The application of spectral distribution of product of two random matrices in the factor analysis

In the factor analysis model with large cross-section and time-series dimensions,we pro- pose a new method to estimate the number of factors.Specially if the idiosyncratic terms satisfy a linear time series model,the estimators of the parameters can be obtained in the time series model. The theoretical properties of the estimators are also explored.A simulation study and an empirical analysis are conducted.     

An extension of gap functions for a system of vector equilibrium problems with applications to optimization problems

In this paper, the notion of gap functions is extended from scalar case to vector one. Then, gap functions and generalized functions for several kinds of vector equilibrium problems are shown. As an application, the dual problem of a class of optimization problems with a system of vector equilibrium constraints (in short, OP) is established, the concavity of the dual function, the weak duality of (OP) and the saddle point sufficient condition are derived by using generalized gap functions. This work was supported by the National Natural Science Foundation of China (10671135) and the Applied Research Project of Sichuan Province (05JY029-009-1).     

Semiparametric estimation of the long-range parameter

We study two estimators of the long-range parameter of a covariance stationary linear process. We show that one of the estimators achieve the optimal semiparametric rate of convergence, whereas the other has a rate of convergence as close as desired to the optimal rate. Moreover, we show that the estimators are asymptotically normal with a variance, which does not depend on any unknown parameter, smaller than others suggested in the literature. Finally, a small Monte Carlo study is included to illustrate the finite sample relative performance of our estimators compared to other suggested semiparametric estimators. More specifically, the Monte-Carlo experiment shows the superiority of the proposed estimators in terms of the Mean Squared Error. The first author research was funded by the Economic and Social Research Council (ESRC) reference number: R000238212. The second author research was funded by the Ministry of Education, Culture, Sports and Technology of Japan, reference number: 09CE2002 and B(2)10202202.     

傅里叶变换红外光谱仪遥测污染云团的吸收光谱算法

遥感傅里叶变换红外光谱技术因其具有对污染源作无干扰监测、多组分的同时连续测定、区域性或大范围地区的测量等优点,因而已广泛的应用于遥感测量技术。利用傅里叶变换红外(FTIR)光谱仪远距离探测目标,根据探测的目标源是否充满光谱仪的视场,建立了三种辐射模型。在所建立模型的基础上,选用了D&P公司生产的便携式Model-101型傅里叶变换红外光谱仪,实时探测目标云团和背景,运用差谱法和发射光谱法对探测结果进行了光谱分析,进而得到了扣除背景影响后的目标云团吸收光谱。给出了相应的仿真实验结果示例。实验结果表明,由差谱法得到的结果准确度较好。     

二维非正交坐标斜方格金属光子带隙结构

金属光子带隙结构在高能加速器、微波真空电子器件和太赫兹波源等方面具有重要的应用前景.基于实空间传输矩阵理论，详细研究了非正交坐标系下二维斜方格金属光子带隙结构，给出了计算横电模、横磁模完全带隙结构的一般公式，并分析了填充系数、任意斜角及金属柱横截面对带隙结构的影响.计算结果在退化为正方格情况下时，与其他方法的计算结果取得很好的一致. 关键词： 光子晶体 金属光子带隙 传输矩阵法 微波真空电子器件     

Nash Equilibria,Variational Inequalities,and Dynamical Systems

In this paper, we introduce some relationships between Nash equilibria, variational equilibria, and dynamical equilibria for noncooperative games.     

多层光子晶体滤波器研究

从双层结构出发研究了一种由多块不同的单周期光子晶体组合而成的多层结构的滤波器，论述了这种滤波器的工作原理，研究表明这种结构适于制作带通、窄带通过、带阻、宽带带阻、高通以及其它各种性能的滤波器。实验和理论研究的结果相一致。     

光子晶体中四能级系统的量子相干效应

研究了处于光子带隙材料中的四能级原子系统的电磁感应透明、自发辐射和光子开关效应，分析了其稳态与瞬态特性, 发现特殊的模密度能够导致反常的吸收、色散、自发辐射及瞬态无反转增益, 并可以通过外加调制场进行控制.详细讨论了特殊频率处模密度的变化对透明窗口和光子开关效应的影响. 关键词： 光子带隙材料 电磁感应透明 模密度 光子开关     

Tight-binding method modelling of photonic crystal waveguides

We present here a tight-binding-like modelling of two-dimensional (2D) photonic crystals (PCs). Adopted from solid-state physics, the concept of generalized Wannier functions is used to construct a localized state basis that allows a parameter-free ab initio study of defects in PCs. We demonstrate here for a 2D triangular lattice of dielectric rods in air, the existence of this localized basis and the possibility to study large scale complex dielectric structures deviating from periodicity. Specific numerical simulations on a split waveguide embedded in this triangular lattice are performed, and they demonstrate the superiority of this method over plane wave based techniques.     

微扫描技术对光电图像混淆噪声的影响

在分析采样理论和微扫描理论的基础上,引入了一个评价光电成像系统混淆噪声的品质因数,定量地分析了不同模式的微扫描对系统混淆噪声的改善程度。