The Enhancement of Efficiency of High-order Harmonic in Intense Laser Field Based on Asymptotic Boundary Conditions and Symplectic Algorithm

Asymptotic boundary condition (ABC) of laser-atom interaction presented recently is applied to transform the initial value problem of the time-dependent Schrödinger equation (TDSE) in infinite space into the initial and boundary value problem in the finite space, and then the TDSE is discretized into linear canonical equations by substituting the symmetry difference quotient for the 2-order partial derivative. The canonical equation is solved by symplectic algorithm. The ground state and the equal weight coherent superposition of the ground state and the first excited state have been taken as the initial conditions, respectively, while we calculate the population of bound states, the evolution of average distance and the high-order harmonic generation (HHG). The conversion efficiency of HHG can be enhanced by initial coherent superposition state and moderate laser intensities     

高次非球面光路计算中的两个重要问题

提出在高次非球面的光路计算中运用变曲率的“辅助球面”概念,对某些文献在此方面存在的问题进行分析,提出迭代逼近精度的数值判据及浮动处理方法。     

High-Order Leap-Frog Based Discontinuous Galerkin Method for the Time-Domain Maxwell Equations on Non-Conforming Simplicial Meshes

A high-order leap-flog based non-dissipative discontinuous Galerkin timedomain method for solving Maxwell's equations is introduced and analyzed. The proposed method combines a centered approximation for the evaluation of fluxes at the interface between neighboring elements, with a Nth-order leap-frog time scheme. Moreover, the interpolation degree is defined at the element level and the mesh is refined locally in a non-conforming way resulting in arbitrary level hanging nodes. The method is proved to be stable under some CFL-like condition on the time step. The convergence of the semi-discrete approximation to Maxwell's equations is established rigorously and bounds on the global divergence error are provided. Numerical experiments with highorder elements show the potential of the method.     

Zero-ϕeff non-Bragg gap solitons in 1D Kerr polaritonic/metamaterial heterostructures

A theoretical study of one-dimensional heterostructures composed of alternate layers of a Kerr polaritonic material and a linear dispersive metamaterial is performed. For frequency values at the edges of the non-Bragg zero-ϕ_eff gap of the heterostructure in the linear regime, a switching from very low to high transmission states is obtained and localized gap solitons of various orders are found, depending on the particular value of the incident power. Soliton solutions are shown to be robust with respect to absorption effects and a study is presented for gap soliton phases at the top and bottom of the zero-ϕ_eff gap in the case of defocusing and focusing nonlinearities.     

二维非线性光子晶体中的高阶准相位匹配谐频

在二维正方晶格的周期性极化铌酸锂晶体中，通过调节基频光波长实现了皮秒光束的高阶共线及非共线准相位匹配谐频过程，在垂直于入射光束的方向上观察到了多对红、绿、蓝三种颜色的谐频光斑.同时，通过改变晶体的入射角度也实现了基频光的高阶谐频过程.实验与理 论符合得很好，这一结果对光电子集成及紧凑器件的研究发展有重要的指导意义. 关键词： 高阶准相位匹配 二维非线性光子晶体 频率转换     

The density wave in a new anisotropic continuum model

In this paper the new continuum traffic flow model proposed by Jiang et al is developed based on an improved car-following model, in which the speed gradient term replaces the density gradient term in the equation of motion. It overcomes the wrong-way travel which exists in many high-order continuum models. Based on the continuum version of car-following model, the condition for stable traffic flow is derived. Nonlinear analysis shows that the density fluctuation in traffic flow induces a variety of density waves. Near the onset of instability, a small disturbance could lead to solitons determined by the Korteweg-de-Vries （KdV） equation, and the soliton solution is derived.     

强非局域非线性介质中光束传输的空间光孤子解

利用1+2维Snyder-Mitchell模型讨论了柱坐标系下光束传输过程，得到了强非局域非线性介质中光束稳定传输的拉盖尔高斯型解，即空间光孤子解，并得到了入射光束稳定传输的临界功率.图示展现了几个低阶光孤子解，并发现了强非局域非线性介质中存在圆环形光孤子. 关键词： 强非局域非线性介质 拉盖尔高斯(Laguerre-Gauss)解 高阶空间光孤子     

亮孤子在宇称时间对称波导中的传输和控制

基于光波在宇称-时间(PT)对称波导中传输的理论模型, 数值研究了亮孤子在呈高斯分布的PT对称克尔非线性平板波导中的传输和控制. PT对称波导, 要求波导的折射率分布呈偶对称, 而增益/损耗分布呈奇对称. 结果表明: 当波导的折射率分布强度为正时, PT对称波导的中心折射率最大, 即使没有自聚焦克尔非线性效应, PT对称波导也可以束缚光波, 形成波浪形光束且长距离传输; 当折射率分布强度为负时, PT对称波导的中心折射率最小, 光波的传输方向发生偏移. 而增益/损耗分布可控制光波的偏移方向: 增益/损耗分布强度为正, 光波向左偏移; 强度为负, 光波向右偏移; 强度为零时, 光波被分为两束. 且当折射率分布强度为负时, 可以很好地抑制相邻亮孤子间的相互作用. 该研究结果可为未来PT对称波导在全光控制方面的应用提供一定的理论依据.     

插入式永磁低速同步电机非奇异终端滑模观测器设计

提出一种以d-q同步旋转坐标系下, 电流为观测对象的插入式永磁同步电机的非奇异高阶终端滑模观测器, 用来获得高性能矢量控制系统所必需的电机转子位置及速度信息. 采用非奇异终端滑模控制, 提高了观测器的动态响应速度及鲁棒性, 利用高阶滑模控制技术的特性, 有效地抑制了传统滑模控制的抖振现象. 同时给出了转速环及电流环调节器的参数设计方法, 转速环调节器采用积分反馈算法, 电流环调节器使用前馈解耦内模控制技术 ,参数在线调整简单. 将该算法应用到2 MW永磁同步低速电机无传感器控制系统中, 实验结果表明, 该方法能够准确计算出电机的位置和速度, 使系统具有良好的稳态精度和动态性能.     

Coupling and stability of bright holographic soliton pairs

The coupling effect and stability property of symmetric bright holographic soliton pairs have been investigated numerically. Results show that when any one of the two solitary beams from a pair is perturbed in amplitude or width, both beams will be affected by such a perturbation via the coupling effect between the beams, thus resulting in both beams propagating in the medium without a constant shape; however, these two solitary beams are still stable against small perturbations. When both solitary beams from a pair are perturbed simultaneously in amplitude, for some given absolute values of the perturbations, the two beams are stable against these perturbations if both beams are perturbed with the same sign, whereas are unstable with the different signs. When the two beams are simultaneously perturbed in width, both beams exhibit their stability property similar to that when only one beam is perturbed no matter whether both perturbations have the same or different signs.