反馈调QCO_2激光器的光学多稳性与不稳性

本文发现在CO_2激光器的腔内插入一个电光调制器,利用正比于输出光的光电转换信号反馈调节激光器的Q值,可以实现光学双稳性与多稳性.文中建立了描述这一系统的数学模型,它由三个一阶非线性微分方程描述,其稳态模型显示了光学双稳性和多德性特点,理论分析和数值计算都证实了这一结果.     

半导体超晶格子带间跃迁的光学双稳

运用Kronig-Penney(KP)模型的新形式,研究半导体超晶格中子带间跃迁的光学双稳特性。由二子能带模型密度矩阵方法,导出了子带间光跃迁的Maxwell-Bloch(MB)方程。从MB方程的定态解出发,得到了环形腔中超晶格子带间跃迁的光学双稳态方程,进而讨论了这种光学双稳的特点以及实现的条件。 关键词：     

多光子光学双稳性的复振幅解析分析

本文应用线性化稳定性分析方法,对用半经典的麦克斯韦-布赫(Maxwell-Bloch)方程描述的多光子光学双稳性进行了复振幅分析.分析的结果表明:在对极化量进行绝热消除后,多光子光学双稳性特性曲线上合作支和单原子支不存在失稳问题,同时说明由软模不稳定性引起的多光子光学双稳性的混沌态不存在,并指出稳定性的第三个条件是双稳性存在的条件.     

离子晶格非简谐振动引起的光学非线性与增强吸收型光双稳

处理了光场（电磁场）与离子晶体的非简谐性振动之间的相互作用问题。导出了用简正坐标即声子模式所表达的非线性晶格动力学和非线性宏观极化。在旋转波近似下，得到在入射光驱动下光子－声子耦合体系的总的相干性哈密顿算符。通过相应的静态方程证明该耦合系统会出现增强吸收型光学双稳性，这也就证明了光场与各种玻色子型固体元激发，如光频支声子和半导体中激子的非线性耦合可以作为增强吸收型光双稳的机制。     

金属/电介质颗粒复合介质光学双稳的温度效应

应用有效媒质近似，结合自洽平均场理论和谱表示方法，研究了金属电介质颗粒复合介质的光学双稳行为与温度的关系.数值计算了不同的入射频率、体积分数和形状因子下光学双稳的温度效应，结果发现，温度对光学双稳的产生、双稳阈值及阈值宽度有很大影响. 关键词： 复合介质 光学双稳 谱表示 温度     

稳定和非稳定激光谐振腔中的自再现模讨论

本文通过菲涅耳-基尔霍夫衍射积分方法,推导了一般稳定和非稳定球面镜谐振腔中自再现模的解析表达式,揭示了从稳定腔变为非稳腔过程中自再现模的变化规律.进一步地,本文在几何光学近似条件下得到了非稳腔的自再现模,通过与衍射积分结果对比,发现基于几何光学近似得到的非稳腔最低阶偶对称模(即基模)和最低阶奇对称模的空间分布与衍射积分结果一致.而对于更高阶的自再现模,当非稳腔接近稳定腔时,几何光学近似得到的自再现模空间分布和衍射积分结果之间存在较大差异.本文的结果可以作为激光原理教学内容的重要补充.     

颗粒复合介质在高温下的光学双稳特性

利用Maxwell-Garnett近似，结合谱表示方法，理论研究了金属/绝缘颗粒复合介质的光学双稳特性随环境温度的依赖关系.数值结果表明，体系的光学双稳区域随环境温度的升高而逐渐变窄，甚至消失.还进一步研究了复合体系的折射系数和消光系数随温度的变化关系. 关键词： 颗粒复合介质 光学双稳     

648nm激光雪崩抽运掺Tm晶体的本征光学双稳特性研究

理论研究了648nm激光雪崩抽运掺Tm晶体的本征光学双稳态.根据系统的非线性速率方程理论,推导出了稳态近似下雪崩阈值的解析表达式,数值研究了光子雪崩动力学响应、本征光学双稳性以及系统参数对光学双稳态的影响等.研究结果表明,648nm激光抽运下可以观察到掺Tm激光晶体的2μm荧光辐射本征光学双稳态,通过改变可控的实验参数能够实现对光学双稳回线环的形状调节. 关键词： 光学双稳 动力学 掺Tm晶体 光子雪崩     

普适性的光学双稳及激光动力学方程和稳定性分析

本文从慢包络近似的麦克斯韦方程出发,在优质腔极限下,结合腔的边界条件与平均场极限,建立了适用于任何物质的光学双稳系统及相应的激光系统的动力学方程;并通过对方程的线性稳定性分析,得到了一个普适性的失稳判据。 关键词：     

648nm激光雪崩抽运掺Tm晶体的本征光学双稳特性研究

理论研究了648nm激光雪崩抽运掺Tm晶体的本征光学双稳态.根据系统的非线性速率方程理论，推导出了稳态近似下雪崩阈值的解析表达式，数值研究了光子雪崩动力学响应、本征光学双稳性以及系统参数对光学双稳态的影响等.研究结果表明，648nm激光抽运下可以观察到掺Tm激光晶体的2μm荧光辐射本征光学双稳态，通过改变可控的实验参数能够实现对光学双稳回线环的形状调节.     

光学双稳性临界点的相变行为

本文详细地讨论了光学双稳性(OB)的临界现象。理论分析主要以忽略量子涨落的Fokker-Plank方程的静态解为基础。结果发现,OB的临界现象可以纳入Landau二级相变理论的框架,并且有关临界指数之间的关系也服从标度律。 关键词：     

Improved Speed and Shape of Ion-Acoustic Waves in a Warm Plasma

The basic set of fluid equations can be reduced to the nonlinear Kortewege-de Vries (KdV) and nonlinear Schrödinger (NLS) equations. The rational solutions for the two equations has been obtained. The exact amplitude of the nonlinear ion-acoustic solitary wave can be obtained directly without resorting to any successive approximation techniques by a direct analysis of the given field equations. The Sagdeev's potential is obtained in terms of ion acoustic velocity by simply solving an algebraic equation. The soliton and double layer solutions are obtained as a small amplitude approximation. A comparison between the exact soliton solution and that obtained from the reductive perturbation theory are also discussed.     

The Micro-Theory of Ultra-Short Pulse Propagating in Nonlinear Fiber

The modified quantum nonlinear Schrodinger equation of ultra-short pulse propagating in fiber is derived using dispersion relation and the Hamiltonian of the transmission system. The derived equation is solved with linearization approximation, and modulation instability is analyzed. The equation is also solved with Hartree approximation. The results indicate that pulse power, loss and self-steeping effect change the critical frequency, the maximum gain and the gain spectrum range, but the third order dispersion has no effect on modulation instability. The expectation value of optical field is average of a set of modified classical solitons, and higher order terms change the amplitude, pulse position and phase of soliton.     

四能级原子量子相干过程中瞬态光学特性

利用半经典理论研究了N-型四能级相干原子的瞬态光学特性。理论分析表明：当信号光开启的瞬间，介质对探针光的非线性吸收从接近于零的状态迅速增加，经过驰豫振荡过程，趋于稳定状态。本文的研究结果将为吸收型光子开关的设计提供理论依据和参考。     

A continuous-mode model of the mode locking in a pump-modulated laser

The active mode-locking process of the multimode laser with an external pump modulation is theoretically investigated in the frequency domain within the framework of the continuous-mode approximation. Intermode interaction and mode-coupling effects, including both AM and FM modulations, are naturally considered in a hierarchical equation of the mode components derived from the multimode Maxwell-Bloch equations. It is reduced to a continuous-mode equation that can be solved analytically in a stationary case, and used to discuss the spectral line shape and the phase dynamics of mode-components as a function of modulation amplitude and detuning of the modulation frequency. We predict a novel oscillation existing below the threshold of the ordinary complete mode-locking: The intensity of the total electric field yields a stable pulse train but its phase varies irregularly in time. This semi-locked state is characterized by a nonlinear chirping, an asymmetric spectrum, and drifting phases of the field mode-components.     

Optical filaments and optical bullets in dispersive nonlinear media

We have investigated the evolution of picosecond and femtosecond optical pulses governed by the amplitude vector equation in the optical and UV domains. We have written this equation in different coordinate frames, namely, in the laboratory frame, the Galilean frame, and the moving-in-time frame and have normalized it for the cases of different and equal transverse and longitudinal sizes of optical pulses or modulated optical waves. For optical pulses with a small transverse size and a large longitudinal size (optical filaments), we obtain the well-known paraxial approximation in all the coordinate frames, while for optical pulses with relatively equal transverse and longitudinal sizes (so-called light bullets), we obtain new non-paraxial nonlinear amplitude equations. In the case of optical fields with low intensity, we have reduced the nonlinear amplitude vector equations governing the light-bullet evolution to the linear amplitude equations. We have solved the linear equations using the method of Fourier transform. An unexpected new result is the relative stability of light bullets and the significant decrease in the diffraction enlargement of light bullets with respect to the case of long pulses in the linear propagation regime.     

Simulation of unsteady combustion in a solid-propellant rocket motor

Various regimes of combustion in end-burning-grain solid-propellant rocket motors were examined within the framework of the phenomenological theory of unsteady combustion. A system of equations capable of describing the interaction between the process of burning and acoustic waves was derived. A specific feature of the problem is that its formulation involves two characteristic times: the acoustic time and oscillation amplitude variation time. These characteristic times differ by about three orders of magnitude, a circumstance that requires a high accuracy of calculations. Based on the quadratic approximation in oscillation amplitude, a simpler method for solving the problem was proposed, according to which only the effects associated with the oscillation amplitude variation time are taken into account. Numerical results were obtained for the simplest model of propellant burning, which contains the minimum number of parameters and disregards entropy waves in the combustion products. The steady and unsteady regimes of burning were identified. In the latter case, nonlinear effects may generate shock waves in the combustion chamber.     

Fluorescence Quenching of UVITEX‐OB by Aniline in Alcohols and Alkanes

Fluorescence quenching of UVITEX‐OB [2,5‐thiophenediylbis(5‐tert‐butyl‐1,3‐benzoxazole)] by aniline in different polar and nonpolar solvents was examined at room temperature by steady‐state fluorescence measurements. Positive deviations from the nonlinear Stern–Volmer plots were observed in most of the solvents indicating the extent of quenching to be large. The quencher concentration dependence data were analyzed using ground‐state complex and sphere of action static quenching models in order to interpret the results. The magnitudes of the quenching rate parameters suggest that a sphere of action static quenching model is expected to describe the data most accurately. Also, the results are suggestive of both static and dynamic quenching processes being responsible for the observed positive deviation in the Stern–Volmer plot. Experimental results are described by an equation derived using the finite sink approximation model, which allows the evaluation of diffusion‐limited interaction and the estimation of encounter distance and mutual diffusion coefficient independently.     

Oscillation death in coupled oscillators

We study dynamical behaviors in coupled nonlinear oscillators and find that under certain conditions, a whole coupled oscillator system can cease oscillation and transfer to a globally nonuniform stationary state [i.e., the so-called oscillation death (OD) state], and this phenomenon can be generally observed. This OD state depends on coupling strengths and is clearly different from previously studied amplitude death (AD) state, which refers to the phenomenon where the whole system is trapped into homogeneously steady state of a fixed point, which already exists but is unstable in the absence of coupling. For larger systems, very rich pattern structures of global death states are observed. These Turing-like patterns may share some essential features with the classical Turing pattern.      

High speed microtribology with quartz crystal resonators

Quartz resonators in contact with metal-covered spheres have been used to study the tribology of micron-sized metal-metal contacts at high speed (1 m/sec and high frequency (12 MHz), while maintaining a shear amplitude in the nanometer range. The data aquisition is based on ring-down experiments, where the electrical excitation is periodically interrupted and the free decay of the oscillation is analyzed. At contact, an amplitude-dependent frequency and decay rate are found, indicative of an underlying nonlinear equation of motion. Using perturbation theory and the two-timing approximation, a nonlinear spring constant kappa(1)(x) and a nonlinear drag coefficient xi(1)(x) are explicitly derived. We find a local slip-to-stick-transition at a shear amplitude of 0.5 nm. Coating the gold sufaces with a self-assembled thiol monolayer removes the stick.