Gross–Pitaevskii dynamics of Bose–Einstein condensates and superfluid turbulence

The Gross–Pitaevskii equation, also called the nonlinear Schrödinger equation (NLSE), describes the dynamics of low-temperature superflows and Bose–Einstein Condensates (BEC). We review some of our recent NLSE-based numerical studies of superfluid turbulence and BEC stability. The relations with experiments are discussed.     

CCD输出信号偏差的分析与校正

详细分析造成CCD输出信号偏差的原因．在此基础上提出一种采用二次补偿手段的校正方法，并取得了理想的校正效果。     

300～1100nm多波段成像光学系统设计及杂光分析

设计了一套300～1100nm多波段光学系统,该系统能对目标的近紫外、可见光和近红外3个波段同时成像,可满足目标多波段信息探测的要求。由于在光学系统中镜筒内壁反射和棱镜表面反射会产生杂光和鬼像,因此,利用Light—Tools软件对此系统的杂光和鬼像进行了模拟分析。模拟结果表明,视场之外11．7—18．3°和-11．7～-18．3°的入射光线被胶合棱镜上下表面反射后,会聚焦到3个探测器靶面范围内,形成鬼像;6．2°-9．8°和一6．2°--9．8°的入射光线被镜筒反射后会在3个探测器上形成杂光。利用设计的多波段光学系统进行了相关实验,结果证明了模拟分析的正确性,表明此分析能用于指导多波段光学系统的设计和研制。提出了减少杂光和鬼像的相应措施,实验结果验证了提出的措施能够减少杂光及消除鬼像,提高系统成像质量。     

财务重述对分析师预测行为的影响研究

本文以我国2005-2009年间A股市场发生年度财务报表重述的公司并结合相应的分析师预测数据作为样本,分别考察了财务重述和财务重述调整金额对分析师跟进及预测特征的影响。多元回归结果表明:财务重述会减少分析师跟进、增加分析师预测误差,重述调减以前年度损益的程度越大,分析师预测的分歧和误差就越大;而财务重述增加分析师预测分歧、重述调整金额影响分析师跟进的假设却未得到证实。本研究发展了财务重述、分析师预测的研究内容,为提高公司财务报告质量、规范分析师行业提供了相应的思路。     

紫外光通信中基于大气散射理论的传输模型

在研究单次散射模型的基础上, 针对单次散射模型不能对天气变化对紫外光信号造成的影响做出模拟的不足, 结合大气散射理论构建了紫外光传输的二次散射模型。研究了瑞利散射和米氏(Mie)散射在四种典型天气条件下的散射相函数, 仿真得出了紫外光被大气中的粒子散射后的能量分布情况, 将其引入二次散射模型, 并确定了各种天气条件下的散射粒子浓度后对紫外光通信系统做出性能仿真。计算结果表明, 二次散射模型可以仿真不同的天气条件下的紫外光通信系统的性能, 从仿真结果上验证了非直视通信的可实现性。并得出, 在雨、雾天气下, 紫外光信号衰减剧烈, 接收仰角不可过大; 在天气晴好时, 能更好的实现紫外光非直视通信, 接收仰角可达到180°。长距离通信时, 天气状况变化对通信性能影响更大。     

金刚石/ZnSe结构中瞬态热栅场的有限元法分析

利用有限元法分析计算了脉冲激光激发瞬态热栅在金刚石薄膜/ZnSe衬底双层结构中的三维温度场分布及变化。通过比较不同厚度金刚石薄膜样品的温度场分布,结果显示金刚石薄膜的厚度对样品中温度场的分布有较大影响,随着薄膜厚度的增大,峰值温度提高并且二次加热现象更加明显。     

RBF‐based discrete sliding mode control for robust tracking of uncertain time‐delay systems with input nonlinearity

In this article, a control scheme combining radial basis function neural network and discrete sliding mode control method is proposed for robust tracking and model following of uncertain time‐delay systems with input nonlinearity. The proposed robust tracking controller guarantees the stability of overall closed‐loop system and achieves zero‐tracking error in the presence of input nonlinearity, time‐delays, time‐varying parameter uncertainties, and external disturbances. The salient features of the proposed controller include no requirement of a priori knowledge of the upper bound of uncertainties and the elimination of chattering phenomenon and reaching phase. Simulation results are presented to demonstrate the effectiveness of the proposed scheme. © 2015 Wiley Periodicals, Inc. Complexity 21: 194–201, 2016     

A block-Lanczos method for large continuation problems

The computation of solution paths of large-scale continuation problems can be quite challenging because a large amount of computations have to be carried out in an interactive computing environment. The computations involve the solution of a sequence of large nonlinear problems, the detection of turning points and bifurcation points, as well as branch switching at bifurcation points. These tasks can be accomplished by computing the solution of a sequence of large linear systems of equations and by determining a few eigenvalues close to the origin, and associated eigenvectors, of the matrices of these systems. We describe an iterative method that simultaneously solves a linear system of equations and computes a few eigenpairs associated with eigenvalues of small magnitude of the matrix. The computation of the eigenvectors has the effect of preconditioning the linear system, and numerical examples show that the simultaneous computation of the solution and eigenpairs can be faster than only computing the solution. Our iterative method is based on the block-Lanczos algorithm and is applicable to continuation problems with symmetric Jacobian matrices. This revised version was published online in June 2006 with corrections to the Cover Date.     

水/气多介质问题的界面处理方法

针对不可压缩可压缩水/气多介质问题, 提出一种新的界面处理方法。在可压缩水/气界面处构造Riemann问题, 在水中设音速趋于无穷大, 求解Riemann问题得到不可压缩可压缩水/气界面处流体的准确流动状态; 然后以此状态结合GFM(ghost fluid method)方法分别为2种流体定义界面边界条件, 将两相流问题转化为单相流问题计算, 通过求解level set方程来跟踪界面的位置。对各种不同的界面边界条件定义方法进行了比较, 数值模拟结果表明算法能准确地捕捉各类间断的位置, 证明了算法的有效性和稳健性。     

Generalized Ghost Pilgrim Scalar Field Models of Dark Energy

We assume generalized ghost Pilgrim dark energy (GGPDE) model in the presence of cold dark matter in flat FRW universe. With suitable choice of interaction term between GGPDE and cold dark matter, we investigate the nature of equation of state parameter for GGPDE. Also, we investigate the natures of dynamical scalar field models (such as quintessence, tachyon, k-essence, and dilaton dark energy) and concerned potentials through the correspondence phenomenon between GGPDE and these models.