新型菁类染料聚集体构筑和它的非线性光学特性研究

采用旋涂法制备了一种五甲川菁染料的超薄膜,利用原子力显微,椭偏仪、UV-Vis吸收光谱、红外光谱、小角X射线衍射等对薄膜的形貌和线性光谱性质进行了研究表征,结果表明染料在薄膜中形成了有序而稳定的J-聚集体,前向简并四波混频(DFWM)技术研究表明由于分子的聚集作用引起三阶非线性极化率的增大(χ(3)=2.55×10-12esu),利用激子耦合模型初步分析和讨论了产生非线性效应增强的内在机制。     

亚酞菁:一种新的信息光子学材料

亚酞菁是一种可望在信息光子学技术中获得重要应用的新型染料,其优良的非红性光学性质源于它特有非中心对称三维近平面锥形结构以及较大的共轭体和丰富的π电子,此外,基于它的短波长光学特性,这类材料也可能在高密度光存储中得到应用,文章综述了亚酞菁的一般结构和性能及其在非红性光学和光存储等方面的应用。     

一维分子晶体激子-孤子运动的激子运动学和动力学非线性效应

基于一维分子晶体相邻分子间静态作用势和分子间的(电)偶极-偶极相互作用,采用分子投影算符表示一维分子晶体激子系统的模型哈密顿量.在谐振近似下,根据激子运动学和动力学非线性效应的理解,推导了晶格运动和激子-孤子运动的非线性Klein-Gordon(K-G)耦合运动方程组.发现激子运动学和动力学非线性效应不但对孤子波函数的³,²{²}\{x²}有重要贡献,且导致重要的高阶非线性项,分别对⁵非线性和⁷非线性方程给出了解析解.详细分析非线性方程的Bell型孤子和Kink型孤子解结果,发现激子运动学和动力学非线性效应对激子的有效质量m有显著增加贡献,对激子-孤子能量(Ω)有更负的修正,孤子局域范围更小.对Bell型孤子以超声速(v＞c_s)沿一维键传播,而Kink型孤子以亚声速传播(v＜c_s),它们分别出现在激子能带底部和顶部. 关键词： 一维分子晶体 激子-孤立子 运动学和动力学非线性效应 非线性Klein-Gordon方程     

非线性元件频率响应

用示波器观测4种二极管对交流信号的响应.为了理解响应图形的含义,对响应信号做了Fourier变换,使学生认识到非线性元件对输入信号能产生高次谐波,即产生倍频和多倍频.在非线性伏安特性测量实验中增加了上述内容,激发了学生的学习兴趣.     

Traveling wave solutions for two nonlinear evolution equations with nonlinear terms of any order

In this paper, based on the known first integral method and the Riccati sub-ordinary differential equation (ODE) method, we try to seek the exact solutions of the general Gardner equation and the general Benjamin-Bona-Mahoney equation. As a result, some traveling wave solutions for the two nonlinear equations are established successfully. Also we make a comparison between the two methods. It turns out that the Riccati sub-ODE method is more effective than the first integral method in handling the proposed problems, and more general solutions are constructed by the Riccati sub-ODE method.     

Surface solitons at the interface between semi-infinite linear and thermal nonlinear optical media

We investigate numerically surface-wave solitons occurring at the interface between semi-infinite linear and thermal nonlinear optical media, with the refractive index of the linear medium being greater than that of the nonlinear medium (in the absence of light). We find that the threshold energy flows of the existence of the surface solitons depend on the linear refractive index difference of the two media. Their fitting empirical formula has been obtained. Furthermore, we elucidate that the optical beams propagating in thermal nonlinear optical media, either as a single surface soliton or as a dipole surface soliton, can be attracted to the surface, even when launched from far away.     

Observability analysis of navigation system using point-based visual and inertial sensors

A matrix Kalman filter (MKF) has been implemented for a navigation system using point-based visual and inertial sensors. The observability conditions have been proved by the observability rank criterion based on Lie derivatives. The conditions are: (a) at least one degree of rotational freedom is excited and (b) at least three observed points are not collinear where any two points are linearly independent. Experimental results have demonstrated that the proposed algorithm obtains the same accurate as the line-based algorithm.     

A Study of the Behavioral Controllability for Superposed Kuznetsov-Ma Soliton of the （3＋1）-Dimensional Generalized Nonlinear Schrodinger Equation

Abstract The （3＋1 ）-dimensional variable-coetfficient nonlinear SchrSdinger equation with linear and parabolic traps is studied, and an exact Kuznetsov-Ma soliton solution in certain parameter conditions is derived. These precise expressions indicate that diffraction and chirp factors influence phase, center and widths, while the gain/loss parameter only affects peaks. By adjusting the relation between the maximum accumulated time Tm and the accumulated time To based on maximum amplitude of Kuznetsov Ma soliton, postpone, maintenance and restraint of superposed Kuznetsov-Ma solitons are investigated.     

Semiconductor optical fibres: progress and opportunities

This paper reviews recent progress in the nascent field of semiconductor optical fibres, from the fundamentals through to device demonstration. The incorporation of semiconductor materials into both the step‐index and microstructured fibre geometries provides a route to introducing new optoelectronic functionality into existing glass fibre technologies. Herein, the various fabrication methods that have been developed as of to date are described, and their compatibility with the different semiconductor materials and fibre designs discussed. Results will be presented on the optical transmission properties of several fibre types, with particular attention being paid to the observation of nonlinear propagation in silicon core fibres. Finally, some speculation regarding the future prospects and applications of this new class of fibre will be provided.     

Nonlinear interaction mechanisms of disturbances in supersonic flat-plate boundary layers

Due to the complexity of compressible flows, nonlinear hydrodynamic stability theories in supersonic boundary layers are not sufficient. In order to reveal the nonlinear interaction mechanisms of the rapidly amplified 3-D disturbances in supersonic boundary layers at high Mach numbers, the nonlinear evolutions of different disturbances in flat-plate boundary layers at Mach number 4.5, 6 and 8 are analyzed by numerical simulations. It can be concluded that the 3-D disturbances are amplified rapidly when the amplitude of the 2-D disturbance reaches a certain level. The most rapidly amplified 3-D disturbances are Klebanoff type (K-type) disturbances which have the same frequency as the 2-D disturbance. Among these K-type 3-D disturbances, the disturbances located at the junction of upper branch and lower branch of the neutral curve are amplified higher. Through analyzing the relationship between the amplification rate and the spanwise wavenumber of the 3-D disturbances at different evolution stages, the mechanism of the spanwise wavenumber selectivity of K-type 3-D disturbances in the presence of a finite amplitude 2-D disturbance is explained.