Study of a X-Bank Relativistic Backward Wave Oscillator with Variable Couple Impedance

An electromagnetic particle-in-cell code has been used to simulate the nonlinear beam wave interaction and other optimization issues of a X-band RBWO with variable couple impedance, the simulation results show: the device can high-efficiently generate microwave radiation of 950MW peak power at (9.06±O.03) GHz when it is driven by a 5KA-500KV annular electron beam, peak power efficiency is 38%. The preliminary experiment results show that the microwave-generating efficiency of the non-uniform impedance RBWO is about twice of the uniform case in the same operating conditions.     

带有反射腔的相对论返波管初步实验研究

阐述了带有反射腔的相对论返波管的初步实验研究进展。反射腔是一段不规则的圆波导,在相对论返波管中起到截止颈的作用。初步实验的结果为：外加磁场Bz =0.82T时,输出微波功率为170MW,微波频率8.874GHz,脉宽为10ns;外加磁场Bz =1.7T时,微波功率为370MW,频率与脉宽不变;根据辐射场功率密度分布判定传输模式为TM01模。结果表明：带有反射腔的返波管在较低外加磁场下也能够工作。     

相对论返波管模式变换器的研究

根据相对论返波管的需求设计计算了一种模式变换器兼反射器。它将工作模式TM11模转换成TE11模的同时将TE11模反射回去,用普通的喇叭形成高斯波束发射输出。在我们的设计方案中,它是旁壁对称正弦波纹的圆波导,变换器的中心频率为10GHZ。数值模拟结果显示,变换器的长度为7个周期时,中心频率点转换的效率已经超过了90％,工作频带能够达到± 0.3GHz。     

Particle-In-Cell Simulations from a X Band Coaxial Relativistic Backward Wave Oscillator

A high-power x-band coaxial relativistic backward wave oscillator has been conceptually designed and analyzed. The TM_on dispersion relations in the coaxial corrugated cylindrical waveguide used in the device was calculated. MAGIC,an electronmagnetic particle-in-cell code, is being used to investigated the nonlinear beam-wave interaction and other design optimization issues. Preliminary simulation results shows that the coaxial BWO can generate 2. 2 GW peak power microwave at 10. 15GHz in the TM₀₂ mode driven by a 600-KV 20-KA electron beam, the peak power efficiency is about 18%.     

粒子群及遗传算法在相对论返波管中的应用

在全三维粒子模拟软件CHIPIC平台上,分别开发了粒子群及基因算法模块.以相对论返波管为例,采用三种不同类型的参数(连续参数、离散参数、混合参数),对粒子群及基因算法进行比较.优化结果表明:粒子群算法的收敛速度更快,在有限的迭代步数内得到的目标结果也更优良,总体表现优于基因算法.     

Study of Novel Slow Wave Circuit for Miniaturized Millimeter Wave Helical Traveling Wave Tube

Two kinds of novel helical slow wave circuit, supported by Chemical Vapor Deposition (CVD) diamond, are presented. They are applying in miniaturized millimeter wave helical traveling wave tube. Cold test characteristic of these circuits are simulated by MAFIA code. Higher performances are achieved with smaller size, compared with conventional circuit supported by BeO rods. The nonlinear analysis is implemented by Beam and Wave Interaction (BWI) module, which is a part of TWTCAD Integrated Framework. Results have been found to be consistent with the expectation. It should be wider apply in microwave and millimeter wave vacuum electronic devices.     

Gyrotron Backward Wave Oscillator Experiments with a Relativistic Electron Beam Using an X-Band Rectangular Waveguide

A mildly relativistic electron beam (500keV, 200A, 10ns) injected into an X-band rectangular waveguide immersed in a uniform axial magnetic field (4-10kG) produced magnetically tunable microwave radiation in the 9-13 GHz frequency range with an estimated output power of 1MW. The frequency range and tunability of the radiated microwave agreed with a theoretical model for a gyrotron backward wave oscillator taking into account the low energy component of the beam electron.     

Rodrigues' Formula for the Radial Wave Function in a Relativistic Model of the Oscillator

For the polynomial part of the radial wave function in a spherically symmetric quasipotential model of the oscillator, formulated in the relativistic configurational r-representation, the connection with the dual Hahn polynomials is found and a finite difference analogue of the Rodrigues' formula is obtained.     

On Some Solutions of Relativistic Wave Equations

In this paper we present exact solutions of the Klein-Gordon and the Dirac equations in different configurations of an electromagnetic field, which are characteristic for free-electron laser-type gauges. In the case of motion of a charge scalar particle in standing wave an energy spectrum is studied. For the motion of an electron in a so-called wiggler magnetic field a spinor wave function is proved to be obtainable. An undulator field configuration with propagating wave is treated also.     

同轴相对论返波管高频特性的数值分析

提出一种数值分析周期慢波结构色散特性的模拟法，先采用时域有限差分法和离散傅里叶变换技术计算含周期慢波结构的谐振腔的谐振频率及谐振场分布，再基于周期慢波电路色散关系的周期性质，利用几个特殊色散点由数值组合技术获得周期慢波线的完整色散关系。数值计算了同轴波纹波导中ＴＭ０ｎ模式的色散关系，亦能用于分析计算任意复杂几何结构的周期慢波线的色散关系。     

On Traveling Wave Fronts in a Bacterial Growth Model with Density-Dependent Diffusion and Chemotaxis

Bacterial colonies often generate patterns that are characterized by fingerlike projections growing out of the propagating front. In this paper, we analyze the traveling wave fronts in bacterial growth model that accounts for chemotactic movement as well as random motion in density-dependent diffusion. Specifically, the existence of traveling wave solutions to model equations is examined by means of methods of local linear and nonlinear analysis, and numerical simulations. The occurrence is shown of both sharp and smooth traveling wave fronts.     

On Relativistic Mass Spectra of a Two-Particle System

Abstract

A relativistic two-particle system with time-asymmetric scalar and vector interactions in the two-dimensional space-time is considered within the frame of the front form of dynamics using the dynamical symmetry approach. The mass-shell equation may be represented in terms of the nonlinear canonical realization of the Lie algebra of the group SO(2, 1). This allows us to quantize the system and to obtain a closed form for the mass spectrum.     

Generation of Microwave Pulses with a Carrier Frequency of 3.8 GHz and a Length of 75 ns by a Relativistic Cherenkov Microwave Oscillator without a Guiding Magnetic Field

In the experiment with an electron energy of ≈500 keV, the long-pulse (~300T, where T is the oscillation period) the generation regime of a relativistic Cherenkov microwave oscillator without a guiding magnetic field at a carrier frequency of 3.8 GHz has been obtained. A high-power microwave radiation pulse length of ~75 ns, a peak generation power of 210 ± 30 MW, and a power conversion efficiency of 9 ± 2% were attained.     

低引导磁场下相对论亚纳秒电子束毫米波返波振荡器的粒子模拟

提出了一种Ka波段的相对论亚纳秒电子束毫米波慢波结构,在较低引导磁场情况下,运用粒子模拟(PIC)方法成功地模拟出器件中波束互作用的非线性物理演化过程,得到了一种超辐射状态下的微波辐射,它的产生与波相对于电子束滑移引起的电子束内电子间相互作用有关,辐射微波的峰值功率与电子束总电荷的平方成正比.粒子模拟有利于对超辐射这种束波互作用非线性物理现象的理解,并且对器件的设计有一定的参考价值.     

Relativistic Treatment of Spinless Particles Subject to a Tietz-Wei Oscillator

The bound state solutions of the relativistic Klein-Gordon equation with the Tietz-Wei diatomic molecular potential are presented for the s wave. It is shown that the solutions can be expressed by the generalized hypergeometric functions. The normalized wavefunctions are also derived.     

Relativistic Two-Boson System in Presence of Electromagnetic Plane Wave

The relativistic two-body problem is considered for spinless particles subject to an external electromagnetic field. When this field is made of the monochromatic superposition of two counter-propagating plane waves (and provided the mutual interaction between particles is known), it is possible to write down explicitly a pair of coupled wave equations (corresponding to a pair of mass-shell constraints) which takes into account also the field contribution. These equations are manifestly covariant; constants of the motion are exhibited, so one ends up with a reduced problem involving five degrees of freedom.