1 064 nm高反射薄膜激光损伤阈值测量方法

参照国际上对激光损伤阈值不同测量技术建立起来的相应检测规范和标准,分别采用1-on-1,S-on-1,R-on-1和光栅扫描共4种测量方式,在1 064 nm波长下对HfO2/SiO2周期性高反射薄膜进行了激光损伤阈值的测量研究。根据测量结果,比较并分析了这4种测量方式之间的差异,重点研究了R-on-1和光栅扫描测量方式中存在的激光预处理效应对薄膜损伤阈值的影响,以及辐照激光光斑尺寸与损伤阈值之间的联系,并讨论了光栅扫描方式中预处理效应与扫描间距和扫描能量密度梯度的关系。研究表明：R-on-1方式下测得的损伤阈值最高,光栅扫描和1-on-1次之,S-on-1最小;1 000个脉冲激光辐照下的累积效应不显著,并且在激光光斑尺寸的差异较小时,阈值与光斑尺寸的对应关系并不明显;光斑尺寸相同时,扫描光斑的间距越小,激光预处理效果越好。     

Simulation of certain multivariate generalized Pareto distributions

The investigation of multivariate generalized Pareto distributions (GPDs) has begun only recently. For further progress with these distributions simulation methods are an important part. We describe several methods of simulating GPDs, beginning with an efficient method for the logistic GPD. The algorithm is based on the Shi transformation, which was already used for the simulation of multivariate extreme value distributions (EVDs) of logistic type. In the sequel another algorithm is presented simulating a broader class of GPDs. Due to its numerical complexity it is only practicably applicable in low dimensions. A method is given to generate unconditional GPD random vectors from conditionally GPD distributed random vectors. A short application of the simulation methods in the analysis of a real hydrological data set concludes the article. The simulation algorithms are available on the author’s home page .      

Three-step iterations for nonlinear accretive operator equations

In this paper, we suggest and analyze a three-step iterative scheme for solving nonlinear strongly accretive operator equation Tx=f without continuous condition in a uniformly smooth Banach space. Our results include the Ishikawa, Mann and Noor iterations as special cases. The results presented in this paper improve and extend almost all the current results in the more general setting.     

Surface studies on bimetallic thiocyanate ligand based single crystals of MnHg(SCN)4, CdHg(SCN)4 and ZnCd(SCN)4

Bimetallic SCN ligand based single crystals of manganese mercury thiocyanate (MMTC), cadmium mercury thiocyanate (CMTC) and zinc cadmium thiocyanate (ZCTC) are grown by slow solvent evaporation technique. The growth mechanism and surface features are investigated by optical microscopic techniques such as scanning electron microscopy (SEM) and atomic force microscopy (AFM). The laser induced surface damage measurements were carried out using a Q-switched Nd:YAG laser at 1064 nm with laser beam of 1.0 Hz and pulse duration 25 ps. The laser damage threshold values of MMTC, CMTC and ZCTC are found to be 15.9, 22.9 and 19.7 GW/cm², respectively. The SEM analysis of MMTC reveals the formation of elongated dendrite growth pattern caused by the fluctuations of Mn and Hg metal ligands when thiocyanate (SCN) bridges them. The etching study indicates the occurrence of different types of etch pit patterns like terraced triangles, pillars, pyramids and rods. The AFM images confirm the formation of three major hillocks with cavities in MMTC. The measured roughness values for CMTC crystal are very much lower than that of MMTC.     

游戏传播的动力学研究

随着网络游戏的快速发展,沉溺于网络游戏的人也越来越多.利用传染病模型,根据人们对某款游戏的沉迷程度,构建游戏传播的动力学模型.通过定性分析研究模型的平衡点和正平衡点的存在性,得出了游戏传播达到稳定状态时,各类人群的人数和游戏传播的阈值R_0.并证明当R_01时正平衡点的渐进稳定性,表明该游戏将会继续传播形成部分人群沉迷于该游戏;相反,当R_01时,游戏将无法传播.通过仿真,分析了不同参数对网络游戏传播的影响,为如何能更有效的控制管理游戏提供了合理的解释.     

Nonlinear wavelet estimation of regression function with random desigm

The nonlinear wavelet estimator of regression function with random design is constructed. The optimal uniform convergence rate of the estimator in a ball of Besov spaceB ³ _p,q is proved under quite general assumpations. The adaptive nonlinear wavelet estimator with near-optimal convergence rate in a wide range of smoothness function classes is also constructed. The properties of the nonlinear wavelet estimator given for random design regression and only with bounded third order moment of the error can be compared with those of nonlinear wavelet estimator given in literature for equal-spaced fixed design regression with i.i.d. Gauss error. Project supported by Doctoral Programme Foundation, the National Natural Science Foundation of China (Grant No. 19871003) and Natural Science Fundation of Heilongjiang Province, China.     

Simplified analysis for full-Newton step infeasible interior-point algorithm for semidefinite programming

We present an analysis of the full-Newton step infeasible interior-point algorithm for semidefinite optimization, which is an extension of the algorithm introduced by Roos [C. Roos, A full-Newton step 𝒪(n) infeasible interior-point algorithm for linear optimization, SIAM J. Optim. 16 (2006), pp. 1110–1136] for the linear optimization case. We use the proximity measure σ(V)?=?‖I???V ²‖ to overcome the difficulty of obtaining an upper bound of updated proximity after one full-Newton step, where I is an identity matrix and V is a symmetric positive definite matrix. It turns out that the complexity analysis of the algorithm is simplified and the iteration bound obtained is improved slightly.