等离子体波-粒子非线性作用的有质动力和自生磁场效应

本文从Vlasov-Maxwell方程组出发,用自洽场方法首先建立了低频振荡粒子分布函数、密度与高频电场、低频磁场在Fourier表象中的耦合关系,然后对低频线性介电函数作各种近似展开,在时空表象中得到了包括磁场效应、有质动力和Landau阻尼的一套非线性作用方程组最后还给出了Lagrangian密度和守恒量,并简单地讨论了磁场能否促进三维Soliton形成问题。 关键词：     

等离子体中调制不稳定性和波包的坍缩过程

本文给出了等离子体中由动力学理论所得到的形成强湍流的高频和低频非线性电流的表达式。根据文献[2]给出的包含有质动力、自生磁场和它们的阻尼效应的方程组,我们推广了Kono等人关于调制不稳定性的分析,得到了在各种情况下由Langmuir波或横波pump波激发的纵波和横波的增长率与参量的关系式。最后,讨论了波包的坍缩动力学问题,把非线性Schrodinger方程的坍缩讨论推广到密度和场耦合的方程组的情况。 关键词：     

高频波激发低频磁场和离子声波的重整化强湍动理论

本文给出了高温等离子体中高频波激发低频磁场和离子声波强湍动过程的重整化理论,以便改善通常的弱非线性处理方法,从Vlasov-Maxwell方程组出发,在Fourier表象中得到了包含“最发散”和“次发散”效应互相耦合的高频和低频传播于重整化方程组,从而获得了高、低频振荡粒子重整化分布函数和场的耦合关系。在“最发散”重整化近似下,我们求解了高低频传播子方程组,得到了展开到v₄(高频湍动场能密度与等离子体热能密度之比)一次方的近似解和重整化介电函数等表达式。然后,在Fourier逆变换下导得了我们所要的时空表用中重整化强湍动方程组。最后,作为一个说明重整化作用的例子,在一维稳态下求解了孤立子的形式。 关键词：     

导引场下电磁泵浦自由电子激光的非线性理论

本文以Vlasov-Maxwell方程组为基础,用非线性动力学理论研究了存在导引场情况下电磁波泵浦的自由电子激光器的作用机制,导出了线性及非线性色散关系式,求出了非线性不稳定性增长率和自由电子激光的能量转换效率.结果表明,只要合理地选择参量条件,附加导引场可以大大提高自由电子激光的增长率和能量转换效率.     

高频H型放电离子源的场特性

 从Maxwell方程组出发，推导了高频H型放电离子源放电空间的场分布, 并采用Mafia软件进行了三维实体建模，计算了高频离子源放电击穿前和稳定工作后的电磁场分布，得到了高频离子源放电空间电磁场分布的直观图像。通过比较击穿前高频电场的轴向和环向分量，得出了轴向电场在高频离子源击穿中起主要作用的结论，并进而推导出了高频离子源的击穿判据，得出了气体击穿时离子源击穿电压和放电管内气压的关系，与实验结果符合较好。     

等离子体在高频调制场作用下形成自生磁场的机制

研究了等离子体在高频调制场作用下,形成自生磁场的机制.通过求解双时标双流体方程,可以得到一组相互耦合的非线性方程。这组方程可以用来描述自生磁场的形成和演化.数值计算的结果显示,在高频调制场作用下,可以有自生磁场形成.计算得到的磁场强度和特征长度,与太阳日冕内的观测值符合得很好.随着时间的增加,自生磁场可以产生塌缩现象,导致磁场强度在很小的范围内有很大的值. 关键词： 自生磁场 双流体方程 高频调制场     

对称型闪耀光栅的矢量模态理论

本文将满足均匀矢量亥姆霍兹方程的标准矢量波函数作为基矢对对称型闪耀光栅槽内、外的电磁场分别进行矢量模式和矢量平面波展开。然后通过在槽内外分界面上的场耦合条件得到一组振幅系数方程组。从方程组中求解出相应的振幅系数,就可研究光栅的衍射场分布。该方法适用于对称型闪耀光栅对任意入射方向、任意偏振态入射场衍射问题的研究。在K_2=0入射情况下,其振幅方程组与已发表的文献[6]相同。     

螺旋线行波管注波互作用时域理论

研究了螺旋线行波管中电子注与高频场互作用的时域理论.电子对场的作用由高频场方程和空间电荷场方程模拟,场对电子注的作用由运动方程模拟.在螺旋导电面模型下利用安培环路定理和法拉第电磁感应定律得到了时域高频场方程.利用空间电荷波模型处理空间电荷场,得到了空间电荷场方程.将高频场和空间电荷场代入洛伦兹力方程,得到了运动方程.利用耦合阻抗处理高频场方程的激励源,使得高频场方程的求解能够借助诸如HFSS或HFCS等高频模拟软件来实现,增强了时域理论的灵活性.基于上述理论,编写软件数值模拟某螺旋线行波管,验证了时域理论的可行性.     

等离子体中非线性朗谬尔波的哈密顿描述

研究了在双离子（H^ ,O^ )成份等离子体中的非线性朗谬尔波的特性,从流体方程出发,考虑低频离子运动的完全非线性和双极势的色散,得到了描述高频电场缓变振幅与低频势扰动的耦合方程组。利用哈密顿方法,在小振幅情况下,对方程组解耦合,利用Sagdeev势方法,对孤立波的性状进行了讨论,结果表明,双离子成份等离子体中双极势的孤立子的幅度相对电子,离子等离子体的双极势孤立子的幅度要大,而相应的高频电场强度的幅度相对要小,相应的孤立子的速度传播区也较小。     

渐变段倾角对渐变复合腔特性影响的分析

 利用模式耦合理论，在考虑多模耦合的情况下，对渐变结构复合腔进行了冷腔分析，计算了H₅₁-H₅₂模式对下，各个模式的耦合及场幅值分布情况，分析了渐变段的倾角对渐变复合腔的Q值及场幅值分布的影响。研究表明：渐变段的倾角对渐变结构复合腔的高频特性有很大的影响，特别是各模式的场分布及Q值，合适地选择渐变角度，能使场幅值放大率比较大，这将有利于提高注-波互作用效率。     

Drift theory of charged-particle motion for a strong electric field in a weakly relativistic approximation

Drift equations of motion are derived for a charged particle in the case of a strong electric field with allowance for relativistic effects of order v²/c². The role of these effects is discussed along with the effects of a high-frequency field. The cases of weak and strong electric fields are distinguished [2] in the drift theory of the motion of charged particles in weakly inhomogeneous magnetic and electric fields. In the case of a weak electric field, the electric-drift velocity is v_E v, where v is the characteristic velocity of the particle. For a strong electric field,v _Ev.The drift theory has now been reasonably well developed for the case of weak electric fields in the classical and relativistic cases, for the absence of high-frequency fields and for the presence of these [1–3], Extension of the theory to strong electric fields involves considerable mathematical difficulties, and this has been done only in the classical approximation with and without hf fields [2–4], Here we consider the drift theory of charged-particle motion for the case of a strong electric field in the weakly relativistic approximation, incorporating terms of order v²/c², where c is the velocity of light. Also hf fields may be present.Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Fizika, No. 9, pp. 7–9, September, 1981.     

On the Motion in a Fast Oscillating Field

The equations of motion for a point charge in stationary and high-frequency fields are averaged with respect to time. This results in an additional steady force. The examples of the action of this force on a harmonic oscillator and on the motion of electrons and ions of a glow-discharge cathode layer are considered.     

Gauge-strings on Einstein-Rosen background

The full coupled Einstein scalar gauge field equations are obtained together with the high-frequency perturbations on a cylindrical symmetric background. The vortex solution and the first order perturbations depend critically on the parameters of the model. In the static case, an exact solution of the vortex is found. In the nondiagonal case, an axial component of the gauge field is necessary in order to fulfil the energy equation.     

High-order solutions of three-dimensional rough-surface scattering problems at high frequencies. I: the scalar case

We present a new high-order numerical method for the solution of high-frequency scattering problems from rough surfaces in three dimensions. The method is based on the asymptotic solution of appropriate integral equations in the high-frequency regime, in a manner that bypasses the need to resolve the fields on the scale of the wavelength of radiation. Indeed, inspired by prior work in two dimensions, we seek a solution of the integral equation in the form of a slow modulation of the incoming radiation, and we choose a series expansion in inverse powers of the wavenumber to represent the unknown slowly varying envelope. As we show, this framework can be made to yield an efficiently computable recursion for the terms in the series to any arbitrary order. The resulting algorithms generally provide a very significant improvement over classical (e.g. Kirchhoff) approximations in both accuracy and applicability and they can, in fact, effectively produce results with full double-precision accuracy for configurations of practical interest and up to the resonance regime.     

Measurement of fluctuating electric fields by means of high-frequency stark effect in a laser excited lithium beam

A new method of measuring high-frequency electric fields in hot plasmas is proposed and the atomic physics aspects have been tested successfully in a model experiment. It combines laser fluorescence techniques, high-frequency Stark effect, and particle beam injection. In the experiment fields from 400 V/cm could easily be detected.     

静电场边值问题的矩量法解

本文采用修正格林函数积分方程的矩量法数值解技术求解静电场边值问题。这种方法具有较边界积分法积分域小的特点,不仅有高的计算效率和精度,尤其适用于有无限延伸导体边界的边值问题。本文着重讨论与传输线问题等效的边值问题,这是典型的二维静电场问题,对高频和微波技术有重要的实用价值。本文方法也适用于三维静电场问题和交变电磁场问题。     

Systematic derivation of classical kinetic equations for a three component ionized system

A set of general kinetic classical equations is derived for the correlations between particles and/or fields in an ionized three component system. External electric and magnetic fields may exist as well as the induced fields. In the lowest order the reversible Vlasov equation and the equivalent one oscillator equation result. In the first-order a Fokker-Planck type equation is obtained for both the one-particle and one-oscillator distribution functions.     

Finite element method for conserved phase fields: Stress-mediated diffusional phase transformation

Phase-field models with conserved phase-field variables result in a 4th order evolution partial differential equation (PDE). When coupled with the usual 2nd order thermo-mechanics equations, such problems require special treatment. In the past, the finite element method (FEM) has been successfully applied to non-conserved phase fields, governed by a 2nd order PDE. For higher order equations, the convergence of the standard Galerkin FEM requires that the interpolation functions belong to a higher continuity class.     

Lagrangian dynamics of spinning particles and polarized media in general relativity

The general form of the Lagrangian equations of motion is derived for a spinning particle having arbitrary multipole structure in arbitrary external fields. It is then shown how these equations, together with the complete system of field equations can be recovered from a fourdimensional action integral representing a polarized dustlike medium interacting with an arbitrary set of fields. These general results are then specialized to the case of Einstein-Maxwell fields in order to obtain the general-relativistic extension of Lorentz's dielectric theory.     

On axially-symmetric finite-energy monopole configurations

Axially symmetric finite energy monopole configurations are investigated for the gauge group SO(3) with the Higgs field in the adjoint representation. To avoid the complications due to gauge freedom gauge invariant fields are introduced and used throughout. From topological and continuity considerations it is argued that the only regular axially symmetric magnetic charge distributions permitted are isolated charges of uniform strength and alternate sign located along the axis of symmetry. In particular, if there is only one sign, the magnetic charge must be located at a single point. For a zero Higgs potential the minimal energy (first order Bogomolny) field equations take a simple form when written in terms of the gauge-invariant fields. In general, there are nine equations for nine (axially symmetric) fields, but these reduce to five equations for five fields if a further symmetry (invariance under reflexions in planes through the axis of symmetry) is imposed. Remarkably, four of the equations are the same whether the reflexion symmetry is imposed or not, and these four equations can be completely solved in terms of a master potential. From these and the remaining equations (just one in the case of mirror symmetry) the asymptotic behaviour of the functions at large distances and in the neighbourhood of the origin (the location of the charge) is obtained and studied in some detail.