重离子束的随机冷却系统设计研究

随机冷却系统有助于提高兰州重离子冷却储存环（ＣＳＲ）中束流累积效率，减小束流发射度．首先通过Ｆｏｋｋｅｒ－Ｐｌａｎｃｋ方程的建立，解出了某种初始分布下粒子分布的时间演化结果，并模拟了冷却过程；然后结合ＣＳＲ物理设计参数，计算了部分典型被加速离子的冷却时间，同时比较了电子冷却和随机冷却的冷却力，得出了一些结论；最后提出了硬件设计方案. Stochastic cooling system in Cooling Storage Ring (CSR) at Lanzhou will help to cool beam phase space and increase the accumulation ratio and efficency. In this paper, a Fokker Planck eqution is described and used to simulate cooling process.According to the main parameters of CSR,cooling time of some typical ions has been calculated and the cooling forces of electron cooling and stochastic cooling are compared. Finally, A hardware designing plan is proposed.     

HIRFL-CSR电子冷却束流位置测量系统

高效率的电子冷却过程, 要求电子束与离子束位置平行且重叠。 为了同时测量电子束与离子束的位置, 在HIRFL CSR电子冷却装置上研发了以容性圆筒形极板为感应电极的束流位置探测系统。 系统测量束流通过探针时产生的脉冲感应信号, 并进行傅里叶变换得到频谱信号, 分析4个不同电极上频谱信号强度获取束流的位置信息。 测量结果表明, 该束流位置探测系统测量准确, 为定量研究储存环离子累积和电子冷却过程与两种束流相对位置及角度的依赖关系提供了条件。 The efficient electron cooling requires that the ion beam and electron beam are parallel and overlapped. In order to measure the positions of ion beam and electron beam simultaneously, a beam position monitor system is developed for the HIRFL-CSR electron cooler device, which probe consists of four capacitive cylinder linear cut poles. One can get the both beam positions from the picking up signals of four poles by using Fourier transform(FFT) method. The measurement results show that the beam position monitor system is accurate. This system is suitable for investigating the relation between electron cooling processing and the angle of ion beam and electron beam.     

Commissioning of electron cooling in CSRe

The 400 MeV/u 12C6＋ ion beam was successfully cooled by the intensive electron beam near 1 A in CSRe.The momentum cooling time was estimated near 15 s.The cooling force was measured in the cases of difierent electron beam profiles,and the difierent angles between the ion beam and electron beam.The lifetime of the ion beam in CSRe was over 80 h.The dispersion in the cooling section was confirmed as positive close to zero.The beam sizes before cooling and after cooling were measured by the moving screen.The beam diameter after cooling was about 1 mm.The bunch length was measured with the help of the signals from the beam position monitor.The difiusion was studied in the absence of the electron beam.     

基于P2P技术的CSRe冷却装置控制系统设计

HIRFL-CSR工程对CSRe冷却装置电子冷却部分的控制系统在实时性和可靠性方面提出了非常高的要求。 电子冷却工作环境复杂, 各种干扰难以预测。 从电子冷却的控制系统改进出发, 以实现电子冷却的自动调束为目标, 以高端FPGA和ARM嵌入式系统为基础, 采用P2P通讯技术和神经元网络算法来实现对电子冷却的自动控制。 该控制系统对电子冷却控制的完善提供了先进的硬件平台和软件实现方案。 In the HIRFL-CSR project,it needs the high performance requirement in real time and reliability for the control system of CSRe’s cooling equipment——Cooler. Simultaneously, the running environment of the Cooler is very complex and it is difficult to predict various kinds of interference. To solve these problems, we focus on the improvement on the control system of the Cooler. The high performance FPGA and ARM embedded systems are used to realize the beam commissioning automatically,and the P2P(Peer to peer) technology and the neural network algorithm are adopted to implement the automatic control of the Cooler. The system provides the advanced hardware platform and the design proposal for the cooling control system.     

偶极场扰动与冷却效应对同步运动的影响

在同步加速器特别是冷却存储环中,偶极场扰动和冷却效应将会对粒子的Betatron振荡和同步振荡产生影响。 叙述了偶极场扰动对粒子同步运动的影响与高频相位调制等效, 重点研究了偶极场扰动与冷却效应同时存在的情况对粒子的同步运动产生的影响。 在经典力学框架内把粒子的同步运动方程化为广义的摆方程, 然后利用Melnikov方法对系统的稳定性进行了分析, 讨论了系统进入Smale马蹄混沌的物理意义,并导出了系统稳定的临界条件。根据稳定性判据, 给出了系统稳定性所需要的偶极场扰动的高频相位调制幅度和冷却系数的限制条件。 结果表明, 系统的稳定性与它的参数有关, 只需适当调节这些参数, 混沌便可原则上控制或避免。 The Betatron oscillation and the synchrotron oscillation for the particles are effected by the dipole field perturbation and the cooling effect. Both effects are considered in the paper and the synchrotron motion equation of the particle in the synchroton is reduced to the general pendulum equation in the classical mechanics frame. The stabilities of the system caused by dipole field perturbation and cooling are analyzed by using Melnikov method. The thresholds entered a Smale horseshoe chaos are derived in detail and the stability conditions for the system caused by dipole field perturbation and cooling are dicussed. The results show that the critical condition or the stability thresholds are related to the system parameters. The chaos or an instability can be avoided or controlled in principle by regulating some parameters of the system.     

RIBLL传输效率研究

利用实验测量和Monte Carlo模拟的方法,研究了RIBLL的传输效率。分析了影响传输效率的主要因素, 发现碎片的动量分布形式对传输效率的模拟结果有重要的影响。 另外通过比较, 发现大部分碎片传输效率的模拟结果稍大于实验测量结果, 两者最大相差约几十倍, 这可以帮助估算次级束流强度, 指导实验设计。 he transmission of RIBLL has been studied by experimental measurement and Monte Carlo simulation methods. The analysis of influence factors of the simulated transmission has been accomplished, and it was found that the momentum distribution of fragments is one of the most important factors influencing the simulation results. Furthermore, through comparing the measured and simulated results, it is found that the simulated result is larger than the measured transmission for most fragments and the maximal difference between them is about several tens of times. This simulation is a good theory tools for estimating the intensity of the secondary beam and designing the experiment in the future.     

Longitudinal Schottky spectra of a bunched Ne10+ ion beam at the CSRe

The longitudinal Schottky spectra of a radio-frequency (RF) bunched and electron cooled ²²Ne¹⁰⁺ ion beam at 70 MeV/u have been studied by a newly installed resonant Schottky pick-up at the experimental cooler storage ring (CSRe), at IMP. For an RF-bunched ion beam, a longitudinal momentum spread of Δp/p=1.6×10^-5 has been reached with less than 10⁷ stored ions. The reduction of momentum spread compared with a coasting ion beam was observed from Schottky noise signal of the bunched ion beam. In order to prepare the future laser cooling experiment at the CSRe, the RF-bunching power was modulated at 25^th, 50^th and 75^th harmonic of the revolution frequency, effective bunching amplitudes were extracted from the Schottky spectrum analysis. Applications of Schottky noise for measuring beam lifetime with ultra-low intensity of ion beams are presented, and it is relevant to upcoming experiments on laser cooling of relativistic heavy ion beams and nuclear physics at the CSRe.     

A permanent magnet electron beam spread system used for a low energy electron irradiation accelerator

The development of irradiation processing industry brings about various types of irradiation objects and expands the irradiation requirements for better uniformity and larger areas. This paper proposes an innovative design of a permanent magnet electron beam spread system. By clarifying its operation principles, the author verifies the feasibility of its application in irradiation accelerators for industrial use with the examples of its application in electron accelerators with energy ranging from 300 keV to 1 MeV. Based on the finite element analyses of electromagnetic fields and the charged particle dynamics, the author also conducts a simulation of electron dynamics in magnetic field on a computer. The results indicate that compared with the traditional electron beam scanning system, this system boosts the advantages of a larger spread area, non-power supply, simple structure and low cost, etc., which means it is not only suitable for the irradiation of objects with the shape of tubes, strips and panels, but can also achieve a desirable irradiation performance on irregular constructed objects of large size.     

Cavity-enhanced laser cooling of solid-state materials in a standing-wave cavity

We propose a new method to cool the yb^3＋-doped ZBLANP glass in a standing-wave cavity. There are two advantages of this cavity-enhanced technique： the pumping power is greatly enhanced and the absorption of the cooling material is greatly increased. We introduce the basic principle of the cavity-enhanced laser cooling and discuss the cooling effect of a solid-state material in a cavity. From the theoretical study, it is found that the laser cooling effect is strongly dependent on the reflectivity of the cavity mirrors, the length of the solid material, the surface scattering of the material, and so on. Some optimal parameters for efficient laser cooling are obtained.     

Schottky探针研制与测试研究

利用Schottky质谱仪进行远离β稳定线核质量测量研究是九五国家大科学工程兰州重离子加速器冷却储存环上的一个重要研究方向. 简要分析了Schottky探针的工作原理和利用 Schottky质谱仪进行质量测量, 给出了对用于HIRFL CSR束流诊断与测量的Schottky探针的研制与测试结果. he mass measurement of the nuclides far from the β stability by using Schottky mass spectrometry is an important aspect of the studies on HIRFL CSR. The principle of Schottky pick up and the method and prospect of Schottky mass spectrometry are also briefly analyzed. The Schottky pick up designed for the system of diagnostics and measurement of HIRFL CSR and also the test results are given.     

HIRFL-CSR主环电子冷却模拟计算

以¹⁶O⁸⁺为例,用电子冷却模拟程序计算了冷却时间随离子能量、初始发射度、初始动量分散、离子流强以及离子电荷态的变化规律,研究了储存环在冷却段的β函数和色散函数对冷却时间的影响.     

Simulation of Electron Cooling Proces in a Storage Ring

A simulation of electron cooling process for the heavy ion beam in the proposed HIRFL Cooler-Storage Ring(HIRFL-CSR)is performed by taking into account the betatron and synchrotron oscilations of single particle.The continuous evolution of ion beam emittances and relative momentum spread are shown.Some factors that influence the cooling speed,like the space charge effect of electron beam,the dispersion in cooler section and the electron beam transverse temperature are presented.     

储存环内电子冷却过程模拟

考虑储存环内离子的横向振荡和纵向振荡的运动特性,模拟了HIRFL-CSR内重离子束的电子冷却过程.给出了离子束的横向发射度和纵向动量散度随时间连续变化的图象,由此分析了电子束的空间电荷效应,冷却段色散函数和横向电子束温度对冷却过程快慢的影响.     

HIRFL–CSRm纵向随机冷却——Palmer冷却研究

对拟在HIRFL-CSRm上建造的纵向Palmer冷却进行了数值优化计算,得出了最佳带宽、最佳增益及最短冷却时间,并运用Fokker-Planck方程进行了模拟,得到了动量散度分布函数在冷却过程中随时间的变化,从而为纵向冷却系统的具体设计和优化提供了重要的理论依据.     

Laser Cooling and Spectroscopy of Relativistic C^{3+} Beams at the ESR

We report on the first laser cooling of a bunched beam of multiply charged ions performed at the ESR (GSI) at a beam energy of GeV. Moderate bunching provided a force counteracting the decelerating laser force of one counterpropagating laser beam. This versatile type of laser cooling lead to longitudinally space-charge dominated beams with an unprecedented momentum spread of . Concerning the beam energy and charge state of the ion, the experiment depicts an important intermediate step from the established field of laser cooling of ion beams at low energies toward the unique laser cooling scheme proposed for relativistic beams of highly charged heavy ions at SIS 300 (FAIR). Funded by the German BMBF under contract number 06ML183.     

CSR电子冷却系统强流电子束包络的振荡特性

 HIRFL CSR的电子冷却系统是采用强流电子束对重离子束进行冷却。在冷却段漂移管区，由于强流电子束自身的空间电荷场和螺线管磁场的作用，使得电子束的包络发生振荡。通过求解电子束的横向包络方程，研究了强流电子束包络随电子束参数和螺线管聚焦磁场的变化关系。计算结果表明：对于不同的电子束能量和磁场，电子束包络的振荡频率也不相同；在相同的条件下，磁场越强，电子束包络振荡幅度越小，电子束能量越大，其包络的振荡频率也越快。     

HIRFL-CSR电子冷却系统

建议中的兰州重离子加速器冷却贮存环（ＨＩＲＦＬ－ＣＳＲ）拟采用电子冷却方法将重离子束冷却到３００ＭｅＶ／ｕ．最高电子能量为１６５ｋｅＶ,最大电子电流密度为０．２４４Ａ／ｃｍ２．叙述了ＣＳＲ电子冷却装置的初步方案． Electron cooling technique will be applied to the proposed Lanzhou heavy ion cooler-storage ring(HIRFL-CSR).A electron cooling device with a max-imum electron energy of 165keV and maximum current density of 0.244A/cm2 is planned to cool heavy ions up to energies of 300MeV/u.The prelimnary design for the cooling system is presented.     

Cooling and trapping of atoms and molecules by a resonant laser field

A method is suggested for simultaneous cooling and trapping of atoms and molecules in a low-pressure gas under forces caused by recoil during spontaneous or induced transitions of the particles in the resonance field of a three-dimensional standing light wave. It is shown that at light field intensities ～0.01–0.1 W/cm² it is possible to cool atoms and molecules to the resonance field photon momentum and to hold the particles in the light field volume during a long period of time. The proposed approach opens the way for high-resolution Doppler-free spectroscopy of a small number of atoms and molecules.     

A crossed focused vortex beam with application to cold molecules

We report the generation of a crossed, focused, optical vortex beam by using a pair of hybrid holograms, which combine the vortex phase and lens phase onto a spatial light modulator. We study the intensity distributions of the vortex beam in free propagation space, and the relationship of its dark spot size with the incident Gaussian beam's waist, the lens's focal length, and its orbital angular momentum. Our results show that the crossed, focused, vortex beam's dark spot size can be as small as 16.3μm and adjustable by the quantum number of the orbital angular momentum, and can be used to increase the density of trapped molecules. Furthermore, we calculate the optical potential of the blue-detuned, crossed vortex beam for MgF molecules. It is applicable to cool and trap neutral molecules by intensity-gradient-induced Sisyphus cooling, as the intensity gradient of such vortex beam is extremely high near the focal point.