Error control in the perfectly matched layer based multilevel fast multipole algorithm

The development of efficient algorithms to analyze complex electromagnetic structures is of topical interest. Application of these algorithms in commercial solvers requires rigorous error controllability. In this paper we focus on the perfectly matched layer based multilevel fast multipole algorithm (PML-MLFMA), a dedicated technique constructed to efficiently analyze large planar structures. More specifically the crux of the algorithm, viz. the pertinent layered medium Green functions, is under investigation. Therefore, particular attention is paid to the plane wave decomposition for 2-D homogeneous space Green functions in very lossy media, as needed in the PML-MLFMA. The result of the investigations is twofold. First, upper bounds expressing the required number of samples in the plane wave decomposition as a function of a preset accuracy are rigorously derived. These formulas can be used in 2-D homogeneous (lossy) media MLFMAs. Second, a more heuristic approach to control the error of the PML-MLFMA’s Green functions is presented. The theory is verified by means of several numerical experiments.     

A SCREW DISLOCATION IN A THREE-PHASE COMPOSITE CYLINDER MODEL WITH INTERFACIAL RIGID LINES

The problem of the elastic interaction between a screw dislocation and a three-phase circular inclusion with interracial rigid lines （anti-cracks） is investigated. An efficient and concise method for the complex multiply connected region is developed, with which explicit series form solutions of the complex potentials in the matrix, and the interphase layer and inclusion regions are derived. Based on the complex potentials, the image force on the screw dislocation is then calculated by using the Peach-Koehler formula. The equilibrium position of the dislocation is discussed in detail for various rigid line geometries, interphase layer thicknesses and material property combinations. The main results show that the interracial rigid lines exert a significant perturbation effect on the motion of the screw dislocation near the circular inclusion surrounded by an interphase layer.     

一类非线性奇摄动问题的匹配解法

利用匹配渐近展开法,讨论了一类非线性奇摄动问题的解,得出了奇摄动边值问题的零次渐近展开式.     

铁-邻菲咯啉配合物的循环伏安-光谱电化学研究

以循环伏安及循环伏安-光谱电化学方法研究了铁-邻菲咯啉配合物的电化学行为,Fe2 与邻菲咯啉生成1∶3配合物,给出一对受扩散控制的可逆氧化还原峰。自由Fe2 在-0.24V电位处,给出了一表面控制的不可逆还原峰。由氧化过程中的光谱电化学数据获得式电位为E0=0.875V(vs.Ag/AgCl)和电子转移数为n=1.0。由还原过程的循环伏安-光谱电化学数据发现,[Fe(phen)3]3 的电化学还原过程为产物弱吸附的自加速过程,获得裸电极上的标准速率常数为k0=1.14×10-3cm/s,电子转移系数为α=0.189。Langmuir吸附常数β=0.059(±0.007),吸附表面上的电子转移系数为αa=0.313,反应速率常数为k0a=1.24(±0.17)×10-3(cm/s),式电位为:0.11±0.01V(SD=0.184)。     

实验"不良导体导热系数的测量"计算方法的改进

本文在考虑了格拉晓夫准则、努塞尔准则及雷利准则的情况下,对实验“不良导体导热系数的测量”的计算方法做了改进.     

平板混合层流动中两相脉动关联矩的大涡模拟

在气粒两相平板混合层流动中,对气相流动采用大涡模拟,对颗粒相流动采用轨道模拟,研究了两相脉动关联矩。由两相各自瞬时速度出发可以直接获得两相脉动关联矩的统计结果。模拟获得的颗粒相一阶矩、二阶矩以及两相脉动关联矩与实验结果定量符合,表明基于细观模拟是不通过模型获得和研究两相脉动关联矩的可行途径。     

硒功能化杯芳烃载体银离子选择性膜电极的研究

合成6个硒功能化杯芳烃为载体,采用双层夹心膜电位法直接测定了溶剂聚合物膜中载体与金属离子生成的络合物生成常数。制备并考察了以硒功能化杯芳烃为载体的银离子选择性电极的性能,发现以载体6为银离子选择性电子的载体,制成的膜电极,用作Ag^ 电位滴定Cl^-的指示电极,效果最佳。     

锂喹啉配合物作为电子注入层对有机电致发光器件性能的影响

利用锂喹啉配合物(8-hydroxy-quinolinato lithium,Liq)作电子注入层,制备了结构为氧化铟锡／锂喹啉配合物铝{ITO(indium tin oxidc) TPD(N,N′-di-phenyl-N,N′-bis(3-mmethylphenyl)-l.l′biphenyl-4,4′diamine)/Alq3[tris-8-hydroxy-quinolinato)aluminum] Liq AI的电致发光器件。通过改变电子注入层Liq的厚度,考查了Liq厚度对器件电致发光效率及电流密度-电压关系的影响。实验表明Liq厚度大约为0．5nm左右时器件的性能最佳、电致发光效率约为没有Liq器件效率的5倍,而定电流下的工作电压最低,其原因可归于Liq在金属铝电极与有机层Alqs之间产生偶极层,使铝与有机层间的界面接近欧姆接触,从而使电子注入效率大幅提高;随着Liq厚度的增加,器件的电致发光效率降低,而定电流下的工作电压升高,与同类型以LiF作注入层的器件相比,这种器件性能受厚度影响而变化的趋势是类似的,但以Liq作注入层的器件具有较低的厚度敏感性,这是由于LiF为绝缘体,而Liq为半导体的缘故。Liq作注入层器件的这种对注入层厚度的不敏感性对批量生产中所用的大尺寸基底来说是非常有利的。     

MRTD算法在集成平面光波导组件分析中的应用

将基于Daubechies紧支集尺度函数的时域多分辨分析（MRTD）算法用于集成平面光波导组件的时域分析中,实现了MRTD算法的各向异性理想匹配层（APML）吸收边界条件,并对平行介质带定向耦合器进行了数值模拟和验证,所得结果与解析解非常一致.与传统的FDTD算法相比,MRTD算法在不牺牲计算精度的前提下能够大大节省计算资源.     

以MgO为缓冲层的硅基铌酸锶钡薄膜取向特性与其波导结构的设计研究

采用溶胶－凝胶法在Si(100)基片上制备出择优取向的MgO薄膜,随后在其上生长出具有择优取向的铌酸锶钡铁电薄膜.实验发现,MgO缓冲层的应用可以大大提高SBN薄膜的择优取向性能.同时,用五层对称理想波导耦合模理论,以SBN为波导层,分析了波导损耗与厚度的关系. 通过对计算出的理想结果与实际相结合,以及对SBN在生长过程工艺与损耗关系的研究,制备出高质量、低损耗的SBN薄膜,为其在电光波导调制器等微系统中的应用打下良好的基础.