在速调管中空间电荷波对辐射波引起的电子束群聚的修正

 在相对论情况下,导出了速调管(klystron)和契伦柯夫(Cherenkov)器件中考虑空间电荷波影响的被调制电子束的谐波电流公式;并且分析了空间电荷波对电子束群聚的影响：在小信号时使群聚减小;在大信号时使群聚增强。     

Numerical simulation for space charge dominated beam transport

To simulate the intense bunched beam transport, a computer program LEADS-3D has been developed. The particle trajectories are analysed with the Lie algebraic method. The third order approximation of the trajectory solutions is made with space charge forces off, and the second order approximation is made with space charge forces on. The particle distribution in the 3D ellipsoid is uniform or Gaussian. Most of the conventional beam optical elements are incorporated in the code. The optimization procedures are provided to fit the beam lines to satisfy the given optical conditions.     

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.     

A study of space charge measurement

At present, there is no appropriate measurement techniques for space charge. In this paper, a U-shaped cavity device is developed as the space charge measurement device, which can be applied to transmission lines. Its design principle and calculation techniques of design parameter are also introduced. To test the space charge measurement accuracy of the U-shaped cavity device, a space charge generator is developed specifically for this experiment. The test results are excellent and show that the U-shaped cavity device can meet the design requirements. This technique is suitable for space charge measurement under transmission line normally charged work condition.     

CSR电子冷却系统电子束空间电荷效应对电子束温度的影响

 通过求解电子冷却系统中冷却段漂移管区的强流电子束产生的空间电荷场,研究了电子束空间电荷效应对电子温升的影响。结合HIRFL CSR电子冷却系统的典型参数,得到了电子在自身空间电荷场和纵向螺线管磁场组成的交叉场作用下产生的漂移速度和由此引起的附加温度大小,并指出减小电子束空间电荷效应的方法。     

Transient dynamics of packet-like space charge in low-density polyethylene at high temperatures

Among features observed in polyethylene-based materials under high fields, packet-like space charge are frequently reported but without complete theory explaining their formation and propagation. The present contribution reports transient dynamics of packet-like space charge in low-density polyethylene (LDPE) under multi-field coupling conditions based on pulsed electro-acoustic (PEA) method. The measurements were carried out under −125 kV/mm at 20 °C, 40 °C, and 60 °C. Space charge results reveal systematic occurrence of positive packet-like space charge in all samples generated at the anode and then moved toward the cathode. It is observed that higher temperatures contribute to the migration of packet-like space charge and field distortion. Based on the detailed injection model of packet-like space charge, it is shown that electrode injection plays a major role in the formation of positive packet-like space charge, the total amount and depth not only depend on the temperature, but also the negative charges dynamics. Packet-like space charge phenomena at different temperatures still feature NDM relationship with the nonlinear increase of migrate velocity as the rise of temperature.     

微脉冲电子枪的动力学研究

 利用SEEG程序模拟计算了微脉冲电子枪束流动力学问题。在不考虑空间电荷效应的情况下，模拟了在微脉冲电子枪中电子纵向聚束的过程。进而详细研究了在空间电荷效应作用及相聚过程共同作用下形成饱和电流的过程。在此基础上，给出了经过优化后的微脉冲电子枪腔型特性,使用SEEG程序对该枪进行束流动力学模拟计算。最后给出一个实验用微脉冲电子枪的物理设计。     

在速调管中空间电荷波对辐射波引起的电子束群聚的修正

在相对论情况下,导出了速调管(klystron)和契伦柯夫(Cherenkov)器件中考虑空间电荷波影响的被调制电子束的谐波电流公式;并且分析了空间电荷波对电子束群聚的影响：在小信号时使群聚减小;在大信号时使群聚增强。     

线型离子阱中空间电荷效应的理论分析

线型离子阱中的离子在射频场作用下做宏观的久期运动,久期运动频率与实验参数有关.但当离子阱中囚禁大量同种电荷的离子时,空间电荷效应会导致离子间存在相互排斥的库仑力,使离子的运动频率发生漂移.本文通过求解泊松方程计算了空间电荷产生的附加电场的解析表达式,在小振动近似下理论计算了该附加电场对久期运动频率的影响,模拟了不同离子云中心密度下久期频率的漂移,讨论了离子云的数目、温度与实验参数之间的关系.对用离子阱进行的频标实验、碰撞实验和其他方面的研究都具有重要的指导意义.     

圆锥磁绝缘传输线的横向空间电荷流

根据电磁场基本理论及电子运动守恒方程,导出圆锥传输线横向空间电荷流的数值模型和磁绝缘临界条件。通过数值计算,讨论了电压及圆锥几何结构参数等对横向空间电荷流和磁绝缘性能的影响。电压较高时,无磁场的空间电荷流较大,而磁绝缘性能更好。在传输线的三个几何参数中,几何因子对传输性能影响最大。     

无箔二极管电磁PIC模拟空间电荷限制发射模型比较

 为了在无箔二极管电磁PIC模拟中采用与电磁场自洽的空间电荷限制发射模型，对查尔特定律模型、高斯定律模型和一维二极管模型进行了理论分析和实例模拟比较。模拟结果表明，三种模型都能与电磁场自洽并反映外加磁场对发射电流的影响，但高斯定律模型受网格剖分粗细程度的影响较大且容易产生振荡，一维二极管模型在网格参数合理的情况下结果与查尔特定律模型基本接近，但需要求解超越方程，花费时间多。通过对模拟结果进行分析和比较，认为外加磁场对电子发射模型本身的影响很小，在电磁PIC数值模拟中可以不考虑，因此，查尔特定律模型更适合用于无箔二极管的电磁PIC模拟。     

空间电荷效应对阴极微凸起热不稳定性的影响

 由于金属微凸起爆炸电子发射的预发射电流密度一般都超过108 A/cm2,因此必须考虑其空间电荷效应的影响。基于金属微凸起爆炸电子发射起始过程模型,通过理论分析和数值模拟,给出了考虑预发射电流空间电荷效应的微凸起爆炸发射延迟时间随二极管平均电场的变化关系。与不考虑预发射电流空间电荷效应的结果进行对比表明,预发射电流的空间电荷效应可以显著增加金属微凸起的爆炸发射延迟时间。     

圆柱和平板磁绝缘传输线的横向空间电荷流

根据电磁场理论及电子运动守恒方程导出圆柱和平板传输线横向空间电荷流的数值模型和磁绝缘临界条件。通过数值计算,给出了传输线的几何结构参数和电压分别与空间电荷流的关系。     

Electron beam modeling and analyses of the electric field distribution and space charge effect

In electron beam technology, one of the critical focuses of research and development efforts is on improving the measurement of electron beam parameters. The parameters are closely related to the generation, emission, operation environment, and role of the electron beam and the corresponding medium. In this study, a field calculation method is proposed, and the electric field intensity distribution on the electron beam's cross-section is analyzed. The characteristics of beam diffusion caused by the space charge effect are investigated in simulation, and the obtained data are compared with the experiment. The simulation demonstrated that the cross-sectional electric field distribution is primarily affected by the electron beam current, current density distribution, and electron beam propagation speed.     

Experiment and simulation of space charge suppression in LDPE/MgO nanocomposite under external DC electric field

In this paper, space charge dynamics under DC electric field of −100 kV/mm in low-density polyethylene (LDPE) and its nanocomposite containing a small amount of MgO nanoparticles were measured using an improved pulsed electro-acoustic (PEA) system. Unlike negative packet-like space charge accumulating in LDPE films, no remarkable space charge was observed in LDPE/MgO nanocomposite films, which indicated that the introduction of MgO nanoparticles played a key role on the space charge suppression. Different with current qualitative models, this paper describes space charge suppression on the basis of simulation using the bipolar charge transport model, which featured bipolar charges injection, transport, trapping, recombination, and extraction process. It was shown from the simulation that trap depth, trap concentration, local electric field and charge injection barrier height were all significant factors on the space charge suppression process. A deeper trap depth in LDPE/MgO nanocomposites made it easier for traps to capture mobile carriers. And a larger trap concentration effectively slowed down the whole carrier movement although there seemed a trap concentration threshold less than 30 Cm⁻³, above which this effect became slight. In addition, both the high permittivity of LDPE/MgO nanocomposites and low local electric field in the vicinity of cathode led to a larger injection barrier height based on the Schottky injection law, which would tremendously block the charge injection. At last, the suppression mechanism of space charge formation in the LDPE/MgO nanocomposites is presented.     

CSR电子冷却系统电子束空间电荷效应对电子束温度的影响

通过求解电子冷却系统中冷却段漂移管区的强流电子束产生的空间电荷场,研究了电子束空间电荷效应对电子温升的影响。结合HIRFL CSR电子冷却系统的典型参数,得到了电子在自身空间电荷场和纵向螺线管磁场组成的交叉场作用下产生的漂移速度和由此引起的附加温度大小,并指出减小电子束空间电荷效应的方法。     

Effect of epitaxial crystallization on packet-like space charge characteristics in low-density polyethylene under multi-field coupling conditions

In order to study the effect of epitaxial crystallization on charge transport in low-density polyethylene (LDPE) under multi-field coupling conditions, three typical epitaxial crystallizations, namely disorder (glass substrate), crossover (isotactic polypropylene substrate), and parallel (polytetrafluoroethylene substrate), were prepared and denoted as LD-G, LD-iPP, and LD-PT, respectively. Packet-like space charge through samples was analyzed by the pulsed electro-acoustic (PEA) method. It is shown that different microscopic surface morphologies appeared in the LDPE samples with different epitaxial crystallizations, which, however, do not change the crystalline structure of the bulk. Packet-like space charge phenomena were observed and the distortion field increased with the temperature which could be attributed to the larger amount of charge injection in a shorter period. The differences of the amount and injection rate of the space charge were explained and verified considering the typical chain alignment of epitaxial crystallization, which, in our opinions, contributes to the pass over of positive charge in LD-iPP samples.     

磁绝缘线振荡器中空间电荷的调制

 首次研究了磁绝缘线振荡器中射频场（包括辐射波场和空间电荷波场）对空间电荷的调制,得到了在饱和时谐波电流一阶分量的公式。这个公式表明：考虑空间电荷波时,在小信号和辐射波与空间电荷波同相的条件下,它将增强谐波电流。在大信号时,情况不确定;谐波电流一阶分量将随二极管上电压的增加而增加,随运行频率和饱和长度的增加而减少。