超强脉冲激光在低密度等离子体中的相对论自导引效应

分析了相对论条件下激光超短脉冲在等离子体中的传输特性 ,在傍轴近似和慢变振幅近似条件下 ,推导了折射率、电子密度、静电场以及电子空腔尺度的表达式。当激光功率超过产生自导引阈值功率时 ,激光束斑沿着传输光轴方向振荡。在有质动力产生的压力非常强时 ,聚焦光束中央部分的电子被全部排开形成电子空腔。给出了电子空腔的尺寸以及在出现电子空腔时的处理方法。在超过形成电子空腔的阈值功率 (Pc≈ 2 .5TW )时 ,空腔的尺度几乎与激光功率无关 ,这意味着电子空腔阻止了激光脉冲的进一步聚焦。     

Geometric Characterizations for Subgroups of PU（1, n; C）

In this paper, we discuss non-elementary subgroups and discontinuous subgroups of PU(1,n; C), and give their geometric characterizations.     

Quantum State Transfer between Two Distant Atoms by Connecting Two Cavities via Optical Fibres

A scheme is proposed to unconditionally implement state transfer between two distant atoms by sending the atoms across two distant cavities connected via an optical fibre, respectively. The field state, which preserves the information about the first atom, is transmitted from one cavity to the other along the fibre. A Faraday rotator integrated in the fibre can be designed to completely stop the fields reflected from the second cavity, thus after the field interacts with the second atom for a defined time, the state transfer can be accomplished with unit efficiency.     

球体内部三模型

高考中有关球体的考查年年推陈出新,涉及球面上两点,三点,四点的问题考得可谓“淋漓尽致”.这类问题往往围绕球体部分的主要知识点:截面,球面距离,地球经纬度展开.但在一般考生眼中,有关球体的此类问题由于图形的难画而变的抽象难解,往往遇之绕道而行.本文拟将此类问题抽象为三种具体的几何模型,从而使问题简单化,避免解题过程中,由于画不出图而造成的思维受阻.     

Rapid Fabrication of Hollow SiO2 Spheres with Novel Morphology

The hydrolysis of tetraethoxysilane (TEOS) occurred on the surface of poly(methyl methacrylate) (PMMA) microshperes immediately after these microshperes were prepared in TEOS. Micron-sized hollow SiO2 spheres were obtained by calcination of the coated PMMA microshperes. It was found that the final hollow spheres were constituted by small SiO2 particles.     

STUDY ON SYNTHESIS OF SELF CORSS LINKED POLYSTYRENE LATEX MICROSPHERES

Emulsifier-free emulsion polymerization of styrene in the presence of β-hydroxy propyl acrylate was studied.The emulsifier-free self cross linked polystyrene latex microspheres was obtained.Monomer conversion is higher than 90% when [St],[β-HPA],[KPS] is 2.66,0.228,and 5.8×10^-3mol/L respectively under 80℃ for 5h.The mono-dispersed latex particle diameter and colloidal particle concentration were given as D=0.23um,N=3.13×10^13/cm^3 by TEM analyse,The factors of influencing latex stability were discussed.Thecopolymer was characterized by IR and dissolution experiment.The apparent activation energy of polymerization and polymerization rate constant were obtained to be 78.7KJ/mol and 514.4/mol.s respectively.     

无机盐对β-环糊精空腔微环境影响的荧光探针研究

基于芘的单体荧光光谱振动结构与其所处环境极性的相关性, 研究了碱金属氯化物对β-环糊精(β-CD)空腔微环境的影响。盐类的引入导致β-CD空腔极性减小, 芘/β-CD包络物形成常数增大。结果表明疏水相互作用是包络物形成动力之一; 盐类的引入除改变溶液的离子强度, 还与β-CD分子间存在着特殊的相互作用, 后者是导致环糊精空腔性质变化的根本原因。详细探讨了盐与β-CD分子间的作用本质。     

学一点数学史(续)——谈谈中学数学教师的数学史素养

这就是希尔伯特第 3 问题.希尔伯特第3问题,正是指向了数千年来数学家们一直努力求解的体积理论基础的谜团.     

格栅-空腔自激振荡流场扰动形成机理研究

格栅-空腔流动会引发流场自激振荡现象,产生结构振动及噪声问题.研究此类现象的形成机理对相关设备的减振降噪设计具有重要意义.目前已知这种现象是在流场正逆向两种扰动的耦合作用下形成的,但上述两种扰动的形成机理尚未明确.针对该问题,建立了格栅-空腔流动数值模型,并进行非稳态数值模拟.通过分析压力振荡数据及流场结构演化过程,对...     

PREPARATION OF POLYMER MICROSPHERES WITH PYRIDYL GROUP AND THEIR STABILIZED GOLD METALLIC COLLOIDS

Narrow disperse poly(ethyleneglycol dimethacrylate-co-4-vinylpyridine)(poly(EGDMA-co-4-VPy))microspheres were prepared by distillation-precipitation copolymerization of ethyleneglycol dimethacrylate(EGDMA)and 4-vinylpyridine (4-VPy)with 2,2'-azobisisobutyronitrile(AIBN)as initiator in neat acetonitrile.The polymer microspheres containing pyridyl group were then utilized as stabilizer for gold metallic colloids with the diameter around 7 nm,which were prepared by the in situ reduction of gold chloride trihydrate with sodium borohydride through the coordination of the pyridyl group on the gel layer and surface of the microsphere with the gold metallic nano-particles.The catalytic properties of the pyridyl- functionalized microsphere-stabilized gold metallic colloids and the behavior of the stabilized-catalyst for the recycling were investigated with reduction of 4-nitrophenol to 4-aminophenol as a model reaction.