A method to optimize the RF-field distribution in a gyromonotron

The maximum efficiency of a gyromonotron depends on the RF-field and the DC magnetic field distributions in the interaction region of the resonator. A method for optimizing the RF-field distribution is presented by using a ballistic approach. A section of a sin² electric field distribution is found to be suitable.     

Linear theory of an electron cyclotron maser operating at the fundamental

The linear theory of an electron cyclotron maser (ECM) operating at the fundamental is developed. A set of analytic expressions, valid for all TE cavity modes, is derived for the starting current and frequency detuning using the Vlasov-Maxwell equations in the weakly relativistic limit. These results are applicable for an arbitrary electron velocity distribution as well as any longitudinal distribution of the RF field. It is shown that the starting current can be expressed in a simple form which contains the Fourier trans-form of the longitudinal field distribution. Analytic results are presented for specific longitudinal field variations, including uniform, sinusoidal, and Gaussian. It is found that the starting characteristics of an ECM are strongly influenced by the axial dependence of the RF field, but weakly affected by the velocity spread of the electron beam. The problem of multimode oscillation is treated in the linear theory by using a Slater expansion of the cavity field. The complete formulation for mode competition based on this expansion is presented and preliminary results are derived. This comprehensive analysis of ECM linear theory should be useful as a diagnostic of ECM performance and should facilitate comparison between theory and experiment.Work supported by U.S.D.O.E. Contract DE-AC-02-80ER52059Supported by U.S. Department of EnergySupported by National Science Foundation     

A wave approach to hollow cylindrical electron cyclotron masers

A wave method has been applied to analyze and derive the dispersion equation for hollow cylindrical ECM's, which features in simpler mathematics and clearer physical interpretation. Besides, the effects of space charge Columb field have been taken into account. For the time being, the result is more likely suitable for fundamental mode interaction.     

RF Space-Charge Effects in CRM with Arbitrary Phase Velocity of the Operating Wave

The simplest elementary source of RF space-charge field in the form of a helix rotating with the frequency of the operating wave is proposed. The use of these sources (mutually interacting) allows one to describe the main space-charge effects for different varieties of CRMs in both linear and nonlinear regimes. It is shown that, like in the subrelativistic gyrotron, due to development of the quasielectrostatic negative-mass instability, the space charge increases the increment in the amplifier and decreases the starting current in the oscillator.     

Efficiency Enhancement of Coaxial-Cavity Electron Cyclotron Resonance Maser by Tapering Guide Magnetic Field

A coaxial-cavity cyclotron resonance maser (CRM) oscillator with tapered guide magnetic field is proposed. It is shown that the transmission quality can be improved by tapering the guide magnetic field. Simulation indicates that the efficiency of a millimeter-wave gyrotron oscillator may be reached up to 38.7% by optimizing the tapered magnetic field.     

A submillimeter gyrotron with a pulsed magnetic field

Pulse solenoids seem promising for sumbillimeter wave generation in gyrotrons. In this paper a single-pulse submillimeter gyrotron with a pulsed magnetic field is described. At the wavelength 0.8 mm the output power 120 KW with the efficiency 15% has been obtained.     

毫米波回旋超辐射的粒子模拟与实验研究

 为开发回旋超辐射在毫米波和亚毫米波超辐射高功率微波源中的优势,采用3维PIC粒子模拟对回旋超辐射的工作特性进行了分析,并在此基础上优化设计了器件结构及工作参数范围。模拟表明,微波峰值功率与电子束脉宽在一定范围内成平方关系,符合超辐射的典型特征。初步实验在210 kV, 250 A的电子束参数下获得了6 MW的微波峰值功率输出,工作频率37.2 GHz,模式为TE01,与粒子模拟的结果基本一致。     

An improved theory of microwave open resonators

The analytic theory of microwave open resonators is improved here by means of solving the complex Airy equation, that the Q-value as well as the argument of field profile may be given accurately. The resonance conditions for open cavities with high and moderate Q-values are derived analytically. Theoreticl Q-values are well agreed with the measured ones from experiments.     

General theory and design of microwave open resonators

Based on the analysis of wave propagation in a waveguide with slowly varying cross-section, a general theory is developed for microwave open resonators with rotational-symmetric waveguides; this geometry has been extensively used in the gyrotrons. The theoretical analysis is carried through under the most general conditions, that is the cross-section radius r(z) of the resonator is a slowly varying arbitrary function of z and the resonator is open. The general expressions for the resonant frequencies and the Q have been derived. A design method for this kind of open resonator has been proposed. Calculation results for two practical resonators are presented.     

毫米波回旋超辐射的粒子模拟与实验研究

为开发回旋超辐射在毫米波和亚毫米波超辐射高功率微波源中的优势,采用3维PIC粒子模拟对回旋超辐射的工作特性进行了分析,并在此基础上优化设计了器件结构及工作参数范围。模拟表明,微波峰值功率与电子束脉宽在一定范围内成平方关系,符合超辐射的典型特征。初步实验在210 kV, 250 A的电子束参数下获得了6 MW的微波峰值功率输出,工作频率37.2 GHz,模式为TE01,与粒子模拟的结果基本一致。     

Observation of mode conversion in gyrotrons

The observed output power levels in the University of Sydney's gyrotron can be accounted for only by including the effects of mode conversion at waveguidetaper transitions in the vicinity of the resonant cavity. A series of measurements taken from liquid-crystal images of the microwave fields beyond the output window confirms this.     

On the kineteic theory of electron cyclotron maser

This paper starts from the kinetic theory to expound the method of characteristics. Influence of the equilibrium distribution functionf _o upon analyzed result is fully investigated. Dispersion equation is rigorously derived in waveguide coordinate system in case of interaction between TE _mn field in a circular waveguide and a single momentum ring-shaped electron beam. In the meantime, we make some critical review of previous papers and clarify their confusion and ambiguities.     

Microwave system for free electron masers based on a curved open waveguide

A new microwave system for free electron masers of millimeter and submillimeter wavelength ranges on the basis of an open quasi-optical waveguide in the form of two slightly deformed metallic planes is discussed. The system gives the possibility to control the wavebeam trajectory and, in particular, to separate wave and electron beams.Some basic solutions and results of demonstration experiment are presented.     

Novel Applications of Millimeter and Submillimeter Wave Gyro-Devices

The possible applications of high-power millimeter (mm) and submillimeter waves from gyro-devices span a wide range of technologies. The plasma physics community has already taken advantage of recent advances in applying high-power micro- and mm-waves generated by gyrotron oscillators in the areas of RF-plasma production, heating, noninductive current drive, plasma stabilization and active plasma diagnostics for magnetic confinement thermonuclear fusion research, such as lower hybrid current drive (8 GHz), electron cyclotron resonance heating (ECRH) (28–170 GHz), electron cyclotron current drive (ECCD), collective Thomson scattering and heat-wave propagation experiments. Other important applications of gyrotrons are electron cyclotron resonance (ECR) discharges for generation of multi-charged ions and soft X-rays, as well as industrial materials processing and plasma chemistry. Submillimeter wave gyrotrons are employed in high-frequency broadband electron paramagnetic resonance (EPR) spectroscopy. Future applications which await the development of novel high-power gyro-amplifiers include high resolution radar ranging and imaging in atmospheric and planetary science as well as deep-space and specialized satellite communications and RF drivers for next-generation high-gradient linear accelerators (supercolliders). The present paper reviews the state-of-the-art and future prospects of these recent applications of gyro-devices.     

Computer-aided analysis and design of corrugated TE11 to HE11 mode converters in highly overmoded waveguides

A theoretical and experimental study of TE11-to-HE11 mode conversion in highly oversized waveguides is given. The balanced HE11 hybrid mode propagating in a circumferentially corrugated circular waveguide is in many respects ideal for effective electron cyclotron resonance heating of fusion plasmas with high-power gyrotrons. At an aperture antenna it exhibits desirable radiation characteristics such as linear polarization with very low cross polarization and axisymmetric power distribution with low sidelobe levels. This Gaussian-like mode can be generated from a TE11 mode by means of a corrugated mode converter in which the depth of the annular slots is tapered gradually from one-half to one-quarter wavelength. Computer-aided optimization of converter length, shape of corrugations, and of non-linear slot depth variation for 28 GHz- and 70 GHz-transducers was achieved with a scattering matrix formalism employing the modal field expansion technique (Modular Analysis Concept). In both cases the measured conversion efficiency of (98.5±0.5)% and the experimental values of the maximum cross polarization (below –28 dB) are in very good agreement with the predicted values. High-power operation was successfully demonstrated using pulsed 28 GHz- and 70 GHz-VARIAN gyrotrons (200 kW).     

W波段损耗介质加载回旋返波振荡器中模式竞争的研究

本文采用自洽非线性理论模型系统研究W波段基波TE₀₁模回旋返波振荡器 模式竞争的物理机理. 通过采用特殊渐变的非谐振互作用结构和加载损耗介质抑制互作用系统中竞争模式, 从而防止系统出现非稳态振荡现象. 通过系统优化的互作用结构可以抑制竞争模式,能够稳定工作在TE₀₁模的轴向基模上. 计算表明系统输出峰值功率105 kW, -3 dB调谐相对带宽为5.4%. 这为发展应用于电子对抗、无损探测、等离子体诊断、材料处理等领域 的宽带毫米回旋返波振荡器提供了理论基础, 具有借鉴意义.     

Generation of the Gaussian-like HE11 mode from gyrotron TEOn mode mixtures at 70 GHz

This work reports calculations and measurements on mode converters for the transformation of TEOn gyrotron mode mixtures (primarily TEO2) into the linearly polarized HE11 hybrid mode at 70 GHz. This mode is ideal for quasi-optical launching systems for ECRH of plasmas. Mode transducers with axisymmetric radius perturbations convert the gyrotron TEOn mode composition into the TEO1 mode. Proper matching of the phase differences between the various modes and of the perturbation amplitudes of the several converter sections is required. The TEO1 wave is used for long-distance transmission through smooth-walled overmoded waveguides. A mode converter with constant diameter and periodically perturbed curvature transfers the unpolarized TEO1 mode into the polarized TE11 wave. The experimentally determined TEOn-to-TEO1 conversion efficiency is (98.5±1)% (99% predicted) while the TEO1-to-TE11 transformer has a (94±2)% efficiency (93% theoretically); ohmic losses are included. The Gaussian-like HE11 mode with axisymmetric power distribution and almost no cross polarization is produced in a circumferentially corrugated TE11-to-HE11 mode transducer with a measured conversion efficiency of (98.3±1.5)% (98.5% predicted). The overall efficiency of the complete mode converter system in the desired mode was determined to be (91±2.5)%. High-power operation (200kW, 100ms) has been successfully demonstrated.     

Theoretical research on the performance of a practical helix travelling wave tube

On the basis of a rigorous field theory, two different physical models of attenuator and sever have been proposed. One is named High attenuation （HATT） model in which both attenuator and sever are considered as a unified attenuator, but the sever is regarded as an area of very high loss; the other is called Sever and attenuator （SATT） model in which the sever is modelled as a drift area in which the electric and magnetic fields both vanish. A complex function is derived and potential sinking effect is also considered. Thus, a set of more practical self-consistent equations of nonlinear beam-wave interaction is formulated. Simulations are carried out under the conditions of the two different physical models, and the simulation results are compared with the experimental data. The results show that in the case of single signal drive, the unknown second harmonic should be included for predicting the saturated output power. It is also evident that the SATT model and the HATT model predict the same physical nature, whereas the results predicted by the HATT model are much closer to the experimental data than those obtained from the SATT model. Therefore, these results provide a strong theoretical basis for designing broadband and high gain helix travelling wave tubes.     

Self-consistent nonlinear analysis of overmoded gyrotron oscillators

The self-consistent nonlinear analysis is presented for an overmoded gyrotron, in which the gyrotropic beam interacts with more than one cavity eigenmodes. The nonlinear equations are obtained in the slow time scale for the motion of each individual particle and for the evolution of the amplitude and frequency of each individual cavity eigenmode. A numerically efficient algebraic longtime-step algorithm is developed, which includes magnetostatic field tapering and time transients. Numerical examples are presented for the excitation and competition of the cavity eigenmodes.Work supported by the U.S. Naval Research Laboratory, Plasma Physics Division, under Contract No. N00173-79-C-0200.     

回旋速调管注-波互作用非线性理论研究

利用自洽非线性理论对回旋速调管放大器中的电子注-波互作用进行了时域瞬态分析,建立了多腔回旋速调管非线性理论,给出了相应的电子运动方程和复数形式的互作用瞬态场方程。给出并分析了一支工作在TE01模Ka波段四腔回旋速调管注-波互作用的数值计算结果,当电子注电压为72.8 kV,电流为11.8 A,速度零散为5%时,可以得到335 kW的最大饱和功率输出,39.6%的电子效率及320 MHz的饱和带宽,与实验值相比较,二者较为吻合。