Mode control in a high-gain relativistic klystron amplifier

Middle cavities between the input and output cavity can be used to decrease the required input RF power for the relativistic klystron amplifier.Meanwhile higher modes,which affect the working mode,are also easy to excite in a device with more middle cavities.In order for the positive feedback process for higher modes to be excited,a special measure is taken to increase the threshold current for such modes.Higher modes' excitation will be avoided when the threshold current is significantly larger than the beam current.So a high-gain S-band relativistic klystron amplifier is designed for the beam of current 5 kA and beam voltage 600 kV.Particle in cell simulations show that the gain is 1.6×105 with the input RF power of 6.8 kW,and that the output RF power reaches 1.1 GW.     

Great progress in developing 500 MHz single cell superconducting cavity in China

Superconducting cavities have been adopted in many kinds of accelerator facilities such as synchrotron radiation light source, hard X-ray free electron laser linac, colliders and energy recovery linacs (ERL). The 500 MHz superconducting cavities will be a candidate to be installed in the high current accelerators and high current ERLs for their large beam aperture, low higher order modes impedance and high current threshold value. This paper presents great progress in the whole sequence of developing 500 MHz superconducting cavity in China. It describes the first in-house successful development of 500 MHz single cell superconducting cavity including the deep-drawing of niobium half cells, electron beam wielding of cavity, surface preparations and vertical testing. The highest accelerating gradient of the fabricated cavity #SCD-02 higher than 10 MV/m was obtained while the quality factor was better than 4×10⁸ at 4.2 K, which has reached the world level of the same kind of cavities.     

Mode control in a high gain relativistic klystron amplifier with3 GW output power

Higher mode excitation is very serious in the relativistic klystron amplifier, especially for the high gain relativistic amplifier working at tens of kilo-amperes. The mechanism of higher mode excitation is explored in the PIC simulation and it is shown that insufficient separation of adjacent cavities is the main cause of higher mode excitation. So RF lossy material mounted on the drift tube wall is adopted to suppress higher mode excitation. A high gain S-band relativistic klystron amplifier is designed for the beam current of 13 kA and the voltage of 1 MV. PIC simulation shows that the output power is 3.2 GW when the input power is only 2.8 kW.     

Transferring entangled states of photonic cat-state qubits in circuit QED

We propose a method for transferring quantum entangled states of two photonic cat-state qubits(cqubits)from two microwave cavities to the other two microwave cavities.This proposal is realized by using four microwave cavities coupled to a superconducting flux qutrit.Because of using four cavities with different frequencies,the inter-cavity crosstalk is significantly reduced.Since only one coupler qutrit is used,the circuit resource is minimized.The entanglement transfer is completed with a singlestep operation only,thus this proposal is quite simple.The third energy level of the coupler qutrit is not populated during the state transfer,therefore decoherence from the higher energy level is greatly suppressed.Our numerical simulations show that high-fidelity transfer of two-cqubit entangled states from two transmission line resonators to the other two transmission line resonators is feasible with current circuit QED technology.This proposal is universal and can be applied to accomplish the same task in a wide range of physical systems,such as four microwave or optical cavities,which are coupled to a natural or artificial three-level atom.     

L波段相对论速调管的3维粒子模拟

采用高频场软件对输入腔、中间腔和输出腔的高频特性进行冷腔分析。利用3维粒子模拟软件对L波段强流相对论速调管进行整体建模,模拟分析了整管工作情况,并讨论了3维模型中输入、输出耦合结构的引入对结果的影响。模拟参数为:电子束电压500 kV,电流5 kA,微波频率1.3 GHz,输出平均功率600MW,效率约25%。     

S波段3 GW 相对论速调管放大器的设计

利用速调管放大器中间腔可以提高器件放大增益,并达到降低微波注入功率的要求,同时针对高功率微波相对论速调管放大器的特点,建立了一个带有两个中间腔的S波段相对论速调管放大器,采用特殊结构克服了多个中间腔引入的高次模影响,模拟上实现了在kW量级微波注入条件下,基波电流调制深度达到80%,输出微波3.3 GW。     

kW级功率驱动的锁相高功率微波发生器

针对kW级微波驱动的锁相GW高功率微波,设计了一个高增益(大于50 dB)四腔相对论速调管放大器(RKA)。模拟表明,在此条件下高次模振荡严重影响器件的锁相实现。由此,将RKA结构与正反馈振荡电路结合起来,建立相应的等效电路来研究这种高次模激励的物理过程(即高次模的激励与中间腔之间耦合强度的相关性)。在高次模振荡的等效电路(即正反馈振荡电路)中,用衰减电阻代替结构中的微波吸收层来研究高次模振荡的抑制机理,衰减电阻通过对反馈过程的控制,提高了电路的自激振荡起振电流。在结构上按照衰减电阻要求设计了微波吸收层,将高次模振荡的起振电流提高到大于器件的工作电流,实现了高增益(约60 dB)条件下高次模激励的抑制。模拟获得了4 kW微波功率驱动的2.3 GW锁相高功率微波,增益接近60 dB。在LTD加速器平台的实验结果表明:注入微波由固态RF种子源提供(功率10 kW),输出功率达到1.8 GW,增益为52.6 dB,90 ns内输入和输出微波的相对相位差小于±10°,实验上实现了kW级注入微波对GW高功率微波的相位锁定。     

基于天线辐射理论构建微波混沌腔的随机耦合模型

为了能够快速有效地求解电大复杂腔体(微波混沌腔)的电磁耦合问题, 文中采用统计电磁学方法研究了该类腔体电磁散射的统计特征. 首先, 根据天线辐射理论, 利用电磁场的本征模展开式建立了腔体耦合输入阻抗表达式. 其次, 利用波动混沌理论和概率统计方法进一步推导出了微波混沌腔的随机耦合模型. 该方法简单并且可以直接推导出三维模型. 最后, 构建了一个三维Sinai微波混沌腔并进行数值仿真实验, 其仿真实验结果与随机耦合模型计算结果的统计特征基本一致. 重要的是, 该模型与复杂腔体的细节特征无关, 能够快速有效地预测微波混沌腔的敏感耦合问题. 关键词： 统计电磁学 微波混沌腔 输入阻抗 随机耦合模型     

长脉冲相对论速调管中束流脉冲缩短的研究

介绍L波段长脉冲相对论速调管放大器研究中，长脉冲强流相对论电子束(IREB)经过输入腔和中间腔间隙后的脉冲缩短问题.分析了造成束流脉冲缩短的主要机理之一是高频系统的角向非均匀模式与电子束相互作用而使得束流扩散形成的，并经过实验参数的调节，减轻了长脉冲IREB的脉冲缩短问题，得到了较强的基波调制电流.从长脉冲加速器引出500 kV，3.5 kA，1.3 μs的电子束，经过输入腔和两个群聚腔的调制后，得到了2.0 kA的基波调制电流，束流脉冲宽度由0.3 μs增加到1 μs，束流脉冲缩短问题得到明显减轻. 关键词： 相对论速调管放大器 脉冲缩短 高功率微波 长脉冲强流相对论电子束     

Linear and nonlinear operation regimes of a laser with a transverse inhomogeneity of the cavity length and angular selection

Gaussian modes and pumping threshold values are found for a laser with spherical mirrors and angular selector. It is shown that, compared to the case of plane-parallel mirrors, the threshold overshoot is proportional to the square root of the mirror curvature. In the absence of the Kerr nonlinearity of the medium, exceeding the oscillation threshold of a stable cavity causes steady-state regimes to be established, whereas, for unstable cavities, pulsation regimes arise in a wide range of parameters. Calculations confirm the formation of moving localized structures in a laser with misaligned plane mirrors.     

Multi-pass,multi-bunch beam breakup for 9-cellTesla cavities in the ERL

Generally, the Energy Recovery Linac (ERL) needs specially designed high current superconducting RF cavities. In this paper, the threshold current of beam breakup for compact ERL facilities with 9-cell Tesla type cavities are investigated. The results show that it is feasible to adopt the 9-cell Tesla cavity for compact ERL test facilities with just a few cavities and beam current around 10 mA.     

含有吸收介质的突变结构腔体场匹配分析

采用分区求解场及边界场匹配方法推导出含有吸收介质波导的色散方程及突变结构高频腔体混合模式的场匹配方程。将解析分析与数值计算结合，对回旋速调管放大器高频腔体进行了数值计算，研究了吸收层对波导传播、衰减特性及谐振腔的谐振特性、损耗特性、Q值、场分布的影响。给出了数值模拟主要结果。 关键词： 吸收介质 场匹配 混合模 谐振腔 高功率微波     

A 30-MW Gyroklystron-Amplifier Design for High-Energy Linear Accelerators

Microwave tubes required to drive future 1-TeV linear colliders have challenging requirements, including 300-MW peak power at wavelengths near 3 cm. It is believed that gyrotrons have good potential for development into the high peak power, high gain, efficient amplifier required for this application. Presented here is the detailed design for a 3-cm gyroklystron amplifier at a peak power level of ~ 30 MW. This power level is approximately three orders of magnitude above the gyroklystron state of the art, and a 30-MW experimental study will be a crucial step toward achieving the 300-MW goal. Novel problems associated with a high-energy (? ~ 2) gyrotron beam are considered in detail. A new partially self-consistent nonlinear analysis is described and subsequently used to design the gyroklystron circuit. Based on the TE011 mode in cavities of circular cross section, stable operation is anticipated; the current is well below the threshold at which an unbunched electron beam would excite oscillations in the cavities and the drift spaces are designed to heavily load modes which are not cut off.     

Starting energy and current for a large diameter finite lengthbackward wave oscillator operated at the fundamental mode

We study the starting conditions for a large diameter (diameter/wavelength=4.8) finite length backward wave oscillator designed for 24-GHz operation at the fundamental TM₀₁ mode. This geometry is very promising for high power handling capability. We analyze two separate threshold conditions. First, finite length effects give rise to a threshold in electron beam energy below which oscillations cannot be sustained at any beam current. The second is the more familiar current threshold known as a start current. It is also found that the growth rate for the fundamental mode can be much larger than those of other higher order modes thus leading to coherent operation of large diameter sources free from mode competition     

Mode conversion in a Gyrotron at a waveguide-taper junction

The output power levels of Gyrotron II are very much higher than those predicted when one assumes that a single waveguide mode exists throughout the cavity and output section. In this paper we demonstrate the importance of mode conversion at the point where the uniform waveguide meets the first down-taper.The method of calculating the mode conversion used here is superior to many that appear in the literature. It uses the correct boundary conditions, it treats the wave magnetic field fully and, especially important in relation to cavities, it is applicable to waveguide modes near cutoff.     

C波段新型渡越管模拟研究

 在三腔渡越管的基础上设计了一种工作在C 波段的新型低阻轴向六腔渡越管,其阻抗为15 Ω左右,采用同轴输出。该器件采用大面积发射阴极,无须外加磁场,结构简单紧凑。采用2.5维PIC软件对该器件进行了2维数值模拟,在输入电压为483 kV、电流为32.5 kA的条件下,输出微波平均功率达到3.0 GW,主频为3.75 GHz,微波模式为TEM模。微波功率效率大于19%,比普通低阻抗器件有明显提高。     

回旋速调管输入耦合器分析与设计

 对Ka波段工作模式为TE₀₁模和TE₀₂模的两种回旋速调管的输入耦合器进行了详细研究,利用模式匹配理论和HFSS建模仿真计算了内圆柱腔和外同轴腔的尺寸;提出了一种与软件计算相结合的模式纯度计算方法,对内腔工作模式纯度、内外腔能量分数进行了计算。内腔侧面上的耦合缝的大小、角向位置都直接决定外同轴腔内的TE_m11模向内圆柱腔的TE_0n1模的耦合情况。针对耦合缝与输入波导成45°和0°分布两种情况,研究了耦合缝长、宽和角向偏移,以及内外腔频差对频率、Q值及内腔能量分数的影响。分别设计了Ka波段内腔工作模式为TE₀₁₁、外腔为TE₄₁₁和内腔TE₀₂₁、外腔TE₈₁₁的两种输入耦合器,并利用矢量网络分析仪对内腔工作模式为TE₀₁₁的耦合器进行了冷高频测量,测得频率为34.257 GHz,与计算结果34.300 GHz仅相差43 MHz。     

Investigation of higher spanwise Helmholtz resonance modes in slender covered cavities

Cavity aeroacoustic noise is relevant for aerospace and automotive industries and widely investigated since the 1950s. Most investigations so far consider cavities where opening length and width are of similar scale. The present investigation focuses on a less investigated setup, namely cavities that resemble the door gaps of automobiles. These cavities are both slender (width much greater than length or depth) and partially covered. Furthermore they are under influence of a low Mach number flow with a relatively thick boundary layer. Under certain conditions, these gaps can produce tonal noise. The present investigation attempts to reveal the aeroacoustic mechanism of this tonal noise for higher resonance modes. Experiments have been conducted on a simplified geometry, where unsteady internal pressures have been measured at different spanwise locations. With increasing velocity, several resonance modes occur. In order to obtain higher mode shapes, the cavity acoustic response is simulated and compared with experiment. Using the frequency-filtered simulation pressure field, the higher modes shapes are retrieved. The mode shapes can be interpreted as the slender cavity self-organizing into separate Helmholtz resonators that interact with each other. Based on this, an analytical model is derived that shows good agreement with the simulations and experimental results.