有机聚合物的非线性光学

有机聚合物是一类非常重要的非线性光学材料,这是因为它在光通信和高密度光存储等高技术领域中有良好的应用前景。有机聚合物的非线性光学性质是过去２０年来理论和实验的重要研究课题。文章在简要介绍非线性光学之后,着重论述了有机聚合物光学非线性的来源和这些材料中二阶、三阶非线性光学效应及非线性光吸收的特点。最后,简要介绍了作者在有机聚合物非线性光学研究中几个近期结果,如“全光极化、三阶光学非线性的激发态增强、     

激子效应对双曲型量子线中非线性光学吸收率的影响

本文研究了双曲型量子线的三阶非线性光学吸收率,着重研究了激子对其影响,并且利用密度矩阵算符理论导出了三阶非线性光学吸收率的解析表达式。最后,以A1GaAs/GaAs双曲型量子线为例作了数值计算。数值结果表明,当线宽增加时,激子效应对三阶非线性光学吸收率的影响越来越弱,特别是,当线宽接近于扩散长度时,激子效应将显着减弱。     

非对称量子阱中非线性光学吸收系数的计算

非对称量子阱中的非线性光学效应因其潜在的实用价值而引起人们的广泛关注,而量子阱内带间的光学吸收问题对研究远红外光学探测器件具有重要的理论指导意义.以Pschl-Teller势阱为例研究了影响非对称量子阱中的非线性光学吸收系数的因素.考虑到带间的电子弛豫,用量子力学中的密度矩阵算符理论导出了Pschl-Teller势阱中的线性与三阶非线性光学吸收系数的表达式.因该势阱中有两个可调参数,通过调节系统的参数,发现该系统的非线性光学吸收系数呈规律性的变化.以典型的GaAs/AlGaAs非对称量子阱为例作了数值计算,通过调节系统的参数,数值计算结果表明,入射光强以及系统的非对称性对量子阱的非线性光学吸收系数有较大的影响,从而为实验上研究非对称量子阱的非线性光学效应提供了必要的理论依据.     

非中心对称介质构成的光波导中的孤子传输

众所周知,由非线性Schr?dinger方程描述的光学孤子可以在光纤(由中心对称介质构成的光波导)中稳定传输。本文在理论上证明,在强色散的条件下,非中心对称介质构成的光波导中(比如薄膜波导,晶体光纤等),同样可传输这种光学孤子。由于定义了等效折射率系数,本文的结果还可用来讨论此类波导中与非线性折射率相关的其他非线性光学效应,比如自相位调制效应等。 关键词：     

C60的光物理及其非线性光学特性

介绍了Ｃ６０和Ｃ７０等富氏烯类化合物的光学及物理特征，描述它们的吸收光谱、荧光光谱和单态及三重的光物理特性。富氏分子具有大的非定域π电子，预期具有大的快速响应的三阶非线性光学效应。     

有机材料ZnTBP-CA-PhR的非线性吸收和光学限幅性能

报道了一种新型有机材料ZnTBP-CA-PhR的光学非线性吸收特性，此材料在激光作用下，在可见光区域具有反饱和吸收，再反饱和吸收和饱和吸收效应.同时发现该材料优良的光学限幅性能，不仅光限幅的阈值低，而且限幅前光透射呈线性状态没有光学非线性效应.用5能级结构模型及速率方程模拟了饱和及反饱和的实验曲线，分析了非线性吸收等的物理机理.     

有机材料ZnTBP—CA—PhR的非线性吸收和光学限幅性能

报道了一种新型有机材料znTBP—CA—PhR的光学非线性吸收特性，此材料在激光作用下，在可见光区域具有反饱和吸收，再反饱和吸收和饱和吸收效应．同时发现该材料优良的光学限幅性能，不仅光限幅的阈值低，而且限幅前光透射呈线性状态没有光学非线性效应．用5能级结构模型及速率方程模拟了饱和及反饱和的实验曲线，分析了非线性吸收等的物理机理．     

基于Z扫描系统的石墨烯非线性吸收特性研究

利用Z扫描系统研究了多层石墨烯非线性光学吸收特性。结果表明多层石墨烯在激光作用下具有反饱和吸收特性,且非线性折射系数为正。随着层数增大,非线性光学吸收系数减少得慢一些。基于微观尺寸效应,2～5层石墨烯的叠层方式也会影响到非线性吸收系数的值。另外,激光的强度、中心波长和脉宽等因素都会影响样品非线性光学吸收系数的结果。石墨烯具有非常优良的非线性光学特性,为其制成非线性光学器件提供了有效的实验依据。     

亚皮秒光整流效应

介绍了亚皮秒光整流效应的原理及其应用。亚皮秒光整流效应是一种特殊的非线性光学效应，是指利用亚皮秒脉冲激光和非线性介质的相互作用而产生低频电极化场（ＴＨｚ）的过程。这种低频电极化场可以产生超快电磁波辐射。它可以作为一种非接触探测手段来研究非线性性材料的电光效应，测量非线性材料的二阶非线性极化张量元之间的比值。     

非线性光学与光学教学

在简要介绍非线性光学的基础上说明非线性光学不仅是强光光学。在低功率激光、非相干光下,仍存在丰富多彩的非线性光学现象。因此在有关的光学课程中应改进其非线性光学部分的教学。     

Chaos from nonlinear Markov processes: Why the whole is different from the sum of its parts

Nonlinear Markov processes have been frequently used to address bifurcations and multistability in equilibrium and non-equilibrium many-body systems. However, our understanding of the range of phenomena produced by nonlinear Markov processes is still in its infancy. We demonstrate that in addition to bifurcations and multistability nonlinear Markov processes can exhibit another key phenomena well known in the realm of nonlinear physics: chaos. It is argued that chaotically evolving process probabilities are a generic feature of many-body systems exhibiting nonlinear Markov processes even if the isolated subsystems do not exhibit chaos. That is, when considering a nonlinear Markov process as an entity of its own type, then the nonlinear Markov process in general is qualitatively different from its constituent subprocesses, which reflects that the many-body system as a whole is different from the sum of its parts.     

舰船壳体结构噪声分离技术研究——非线性频谱特征及特征谱分离策略

为分离舰船壳体结构非线性系统的结构噪声,考虑其非线性及响应谱特征,将其理想成纯输入非线性系统,采用Volterra级数模型计算其广义频响函数,获得非线性频谱特征,提出非线性系统噪声源分析策略,并进行数值仿真和试验研究,其结果表明:非线性频谱特征合理存在;提出的非线性系统噪声源分析策略合理有效,可实现系统激励源和广义频响函数的参数估计。非线性频谱特征及提出的非线性系统噪声源分析策略,为深入开展舰船壳体结构噪声的非线性特征识别及其特征谱分离研究提供基础。      

紫外晶体CsLiB6O10混频允许参量范围的数值分析

模拟计算了CLBO晶体混频的相位匹配角、有效非线性系数、走离角、允许角和允许波长的理论曲线。通过与BBO晶体的比较，得到了CLBO晶体的混频作用具有走离角小、允许参量范围宽的结论。     

Anwendung der Methode der Saatgutbestrahlung vor der Aussaat mit γ-Quanten zur Steigerung des Ertrags landwirtschaftlicher Kulturen

The use of the minicomputer K 1003 for estimation of binding parameters by nonlinear regression analysis of RIA-data is reported. The mathematical fundamentals of nonlinear regression analysis by use of Gauss – Newton-Algorithm and its application on the computer K 1003 is briefly explaned. Equations for some easy binding models and its derivativs are presented. The advantage of nonlinear regression analysis over its linear expression (e.g. Scatchard plot) is demonstrated.     

Sudden Vanishing of Atomic Dipole-Squeezing in a Kerr Nonlinear Blackbody

The dynamics of atomic dipole momentum and atomic dipole-squeezing effect are investigated inside a Kerr nonlinear blackbody. It is found that in a Kerr nonlinear blackbody, the atomic dipole momentum and its squeezing effect are heavily dependent on the Kerr nonlinear coefficient. It is also found that below a transition temperature T _c , the dipole momentum and its squeezing effect in a Kerr nonlinear blackbody can vanish much faster with time than those in a normal blackbody. Above T _c , the Kerr nonlinear blackbody becomes a normal blackbody, and the dynamics of the atomic dipole momentum and its squeezing effect behaves as those in normal blackbody radiation. The physical origin of the sudden-vanishing phenomenon in a Kerr nonlinear blackbody is also discussed.     

Eddy viscosity for time reversing waves in a dissipative environment

We present new results for the time reversal of weakly nonlinear pulses traveling in a random dissipative environment. Also we describe a new theory for calculating the eddy viscosity for weakly nonlinear waves propagating over a random surface. The turbulent viscosity is calculated from first principles, namely, without imposing any stress-strain hypothesis. A viscous shallow water model is considered and its effective viscosity characterized. We also show that weakly nonlinear waves can still be time reversed under weak dissipation. Incoherently scattered signals are recompressed, both for time reversal in transmission as well as in reflection. Under the weakly nonlinear, weakly dissipative regime, dissipation only affects the refocused pulse profile regarding its amplitude, but its shape is not corrupted. Numerical experiments are presented.     

Nonlinear Super Integrable Couplings of Super Dirac Hierarchy and Its Super Hamiltonian Structures

We construct nonlinear super integrable couplings of the super integrable Dirac hierarchy based on an enlarged matrix Lie superalgebra. Then its super Hamiltonian structure is furnished by super trace identity. As its reduction, we gain the nonlinear integrable couplings of the classical integrable Dirac hierarchy.     

Strongly nonlinear beats in the dynamics of an elastic system with a strong local stiffness nonlinearity: Analysis and identification

We consider a linear cantilever beam attached to ground through a strongly nonlinear stiffness at its free boundary, and study its dynamics computationally by the assumed-modes method. The nonlinear stiffness of this system has no linear component, so it is essentially nonlinear and nonlinearizable. We find that the strong nonlinearity mostly affects the lower-frequency bending modes and gives rise to strongly nonlinear beat phenomena. Analysis of these beats proves that they are caused by internal resonance interactions of nonlinear normal modes (NNMs) of the system. These internal resonances are not of the classical type since they occur between bending modes whose linearized natural frequencies are not necessarily related by rational ratios; rather, they are due to the strong energy-dependence of the frequency of oscillation of the corresponding NNMs of the beam (arising from the strong local stiffness nonlinearity) and occur at energy ranges where the frequencies of these NNMs are rationally related. Nonlinear effects start at a different energy level for each mode. Lower modes are influenced at lower energies due to larger modal displacements than higher modes and thus, at certain energy levels, the NNMs become rationally related, which results in internal resonance. The internal resonances of NNMs are studied using a reduced order model of the beam system. Then, a nonlinear system identification method is developed, capable of identifying this type of strongly nonlinear modal interactions. It is based on an adaptive step-by-step application of empirical mode decomposition (EMD) to the measured time series, which makes it valid for multi-frequency beating signals. Our work extends an earlier nonlinear system identification approach developed for nearly mono-frequency (monochromatic) signals. The extended system identification method is applied to the identification of the strongly nonlinear dynamics of the considered cantilever beam with the local strong nonlinear stiffness at its free end.     

Nonlinear finite-time Lyapunov exponent and predictability

In this Letter, we introduce a definition of the nonlinear finite-time Lyapunov exponent (FTLE), which is a nonlinear generalization to the existing local or finite-time Lyapunov exponents. With the nonlinear FTLE and its derivatives, the limit of dynamic predictability in large classes of chaotic systems can be efficiently and quantitatively determined.     

三质点单自由度非线性振动特性分析

设计一个非线性振动实验装置，建立系统的动力学方程，用计算机数值计算并画出相图和运动图，对非线性振动的性质进行了分析。