高质量等曲率物参光像面数字全息显微系统

对等曲率物参光像面数字全息显微成像系统进行研究,分析了光路配置方法,推导了系统的点扩散函数,并由此指出了决定系统成像分辨率的因素及系统的成像特点,最后讨论了再现像光场一次位相畸变校正的方法.结果表明,等曲率物参光像面数字全息具有最大的信息容量;该系统的成像分辨率取决于显微物镜的数值孔径和CCD的像元大小,与CCD的光敏面尺寸无关;物体各点中通过显微物镜的所有频率成分均能被系统完全记录与再现,样品被照亮区域的大小对记录条件和再现像质没有影响;等曲率物参光像面数字全息系统是一种优化的全息记录与再现系统,利用该系统可以实现高质量成像.实验结果验证了理论分析的正确性.     

能动磨盘变形检测中的各误差因素分析

针对现有f530 mm能动磨盘的检测系统（有效检测口径f420 mm）,系统分析了检测过程中的球头误差、传感器安装角度误差和坐标定位误差,并给出了各项误差对检测精度的影响。同时,还针对检测基座不完全水平的问题建立模型,应用最小二乘法实现了检测数据的去倾斜处理。给出了实测数据去倾斜前后和误差补偿前后的检测精度对比情况,结果表明去倾斜算法能较好地还原实测数据,补偿检测中的系统误差有助于提高检测精度。     

Local Unitary Invariants for Multipartite States

We study the invariants of arbitrary dimensional multipartite quantum states under local unitary transformations. For multipartite pure states, we give a set of invariants in terms of singular values of coefficient matrices. For multipartite mixed states, we propose a set of invariants in terms of the trace of coefficient matrices. For full rank mixed states with non-degenerate eigenvalues, this set of invariants is also the set of the necessary and sufficient conditions for the local unitary equivalence of such two states.     

A simple construction of optimal estimation in multivariate marginal Cox regression

The multivariate extension of the Cox model proposed by Wei,Lin and Weissfeld in 1989 has been widely used for analyzing multivariate survival data.Under the model assumption,failure times from an individual are assumed to marginally follow their respective proportional hazards regression relation,leaving the joint distribution completely unspecified.This paper presents a simple approach to efficiency improvement through segmentation of stochastic integrals in the marginal estimating equations and incorporation of the limiting covariance structure.It is shown that when partition of the time interval is done at a suitable rate,the resulting estimator is consistent and asymptotically normal.Through the reproducing kernel Hilbert space arising from the covariance function of the limiting Gaussian process,it is also shown that the proposed estimator is asymptotically optimal within a reasonable class of estimators under marginal specification.Simulations are conducted to assess the finite-sample performance of the proposed method.     

Nd:LMA自锁模飞秒激光器腔结构最佳化设计

Nd:LMA晶体相对低的非线性折射率n₂,使得针对Ti:Sapphire自锁模激光器设计的腔,对Nd:LMA介质而言并没有提供足够的自幅度调制(SAM).为了在Nd:LMA激光器上实现自锁模,在腔内引入一个具有大的非线性系数n₂、快的响应时间的SF57介质,这样就使得激光腔的结构比较特殊.在这篇文章里利用ABCD传输矩阵对该激光器的结构从理论上进行了分析和计算,使腔结构达到了最佳化设计.     

Spectral characterization of multicone graphs

A multicone graph is defined to be the join of a clique and a regular graph. Based on Zhou and Cho’s result [B. Zhou, H.H. Cho, Remarks on spectral radius and Laplacian eigenvalues of a graph, Czech. Math. J. 55 (130) (2005), 781–790], the spectral characterization of multicone graphs is investigated. Particularly, we determine a necessary and sufficient condition for two multicone graphs to be cospectral graphs and investigate the structures of graphs cospectral to a multicone graph. Additionally, lower and upper bounds for the largest eigenvalue of a multicone graph are given.     

变色的ZnS：Mn/SrS：Ce/ZnS：Mn薄膜电致发光的研究

利用ZnS:Mn/SrS:Ce/ZnS:Mn多层结构,得到了一种可变颜色的薄膜电致发光器件。研究了这一器件的发射光谱随电压和频率的变化,并讨论了随电压的增加,发射光谱中蓝带和黄带的不同增长的原因,以及在不同电压下,发射光谱中蓝带和黄带随频率变化的不同趋势的原因。观察到随驱动频率的增加,发射光谱出现黄-蓝色位移。     

Partially linear single-index beta regression model and score test

An important model in handling the multivariate data is the partially linear single-index regression model with a very flexible distribution—beta distribution, which is commonly used to model data restricted to some open intervals on the line. In this paper, the score test is extended to the partially linear single-index beta regression model. The penalized likelihood estimation based on P-spline is proposed. Based on the estimation, the score test statistics about varying dispersion parameter is given. Its asymptotical property is investigated. Both simulated examples are used to illustrate our proposed methods.     

The expected discounted penalty function under a renewal risk model with stochastic income

In this paper, we consider a renewal risk model with stochastic premiums income. We assume that the premium number process and the claim number process are a Poisson process and a generalized Erlang (n) processes, respectively. When the individual stochastic premium sizes are exponentially distributed, the Laplace transform and a defective renewal equation for the Gerber-Shiu discounted penalty function are obtained. Furthermore, the discounted joint distribution of the surplus just before ruin and the deficit at ruin is given. When the claim size distributions belong to the rational family, the explicit expression of the Gerber-Shiu discounted penalty function is derived. Finally, a specific example is provided.     

色散作用能的推导

对两个振动频率与极化系数不同的三维振子的色散作用能给出了一种简明的推导。