反向导引磁场自由电子激光中平衡态电子相轨道

考虑电子束自身场情况下，给出了反向导引磁场自由电子激光中平衡态电子运动的一种正则描述。证明了在可积极限下，不动点附近相轨道的稳定性；并采用美国麻省理工学院的反向导引场自由电子激光实验参数，计算了不同束流强度下的Ｐｏｉｎｃａｒé截面。结果表明，即使自身场相当强（束流强度达到６０００Ａ），平衡态电子的相轨道仍保持其规则性，相空间没有出现混沌，这说明在自由电子激光器中，利用反向导引磁场可以获得比传统的采用正向导引磁场更好的电子束质量，从而改善器件的输出性能。 关键词：     

反向导引场自由电子激光器中平衡态电子的类熵量

用非线性数值分析方法，计算反向导引场自由电子激光器中平衡态电子的类熵量。结果表明：其值比正向导引场时更小，对应的平衡态电子束质量，一般都优于正向导引场情况下的电子束质量；而在反谐振点，类熵量剧增，电子束质量严重变坏，从计算得到的结论，与美国麻省理工学院的实验结果定性上一致。 关键词：     

短波长自由电子激光器电子运动特性研究

短波长自由电子激光器的电子束在摇摆器中的传输通道长而狭窄, 须得电子具有良好的运动特性, 避免在传输过程中产生横向发散. 本文研究短波长自由电子激光器中超相对论电子在磁场具有横向分布的平面摇摆器中的三维运动特性, 用逐次逼近法推导相对论运动方程的解析表达式, 非线性数值计算模拟传输过程, 采用科尔莫 戈罗夫熵 方法分析运动的稳定性. 结果表明: 摇摆器磁场除使电子做周期性摇摆运动外, 还迭加了偏离轴线的横向漂移运动, 在没有外置的磁场聚焦系统情况下, 电子将偏离轴线横向发散; 但是, 恰当选取电子的横向初始速度, 可有效地防止电子运动的横向发散, 即使没有外置的磁场聚焦系统, 也能在长达10 m 的摇摆器中顺利传输, 横向位移范围不超过0.09 mm, 而且其运动是稳定的. 关键词： 短波长自由电子激光器 平面摇摆器 超相对论电子运动 运动稳定性     

具有导向磁场可变摆动器自由电子激光器及其设计方法

通过求解相对论电子的运动方程,根据电子在聚束势阱中运动状态的变化,讨论了在具有导向磁场可变摆动(Wiggler)场中电子与辐射场之间相互作用的物理过程.计算结果表明,当摆动场强沿电子束的传播方向递增,而导向磁场场强递减时,可以提高自由电子激光器的能量转换效率.     

渐变摇摆场拉曼自由电子激光实验

采用渐变摇摆场技术进行了拉曼型自由电子激光实验,获得了最大辐射功率31MW、波长8～10.4mm的微波辐射输出,电子能量转换效率达9.68％。实验表明,对强流低能(0.45MeV)电子束拉曼自由电子激光器,渐变摇摆场比恒定摇摆场的自由电子激光器能量转换效率高2.6倍。     

摆动器场误差对自由电子激光器自发辐射谱的影响

在考虑平面型摆动器（Ｗｉｇｇｌｅｒ）场误差△Ｂ（ｚ）的情况下，求解电子在磁场中运动的洛仑兹（Ｌｏｔｅｎｔｚ）方程，得到场误差对电子横向速度的改变，然后作傅里叶变换即为电子自发辐射谱的改变，并讨论了各种场误差对自由电子激光器自发辐射谱的影响，选择北京自由电子激光器（ＢＦＥＬ）参数，进行模拟，最后确定出各种场误差的可接受条件。     

不用导引磁场的虚火花束源拉曼自由电子激光器的数值计算

采用非线笥模型对拉曼自由电子激光器进行数值模拟,发现虚火花束源自由电子激光器苛以去掉导引磁场,用小周期摇摆器,实现器件的小型化和高功率。     

层流平衡相对论电子束束流特性的数值计算

通过对层流平衡相对论电子的运动微分方程组进行数值求解,得到正则角动量在pθ=0,pθ=const.和pθ∝r2三种情况下,束流的传输特性.针对pθ=0的相对论实心电子束,利用数值求解得到了与解析方法一致的结果,从而验证了数值方法的合理性;针对无法用解析方法求解的pθ=0环行电子束、pθ=const.和pθ∝r2的情况,利用数值方法得到了束流和空间极限电流关于波导、电子束结构和二极管电压等参数的变化规律及对轴向导引磁场的要求.计算结果表明:当相对论电子束以层流平衡态传输时,环行束较实心束具有更高的空间极限电流和更低的轴向导引磁场,且当阴极发射面与导引磁场的磁场线垂直时,维持电子束层流平衡所需的轴向导引磁场最低;电子束在有限磁场导引下以层流平衡态传输时,空间极限电流明显大于无限大磁场导引下一维近似的情况.利用数值方法对层流平衡相对论电子束进行理论研究,更全面地揭示了电子束在正则角动量满足不同条件时的束流特性,为设计新型结构的高功率微波器件提供理论参考.     

圆极化变参数摇摆器中电子的稳定性研究

采用圆极化变参数摇摆器能延缓自由电子激光器件进入饱和,提高束波互作用效率。通过计算电子运动的柯尔莫哥洛夫熵来研究变参数摇摆器自由电子运动的稳定性。研究结果表明:摇摆器无论采用正坡度还是负坡度,平衡态电子的柯尔莫哥洛夫熵值均小于零,稳定性均比无坡度时好,但电子的运动轨迹趋于发散;当有激光场存在时,正坡度破坏电子运动的稳定性,负坡度改善电子运动的稳定性。其结果为电子运动稳定性的进一步研究提供参考。     

高斯束激光摇摆场中的电子运动轨道分析

对高斯束激光摇摆场中的电子运动轨道进行了分析．推导出轴向导引磁场与反向传播的激光摇摆场作用下的单粒子电子运动轨道，并对轨道的稳定性进行了分析．发现当瑞利长度较大时，得到的结果与平面电磁波摇摆场的结果相一致．与静磁摇摆场的自由电子激光相似，在激光摇摆场中的电子轨道也存在两类分立轨道，但是，与静磁摇摆场不同的是，这两类轨道都是稳定的 关键词：     

Gain of a free-electron laser in the Magneto-Compton regime

The gain of a free-electron laser in the presence of a guide magnetic field is calculated for the Raman and Compton regimes. It is found that the external magnetic field enhances the gains, and that for non-monoenergetic relativistic electron beams with a guide magnetic field the Compton process can become important.     

Amplification and superradiant emission from a 33.3 GHz freeelectron laser with a reversed axial guide magnetic field

A new regime of free-electron laser (FEL) operation using a helical wiggler field and a reversed axial guide magnetic field is reported. The orientation of the axial field is such as to oppose the electron rotation imparted by the helical field. The 33.3-GHz FEL amplifier is driven by a mildly relativistic electron beam (750 kV 300 A, 30 ns) and generates 61 MW of radiation with a 27% conversion efficiency. The results are compared with those obtained when the axial guide field is in its conventional orientation, where considerable loss of power and efficiency is observed     

Focusing effect and modulation mechanism of the beam self-fields on the electronʼs Larmor rotation in a free-electron laser with an axial guide magnetic field

It is revealed that at anti-resonance in a free-electron laser with a reversed guide magnetic field, the beam self-fields can act to focus the beam transport and prevent the electrons from striking on the waveguide wall before the wiggler exit. It is found that the focusing function results from the modulation of the periodically-varying self-field tangential and normal components on the electron?s Larmor rotation. As a potential application, substantial improvement of the wave gain and output power at anti-resonance could be expected, since the beam current loss can be obviated by using this modulation mechanism.     

An exact solution of the relativistic equation of motion of acharged particle driven by a circularly polarized electromagnetic waveand a constant magnetic field

An exact solution is found for the relativistic equation of motion of a charged particle driven by a circularly polarized electromagnetic wave and a constant magnetic field. The explicit expressions of particle position and velocity are obtained for certain initial conditions. The results are of interest to the interaction of the high-power laser with the magnetized plasma, electromagnetically pumped free-electron laser with a guide magnetic field, propagation of electromagnetic wave signals through a re-entry plasma sheath in the presence of a strong magnetic field, and magnetic confinement plasmas     

Self-field effects on small-signal gain in two-stage free-electron lasers

Self-field effects, induced by charge and current densities of the electron beam, on gain in two-stage free-electron laser with nonuniform guide magnetic field is presented. The gain equation for small-signal has been derived analytically. The results of numerical calculations show a gain decrement for group I orbits and a gain enhancement for group II orbits, due to the self-field effects. The wiggler-induced self-magnetic field has a diamagnetic effect for group I orbits, whereas for group II, it has a paramagnetic effect. It is also found that using a nonuniform guide field, rather than a uniform one, causes the gain to increase.     

The effects of self-fields on the electron trajectory and gain in a two-stream electromagnetically pumped free-electronlaser with axial guiding field

A theory of a two-stream free-electron laser in a combined electromagnetic wiggler (EMW) is developed, in which we use an axial-guide magnetic field and take into account the effects of the self-fields. The electron trajectories and the small signal gain are derived. The stability of the trajectories, the characteristics of the linear-gain, and the normalised maximum gain are studied numerically. The results show that there are nine stable groups of orbits in the presence of self-fields instead of seven groups reported in the absence of the self-field. It is also shown that the normalised gains of four groups of the orbits are decreasing and those for the rest of them are increasing with growing \barΩ₀. Furthermore, it is found that the two-stream laser with self-field enhances the maximum gain in comparison with the single stream case.     

Nonlinear simulation of a high-power, collective free-electronlaser

Results obtained with the three-dimensional nonlinear analysis and simulation code, ARACHNE, and a recent 33.4-GHz, collective, free-electron laser (FEL) amplifier experiment are compared. The experiment has demonstrated power levels of 61 MW (≈27% efficiency) without recourse to tapered magnetic fields, using a 750-keV/300-A electron beam with a nominal axial energy spread of 1.5% propagating through a cylindrical drift tube in the presence of a helical wiggler and an axial guide magnetic field. Significant differences in the character of the emission were found, depending on the direction of the guide magnetic field. When the wiggler and guide fields were parallel, observed power levels reached approximately 4 MW for both the strong and weak guide field regimes, but vanished in the neighborhood of the magnetic resonance. However, the maximum power was observed in the reversed field case when the wiggler and guide fields were antiparallel. In this case, no resonant enhancement in the transverse velocity is expected to occur; however, a significant reduction in the output power occurred in the neighborhood of the antiresonance. The ARACHNE simulation is in substantial agreement with the experiment     

Tunable compact high power far-infrared grating free-electron laser

The linear and nonlinear operation of a multiwave grating free-electron laser is described. The radiation is generated by the passage of an annular electron beam through a coaxial waveguide, the central conductor being in the form of a corrugated cylinder. The model includes the effects of self-field forces, beam emittance and gyromotion of electrons in a guide magnetic field. The efficiency is determined by numerical simulation and compared with analytical estimates. A compact source utilizing, for example, a high brightness beam from a carbon fibre electron gun, that is tunable in the wavelength band 35-55 μm with output in the kilowatt range, is shown to be feasible