关于wiggler长波自发辐射的理论分析与数值计算

电子通过wiggler产生的辐射，除了短波辐射在轴线附近也有较强的长波辐射，在与轴线夹 角1/γ处达到最大.推导出wiggler长波辐射公式，理论分析了这种辐射的特点，并且将 理论分析的结果与数值计算的结果进行了比较.对在红外波长范围内电子束通过弯转磁铁和wiggler时产生的辐射强度和光通量作了计算，结果表明wiggler下的辐射强度和光通量均强 于弯转磁铁.比较了弯转磁铁的边沿辐射、波荡器的渡越辐射和wiggler长波辐射，表明wigg ler在红外波长范围辐射的性能最优. 关键词： wiggler 波荡器 弯转磁铁 长波辐射     

混合型波荡器的3维优化

 以波荡器辐射波和共振电子能及混合型波荡器的解析计算为基础，通过3维磁场的有限元计算，在欧洲光源横向优化基础上，给出了同步辐射和自由电子激光用混合型波荡器纵向优化参数，进而给出了用于DUV FEL混合型波荡器的设计计算参数。加侧位和顶部永磁块后，峰值磁场分别提高到0.722T和0.773T，辅助以1μm量级分辨率的磁间隙调节机械系统，磁场分辨率好于10^-4T量级。     

纯永磁波荡器基波与谐波磁场的三维计算与测试

 对标淮的纯永磁波荡器进行了三维磁场的有限元计算,给出了纯永磁波荡器的基波与谐波磁场的幅值与相位,并与测试结果进行对比,结果表明,标准的纯永磁波荡器谐波磁场幅值比基波幅值低两个数量级。     

波荡器位相误差及垫补计算

 给出了波荡器位相误差的函数式, 可由磁场峰值分布直接计算波荡器位相均方根误差。给出了波荡器垫补修正场的简单解析计算式, 可根据垫片的位置、大小、厚度、磁极间隙等参数直接计算出对磁场及位相的修正 。     

波荡器位相误差对自由电子激光

对波荡器位相误差对自由电子激光小信号增益的影响进行了分析讨论。对低增益情况解析地给出了波荡器位相误差引起的增益降低因子。结果表明:与自发辐射类似增益的降低与位相误差的方差成简单的指数关系，位相误差的线性变化部分引起最大增益的位移，还表明波荡器位相误差存在时Madey定理仍然成立。对高增益情况也给出了波荡器位相误差引起的增益降低因子。     

波荡器位相误差对自由电子激光

 对波荡器位相误差对自由电子激光小信号增益的影响进行了分析讨论。对低增益情况解析地给出了波荡器位相误差引起的增益降低因子。结果表明：与自发辐射类似增益的降低与位相误差的方差成简单的指数关系，位相误差的线性变化部分引起最大增益的位移，还表明波荡器位相误差存在时Madey定理仍然成立。对高增益情况也给出了波荡器位相误差引起的增益降低因子。     

双波荡器自由电子激光理论

给出了双波荡器自由电子激光器的通用理论.在双波荡器自由电子激光器中,引入了一个周期长度非常接近主波荡器中电子束感应加速振荡周期的附加波荡器.推导出了一套自治方程组描述双波荡器中自由电子激光场演变过程,并分别给出了低增益、高增益和饱和三种情况下的解析解.研究表明,适当选择附加波荡器的参数,可以提高自由电子激光器的增益或转换效率     

可变椭圆极化波荡器相干太赫兹辐射的模拟计算

中国科学院上海应用物理研究所正在研制的相干太赫兹辐射装置是一台利用飞秒电子束团通过可变椭圆极化波荡器产生高亮度水平线极化光、垂直线极化光或各种椭圆极化光的强相干太赫兹辐射光源.本文描述了这种相干太赫兹辐射的光通量密度空间分布、光谱、极化特性和相干性等的计算方法和模拟计算结果.计算结果表明,对于能量为20MeV、发射度为15πmm·mrad、束团长度为200fs、电荷量为50pC的电子束团,在距离0.6m长的波荡器中心1m处可获得光通量密度峰值达2×10⁹photons/mm²/0.1%bw量级的太赫兹水平线极化光或圆极化光     

超长波荡器系统相位匹配的理论研究

波荡器是自由电子激光装置的核心部件, 如何实现超长波荡器段间相位的匹配是实现高增益X射线自由电子激光饱和输出的必要条件. 本文以北京大学973项目红外SASE自由电子激光实验装置波荡器的研制为模型, 给出了比较完整的相位匹配理论的描述, 进行了实现相位匹配的理论计算, 给出了实现段间相位匹配的具体端部结构和参数, 通过模拟计算表明, 当磁极调节范围为±0.5mm时可获得±100°的相位调整量. 该理论工作为今后高增益X射线自由电子激光超长波荡器系统总体方案的确立奠定了基础.     

波荡器辐射的空间分布与接受孔的选择

对波荡器谐波辐射的空间分布作了分析，并对上海同步辐射装置（SSRF）的波荡器U3．65辐射强度的空间分布进行数值模拟研究，在此基础上，探讨了波荡器辐射的接受孔尺寸选择，并模拟计算了SSRF U3．65的孔传输通量和功率。     

The prototype of new variable period undulator for Novosibirsk free electron laser

To improve the parameters of the second stage Novosibirsk free electron laser we plan to replace the existing electromagnetic undulator by permanent-magnet variable-period undulator (VPU). The VPUs have several advantages compared to conventional undulators, which include wider radiation wavelength tuning range and an option to increase the number of poles. Both these advantages will be realized in the new undulator under development in Budker INP. There are some technical problems, which have to be solved before this idea can be implemented in practice. To check the solution of these problems we designed and manufactured a small undulator prototype, which has just several periods. In this paper, the results of mechanical and magnetic measurements of this undulator prototype are presented and compared with simulations.     

用于THz源的混合型波荡器数值模拟

波荡器是基于自由电子激光的小型THz源关键器件, 其可调节的周期性磁场结构与两端的光腔配合, 使得穿越的电子束产生带增益的相干辐射, 最终达到THz源所需要的功率. 同纯永磁结构相比, 混合型波荡器通过软铁材料调节由永磁块磁化方向性差异导致的磁场分布误差, 同时可提供更高的场强. 本文针对小型THz源需求, 对混合型波荡器进行了相关物理设计. 在解析方法分析的基础上, 采用OPERA3D/TOSCA有限元分析软件, 对波荡器进行了三维磁场数值模拟和积分场优化. 通过对波荡器端部结构的调整, 优化后模型的一次场积分(导向误差)小于0.01Gs﹒m, 电子轨迹偏移小于0.02mm.     

上海深紫外自由电子激光装置波荡器磁场调整

 在对上海深紫外项目的波荡器建造过程中，应用亥姆霍兹线圈系统测量了全部单磁块，并使用模拟退火法对磁块进行组合排序优化，使反映磁场的成本函数下降了3个数量级。对一段波荡器进行了多次测量、调整，使积分场、峰峰值误差、位相误差等各项指标达到设计要求。     

In situ characterization of undulator magnetic fields

A new in situ method is proposed to characterize the peak magnetic fields of undulator sources. The X‐ray beam emitted by the HU52 Apple‐2 undulator of the DEIMOS beamline of the SOLEIL synchrotron is analyzed using the Bragg diffraction of a Si(111) crystal. Measurements over the undulator gap range in linear horizontal polarization are compared with simulations in order to rebuild the Halbach function linking the undulator gaps to their peak magnetic fields. The method presented also allows information about the electron beam to be obtained.     

Investigation of parameters of undulators with permanent magnets

Investigations of a hybrid type undulator for the terahertz FEL with ferrite magnets were carried out. The study began with an undulator simulation in FEMLAB environment and measurements on the created model. The work presents the results of study of the dependence of magnetic field on the height of the magnetic elements and study of the magnetic induction depending on the ratio of the width of magnetic elements to the distance between them. It is shown that the hybrid undulator scheme allows selecting the optimum parameters of the undulator. The obtained results can be used for choosing the optimum parameters of undulators of the terahertz-range FEL.     

CAEPXFEL波荡器束线初步物理设计

中国工程物理研究院计划开展XFEL光源的研制,主要通过电子束在波荡器中的辐射特性产生硬X射线。根据理论分析和数值模拟,在电子束最高能量可达12GeV的实际条件下,初步设计了一条间隙可调的真空外波荡器束线,波荡器分为25段,每段长3.86m,间隙7~10mm,周期长度25.4mm,磁场0.636~1.03T,束线总长120m左右,辐射光子能量为3~25keV。     

An analysis of undulator optimization in self-seeding free electron lasers

A simple analysis is given for the optimum length of undulator in a self-seeding free electron laser(FEL).The obtained relations show the correlation between the undulator length and the system parameters.The power required for the seeding in the second part of the undulator and the overall efficiency of monochromatizating the seeding determine the length of the first part of the undulator;the magnitude of seeding power dominates the length of the second part of the undulator;the whole length of the undulator in a self-seeding FEL is determined by the overall efficiency for getting coherent seed,and is about half as long again as that of SASE,not including the dispersion section.The requirement of the dispersion section strength is also analyzed.     

Theoretical and numerical analysis of electron motion in a three-dimensional undulator field

The results of numerical calculations of electron trajectories in the three-dimensional ideal magnetic field of an undulator are given. These trajectories can be regarded as exact results in our case. It is shown that, in a series of cases, results of the calculation of trajectories using approximate analytical formulas significantly differ from those obtained using numerical methods. The obtained numerical results show that the influence of the undulator on the dynamics of the electron beam is very complicated and cannot be reduced only to the focusing properties of the undulator magnetic field or wiggler.     

Calculation and analysis of the magnetic field of a linearly tapered undulator

There is an empirical formula describing the relationship between the peak magnetic field and the undulator structure parameters for a uniform-parameter hybrid undulator.In this paper, we investigate the relationship for a linearly tapered undulator through numerical calculation by using the code RADIA, and check it with the empirical formula.The results imply that this empirical formula is also effective for linearly tapered undulators at a big enough scope for the requirements of normal FEL experiments.Therefore, for a linearly tapered undulator,we can use the empirical formula to design the variation of the undulator gap.For the tapering rate demanded by normal FEL experiments, the gap of a linearly tapered undulator increases almost linearly, and the tapering rate will keep constant while adjusting the undulator gap with the same variation for each undulator period.