Exact solutions for nonlinear Schr?dinger equation in phase space: applications to Bose－Einstein condensate

The stationary-state nonlinear Schr?dinger equation, which models the dilute-gas Bose－Einstein condensate, is introduced within the framework of the quantum phase-space representation established by Torres-Vega and Frederick. The exact solutions of equation are obtained in the phase space, by means of the wave-mechanics method. The eigenfunctions in position and momentum spaces are obtained through the ‘Fourier-like' projection transformation from the phase space eigenfunctions. The eigenfunction with a hypersecant part is discussed as an example.     

A new type of Lie symmetrical non-Noether conserved quantity for nonholonomic systems

For a nonholonomic system, a new type of Lie symmetrical non-Noether conserved quantity is given under general infinitesimal transformations of groups in which time is variable. On the basis of the invariance theory of differential equations of motion under infinitesimal transformations for t and q_s, we construct the Lie symmetrical determining equations, the constrained restriction equations and the additional restriction equations of the system. And a new type of Lie symmetrical non-Noether conserved quantity is directly obtained from the Lie symmetry of the system, which only depends on the variables t, q_s and \dot{q}_s. A series of deductions are inferred for a holonomic nonconservative system, Lagrangian system and other dynamical systems in the case of vanishing of time variation. An example is given to illustrate the application of the results.     

Upshot of Chemical Species and Nonlinear Thermal Radiation on Oldroyd-B Nanofluid Flow Past a Bi-directional Stretched Surface with Heat Generation/Absorption ina Porous Media

A three-dimensional mathematical model is developed to examine the flow of nonlinear thermal radiation Oldroyd-B nanofluid past a bidirectional linearly stretched surface in a porous medium. The flow is induced by temperature dependent thermal conductivity, chemical reaction and convective heat and mass conditions. Novel characteristics of Brownian motion and thermophoresis are accompanied by magnetohydrodynamic and heat generation/absorption. Self-similar transformations are employed to convert the system of nonlinear partial differential equations to a system of ordinary differential equations with high nonlinearity and are solved by strong analytic technique named as Homotopy Analysis method (HAM). Effects of varied arising parameters on involved distributions are reflected through graphical illustrations. From this study, it is perceived that strong magnetic field hinders the fluid's motion and leads to rise in temperature that eventually lowers heat transfer rate from the surface. Further, decrease in heat transfer rate is also observed for enhanced values of thermal radiation parameter. To validate our results, a comparison with already published paper in limiting case is also given and results are found in excellent oncurrence; hence reliable results are being presented.     

氧化石墨烯/壳聚糖复合薄膜材料的制备及其非线性光限幅效应的研究

石墨烯及其衍生物作为新型碳纳米结构,由于其优异的光限幅性能而受到广泛关注,但现有的工作多侧重于其在液相体系中光限幅效应及其起因研究.本文以壳聚糖为成膜基质,将氧化石墨烯(GO)与壳聚糖(CS)在液相中均匀共混后成膜,对比研究GO溶液和GO-CS复合膜的光限幅效应及其起因.结果表明在线性透过率相同的情况下,GO在固相基质中表现出比液相基质更强的光限幅效应和更弱的非线性散射.这说明不同于碳纳米管简单的非线性散射,在GO中可能存在多种非线性光学效应.     

Study on scattering correction in fast neutron tomography at NECTAR facility

Fast neutron tomography has been established as an inspection and detection tool at the NECTAR facility at the FRM-II reactor.Scattered neutrons from the object become a major disturbance and bring in artifacts and deviations in reconstruction results,especially for hydrogenous material object.In this article,an iterative scattering correction method for fast neutron tomography was proposed.In each loop of iteration the scattering component of the projections will be simulated by Monte-Carlo program MCNPX based on the previous reconstruction result and then it will be subtracted from original projections.The differences between scattering components at different perspectives were quantitatively evaluated and an average scattering component image was used for all projections finally.Smooth and uniform slices with more clear edges were obtained and the new reconstructed attenuation coefficients are quite close to the real one compared to the results without scattering correction,in which case the relative error of the reconstructed attenuation coefficients is about 10%–30%.     

离线测量钍快中子裂变反应率方法

钍快中子裂变反应率是钍铀燃料循环中的重要数据.为了测量基于聚变-裂变混合能源堆包层概念设计的钍样品在宏观中子学装置中的钍快中子裂变数据,发展了钍快中子裂变率的离线活化γ测量方法.通过测量232Th裂变碎片85mKr的β衰变产物85Rb发射的151.16 keV特征γ射线,并结合钍裂变产额数据,获得了钍样品装置中232Th裂变反应率的分布.详细介绍了此方法的原理和影响因素,并利用14 MeV的D-T中子源在贫铀球壳中开展了校验实验,实验不确定度为5.3%—5.5%.采用MCNP5程序和ENDF/B-VI及ENDF/B-VII数据库模拟计算的结果与实验结果在实验不确定度内基本符合,这证明该方法能够有效地模拟装置中232Th裂变反应率.     

基于LabVIEW FPGA的三相锁相环设计与实现

针对传统FPGA模式开发的锁相环在实时人机交互方面的不足,设计了基于LabVIEW FPGA技术的三相锁相环;方案以sbRIO-9631模块为硬件平台,利用LabVIEW编程控制FPGA逻辑,在FPGA中分三级流水线实现了基于dq变换的锁相环算法,并通过FIFO实时上传采集信号、锁定相位至PC机,最后在PC机上实现对锁相环性能分析、PI参数调控和数据显示;经过实验,该锁相环具有较高的精度,锁相时间约为两个周期,锁相误差约为0.03 rad,通过PC机可实时调节锁相性能。     

基于粒子群算法改进SVM的滑模控制研究

为了提高离散时间系统的控制品质以及削弱系统抖振,提出了基于粒子群算法(particle swarm optimization,PSO)改进支持向量机(support vector machine,SVM)的滑模控制方法并进行了仿真研究;通过SVM识辨参量模型与PSO寻优处理,获得趋于理想滑模运动的趋近律参数,确保寻优处理时间短、精度高;利用PSO和SVM在线调整滑模趋近律参数,可以克服常规滑模控制中需要事先设定趋近律参数限制的弊端,加快跟踪速度,削弱系统抖振,完善控制质量;仿真实验表明,该方法可以克服因 PSO寻优过程中的寻优时间过长等不足,又可解决SVM精度不高或计算量大的缺点;该方法用于离散时间系统是可行、有效的,工程实用性强。      

褶合光谱法考察羟自由基清除剂对紫外照射致DNA变异的作用

采用褶合光谱法考察了紫外线UV A ,UV B ,UV C导致的DNA变异 ,并以褶合光谱差谱值的形式量化表达DNA细微突变的程度。DNA受UV A ,UV B ,UV C作用后 ,差谱值依次增大 ,表明变异程度增大 ;添加二甲亚砜、甘露醇等羟自由基清除剂以后 ,在UV A ,UV B ,UV C作用下 ,差谱值有不同程度的降低 ,呈现一定的抑制变异作用。尽管DNA的变异程度有所区别 ,但它们的差谱点分布区域相似 ,提示UV A ,UV B ,UV C导致的DNA变异类型可能相似 ,两种羟自由基清除剂抑制DNA变异的作用机制也可能相似     

Matlab在光学信息处理仿真实验中的应用

提出了一种利用计算机并通过Matlab软件仿真光学信息处理实验的方法 ,其特点是可以随意改变物理参量 ,克服了光学实验上难以实现的操作 .文中分别给出了光栅衍射、空间滤波、图像边缘增强、相关识别等实验的部分仿真结果 .