确定线性偏微分方程组可积系统的对合特征集方法

基于Ritt-Wu特征集方法和Riquier-Janet理论,给出一种将线性微分方程组化成简单标准形式的有效算法．该算法通过消去冗余和添加可积条件获得线性微分方程组的完全可积系统(有形式幂级数解)或不相容判定．该算法不仅适用于常系数的线性偏微分方程组,而且对于变系数(以函数为系数)仍然有效．作者还给出了完全可积系统判定定理及其严格证明．     

Controlling the gain shape of Er^3＋—doped fluorozirconate fibre amplifier by a coherent field

We proposed a four-level system to explore the quantum interference effects on optical amplification.We found that the gain of the probe.including positions and values of gain peaks,can be adjusted by changing the coherent field and the incoherent pumping.At the same time,we can also modify the absorption profile of electromagnetically induced transparency by the incoherent pump.The results provide a method to flatten the gain of Erbium-doped fibre amplifiers.     

共轭下降法的全局收敛性

本文提出了一种Armijo型的线搜索，并在这种线搜索下讨论了共轭下降法的全局收敛性，且可得方法在每次迭代均产生一个下降搜索方向．     

物理课导语设计的讨论

导语是授课前的启发、诱导．目的是将学生的思维从课间引导到课堂上；启发思维、指导学习,激发学生强烈的求知欲望和浓郁的学习兴趣,为学生学习新知识搭桥铺路,使其思有方向,求有目标,获有所新,用有所创．教学实践告诉我们：优良的教学环境,有利于启迪学生的智慧,陶冶学生的情操,而富有魅力的导语,是创建良好课堂环境,使教师、学生均进入最佳角色的前奏,是教师在备课当中精心设计,艺术构思的结晶,也是教师     

POROSITY CALCULATION OFMIXTURES OF FIBROUS PARTICLES

The initial forming of fiber blend to high green density, i.e. the packing of fibrous particles, is important to the reinforcement of composite materials. It is very useful to develop a general predictive method for the optimum selection of particle mixtures for the property control of ceramic or composite products. This paper presents such a mathematical model developed on the basis of the similarity analysis between the spherical and non-spherical particle packings and assesses its applicability to the packing of fibrous particles with discrete and/or continuous length distributions. The results indicate that the model can predict this packing system well and hence provide an effective way to solve various packing problems in the composite materials processing.     

Fabrication of Long-Period Fibre Gratings Using 800 nm Femtosecond Laser Pulses

Long-period fibre gratings inside standard single-mode optical communication fibres are successfully fabricated with infrared femtosecond laser pulses. The refractive index perturbations are well confined within the fibre core by choosing the proper laser focusing parameters and translation speed of the fibre during the direct laser writing process. With the self-focusing effect considered and at a constant average irradiation dose of 1.62 × 10^3 J/（cm^2μm）, the threshold intensity for fabricating long-period gratings with infrared femtosecond laser pulses is determined to be 5.13 × 10^13 W/cm2.     

脉冲激光偏振方向对氮分子高次谐波的影响——基于含时密度泛函理论的模拟

采用含时密度泛函方法,结合赝势模型和电子交换相关作用的广义梯度近似,模拟了氮分子在超强飞秒激光脉冲作用下的高次谐波产生现象,并研究了激光脉冲偏振方向对氮分子高次谐波的影响.结果表明氮分子的高次谐波谱具有典型原子谐波谱的特征;谐波谱强度随着θ(激光偏振方向与分子轴向夹角)的增大而减小.这与J.Itatanl在Nature上报道的实验结果基本一致.     

“顶”风帆船的动力之源

 顺风扬帆、乘风破浪,风对船帆的压力是推动帆船前进的动力。可是,如果遇上了逆风,帆船还能依靠风的力量前进吗?帆船能不能“顶”风破浪呢?回答是肯定的。加拿大帆船运动员普林斯就是“顶”风破浪的高手,在狂风暴雨的恶劣天气中,他硬是驾驶着心爱的轻便小帆船,“顶”狂风、破恶浪,创造出平均速度为每小时225千米的好成绩。逆风帆船前进的动力帆船怎样在逆风中获得动力呢?如图1所示,先让我们来做一个小实验。     

新一代的VM-51型振动计

VM-51型振动计是日本里翁电子仪器公司最近综合VM-12B、VM-14B、VM-16三个型号振动计发展起来的新产品。该仪器除了能测量振动加速度之外,增加了人体振动感觉的垂直、水平方向振动级的测量。如果与座位振动传感器PV-62及电荷放大器XF-65A并用,还能进行座位振动测量。VM-51是新一代振动计。     

C60量子点与磁性电极的耦合

在磁电子学领域，自旋极化输运与分子器件的结合是一个热门研究方向．最近，来自美国康奈尔大学的Pasupathy等，采用纳米加工技术，将单个C60分子吸附在一对Ni电极之间，构成了“铁磁电极-C60量子点”器件．量子点的Kondo效应和铁磁性交换耦合，原本是相互排斥的，在Pasupathy的实验中，两者被首次结合在一个器件中并加以观察．研究结果表明，如果器件的质量能够保证两种效应之间的竞争得到有效控制，