Lattice optimization for the HLS-Ⅱ storage ring

The upgrade project of the Hefei Light Source (HLS), named HLS-Ⅱ, is under way, whose storage ring will be reconstructed. The HLS-Ⅱ storage ring has lower emittance and more straight sections available for insertion devices compared with the present HLS storage ring. The scan method is applied to the linear lattice optimization for the HLS-Ⅱ storage ring to get thorough information about the lattice. To reduce the computation amount, several scans with different grid spacing values are conducted. And, the calculation of the chromatic sextupole strength for the achromatic mode is included in the scan, which is useful for nonlinear lattice optimization. To better analyze the obtained solutions in the scan, the lattice properties and the variables of quadrupole strengths are statistically analyzed. And, the process of selecting solutions is described in detail, including the choice of the working point, the settings for the emittance and optical functions, and the restriction of maximum magnet strength. Two obtained lattices, one for the achromatic mode and the other for the non-achromatic mode, are presented, including their optical functions and optimized dynamic apertures.     

Conceptual design of Hefei advanced light source

The conceptual of Hefei Advanced Light Source, which is an advanced VUV and Soft X-ray source, was developed at NSRL of USTC. According to the synchrotron radiation user requirements and the trends of SR source development, some accelerator-based schemes were considered and compared; furthermore storage ring with ultra low emittance was adopted as the baseline scheme of HALS. To achieve ultra low emittance, some focusing structures were studied and optimized in the lattice design. Compromising of emittance, on-momentum and off-momentum dynamic aperture and ring scale, five bend acromat (FBA) was employed. In the preliminary design of HALS, the emittance was reduced to sub nm·rad, thus the radiation up to water window has full lateral coherence. The brilliance of undulator radiation covering several eVs to keVs range is higher than that of HLS by several orders. The HALS should be one of the most advanced synchrotron radiation light sources in the world.     

Conceptual design of Hefei advanced light source

The conceptual of Hefei Advanced Light Source, which is an advanced VUV and Soft X-ray source, was developed at NSRL of USTC. According to the synchrotron radiation user requirements and the trends of SR source development, some accelerator-based schemes were considered and compared; furthermore storage ring with ultra low emittance was adopted as the baseline scheme of HALS. To achieve ultra low emittance, some focusing structures were studied and optimized in the lattice design. Compromising of emittance, onmomentum and off-momentum dynamic aperture and ring scale, five bend acromat (FBA) was employed. In the preliminary design of HALS, the emittance was reduced to sub nm·rad, thus the radiation up to water window has full lateral coherence. The brilliance of undulator radiation covering several eVs to keVs range is higher than that of HLS by several orders. The HALS should be one of the most advanced synchrotron radiation light sources in the world.     

International Linear Collider damping ring lattice design with two wiggler sections

The International Linear Collider (ILC), which is based on super-conducting RF acceleration technology, requires the damping rings to provide beams with extremely small equilibrium emittance, and large acceptance to ensure good injection efficiency for high-emittance, and high-energy spread beam from the positron source. In order to reduce the cost for ILC damping rings, an alternative lattice which is different from the baseline configuration design has been designed with modified FODO arc cells, and the total quadrupole number has been reduced by half. At the same time, to decrease the total cost involved in constructing access shafts needed to supply power, cryogenics etc. for the wigglers and other systems, the number of wiggler sections is decreased from 8 to 4, and further to 2. This new lattice has been optimized to have a good dynamic aperture. This alternative ILC damping ring lattice design will reduce the cost largely as compared with the baseline design.     

国际未来直线对撞机(ILC)阻尼环Lattice设计

为了使国际未来直线对撞机达到高的亮度, 对撞机的阻尼环必须要有很小的自然发射度. 同时, 阻尼环要有很大的接收度来接受来自正电子注入系统的大能散、大发射度的正电子束团. 对于磁聚焦结构的设计来说, 同时达到以上要求是一件很有挑战性的工作. 为了降低ILC阻尼环的造价采用修正的FODO结构设计了可以满足ILC要求的阻尼环备用Lattice, 并使四极磁铁的数量比起ILC阻尼环BCD设计减少了一半.     

Suppression of the emittance growth induced by CSR in a DBA cell

The emittance growth induced by Coherent Synchrotron Radiation (CSR) is an important issue when electron bunches with short bunch length and high peak current are transported in a bending magnet. In this paper, a single kick method is introduced that could give the same result as the R-matrix method, but is much easier to use. Then, with this method, an optics design technique is introduced that could minimize the emittance dilution within a single achromatic cell.     

Scaling Law for Lattice Design of a Storage Ring

This paper describes and demonstrates the scaling law in the lattice design of a storage ring.When the size of the storage ring are enlarged or reduced according to a scale,the operating point ν and the beam emittance ε will be invarible.But while the energy of the storage ring is changed,the emittance will vary with the energy square.     

Collective emittance exchange with linear space charge forces and linear coupling

We show that pronounced collective nonlinear behavior is present in a beam with linear coupling and space charge as described by the complete second order moment equations. The collective effects result in a shifted and broadened resonance condition as well as saturation effects in the emittance transfer. For slow stop-band crossing either the beam evolves along a skewed matched solution with full emittance exchange or the exchange is hindered by collective space charge effects, depending on the emittance ratio and direction of crossing.     

ESRF-type lattice design and optimization for the High Energy Photon Source

A new generation of storage ring-based light sources,called diffraction-limited storage rings(DLSRs),with emittance approaching the diffraction limit for multi-keV photons by means of multi-bend achromat lattices,has attracted extensive studies worldwide.Among various DLSR proposals,the hybrid multi-bend achromat concept developed at the European Synchrotron Radiation Facility(ESRF) predicts an effective way of minimizing the emittance while keeping the required chromatic sextupole strengths to an achievable level.For the High Energy Photon Source planned to be built in Beijing,an ESRF-type lattice design consisting of 48 hybrid seven-bend achromats is proposed to reach emittance as low as 60 pm-rad with a circumference of about 1296 m.Sufficient dynamic aperture,allowing vertical on-axis injection,and moderate momentum acceptance are achieved simultaneously for a promising ring performance.     

衍射极限储存环物理设计研究进展

总结了国内外在衍射极限储存环(DLSR)物理设计方面的研究进展。为了在合理的周长范围内实现超低束流发射度,DLSR线性束流光学设计普遍采用紧凑型多二极铁消色散结构。在非线性动力学优化中,通常采用相移控制技术、解析和数值优化技术减小由色品六极铁导致的强非线性效应。DLSR束流接受度较小,主要考虑脉冲多极铁偏轴注入和快速冲击磁铁在轴注入两种注入方案。束流集体效应(尤其是束流内部散射和托歇克散射效应)随发射度降低而增强,需要采用束长拉伸、横向反馈等方法提高DLSR中束流的稳定性。     

Transport of Charged Particle Beam in Nonlinear Periodic Field

In this paper the transport of charged particle beams in nonlinear periodic fields is studied.By means of mapping method the emittance plots of beams matched with the nonlinear periodic fields can be obtained.The variance of emittance plots and envelopes of these beams are periodic and their periods are equal to the period of field.     

直线加速器中的非线性空间电荷效应和发射度增长

直线加速器中束团的非线性空间电荷效应是引起发射度增长的重要原因之一．根据计算在屏蔽筒中非均匀分布京团的空间电荷效应的普遍方法，推导了直线加速器圆波导中几种非均匀分布束团的非线性场能公式，并给出数值计算结果．讨论了由非线性所引起发射度增长．     

高电荷态ECR离子源引出束流4D 发射度测量仪设计

为了进一步探究高电荷态电子回旋共振(ECR) 离子源引出束流品质和横向相空间耦合情况,根据中国科学院近代物理研究所高电荷态离子源引出束流发射度测量需求,针对束流流强为1 eμA∼1 emA,能量范围为10∼35 keV/q 的直流或脉冲高电荷态重离子束,设计了一台实时四维Pepper-pot 发射度测量仪。该Pepper-pot 型发射度测量仪具有响应时间快和工作范围宽等特点。针对强流重离子束诊断的特点,在结构与材料选择上做了设计与优化,并对获得图像的处理方法提出了具体的解决办法。For the purpose of on-line beam quality diagnostics and transverse emittance coupling investigation of the ion beams delivered by an Electron Cyclotron Resonance (ECR) ion source, a real-time 4D Pepper Pot type emittance scanner is under development at IMP(Institute of Moden Physics, Chinese Academy of Sciences). The high charge state ECR ion source at IMP could produce CW or pulsed heavy ion beam intensities in the range of 1 eμA∼1 emA with the kinetic energy of 10∼35 keV/q, which needs the design of the Pepper Pot scanner to be optimized accordingly. The Pepper Pot scanner has many features, such as very short response time and wide dynamic working range that the device could be applied. Since intense heavy ion beam bombardment is expected for this device, the structure and the material selection for the device is specially considered during the design, and a feasible solution to analyze the pictures acquired after the data acquisition is also made.     

A method to measure the nonlinear force caused emittance growth in a RF photoinjector

Based on the multi-slit method, a new method is introduced to measure the non linear force caused emittance growth in a RF photoinjector. It is possible to reconstruct the phase space of a beam under some conditions by the multi-slit method. Based on the reconstructed phase space, besides the emittance, the emittance growth from the distortion of the phase space can also be measured. The emittance growth results from the effects of nonlinear force acting on electron, which is very important for the high quality beam in a RF photoinjector.     

Monte Carlo solution of the Boltzmann equation via a discrete velocity model

A new discrete velocity scheme for solving the Boltzmann equation is described. Directly solving the Boltzmann equation is computationally expensive because, in addition to working in physical space, the nonlinear collision integral must also be evaluated in a velocity space. Collisions between each point in velocity space with all other points in velocity space must be considered in order to compute the collision integral most accurately, but this is expensive. The computational costs in the present method are reduced by randomly sampling a set of collision partners for each point in velocity space analogous to the Direct Simulation Monte Carlo (DSMC) method. The present method has been applied to a traveling 1D shock wave. The jump conditions across the shock wave match the Rankine–Hugoniot jump conditions. The internal shock wave structure was compared to DSMC solutions, and good agreement was found for Mach numbers ranging from 1.2 to 10. Since a coarse velocity discretization is required for efficient calculation, the effects of different velocity grid resolutions are examined. Additionally, the new scheme’s performance is compared to DSMC and it was found that upstream of the shock wave the new scheme performed nearly an order of magnitude faster than DSMC for the same upstream noise. The noise levels are comparable for the same computational effort downstream of the shock wave.     

Transverse emittance blow-up from beam injection errors in synchrotrons with nonlinear feedback systems

The problem of transverse emittance blow-up from beam injection errors in synchrotrons with nonlinear feedback systems is considered. The relative emittance growth is calculated for linear and nonlinear feedback transfer functions. Effects of an increase of the damping decrement of the beam coherent oscillations and of a decrease of the coherent transverse amplitude spread of different bunches in case of the damper with a positive cubic term in the feedback transfer function are discussed. The text was submitted by the author in English.     

束内散射效应下HALF储存环物理参数的优化设计

合肥先进光源（HALF）是我国规划建设的软X射线与VUV衍射极限储存环光源（DLSR）。如何有效地实现衍射极限束流发射度,是DLSR物理设计中的核心问题之一。基于束流发射度演化方程,针对HALF预研项目的储存环物理设计方案,计算了束内散射（IBS）效应带来的发射度增长,研究了DLSR中关键参数选择对IBS造成的发射度增长的影响。研究表明,在中低能DLSR物理设计中需要综合考虑储存环的周长、同步辐射阻尼时间等关键参数,以更好地抑制束流发射度的增长。在此研究基础上,通过综合考虑用户需求与储存环物理要求,提出了HALF当前工程项目的储存环物理设计方案。进一步综合应用束团拉伸、全耦合等措施后,更高效地抑制了HALF储存环内IBS造成的束流发射度增长。     

电荷束团横向非均匀密度分布引起的发射度增长

直线加速器中电荷束团的非线性效应是导致束流发射度增长的一个重要原因。本文给出了直线加速器中几种常见的横向非均匀电荷密度分布的有限长空间电荷束团所具有的非线性自场能,得到了由束团非均匀电荷密度分布引起的发射度增长。     

Gain of harmonic generation in high gain free electron laser

In a planar undulator employed free electron laser(FEL),each harmonic radiation starts from linear amplification and ends with nonlinear harmonic interactions of the lower nonlinear harmonics and the fundamental radiation.In this paper,we investigate the harmonic generation based on the dispersion relation driven from the coupled Maxwell-Vlasov equations,taking into account the effects due to energy spread,emittance,betatron oscillation of electron beam as well as diffraction guiding of the radiation field.A 3D universal scaling function for gain of the linear harmonic generation and a 1D universal scaling function for gain of the nonlinear harmonic generation are presented,which promise rapid computation in FEL design and optimization.The analytical approaches have been validated by 3D simulation results in large range.     

THEORY OF NONLINEAR SPACE-CHARGE EFFECTS OF LOW ENERGY INTENSE CHARGED PARTICLE BEAMS

Nonlinear space-charge effects of low energy intense charged particle beams arestudied by analytical method. The relation between changes of emittance diagramsand initial current density distributions for zero temperature beams is deter-mined. Approximate methods for calculating changes of emittance diagrams for beamsof small temperature under the action of nonlinear space-charge field and increment ofeffective emittance of beams are obtained.