Nonlinear saturation of hot beam-plasma instability

The wave-particle interactions in a beam-plasma system in the presence of finite but small thermal motions of the particles are investigated in the linear as well as nonlinear regime. During the linear growth, the thermal motions are found to have a stabilizing effect. The nonlinear evolution is studied by using the Perturbed Orbit Formalism. Due to the thermal motions the nonlinear saturation of growth is found to take place at a level lower than that of the cold case. A detailed study of the energy balance shows that nonresonant particles pick up a bigger fraction of the energy lost by the streaming motion of the beam, thus leading to more efficient ‘heating’.     

Nonlinear resonant two-wave interaction in an inhomogeneous medium

A one-dimensional steady-state nonlinear resonant two-wave interaction in a lossless periodically inhomogeneous medium is investigated. It is shown that the amplitudes and the phases of the waves vary in a stochastic manner.     

Relativistic electron beams and beam-plasma interaction

The interaction of a (relativistic) electron beam with a plasma is discussed. In the introduction the history of the field and related topics are reviewed. Next the momentum space distribution of a relativistic electron beam (REB) is treated. Then, taking into account the kinetic properties of a REB, linear wave dispersion in a REB-plasma system is surveyed. Dispersion diagrams are calculated and presented for a number of representative sets of parameters. Finally a discussion is given of the dispersive properties of unstable waves. Criteria are developed to discriminate between the various types of possible non-linear behaviour of the waves as they grow to their saturation level.     

Nonrelativistic quantum theory of particle scattering

A method previously described [1–4] is further developed for. radial equations for nonrelativistic quantum-mechanical problems on collisions.     

Nonlinear cyclotron resonant wave-particle interaction in a nonuniform magnetic field

Quasilinear analysis of wave-particle interactions is presented for plasma flowing in a weakly nonuniform magnetic field configuration. The method presented is based on a scale separation between the length scales of quasilinear relaxation and the magnetic field inhomogeneity, allowing one to obtain large scale solutions for both particle distribution functions and wave spectra, without going into the details of the small scale quasilinear relaxation. The numerical example shows the existence of a secondary instability for an initially stable particle distribution function.     

A simple model of non-linear beam-plasma interaction

A microscopic Lagrangian and Hamiltonian is derived for the waves on a beam-plasma system with the reaction of the waves on the background self-consistently taken into account. Numerical integration of the corresponding canonical equations confirms that even a model of only several degrees of freedom suffices to describe the basic non-linear phenomena of beam-plasma interaction.     

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。     

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。     

Self-consistent generation of superthermal electrons by beam-plasma interaction

It has been known since the early days of plasma physics research that superthermal electrons are generated during beam-plasma laboratory experiments. Superthermal electrons (the kappa distribution) are also ubiquitously observed in space. To explain such a feature, various particle acceleration mechanisms have been proposed. However, self-consistent acceleration of electrons in the context of plasma kinetic theory has not been demonstrated to date. This Letter reports such a demonstration. It is shown that the collisionality, defined via the "plasma parameter" g=1/n(lambda(D)(3), plays a pivotal role. It is found that a small but moderately finite value of is necessary for the superthermal tail to be generated, implying that purely collisionless (g=0) Vlasov theory cannot produce a superthermal population.     

Toward a theory of stability of resonant amplifiers with distributed interaction

It is shown that stochastic instability can arise in the amplification of a real multifrequency signal in resonant amplifiers with distributed interaction that are stable under the influence of a harmonic oscillation. Necessary conditions for the onset of chaos are determined analytically by means of running Lyapunov exponents. Specific results of numerical and analytic studies of the stability or orotron amplifiers are presented.Radio-Astronomy Institute, Academy of Sciences of Ukraine. Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Radiofizika, Vol. 35, Nos, 3, 4, pp. 285–294, March–April, 1992.     

扩展互作用振荡器非线性理论与模拟

为了对扩展互作用振荡器(EIO)进行更为高效研究与设计,提出了一种非线性理论与数值模拟相结合的方法对其进行分析,编制了基于一维电子圆盘模型的数值计算程序,并结合MAGIC模拟结果对其准确性进行了讨论。非线性模拟中,35GHz EIO输出功率为125W,频率为35.01GHz,对应的MAGIC模拟结果分别为100W,35.11GHz;110GHz EIO输出功率为220W,频率为107.9GHz,对应的MAGIC模拟结果分别为190W,107.93GHz。非线性方法使得模拟速度有了很大的提高,单次计算时间小于5min,并且所得数据与传统软件模拟得到的特性曲线相比变化趋势一致、数值上也较为接近。     

扩展互作用振荡器非线性理论与模拟

为了对扩展互作用振荡器(EIO)进行更为高效研究与设计,提出了一种非线性理论与数值模拟相结合的方法对其进行分析,编制了基于一维电子圆盘模型的数值计算程序,并结合MAGIC模拟结果对其准确性进行了讨论。非线性模拟中,35 GHz EIO输出功率为125 W,频率为35.01 GHz,对应的MAGIC模拟结果分别为100 W,35.11 GHz;110 GHz EIO输出功率为220 W,频率为107.9 GHz,对应的MAGIC模拟结果分别为190 W,107.93 GHz。非线性方法使得模拟速度有了很大的提高,单次计算时间小于5 min,并且所得数据与传统软件模拟得到的特性曲线相比变化趋势一致、数值上也较为接近。     

Drift theory of the resonant interaction of charged particles with wave packets

Averaged equations of motion are obtained for charged particles resonantly interacting with high-frequency wave packets in the case of finite cyclotron radius. It is shown that the mean action of the packet on the particle is not a potential function. Cherenkov resonance of particles with the beats of two wave packets in inhomogeneous plasma is considered.Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Fizika, No. 4, pp. 10–13, April, 1982.