不稳定性增长率和阈值密度以及色品对束团尺寸增长的抑制作用,为储存环中电子云不稳定性的前沿科学研究和BEPCⅡ工程设计提供了有意义的结果.     

BEPC中的电子云不稳定性研究

多束团正电子储存环中可能发生电子云不稳定性(ECI). 自1996年起, 在北京正负电子对撞机(BEPC)上开展了与这种束流不稳定性相关的系列研究. 文章扼要介绍在BEPC上进行的电子云不稳定性研究, 包括实验观测和模拟计算, 并讨论可能的抑制措施.     

BEPCⅡ横向束流反馈系统样机在BEPC上的实验

为了抑制BEPCⅡ产生的耦合束团不稳定性, 提高储存环中的流强, 研制了一套逐束团横向束流反馈系统的样机并在BEPC上做了实验, 得到了理想的结果. 当束团不稳定时, 频谱仪上可以观察到横向边带, 此时将反馈系统闭环工作于阻尼状态时, 横向边带立即消失. 本文介绍了样机系统的组成、各部分的功能和实验结果.     

BEPCⅡ中电子云密度的计算研究

正电子储存环在多束团运行时有可能发生电子云不稳定性(ECI).本文针对北京正负电子对撞机二期工程(BEPCⅡ)的具体条件,区别于国外的研究编写发展了模拟计算程序,首次给出了前室型真空管道中电子云的聚集情况,定量计算了不同前室长度,不同二次电子产额作用下的电子云密度;通过模拟计算研究了在真空管道中放置清洗电极来降低电子云密度并改变密度分布以抑制不稳定性的可能性,为储存环中电子云不稳定性的前沿科学研究和BEPCⅡ工程设计提供了有意义的结果     

储存环高频剔除系统

 介绍了用于电子储存环部分填充和非均匀填充的一种实验装置,它利用储存环中电子运动所具有的横向自由振荡和束团脉冲的时间结构这一特性,采用外加激励的方法使其产生共振,从而使得储存环中部分束团中的电子丢失,形成储存环的部分填充和非均匀填充。还扼要介绍了用高频剔除系统在储存环上实现不同填充方式时的束流积累结果。     

BEPC横向阻尼时间的测量

 利用逐束团测量系统在BEPC储存环中跟踪单个束团得到其多圈位置振荡信息，获得BEPC储存环的横向阻尼时间与束流流强、色品、八极子和束流能量的关系，并通过分析得到了BEPC储存环辐射阻尼时间为52 ms。实验结果表明：流强越高、色品越大，阻尼率也就越大；束流流强为4.7 mA时八极子强度的变化对阻尼率没有影响；束流流强为5 mA时，阻尼率随束流能量升高而减小。     

合肥同步辐射光源的耦合度校正

 在合肥同步辐射储存环中由于四极铁的旋转误差和在六极铁中垂直方向的闭轨畸变等,导致电子水平和垂直两个方向的运动的耦合,耦合度达到12%（测量值）。为降低束流的横向耦合度,提高光源亮度,拟在储存环中安装斜四极铁,探讨了斜四极铁的设计及安装的方法。     

基于逐圈位置频谱的束流不稳定性

 利用上海光源储存环中受激电子束团位置信号频谱数据,确定了束团在加速器中运行的工作点及品质因数,获得了储存环垂直方向阻抗和横向阻尼率,分析了不稳定性产生的原因。阐述了加速器中受激束团的运动特点,以RLC振荡电路为基础,对束团运动进行简单的建模,利用模型中频率响应函数对频谱中的脉冲波形进行拟合,得到了用于表示运动阻尼及频率分散程度的品质因数。实验结果表明：利用该方法拟合得到的数据与原数据的相关性可达98%以上,所拟合波形与原波形整体相似度高。对不同流强下的数据进行了研究,随着流强的逐渐增加,工作点和品质因数同步减小,不稳定性加剧,流强达到阈值后,频谱中单峰分裂为双峰,束流品质降低。     

空间电荷主导电子束的纵向聚焦设计

在空间电荷主导电子束研究中,纵向聚焦非常重要,在输运过程中由于强空间电荷力的影响,束团将很快变长并崩溃,马里兰大学的电子环设计用于方形束团和抛物线形束团的研究,环中需要用三个感应腔对束团进行纵向聚焦.文中首先介绍了方形束团和抛物线形束团的纵向束流动力学,推导了两种束团纵向聚焦所需要的5MHz重复率高压脉冲波形,并给出了实现纵向聚焦的感应腔设计及其特殊要求.     

直线加速器中双向高斯密度分布电荷束团发射度增长的比率关系

采用直线加速器中的空间电荷束团的有限圆柱模型,并假设该有限圆柱体电荷密度分布在横向r和纵向z都满足高期分布,推导得到了该电荷束团的自场能与发射度增长公式;通过数值模拟计算,给出了束流发射度增长随束团参数和加速器系统参数变化的图表曲线,讨论了该双向高期密度分布电荷束团发射度增长的比率关系.     

Observation of vertical betatron sideband due to electron clouds in the KEKB low energy ring

The effects of electron clouds on positively charged beams have been an active area of research in recent years at particle accelerators around the world. Transverse beam-size blowup due to electron clouds has been observed in some machines and is considered to be a major limiting factor in the development of higher-current, higher-luminosity electron-positron colliders. The leading proposed mechanism for beam blowup is the excitation of a fast head-tail instability due to short-range wakes within the electron cloud. We present here observations of betatron oscillation sidebands in bunch-by-bunch spectra that may provide direct evidence of such head-tail motion in a positron beam.     

Simulation on buildup of electron cloud in a proton circular accelerator

Electron cloud interaction with high energy positive beams are believed responsible for various undesirable effects such as vacuum degradation, collective beam instability and even beam loss in high power proton circular accelerators. An important uncertainty in predicting electron cloud instability lies in the detailed processes of the generation and accumulation of the electron cloud. The simulation on the build-up of electron cloud is necessary to further studies on beam instability caused by electron clouds. The China Spallation Neutron Source(CSNS) is an intense proton accelerator facility now being built, whose accelerator complex includes two main parts: an H-linac and a rapid cycling synchrotron(RCS). The RCS accumulates the 80 Me V proton beam and accelerates it to 1.6 Ge V with a repetition rate of 25 Hz. During beam injection with lower energy, the emerging electron cloud may cause serious instability and beam loss on the vacuum pipe. A simulation code has been developed to simulate the build-up,distribution and density of electron cloud in CSNS/RCS.     

质子束团传输过程中的二次电子多级倍增

电子云不稳定性是强流质子加速器稳定运行的一个重大障碍。在电子云积累的过程中,二次电子多级倍增是电子云的主要来源。二次电子多级倍增机制可以用电子的运动和能量增益来分析。为了得到电子云的密度及分布,编写了一个模拟程序用来跟踪电子云的发展演化过程。分析了在质子束团作用下电子的运动,分析二次电子多级倍增的原因,并用模拟程序进行了计算,结果发现电子云与束团的纵向分布密切相关。     

Moving mesh methods for blowup in reaction–diffusion equations with traveling heat source

In this paper moving mesh methods are used to simulate the blowup in a reaction–diffusion equation with traveling heat source. The finite-time blowup occurs if the speed of the movement of the heat source remains sufficiently low, and the blowup procedure is not fixed at one point not like that for stationary heat source. As time goes to the blowup time, the blowup profile converges to a stationary state. In the simulation a new moving mesh algorithm is designed to deal with the difficulty caused by the delta function in the traveling heat source. The convergence rates are verified and new blowup figures are generated from the numerical experiments.     

Die Bewegung des Polarisationsvektors eines Dirac-Teilchens im makroskopischen elektromagnetischen Feld

Scattering has been observed of 70-keV electrons by Kollodium-foils containing elements of high atomic number (lead). The contents of lead are determined and the kind of distribution of lead in the foil is described. The differential cross-section as a function of the angle of scattering approximates the cross-section calculated by Sherman with lower contents of lead of the foils. Remaining deviations can be explained by screening-effects of the electron cloud.     

多极场的电子云俘获效应研究

电子云效应限制了几台加速器的高束流密度运行,例如SLAC和KEK的B工厂,CERN的SPS与PS.本文运用辛流形上的1-form李摄动法研究了2n多极场的电子云俘获效应,结果发现在多极磁铁(n>1)的绝热区存在电子俘获     

Subharmonic excitation of the eigenmodes of charged particles in a Penning trap

When parametrically excited, a harmonic system reveals a nonlinear dynamical behaviour which is common to non-deterministic phenomena. The ion motion in a Penning trap -- which can be regarded as a system of harmonic oscillators -- offers the possibility to study anharmonic characteristics when perturbed by an external periodical driving force. In our experiment we excited an electron cloud stored in a Penning trap by applying an additional quadrupole r.f. field to the endcaps. We observed phenomena such as individual and center-of-mass oscillations of an electron cloud and fractional frequencies, so-called subharmonics, to the axial oscillation. The latter show a characteristic threshold behaviour. This phenomenon can be explained with the existence of a damping mechanism affecting the electron cloud; a minimum value of the excitation amplitude is required to overcome the damping. We could theoretically explain the observed phenomenon by numerically calculating the solutions of the damped differential Mathieu equation. This numerical analysis accounts for the fact that for a weak damping of the harmonic system we observed an even-odd-staggering of the the different orders of the subharmonics in the axial excitation spectrum.Received: 22 September 2003, Published online: 2 December 2003PACS: 52.27.Jt Nonneutral plasmas - 82.80.Qx Ion cyclotron resonance mass spectrometry     

基于扫描隧道显微镜的原子电子云结构

本文简要介绍了扫描隧道显微镜的基本工作原理，展示了一些扫描样品（石墨和铜）的电子云图，在简要介绍量子力学关于原子电子云结构基本理论的基础上，通过理论上的电子云结构与扫描结果的比较，在一定程度上验证了量子力学关于原子电子云结构理论的正确性．     

Blowup of Jang’s Equation at Outermost Marginally Trapped Surfaces

The aim of this paper is to accurately describe the blowup of Jang’s equation. First, we discuss how to construct solutions that blow up at an outermost MOTS. Second, we exclude the possibility that there are extra blowup surfaces in data sets with non-positive mean curvature. Then we investigate the rate of convergence of the blowup to a cylinder near a strictly stable MOTS and show exponential convergence with an identifiable rate near a strictly stable MOTS.     

Estimation of secondary electron effect in the J-PARC rapid cycling synchrotron after first study

The J-PARC 3 GeV rapid-cycling synchrotron (RCS) is required to provide 1 MW pulsed protons to the spallation neutron target and the 50 GeV main ring. Since the RCS finally accelerates very high intensity beam such as 8.3 × 10¹³ ppp, the secondary electron cloud may affect the accelerator performance. We measured the secondary electron emission from the TiN coating surface and the ferrite sample. By using these measurement results, we estimated the effect of the electron cloud made by the emitted secondary electron at present beam parameters.