朗缪尔孤立波与光孤立波的耦合(Ⅰ)

本文得到了高低频、双流体、无外磁场,初始密度为均匀时,等离子体动力学方程组的一个双向一维平面高频横波(光波)和纵波(Langmuir波)耦合的孤立波系,它的离子密度凹陷的深度和宽度与实验结果基本一致。这种耦合的孤立波与单独的光孤立波或Langmuir孤立波比较,表现出若干新的性质。     

不均匀等离子体中电磁波与Langmuir波的相互作用

通过理论研究与数值计算,不均匀等离子体中Langmuir波与电磁波的相互作用及其线性模式转换规律得到了充分的展示.导出了不均匀等离子体中的电磁色散关系,研究了入射电磁波或Langmuir波在通过不均匀等离子体的过程中发生转换的物理过程,以及波的传播矢量随空间坐标变化的关系,并对电磁波与Langmuir波相互作用的机理进行了讨论.研究结果对密度梯度所驱动的等离子体波产生电磁辐射的研究具有重要意义. 关键词： 电磁波 Langmuir波 不均匀等离子体 线性模式转换     

脉冲波在强起伏湍流介质中的传播特征分析

提出分析脉冲波在强起伏湍流介质中传播的理论和数值方法,利用不同的波结构函数模型,计算了球面脉冲波在湍流介质中传播的双频互相关函数,给出了广延介质和薄屏结构的脉冲展宽和闪烁系数的数值结果,并与观测结果对比 关键词： 脉冲波 湍流介质 双频相关函数 脉冲展宽 闪烁系数     

脉冲波在空间等离子体介质中传播的矩分析及其应用

根据随机介质波传播理论，开展脉冲波在星际空间等离子体介质中的传播特性的分析方法研究.在强起伏条件下，推导双频互相关函数的二阶矩和四阶矩方程，利用不同电子密度模型，计算双频衍射强度相关函数和闪烁指数，并应用到闪烁的动态谱观测和相关分析中，得到自相关图谱、相关带宽和相关时间等闪烁特征参数，为脉冲在等离子体中的传输特性的分析，提供必要的理论基础.     

双频强激光与等离子体相互作用中的双稳态效应

本文详细研究了双频激光驱动的朗缪尔(Langmuir)波所呈现的双稳态效应。完全相对论性地导出了郎缪尔波振幅和位相的演变方程,分别研究了朗缪尔波饱和振幅和稳态振幅对等离子体频率和泵浦光强的双稳态响应,并讨论了滞后效应在激光等离子体拍频加速器中的应用。此外,还研究了在双稳态临界点附近朗缪尔波振幅随时间的变化特性。 关键词：     

光学差拍方法测量波片的相位延迟

本文提出了用双频激光器测量波片的相位延迟方法:光学差拍方法,其测量精度为激光波长的1/6000,优于其他的波片测量方法的测量精度。     

短管螺旋波放电中等离子体参数测量和模式转化研究

对长度为45 cm的短放电管螺旋波放电等离子体进行了Langmuir探针、原子发射光谱以及集成电荷耦合检测器(ICCD)检测诊断,研究螺旋波等离子体的放电特性.Langmuir探针数据显示电子密度在射频功率增加过程中出现两次大幅增长,由此确认了放电模式的转换及螺旋波放电模式的出现.发射光谱测量结果与Langmuir探针测量的电子密度数据一致,发现Ar原子和Ar离子的谱线强度与放电模式变化有着密切相关性.而通过对不同放电模式的ICCD测量,获得射频功率吸收因放电模式转变而变化的方式,认为放电模式转换时电子行为和能量传递方式也发生着变化.     

五角棱镜光束转向波前误差的分析与检测

从分析五角棱镜的角度制造误差产生的光学平行差入手,建立起五角棱镜的光输出平面波前与运动误差和角度制造误差产生的扫描激光束转向的波前改变量之间的关系.采用渥拉斯顿棱镜型双频激光干涉仪实时测量五角棱镜的运动误差,即可计算出扫描激光束转向的波前误差,以便在大型望远系统波前测量时对此误差加以修正.     

基于双频激光干涉相位检测的高精度波片测量

波片精度对偏振光学系统性能有着重要的影响,故需要对其相位延迟量和快轴方位角进行高精度测量。提出了一种新型基于双频激光干涉相位检测的高精度波片测量方法,采用双频激光外差干涉光路,利用一个可旋转半波片和一个角锥反射棱镜测量待测波片,可实现任意波片的相位延迟量和快轴方位角的高精度同时测量。所提方法不受波片、偏振片等双折射器件的方位角精度的影响,从原理上避免了该类系统误差。所设计的系统具有共光路结构,测量稳定性高,信号处理采用相位检测方式相对于一般的光强检测方式测量精度更高。此外,所设计的测量系统中元件很少,结构简单,测量过程快捷。误差分析表明,在现有实验条件下,测量系统的波片相位延迟量的测量不确定度约为3.9′,快轴方位角的测量不确定度约为5′′。实验比对结果表明,所提方法的测量结果与其他方法测量结果的一致性很好。重复性测量实验表明,测量结果的标准偏差约为2′。     

等离子体中Langmuir波、横波和离子声波相互作用过程的孤立子行为

我们用Zakharov方程描述等离子体中Langmuir波、横波和离子声波的非线性相互作用,通过研究系统稳态的Sagdeev势的性质,讨论了该系统中孤立子可能存在的条件;同时和体系的极小能量状态相联系,构造了体系的Liapunov泛函,研究了孤立子的Liapunov稳定性。我们所采用的方法是完全非线性的,得到的稳定性判据在横波和Langmuir波解耦情况下退化为文献[8]的结果。 关键词：     

Transient enhancement and detuning of laser-driven parametric instabilities by particle trapping

Kinetic simulations of backward stimulated Raman scattering (BSRS), where the Langmuir wave coherence time is greater than the bounce time for trapped electrons, yield transient reflectivity levels far above those predicted by fluidlike models. Electron trapping reduces the Langmuir wave damping and lowers the Langmuir wave frequency, and leads to a secular phase shift between the Langmuir wave and the BSRS beat ponderomotive force. This phase shift detunes and saturates BSRS and a similar effect, due to ion trapping, is the saturation mechanism for backward stimulated Brillouin scattering. Competition with forward SRS is discussed.     

Pulse broadening and two-frequency mutual coherence function of the scattered wave from rough surfaces

Analytical expressions for the two-frequency mutual coherence function and angular correlation function of the scattered wave from rough surfaces based on the Kirchhoff approximation are presented. The coherence bandwidth depends on the illumination area as well as on the incident and scattered angles and the surface characteristics. Scattered pulse shapes are calculated as the Fourier transform of the two-frequency mutual coherence function. Calculations based on analytical solutions are compared with millimetre wave experimental data and Monte Carlo simulations showing good agreement.     

Lagrange method and boundary conditions for the intensity correlation functions in turbulent media

An exact functional integral representation for the two-point intensity correlation function was previously obtained by the author for a collimated beam wave by solving the moment equation. The variable functions of integration involved therein can be effectively limited to a set of functions determined so that the entire phase term of the integrand becomes stationary against arbitrary variation of the variable functions, exactly according to the Lagrange variational principle in dynamics. The result is free from any expansion and is presented with a set of unperturbed equations of closed form. When making a formal expansion, it leads to the zeroth- and first-order expressions similar to those obtained by an improved two-scale method. With exactly the same procedure, the three-point intensity correlation and the two-frequency intensity correlation were also obtained.The Lagrange method leads to the 'equation of motion' subjected to boundary conditions to continue the phase term from the incident beam wave. The boundary conditions were previously found based on a physical reasoning, while the same conditions are found here purely based an the variational principle. A focused beam wave is assumed for the incident wave, including both spherical and plane waves as special cases.     

White-Noise and Geometrical OpticsLimits of Wigner–Moyal Equation for Beam Waves in Turbulent Media II: Two-Frequency Formulation

We introduce two-frequency Wigner distribution in the setting of parabolic approximation to study the scaling limits of the wave propagation in a turbulent medium at two different frequencies. We show that the two-frequency Wigner distribution satisfies a closed-form equation (the two-frequency Wigner–Moyal equation). In the white-noise limit we show the convergence of weak solutions of the two-frequency Wigner–Moyal equation to a Markovian model and thus prove rigorously the Markovian approximation with power-spectral densities widely used in the physics literature. We also prove the convergence of the simultaneous geometrical optics limit whose mean field equation has a simple, universal form and is exactly solvable     

Pulse broadening and two-frequency mutual coherence function of the scattered wave from rough surfaces

Abstract

Analytical expressions for the two-frequency mutual coherence function and angular correlation function of the scattered wave from rough surfaces based on the Kirchhoff approximation are presented. The coherence bandwidth depends on the illumination area as well as on the incident and scattered angles and the surface characteristics. Scattered pulse shapes are calculated as the Fourier transform of the two-frequency mutual coherence function. Calculations based on analytical solutions are compared with millimetre wave experimental data and Monte Carlo simulations showing good agreement.     

Lagrange method and boundary conditions for the intensity correlation functions in turbulent media*

Abstract

An exact functional integral representation for the two-point intensity correlation function was previously obtained by the author for a collimated beam wave by solving the moment equation. The variable functions of integration involved therein can be effectively limited to a set of functions determined so that the entire phase term of the integrand becomes stationary against arbitrary variation of the variable functions, exactly according to the Lagrange variational principle in dynamics. The result is free from any expansion and is presented with a set of unperturbed equations of closed form. When making a formal expansion, it leads to the zeroth- and first-order expressions similar to those obtained by an improved two-scale method. With exactly the same procedure, the three-point intensity correlation and the two-frequency intensity correlation were also obtained.The Lagrange method leads to the ‘equation of motion’ subjected to boundary conditions to continue the phase term from the incident beam wave. The boundary conditions were previously found based on a physical reasoning, while the same conditions are found here purely based an the variational principle. A focused beam wave is assumed for the incident wave, including both spherical and plane waves as special cases.     

Nonlinear wave damping on an electron hole in a weakly inhomogeneous plasma

Nonlinear damping of the Langmuir wave in a weakly inhomogeneous plasma with a negative concentration gradient is considered. For phase velocities close to the thermal velocity of electrons, their dispersion strongly differs from the linear one and cannot be taken into account by means of a small correction to the linear dispersion law. Based on the energy balance and nonlinear dispersion equations, a dependence of the wave amplitude on its phase velocity is established together with the limiting phase velocity at which the wave is completely damped.     

Nontrapping arrest of Langmuir wave damping near the threshold amplitude

Evolution of a Langmuir wave is studied numerically for finite amplitudes slightly above the threshold which separates damping from nondamping cases. Arrest of linear damping is found to be a second-order effect due to ballistic evolution of perturbations, resonant power transfer between field and particles, and organization of phase space into a positive slope for the average distribution function f(av) around the resonant wave phase speed nu(ph). Near the threshold trapping in the wave potential does not arrest damping or saturate the subsequent growth phase.     

激光等离子体中的强朗缪尔湍动谱分析

通过数值计算完全的萨哈罗夫方程,得到了朗缪尔波能量密度谱图。从一系列的谱图中可以看出,波的塌缩过程是沿着能量密度谱由小波数区域向大波数区域转移,朗缪尔波在塌缩过程中出现成丝现象。通过对获得的朗缪尔波平均能量密度谱进行拟合,得到了朗缪尔波能量密度谱函数。