势形式破裂孤子方程的dromion孤子解结构

使用改进的齐次平衡方法,研究了破裂孤子方程的孤子解结构,发现它具有单孤子解,单曲线孤子解,单dromion孤子解,多dromion孤子解。     

多组分耦合非线性薛定谔方程的3-孤子解及其相互作用

研究了带有变系数的N阶耦合非线性薛定谔方程,获得了其3-孤子解,并通过渐近分析和图像分析研究了孤子的相互作用。结果表明,当本征值不同时, 3-孤子解分别为常规孤子、束缚态孤子以及常规孤子和束缚态孤子的组合;当满足特定条件时,常规亮孤子和束缚态亮孤子可实现弹性相互作用,也可实现非弹性相互作用,而暗孤子仅存在非弹性相互作用;对于常规孤子和束缚态孤子的组合,亮孤子分量的相互作用规律较为复杂,受参数取值影响较大,但暗孤子分量依然保持弹性相互作用。     

折射率改变为正的光折变晶体中形成一维光伏暗孤子

提出了一个考虑背景光光伏效应贡献的光伏孤子理论,它指出在折射率变化为正的晶体中,既可产生光伏亮孤子,也可产生光伏暗孤子.当背景光对信号光的有效Glass系数之比为R小于1时,孤子是亮的;R大于1时,孤子是暗的.对亮孤子而言,R值越大,孤子越宽,而对暗孤子,R值越大,孤子越窄.当R为1时,不能形成光伏孤子.一维暗孤子实验结果与理论一致. 关键词： 光折变空间孤子 光伏孤子 暗孤子 正折射率改变     

非局域非线性耦合器中多极亮孤子的特性

研究了一维非局域非线性耦合器中多极亮孤子的存在条件和稳定传输.用牛顿迭代法得到了二极和三极亮孤子.由于较强的非局域响应诱导孤子间的吸引作用比排斥作用大,此时二极孤子不能稳定传输,两孤子相互吸引,融合成一个孤子.随着非局域参数的减小,非线性效应和衍射效应达到平衡时,二极孤子能稳定传播.随着传播常数的减小,孤子的幅值减小,束宽变窄,使得孤子能稳定传播.对于三极亮孤子,在非局域参数较小的时候,耦合的两个三极孤子都不能进行稳定传输.传输一段距离后三极孤子发生碰撞,融合成两极孤子,两极孤子继续传输,最终融合成为一束振荡的光束.随着非局域参数的增大,三极孤子传播的稳定性增强.当传播常数取负数时,随着其绝对值的减小,三极亮孤子的幅值增大,束宽减小,孤子传播的稳定性增强.最后,通过加入白噪声进一步验证了这些亮孤子传播稳定性.     

非拓扑孤子袋模型的退禁闭相变和φ~4场的对称性恢复相变

在Hartree平均场近似和高温近似下,本文建立了φ~4模型和非拓扑孤子袋模型的某些特解间确定的映射关系。从映射关系我们看到φ~4场的非球对称拓扑孤子和反孤子配对形成束缚态——孤子袋模型的非球对称非拓扑孤子解。当拓扑孤子和反孤子消失时,φ~4模型发生对称性恢复相交;当拓扑孤子和反孤子的束缚态非拓扑孤子消失时,孤子袋模型的退禁闭相变发生。     

基于谱过滤方法的Kuznetsov-Ma孤子向准基态孤子转化研究

基于非线性薛定谔方程的Kuznetsov-Ma孤子解,得出零背景的Kuznetsov-Ma孤子形式,给出零背景的Kuznetsov-Ma孤子与准基态孤子之间的关系。利用谱过滤的方法研究单模光纤中Kuznetsov-Ma孤子到准基态孤子转化的动力学行为。结果表明:在Kuznetsov-Ma孤子的最大压缩位置处获取的零背景脉冲能够以准基态孤子的形式在光纤中稳定地传输,并且随着Kuznetsov-Ma孤子物理行为控制参数的增大,更加接近于基态孤子的形式。通过稳定性分析发现,在小的初始白噪声扰动下,准基态孤子会以一定速度稳定传输。     

光孤子与光孤子通信

阐述了光纤中光孤子形成的物理机理及光孤子间相互作用对光孤子通信的影响，介绍了光孤子通信的关键技术－孤子脉冲激光器和光孤子放大器，展望了光孤子通信的应用前景。     

光纤损耗对孤子系统传输的影响

利用分步傅立叶法数值求解了包含光纤损耗效应的非线性薛定谔方程,分别仿真模拟了其对亮孤子和 暗孤子脉冲在各向同性光纤中传输特性的影响.结果表明,随着传输距离的增大,光纤损耗导致基阶亮孤子和暗孤 子的峰值功率减小,脉冲加速展宽.而对于高阶孤子,光纤损耗会破坏高阶亮孤子的周期性变化,但对于高阶暗孤子 的影响几乎与基阶暗孤子相同.因此在光纤损耗参数相同的情况下,暗孤子的相对衰减率比亮孤子的相对衰减率 小,故暗孤子比亮孤子更稳定.     

强双折射光纤中暗孤子的传输特性研究

从光纤双折射参量、背景光宽度、孤子脉冲宽度三方面探讨暗孤子在双折射光纤中远距离传输特性研究表明:相对于亮孤子,暗孤子对光纤双折射的自适应能力较弱;背景光宽度越大,暗脉冲与背景光对比度越好,暗孤子越能保持原来黑孤子状态;暗孤子脉冲宽度越大,偏振脉冲之间的差分群时延越大,诱导的灰孤子震荡结构越明显,越不利于暗孤子远距离传输.     

基于双光子光折变效应的非相干耦合灰光伏孤子族

为了研究开路条件下双光子光伏光折变材料中的灰光伏孤子族,建立了光伏孤子族的动态演化方程,给出了非相干耦合灰光伏孤子族的数值解.采用数值模拟的方法,求解孤子族的数值表达式.结果表明:这种孤子族是由多束偏振方向和波长都相同的互不相干光束耦合形成的.当孤子族只有两个分量时,灰光伏孤子族可以退化成灰-灰光伏孤子对;当孤子的灰度...     

Spatial Temporal Analysis of Electrically-Addressable Phase-Only Spatial Light Modulator

An optically addressed parallel-aligned nematic-liquid-crystal spatial light modulator (PAL-SLM) has been studied as a dynamic phase-only modulation device. A computer control feature of the spatial light modulator is strongly desired for practical applications. For those demands, an electrically-addressable phase-only spatial light modulator has been developed to combine a liquid crystal display (LCD) with a PAL-SLM (LCD-coupled PAL-SLM) and its performance has been reported. However, a temporal characteristic especially two-dimensional (2D) response has not been discussed before. In this paper, 2D response analysis system has been constructed by using a high-speed complementary Metal-Oxide-Semiconductor (CMOS) camera (1000 frames/sec) and the 2D-modulation characteristic of the LCD-coupled PAL-SLM has been observed. As a result, the LCD has a spatially non-uniform modulation characteristic due to a scanning addressing. It has the potential to cause problems in high speed switching for a computer generated hologram. On the other hand, the spatial non-uniformity has not been observed with the LCD-coupled PAL-SLM.     

Calculation of the energy losses of charged particles upon motion near a nanotube within dielectric formalism

A carbon nanotube has been simulated in the form of a cylindrical layer with a given dielectric function, taking into account the temporal dispersion of the medium. Quantization of the intrinsic electrical oscillations of a carbon nanotube electron subsystem has been performed. The polarization potential, which arises when a charged particle moves near a carbon nanotube, has been calculated and the energy loss caused by the excitation of surface plasmons has been obtained.     

Bistability of a “chevron” smectic C* liquid crystal in an external electric field

The system of nonlinear equations describing a surface-stabilized ferroelectric smectic C* liquid crystal in the chevron geometry has been investigated by numerical methods in the framework of the continuum model of liquid crystals. Stable orientational and structural configurations have been studied, and the results obtained have been compared with those derived using simplified models. The height of the potential barrier separating two stable configurations has been determined, and the transition between them under the action of the external electric field has been examined. It has been demonstrated that this effect has a threshold character. The dependence of the threshold field on the film thickness has been analyzed.     

Magnetization and transport characteristics of layered high-temperature superconductors with different anisotropy parameters

The magnetization of a layered high-temperature superconductor with different anisotropy parameters has been calculated using the Monte Carlo method in the framework of a modified three-dimensional Lawrence–Doniach model with actual boundary conditions. The penetration of a magnetic flux into a bulk sample from the boundary has been simulated, and the curves of magnetization reversal of a high-temperature superconductor by an external magnetic field have been calculated for different anisotropy parameters γ and types of defects in the sample. It has been found that there are significant differences in the magnetization curves and transport properties of superconductors with different anisotropy parameters γ. The influence of tilted columnar defects on the critical current has been analyzed. A decreasing dependence of the critical current on the tilt angle of defects with respect to the c axis has been obtained. It has been shown that, as the anisotropy parameter increases, this dependence weakens and, for a specific value of γ, disappears. An explanation of the mechanism responsible for the disappearance of the dependence has been proposed.     

稀土和锕系化合物中重费密子行为

本文采用周期Anderson哈密顿量研究了稀土和锕系化合物中的重费密子行为。对f电子间库仑关联项做了平均场近似并引入自能项反映多体作用的效应。对自能项采用了单格位近似,在准粒子表象中讨论了系统的性质,通过对f电子平均占据数的自洽计算,得到了准粒子有效质量,讨论了形成重费密子的条件,以及相应的磁性的变化,并做了数值计算。所得结果与最近的实验进行了比较。 关键词：     

Family of graphene-based superconducting devices

A family of highly sensitive devices based on a graphene nanobridge and superconducting electrodes has been developed, manufactured, and examined. These devices can be used to create a graphene-based integral receiver. A cold-electron bolometer prototype with superconductor-insulator-normal metal tunnel junctions has been studied. Its response to a change in the temperature and external microwave radiation has been measured. A superconducting quantum interferometer with a graphene strip as a weak coupling between superconducting electrodes has been examined. The corresponding modulation of the voltage by a magnetic field at a given current has been measured. The effect of the gate voltage on the resistance of graphene has been analyzed for these samples. To confirm that graphene is single-layer, measurements with the reference samples were performed in high magnetic fields, displaying the half-integer quantum Hall effect.     

Maximally Entangled States of a Two-Qubit System

Entanglement has been explored as one of the key resources required for quantum computation, the functional dependence of the entanglement measures on spin correlation functions has been established, correspondence between evolution of maximally entangled states (MES) of two-qubit system and representation of SU(2) group has been worked out and the evolution of MES under a rotating magnetic field has been investigated. Necessary and sufficient conditions for the general two-qubit state to be maximally entangled state (MES) have been obtained and a new set of MES constituting a very powerful and reliable eigen basis (different from magic bases) of two-qubit systems has been constructed. In terms of the MES constituting this basis, Bell’s States have been generated and all the qubits of two-qubit system have been obtained. It has shown that a MES corresponds to a point in the SO(3) sphere and an evolution of MES corresponds to a trajectory connecting two points on this sphere. Analysing the evolution of MES under a rotating magnetic field, it has been demonstrated that a rotating magnetic field is equivalent to a three dimensional rotation in real space leading to the evolution of a MES.     

Evaporation waves in a metastable single-component liquid

In this paper, evaporation waves appearing at rapid depressurization of a vessel filled with liquid Freon R11 have been investigated experimentally. Regimes with a high-speed evaporation front have been revealed. It has been shown that the disintegration of a metastable liquid takes place in the form of a surface evaporation wave with a cellular structure of the front and anomalously high values of the coefficient of heat transfer from the liquid. The dependence of the evaporation front velocity on the initial temperature of the liquid has been obtained. A critical temperature value below which evaporation waves are not observed has been determined. Visualization of the evaporation front structure and dynamics with the use of a high-speed video camera has been performed. It has been found that the evaporation front motion has a pulsatory character. A method to calculate the surface evaporation wave with a quasi-plane interphase boundary has been developed. It is based on a model of nonequilibrium evaporation of the liquid and experimentally measured coefficients of the heat transfer from the liquid.     

Analysis and design of ring-resonator integrated hemi-elliptical lens antenna at terahertz frequency

In this paper, a novel lens integrated ring-resonator microstrip antenna is analyzed and simulated at 600 GHz. A mathematical model to compute the directivity of this kind of the antenna has been developed and the directivity of the antenna has been computed which is 18 dBi. The proposed model has been simulated by using CST Microwave Studio a commercially available simulator based on finite integral technique and similar result has been obtained. Further, the directivity of the antenna has also been computed by using the techniques reported in the literature and in this case also we have obtained the similar result. Later, a probe-fed patch integrated lens antenna has also been investigated to validate the correctness of the numerical method. To find the potential advantages of this kind of the structure, the ? 10 dB impedance bandwidth of the antenna has been compared to a lens-integrated probe-fed microstrip patch antenna and a significant enhancement in the bandwidth has been observed.     

Quantum model of the prolate spheroidal Thomson hydrogen atom

In a uniformly charged prolate spheroidal Thomson hydrogen atom the electron states have been investigated. It has been shown from the mathematical point of view that the problem is equivalent to a spheroidal hydrogen atom in a parabolic potential with the cylindrical symmetry. In the framework of adiabatic approximation, the energy of ground state has been calculated. Comparison with the case of uncharged spheroidal quantum dot has been made, and the analytical form of wave function of electron has been also obtained.