Analysis of π-mode Stopband in an Asymmetric Millimeter-Wave Helical Slow-Wave Structure

A simple closed form formula for the estimation of π-mode stopband in an azimuthally asymmetric helical slow-wave structure (SWS) was developed following coupled-mode analysis of multiple reflections of the degenerate space-harmonic modes from the support rod discontinuities. The method incorporates the effects of circuit loss, and accrues the accuracy of 3D electromagnetic analysis by allowing the use of dispersion characteristics obtainable from any standard electromagnetic modeling. The formula is simple and amenable to easy computation, even using a scientific calculator, and without resorting to exhaustive and time-intensive numerical computation, and at the same time, without sacrificing the accuracy in results. The analysis was benchmarked against published results and excellent agreement observed. The analysis was further used for demonstrating the stopband phenomenon for a typical millimeter-wave helical slow-wave structure. Compared to low frequency structures, the stopband phenomenon for a millimeter-wave structure was found to be more pronounced, and an interesting inference was drawn as to how asymmetry induced stopband might be made to advantage in combating π-mode instabilities in a millimeter-wave traveling-wave tube.     

A novel slotted helix slow-wave structure for high power Ka-band traveling-wave tubes

A novel slotted helix slow-wave structure （SWS） is proposed to develop a high power, wide-bandwidth, and high reliability millimeter-wave traveling-wave tube （TWT）. This novel structure, which has higher heat capacity than a conven- tional helix SWS, evolves from conventional helix SWS with three parallel rows of rectangular slots made in the outside of the helix tape. In this paper, the electromagnetic characteristics and the beam-wave interaction of this novel structure operating in the Ka-band are investigated. From our calculations, when the designed beam voltage and beam current are set to be 18.45 kV and 0.2 A, respectively, this novel circuit can produce over 700-W average output power in a frequency range from 27.5 GHz to 32.5 GHz, and the corresponding conversion efficiency values vary from 19% to 21.3%, and the maximum output power is 787 W at 30 GHz.     

螺旋线行波管返波自激振荡的研究

 在2维小信号模型的基础上，分析了均匀和周期永久聚焦磁场对抑制返波自激振荡的影响。研究结果表明：改变聚焦磁场的幅值或周期来增加起振长度是可能的， 而且不会改变基波的互作用条件。与此同时，对起振长度、初始非同步速度参量随皮尔斯增益参量、空间电荷参量、损耗参量等的变化，以及在超宽带行波管中当存在两个或多个角向非对称空间谐波时,起振长度、初始非同步速度参量随周期永久聚焦磁场的变化进行了研究。优化设计聚焦磁场、电子注和螺旋线慢波系统的参量可以对螺旋线行波管的稳定性分析提供必要的依据。     

Theoretical Study for Folded Waveguide Traveling Wave Tube

A wideband folded waveguide traveling-wave tube (TWT) amplifier has advantages of simpler coupling structures and robust structure over the conventional helix TWT. The phase velocity of waves in folded waveguide is slowed down to the velocity of electron beam. Slow-wave interaction with the electron beam in folded waveguide is studied in a linear fashion. For a cold beam, the linear theory predicts a gain of 2 dB/cm and a bandwidth of 37% at the center frequency of 14 GHz. A closed algebraic dispersion relation for the frequency and the axial phase shift per period is obtained using an equivalent circuit model. Numerical solution calculated from the dispersion relation and three-dimensional electromagnetic code, HFSS simulations predict a mode coalescing in the folded waveguide. And a theoretical phase velocity prediction of the electromagnetic wave in this circuit is verified by HFSS simulations.     

A comparison of L-band helix TWT experiments with CHRISTINE, a 1-Dmultifrequency helix TWT code

Extensive experimental measurements were carried out to test the accuracy of the parametric helix traveling-wave tube (TWT) code, CHRISTINE. The model is one-dimensional, with beam electrons represented as rigid disks. Multifrequency interactions are supported and the RF circuit can be optionally represented with cold-test data, a sheath helix model, or a recently implemented tape helix model. Simulations using the tape helix model are shown to be in good agreement with experimental measurements of an L-band TWT over a broad (250-MHz) frequency range. In the intermediate and saturated power regimes, the modeled and measured TWT gain versus frequency agree to better than 0.4 dB, with deviations explained by strong reflections at the output window that are not accounted for in the code. Single-tone experimental and simulated drive curves agree to better than 1 dB in the small- and large-signal regimes; relative phase shift simulations agree to within experimental measurement accuracy in the small-signal regime and to within 75% in the large-signal regime. Two-tone experimental and modeled data exhibit similarly good agreement, with CHRISTINE accurately predicting the effect of frequency-dependent gain variations on the TWT output response and third- and fifth-order intermodulation products     

螺旋线行波管慢波结构设计及注波互作用模拟

通过模拟计算,分析螺旋线内径和螺距变化对色散和耦合阻抗的影响,优化慢波结构,初步设计了Ku波段螺旋线行波管慢波结构。模拟行波管输入输出结构,得到输入端反射系数小于-19 dB,电压驻波比小于1.24。电子聚焦系统采用周期永磁聚焦,磁场周期为8.5 mm,计算得到磁场峰值为0.17 T。为提高注波互作用效率,采用具有动态速度渐变特性的慢波结构,使得电子注与高频场有足够的互作用时间,从而保证电子不断地将能量交给高频场。运用三维PIC粒子模拟软件分析行波管的注波互作用,得到在12.5~16 GHz频率范围内输出功率大于88.7 W,电子效率大于14.8%,增益大于34.6 dB。     

Broadband operation of a Ka-band tapered gyro-traveling waveamplifier

A wideband low-voltage millimeter-wave gyro-traveling wave tube (gyro-TWT) amplifier operating in the TE₁₀ rectangular waveguide mode at the fundamental cyclotron frequency is under investigation, The device incorporates precise axial tapering of both the magnetic field and the interaction circuit for broadband operation. Experimental results of a wide (33%) instantaneous bandwidth with a small signal gain in excess of 20 dB and saturated efficiency of ~10% were achieved and shown to be in good agreement with the theory. Reflective instability due to multi-pass effects by mismatches was observed and characterized. Gain and efficiency have been limited by this reflective instability rather than by absolute instabilities which limit the performance of gyro-TWT's with uniform cross-section. The start-oscillation current in terms of the relevant experimental parameters such as the beam velocity ratio (α), magnetic field detuning and reflection coefficient has been measured and compared with theory. Measurements of the phase variation in terms of the RF frequency have shown that the phase varies ±30° from fitted linear phase line     

螺旋坐标系下考虑厚度的螺旋线行波管小信号研究(英文)

采用螺旋坐标系对有限厚度的螺旋带行波管进行了注波互作用的线性理论分析,利用自洽场理论得出了此结构中引入电子注后的"热"色散方程,数值计算了其小信号增益,分析了电子注参数和螺旋线厚度对于螺旋线慢波系统的色散特性的影响。结果表明:螺旋线厚度的增加,行波管的小信号增益也会增加,且带宽也略有增加。该结论为高增益宽频带的螺旋线行波管放大器的设计提供了理论基础。     

Design of a re-entrant double-staggered ladder circuit for V-band coupled-cavity traveling-wave tubes

The re-entrant double-staggered ladder slow-wave structure is employed in a high-power V-band coupled-cavity traveling-wave tube. This structure has a wide bandwidth, a moderate interaction impedance, and excellent thermal dissipation properties, as well as easy fabrication. A well-matched waveguide coupler is proposed for the structure. Combining the design of attenuators, a full-scale three-dimensional circuit model for the V-band coupled-cavity traveling-wave tube is constructed. The electromagnetic characteristics and the beam-wave interaction of this structure are investigated. The beam current is set to be 100 mA, and the cathode voltage is tuned from 16.8 kV to 15.8 kV. The calculation results show that this tube can produce a saturated average output power over 100 W with an instantaneous bandwidth greater than 1.25 GHz in the frequency ranging from 58 GHz to 62 GHz. The corresponding gain and electronic efficiency can reach over 32 dB and 6.5%, respectively.     

Geometrical Effects on the Performance of Coaxial-Waveguide Gyrotron Traveling-Wave Amplifiers

This theoretical investigation examines the feasibility of improving the stability of the coaxial-waveguide gyrotron traveling-wave tube (gyro-TWT) by selecting the geometrical parameter C, i.e., the ratio of the outer radius to the inner radius. The effects of the geometrical parameter C on the start-oscillation currents of oscillation modes are analyzed to determine the optimum operating conditions. Simulation results indicate that the coaxial gyro-TWT with distributed wall losses can be stably operated at a higher beam current by optimizing C. Additionally, the saturated behaviors of the operating TE₀₁ mode are evaluated for several C values to investigate the geometrical effects on the amplification of the coaxial gyro-TWT. Moreover, performance of the fundamental harmonic coaxial gyro-TWT achieved with the optimized C value is predicted under stable operating conditions.     

140 GHz菱形微带曲折线慢波 结构行波管的模拟计算

提出了一种新型的菱形微带曲折线慢波结构。该结构可适用于低电压、宽带宽、中等功率水平的高效率毫米波行波管。和传统的慢波结构相比,微带曲折线是一种平面结构,因此其加工工艺可采用2维微细加工技术。该结构可以用带状电子束进行注-波互作用,并且不需要额外的电子束通道。给出了菱形微带曲折线慢波结构在140 GHz的色散曲线和注-波互作用模拟分析。研究结果显示:在输入功率为40 mW,带状电子束的电流和工作电压分别为90 mA和7 kV的条件下,该微带曲折线行波管可以获得数十W功率输出,互作用效率可达14.3%,瞬时3 dB带宽为18 GHz(132～150 GHz)。     

金刚石材料对螺旋线慢波组件散热性能的影响

螺旋线慢波组件的散热性能是影响行波管输出功率、工作稳定性及可靠性的重要因素. 金刚石材料具有极高的导热性能,将金刚石材料应用于螺旋线慢波组件的制备,可以在一定程度上改善组件散热性能. 本文计算模拟分析了沉积金刚石薄膜的夹持杆、沉积金刚石薄膜的螺旋线以及金刚石夹持杆对慢波组件散热性能的影响. 结合实验和模拟对比研究,使计算机仿真与实验测试紧密关联,提高了计算机模拟研究准确性,为金刚石材料在慢波组件中的应用提供了重要的参考依据. 关键词： 螺旋线行波管 慢波组件 散热性能 金刚石     

An Open Rectangular Waveguide Grating for Millimeter-Wave Traveling-Wave Tubes

Millimeter-wave traveling-wave tube(TWT) prevails nowadays as the amplifier for radar,communication and electronic countermeasures.The rectangular waveguide grating is a promising all-metal interaction circuit for the millimeter-wave TWT with advantages of high power capacity,fine heat dissipation,scalability to smaller dimensions for shorter wavelengths,compact structure and robust performance.Compared with the traditional closed structure,the open rectangular waveguide grating(ORWG) has wider bandwidth,lower cut-off frequency,and higher machining precision for higher working frequencies due to the open transverse.It is a potential structure that can work in the millimeter wave and even Terahertz band.The rf characteristics including dispersion and interaction impedance are investigated by both theoretic calculation and software simulation.The influences of the structure parameters are also discussed and compared,and the theoretical results agree well with the simulation results.Based on the study,the ORWG will favor the design of a broadband and high-power millimeter-wave TWT.     

V波段大功率带状注曲折波导行波管

利用曲折波导慢波结构和一个长宽比为3∶1的带状电子注作为注-波互作用电路,完成了对V波段大功率行波管互作用电路的设计。分析了带状电子注通道对高频特性的影响,并在综合考虑色散和耦合阻抗的情况下得到了优化的结构参数。建立了3维的V波段带状注曲折波导行波管的电路模型,并利用CST粒子工作室完成了注-波互作用的仿真研究。研究结果表明,当工作电压和电流分别为17 kV和150 mA时,带状注曲折波导行波管在58~62 GHz时的饱和平均输出功率大于160 W,增益大于34.7 dB。     

Traveling-wave-tube simulation: The IBC code

An interactive beam-circuit code (IBC) is presented, to run interactively on fast PCs or workstations, for purposes of first-cut design of traveling-wave tubes (TWTs) at small and large amplitudes. The new physics parts are the use of particle-in-cell methods to obtain the space-charge forces, and the following of the electron beam over the full length of the tube. The model is fully nonlinear and one-dimensional, with the transverse space-charge fields approximated by one mode. The slow-wave circuit is modeled by a transmission line. All variables are displayed continuously, such as the velocity displacement of all the particles (phase space), beam charge and current densities, space-charge field, circuit field, voltage and current, circuit power, and the location of the added loss. Some initial runs are presented     

Design of a reentrant double staggered ladder circuit for V-band coupled-cavity traveling-wave tube

The reentrant double staggered ladder slow-wave structure is employed in a high-power V-band coupled-cavity traveling-wave tube. This structure has a wide bandwidth, a moderate interaction impedance, and excellent thermal dissipation properties, besides the easy fabrication. A well-matched waveguide coupler is proposed for the structure. Combining the design of attenuators, a full-scale three-dimensional circuit model for the V-band coupled-cavity traveling-wave tube is constructed. The electromagnetic characteristics and the beam--wave interaction of this structure are investigated. The beam current is set to be 100 mA, and the cathode voltage is tuned from 16.8 kV to 15.8 kV. The calculation results show that this tube can produce a saturated average output power over 100 W with an instantaneous bandwidth greater than 1.25 GHz in the frequency ranging from 58 GHz to 62 GHz. The corresponding gain and electronic efficiency can reach over 32 dB and 6.5%, respectively.     

Effect of attenuation on backward-wave oscillation start oscillation condition

In a practical helix traveling-wave tube (TWT), there is always attenuator/sever for suppressing the oscillations, including backward-wave oscillation (BWO). The factors of the influencing BWO include start position of the attenuator, its length, and attenuation quantity. In the event that the attenuator/sever and nonuniformities in the phase velocity and beam potential were considered, a linear theory is employed to analyze BWO start oscillation condition. Numerical results show that the start oscillation length of the TWT decreases when the start position of the attenuator is close to the input section of the slow wave structure (SWS), that Start oscillation current of the output section of the SWS increases as the attenuation length decreasing, or the attenuation quantity increasing or the nonuniformities becoming strong, and that, however, when the phase velocity or beam potential exceeds a particular value, no oscillation condition could be found.     

多注行波管周期永磁聚焦系统

 利用自行开发的3维行波管仿真软件研究了五注耦合腔行波管周期永磁聚焦系统,分析了各个电子注通道内的静磁场分布和电子注聚焦性能。讨论了在有无初始横向速度的情况下各电子注的聚焦情况。并对外层电子注通道内的横向磁场的性质和其造成的对电子注聚焦的影响进行了分析,结果表明:该多注周期永磁聚焦系统具有良好的静磁场分布特性与电子注聚焦性能,在结构设计合理时,横向磁场对外层通道内电子注的聚焦影响很小,可以忽略。     

Steady oscillatory states of a finite Josephson junction

Under the assumption that solutions have traveling-wave form, time-periodic solutions are found for the Josephson phase equation for a finite-length tunnel junction with uniform current feed and linear loss term. Exact current-voltage characteristics are found and compared with simple approximations. The complete current-velocity and mean-width-velocity curves for isolated fluxons are found. Comparison with characteristics for a finite junction shows that end effects obtained from analysis of a circuit model of the junction shows that end effects introduce lower- and upper-current thresholds.     

Self-consistent field theory of a helix traveling wave tubeamplifier

A self-consistent relativistic field theory of a helix traveling wave tube (TWT) is presented for a configuration in which a thin annular beam propagates through a sheath helix enclosed within a loss-free wall. A linear analysis of the interaction is carried out, subject to the boundary conditions imposed by the beam, helix, and wall. A detrimental dispersion equation is obtained which implicitly includes beam space-charge effects without recourse to a heuristic model of the space-charge field. The equation is valid for arbitrary azimuthal mode number and is solved numerically for the azimuthally symmetric case. The coupled-wave Pierce theory is recovered in the near-resonant limit. Numerical comparisons between the complete dispersion equation and the Pierce model are described. A discrepancy is found between the Pierce and the field theory even for low currents in the nominally ballistic regime, owing to the dielectric effect of the beam on the helix modes