中值问题中辅助函数的构造原理及应用

本文研究了方程有根的证明题中辅助函数的构造原理,并利用这种方法构造了拉格朗日中值定理证明中的辅助函数.     

里德伯原子中非厄米电磁诱导光栅引起的弱光孤子偏折及其操控

基于里德伯-电磁感应透明系统实现了具有宇称-时间对称的电磁感应诱导光栅,并研究了系统中探测光场在到达光栅前形成孤子的过程以及经过光栅时引起的偏折现象.发现由于里德伯-电磁感应透明系统具有很强的非线性光学效应,因此只需要很少的输入探测光能量就能形成稳定的光孤子.此外还发现,通过改变电磁感应诱导光栅的增益/损耗系数、光栅周期、以及体系的克尔非线性非局域度都可以有效地改变探测光孤子的偏折程度和状态,实现对弱光孤子偏折的主动操控.本文的研究结果可为未来利用宇称-时间对称的电磁感应诱导光栅实现全光控制和光信息处理等相关应用提供一定的理论依据.     

校正磁场和cos/sin线圈的设计

介绍了控制束心corkscrew运动的原理,给出了用cos/sin线圈产生校正磁场方法并比较两种设计的结果。指出用较严格设计的cos/sin线圈能更有效地调节校正磁场。     

Numerical investigation of multi-beam laser heterodyne measurement with ultra-precision for linear expansion coefficient of metal based on oscillating mirror modulation

This paper proposes a novel method of multi-beam laser heterodyne measurement for metal linear expansion coefficient. Based on the Doppler effect and heterodyne technology, the information is loaded of length variation to the frequency difference of the multi-beam laser heterodyne signal by the frequency modulation of the oscillating mirror, this method can obtain many values of length variation caused by temperature variation after the multi-beam laser heterodyne signal demodulation simultaneously. Processing these values by weighted-average, it can obtain length variation accurately, and eventually obtain the value of linear expansion coefficient of metal by the calculation. This novel method is used to simulate measurement for linear expansion coefficient of metal rod under different temperatures by MATLAB, the obtained result shows that the relative measurement error of this method is just 0.4%.     

一维光子晶体斜入射波包的带隙结构

对波包的任意傅里叶分量进行坐标变换后,利用转移矩阵法推导出波包斜入射情形下一维光子晶体的色散关系表达式,利用色散关系曲线分析得出波包斜入射的第一带隙结构,与以往平面波的第一带隙结构不同,波包的带隙宽度小于平面波的带隙宽度,并且在位置上前者带隙包含在后者内部.比较了一维光子晶体分别在波包入射与平面波入射情形下带隙位置和宽度,分析了波包中心入射角的变化以及波包的角分布范围的变化对带隙结构的影响,得到了一维光子晶体对波包斜入射的带隙结构的基本特征,确定了计算波包带隙能够近似当作平面波处理的条件.研究表明,波包的带隙结构受入射角大小和波包角分布范围的影响.入射角越小,波包入射的带隙结构越接近平面波;波包的角分布范围越小,光子晶体对波包的带隙宽度和位置越接近平面波.     

气体流量对TYUT型MPCVD装置沉积大面积金刚石膜的影响

使用自行研制的频率为2.45 GHz的TYUT型MPCVD装置,以H2和CH4为气源,在功率为8 kW、基片温度为1000℃、气体流量为100～800 sccm条件下,进行了直径为65 mm的大面积金刚石膜的沉积实验.使用扫描电镜、X射线衍射仪、数字千分尺和Raman光谱仪等仪器分别对金刚石膜的表面形貌、取向、厚度和品质进行了表征.实验结果表明,气体流量的变化会对金刚石膜的晶粒尺寸,晶体取向,沉积速率,厚度均匀性和品质产生较大的影响.气体流量在300～600 sccm范围内制备的金刚石膜才兼具晶粒尺寸均匀性好、表面缺陷少和品质高的优点.     

Early-warning signals for an outbreak of the influenza pandemic

Over the course of human history, influenza pandemics have been seen as major disasters, so studies on the influenza virus have become an important issue for many experts and scholars. Comprehensive research has been performed over the years on the biological properties, chemical characteristics, external environmental factors and other aspects of the virus, and some results have been achieved. Based on the chaos game representation walk model, this paper uses the time series analysis method to study the DNA sequences of the influenza virus from 1913 to 2010, and works out the early-warning signals indicator value for the outbreak of an influenza pandemic. The variances in the CGR walk sequences for the pandemic years (or + -1 to 2 years) are significantly higher than those for the adjacent years, while those in the non-pandemic years are usually smaller. In this way we can provide an influenza early-warning mechanism so that people can take precautions and be well prepared prior to a pandemic.     

网球拍的撞击中心

讨论了有关网球拍撞击中心的问题,并计算了网球拍的撞击中心的具体位置.     

基于杯［6］芳烃萃取头的固相微萃取-气相色谱法测定啤酒中痕量的酞酸酯类化合物

选用自制杯［6］芳烃溶胶-凝胶固相微萃取(SPME)萃取头,建立了顶空SPME与气相色谱联用检测啤酒中8种酞酸酯(PAEs)的方法。采用L25(56)正交设计对萃取条件进行了优化,所得方法检出限为0.003～3.429 μg/L,相对标准偏差不超过13.5%,加标回收率为86.3%～109.3%。采用标准加入法对3种瓶装啤酒中PAEs进行了检测,结果表明邻苯二甲酸二(2-乙基己)酯(DEHP)是啤酒中最主要的酞酸酯类污染物,含量最高达5.24 μg/L。迁移试验表明,瓶装啤酒所用塑料垫圈中高含量的DEHP可能成为酒体中PAEs的一种来源,且延长贮存时间、提高贮存温度和振荡都能加快垫圈中DEHP的迁移。     

一类平面奇次系统的全局结构

通过研究一类平面奇次系统的有限远奇点和无穷远奇点的类型,对其进行定性分析,得到系统的全局结构及其相图.