Identification of pore size in porous SiO2 thin film by positron annihilation

Positron annihilation lifetime and Doppler broadening of annihilation line techniques have been used to obtain information about the small pore structure and size of porous SiO2 thin film produced by sputtered Al-Si thin film and etched Al-Si thin film. The film is prepared by an Al/Si 75：25 at.-% （A175Si25） target with the radiofrequency （RF） power of 66 W at room temperature. A 5 wt.-% phosphoric acid solution is used to etch the Al cylinders. All the A1 cylinders dissolved in the solution after 15 h at room temperature, and the sample is subsequently rinsed in pure water. In this way, the porous SiO2 on the Si substrate is produced. From our results, the values of all lifetime components in the spectra of Al-Si thin film are less than 1 ns, but the value of one of the lifetime components in the spectra of porous SiO2 thin film is τ = 7.80 ns. With these values of lifetime, RTE （Rectangular Pore Extension） model has been used to analyze the pore size.     

高阶贝塞尔-高斯脉冲光束相位奇点的演化

 推导出被光阑衍射高阶贝塞尔-高斯脉冲光束的场和光强分布的解析公式,对其相位奇点的演化特性做了计算和分析。结果表明,高阶贝塞尔-高斯脉冲光束经光阑衍射后,中心光涡旋始终存在,拓扑电荷守恒。随脉冲频率和脉冲宽度增加,等相位线均沿逆时针方向旋转,涡旋核随脉冲频率增加而减小,而脉冲宽度对涡旋核大小几乎无影响。等相位线随截断参数和传输距离的增加分别沿逆时针和顺时针方向旋转,涡旋核大小随截断参数增加而变化,随传输距离和光束阶数的增加而增大。     

槲皮素-铝配合物合成过程中紫外-可见时间分辨吸收光谱

用氘灯光源室提供连续光,采用增强型光谱探测器ICCD拍摄光谱,利用DG535脉冲发生器对测量系统进行同步控制,实时测得了槲皮素与Al3 反应形成配合物过程中的紫外-可见时间分辨吸收光谱。光谱的曝光时间为1μs,每隔20ms拍摄1幅光谱,一次连续拍摄50幅。所拍光谱图清楚地显示出当反应进行到40ms时,槲皮素的两个特征峰254和374nm已消失,但在384nm处出现一过渡产物的吸收峰,而Al3 在300nm左右的特征吸收带仍存在;随着反应的进一步进行,过渡产物及Al3 在消失,槲皮素-铝配合物的特征峰267和436nm产生并逐渐增强;反应进行到980ms时,Al3 的特征吸收带完全消失,槲皮素-铝配合物的两特征吸收峰增至最强。整个反应过程在1s内已完成。文章结果提供了槲皮素具有清除Al3 的实验依据。     

Characteristics of Photonic Bandgap Fibres with Hollow Core＇s Inner Surface Coated by a Layer Material

Hollow core＇s inner surface coating in a photonic bandgap fibre （PBCF） is investigated by means of finite element method. The coat material and thickness-dependence dispersion curve and group velocity dispersion are numerically studied. The coating with materials of low index or small thickness will rise up the dispersion curve but will not induce surface modes. However, coating with materials of high index or big coat thickness will induce surface modes and avoided-crossings. By varying coat material＇s refractive index and thickness, the appearances of surface modes and avoided-crossings can be changed. It is found that the avoided-crossing can enormously enlarge the negative dispersion which can find applications in dispersion compensation. We numerically achieve a negative dispersion as large as -21416.15ps/nm/km. The results give a physical insight into the propagation properties of PBGFs with the hollow core coated by a layer of material and are of crucial significance in the applications of PBGF coating.     

口试的尝试

在近两年的数学教学中,我采用了口试的方法,检查学生学习情况。这对巩固基础,培养能力,提高教学质量,起到一定的积极作用。这里谈谈我进行口试的作法和一些初步体会。一作法口试是学生在教师事先准备好的一些口试卡中任抽一张,在作短时间准备(不许动笔)以后,找教师口答,教师当即指出优劣,评定成绩的一种考试方法。     

Spectral anomalies of diffracted pulsed Hermite--Gaussian beams in dispersive media

This paper derives and uses the recurrence expressions for the power spectra of diffracted pulsed Hermite-Gaussian （HG） beams in dispersive media to study the spectral anomalies of pulsed HG beams in the far field. Numerical results are given to illustrate the dependence of spectral switches on the pulse parameters, truncation parameter and dispersive property of the medium. The potential application of spectral anomalies of ultrashort pulsed beams in information encoding and transmission is discussed.     

特殊化—一种重要的数学思想

所谓特殊化,是将一般问题的研究转化为特殊情形,通过特殊情形的解决而去探索一般规律,寻找解决一般问题的途径或者否定已有的猜想。这是解决数学问题的一个重要思想方法。下面举一些例子,说明在特殊化的思想指导下所显示的一些成效。一揭示事物的规律从人们认识事物运动的规律来说,总是由认识个别的和特殊的事物逐步扩大到认识一般事物的,从许多特殊事物中,概括出它们共同的本质。例1 观察凸多面体的面数、顶点数、棱数,寻找它们之间的关系:     

鱼露中砷形态分析

采用高效液相色谱-电感耦合等离子体质谱（HPLC-ICP/MS）联用技术对鱼露样品中砷形态进行分析。鱼露样品采用含0.45%H₂O₂的1%HNO₃溶液90℃热浸提3 h,8000 r/min离心过滤后,采用Hamilton PRP-X100阴离子交换柱（250 mm×4.1 mm,10μm）,以（NH₄）₂HPO₄溶液为流动相,梯度洗脱,HPLC-ICP/MS法进行分析。结果显示,在前处理过程中添加H₂O₂可准确测定鱼露样品中一甲基砷（MMA）和无机砷（i As）的含量;同时发现氧化后砷甜菜碱（As B）高的鱼露基质样品中少量的As B会转化为未知砷形态,影响二甲基砷（DMA）的准确测定。     

框架一剪力墙结构分析的高精度平面单元

从三次平面等参元出发，构造出欠妥结点有旋转自由度的高精度矩形单元，该单元与平面等参元具有相同的单元特征及精度，同时具有连续介质力学中关于旋转度的定义。     

随机参数冷却塔的随机特征值样条子域随机摄动分析

文「１」曾提出了用于旋转壳分析的广义样条子域法，本文基于这一方法进一步建立了带有随机参数冷却塔的特征值摄动分析公式。并着重讨论了特征值关于冷却塔边界支撑随机参数的统一特性。其中，冷却塔的实际支撑体系用弹簧约束模拟，且利用变形能等效原则将两个主曲率线方向的弹簧约束系数用实际支撑体系的腾参数表示、弹簧约束通过一个广义样条环域与主体的主体结构相联结。