转移矩阵法在负折射率介质材料平板波导中的应用研究

利用严格电磁理论，推导出了适用于负折射率介质材料光波导的转移矩阵，分析讨论了转移矩阵的性质和应用.利用转移矩阵方法，推导出导波层为负折射率介质材料、覆盖层和衬底为右手材料的三层对称介质光波导的本征色散方程.用图解法研究了负折射率介质波导中TE波的异常色散特性.在负折射材料介质波导中没有零阶模，最低阶为1阶模，并且有截止频率,只有波导参量满足一定条件的时候才会存在，导模的横向波数可以为实数和纯虚数，而正折射率介质波导导模的横向波数只能为实数.     

Dicyclopentadienyl complexes of titanium,niobium, and tungsten in the controlled synthesis of poly(methyl methacrylate)

Organometallic compounds Cp₂TiCl₂, (EtC₅H₄)₂NbCl₂, and (PrⁱC₅H₄)₂WCl₂ were assessed as additives that control polymer chain growth in the polymerization of methyl methacrylate. In the presence of compounds mentioned in amounts comparable with that of the initiator, a uniform process with no gel-effect occured and respective linear increase in the molecular weight of the polymer up to high degrees of the monomer conversion was observed.     

BaMgAl10O17:Eu2+,Mn2+中Eu2+→Mn2+的能量传递

在还原气氛下采用高温固相法合成了BaMgAl10O17:Mn2 ,BaMgAl10O17:Eu2 ,BaMgAl10O17:Eu2 ,Mn2 粉末样品,测量并研究了它们的激发光谱和发射光谱性质.结果表明:BaMgAl10O17:Eu2 ,Mn2 中,Eu2 的发射光谱和Mn2 的吸收光谱之间的光谱交叠范围较大,两种离子之间发生了明显的交叉弛豫过程,即有较强的共振能量传递过程,导致在紫外光的激发下,样品BaMgAl10O17:Eu2 ,Mn2 发射光谱中以蓝光和绿光为主.     

教学质量的时齐马尔可夫链评估法

本文研究了教学质量评估中的一种定量分析方法──时齐马尔可夫链评估法．阐明了这种方法的理论依据及其实施程序、并指出它较之其他教学质量评估法更显合理．     

Transfer matrix approach of vibration isolation analysis of periodic composite structure

The transmission properties of elastic waves propagating in a three-dimensional composite structure embedded periodically with spherical inclusions are analyzed by the transfer matrix method in this paper. Firstly, the periodic composite structures are divided into many layers, the transfer matrix of monolayer structure is deduced by the wave equations, and the transfer matrix of the entire structure is obtained in the case of boundary conditions of displacement and stress continuity between layers. Then, the effective impedance of the structure is analyzed to calculate its reflectivity and transmissivity of vibration isolation. Finally, numerical simulation is carried out; the experiment results validate the accuracy and feasibility of the method adopted in the paper and some useful conclusions are obtained. Project (No. 50075029) supported by the National Natural Science Foundation of China.     

Generalized KKM Type Theorems in FC-Spaces with Applications (I)

The class KKM(X,Y) (resp., s-KKM(X,Y,Z)) of set-valued mappings with KKM (resp., s-KKM) property is introduced in FC-spaces without any convexity structure. Some generalized KKM (resp., s-KKM) type theorems are proved in FC-spaces under much weak assumptions. As applications, some new section theorems and coincidence theorems are established in FC-spaces. These theorems generalize many known results in literature. The further applications of these results will be given in a follow-up paper.     

多光子电离下醇类团簇中的反应

应用Nd:YAG(Spectra-Physics LAB-170)脉冲激光器输出的355nm紫外激光实现了对甲醇、乙醇及正丙醇的多光子电离,对每一种样品通过质谱技术都观测到了两个质子化团簇离子系列:(R..3OH)nH 和(R1,2,3OH)n(H2O)H (R1,2,3代表CH2、CH2CH2及CH2CH3CH2),结合在HF/STO-3G和B3LYP/6-31G 水平上的从头计算对其反应通道做了分析,发现其产生经过了团簇内部的质子转移反应及离子-分子反应,且质子主要来自于羟基上的氢离子.并结合从头算分析了(R1,2,3OH)nH 的结构,给出了幻数团簇(R1,2,3OH)3H 的构型.同时对(R1,2,3)n(H2O)H 系列只在n值较大时出现做了相应的解释.     

强流直线感应加速器中束流质心横向运动初步计算

 “神龙一号”强流脉冲加速器由72个直线感应加速腔和18个用于测试和真空泵接口的多功能腔组成。直线感应加速器的研制建造中磁轴对中偏差和聚焦磁场的自然偏差所引起的束流质心偏移轨道中心是不可避免的，由于束脉冲期间存在能散，使束流产生Corkscrew运动,导致束流品质变坏。而束脉冲期间的能散只能减小到一定水平，因此必需采取一定的措施抑制Corkscrew幅度的增长。在加速器的安装阶段，脉冲悬丝技术被应用于准直加速段聚焦磁场，并在磁轴准直测试的同时对磁场固有倾斜偏差进行初步校正。根据脉冲悬丝测试所得实验数据，采用传输矩阵法对加速段束质心轨迹进行了初步估计，计算中考虑了各加速腔聚焦磁场的倾斜和偏移误差。给出了计算结果和分析。     

Axisymmetric frictionless contact of functionally graded materials

The main interest of this study is a new method to solve the axisymmetric frictionless contact problem of functionally graded materials (FGMs). Based on the fact that an arbitrary curve can be approached by a series of continuous but piecewise linear curves, the FGM is divided into a series of sub-layers with shear modulus varying linearly in each sub-layer and continuous at the sub-interfaces. With this model, the axisymmetric frictionless contact problem of a functionally graded coated half-space is investigated. By using the transfer matrix method and Hankel integral transform technique, the problem is reduced to a Cauchy singular integral equation. The contact pressure, contact region and indentation are calculated for various indenters by solving the equations numerically. An erratum to this article can be found at     

(甲基)丙烯酸酯的基团转移聚合

<正> 基团转移聚合方法自问世以来,由于其突出的优点,受到日益广泛的重视。本文来用丙二酸二乙酯的硅烯醇醚类引发剂3-乙氧基-3-三甲基硅氧基丙烯酸乙酯 (CH_3CH_2O_2CCH=C(OCH_2CH_3)OSiMe_3)和亲核型催化剂四乙基二氯化氢氨((CH_3CH_2)_4NHF_2)进行甲基丙烯酸甲酯(MMA)、丙烯酸丁酯(BA)、丙烯酸乙酯(EA)和丙烯酸甲酯(MA)的基因转移聚合。得到了近