基于双尺度渐近分析的有限元算法

1．引言正如文山所说，由于复合材料和周期结构的材料系数ail（x）在局部区域内间断且跳跃性很大，加上区域内含有周期性洞穴或裂缝，且周期长度很小．一般而言，直接采用有限元方法进行数值模拟，其计算量大得惊人，甚至难以实现．文山针对这种特征，提出了一种可计算的双尺度渐近分析模式，本文在此基础上给出了相应的有限元算法，它包括：1．周期解在一个基本构造上的有限元计算；2．边界层的有限元计算．同时，给出了相应的误差分析．2．周期解的有限元计算首先考虑下列形式的边值问题；其中把，代E尸（on叫，iii（0关于E—（EI，ZZ…     

基于Mie散射的卷云光学特性

基于中纬度卷云冰晶双峰、热带卷云冰晶三峰分布模型,利用Mie散射理论计算了1～13脚范围内中纬度及热带卷云的消光系数、散射系数、吸收系数。计算结果表明,由不同形状冰晶构成的热带卷云的相应光学参数比中纬度卷云的光学参数大些,但11支子弹玫瑰形状的相应参数要小一些;两种卷云在2．8～3．1μm,9．8～13μm范围内都存在两个基本相同的透射通带;在计算中纬度卷云的光学参数时,可以只考虑中空六棱柱与实心六棱柱中的一种,但计算热带卷云的光学参数时,实心六棱柱与空心六棱柱需要同时考虑。     

XRF法在密闭鼓风炉粗锌分析中的应用

本文研究了用X－射线荧光光谱法测定密闭鼓风炉粗锌中铅、锌、铁和镉等元素,样品从炉前取出后铸成一定形状,被测表面经抛光后直接测定,不经化学处理。用经验系数法校正基体效应。用人工模拟制备标准,其浓度与X－射线强度的线性相关系数均在0．98以上,标准偏差小于0．0056;相对标准偏差小于2．41％。测定结果与化学结果相符。     

自适应光学中扩展信标波前探测的研究与实验

讨论了一种基于Hartmann Shack (H S)传感器的扩展信标相关波前探测方法。通过在传统H S探测光路的物平面上加入视场光阑消除了子孔径像斑的重叠问题 ,并利用一种快速相关算法计算各像斑的相对位移 ,进而得到各子孔径波前的相对斜率。光学实验研究证实了该相关波前探测方法能够较精确地测算出波前像差 ,从而使目前使用最多的H S传感器具有扩展信标波前探测能力     

Exact ground-state correlation functions of one-dimensional strongly correlated electron models with resonating-valence-bond ground state

We investigate one-dimensional strongly correlated electron models which have the resonating-valence-bond state as the exact ground state. The correlation functions are evaluated exactly using the transfer matrix method for the geometric representations of the valence-bond states. In this method, we only treat matrices with small dimensions. This enables us to give analytical results. It is shown that the correlation functions decay exponentially with distance. The result suggests that there is a finite excitation gap, and that the ground state is insulating. Since the corresponding noninteracting systems may be insulating or metallic, we can say that the gap originates from strong correlation. The persistent currents of the present models are also investigated and found to be exactly vanishing.     

类铜离子的电子碰撞参数及其规律

用准相对论扭曲波方法系统地计算了Ｂａ、Ｎｄ、Ｇｄ、Ｙｂ、Ａｕ、Ｐｂ类铜离子组态能级之间的电子碰撞激发强度Ω（ｎｌ－ｎｌ），３≤ｎ≤７，４≤ｎ≤７，同时给出了高能极限的碰撞强度和外推到阈值的碰撞强度，用最小二乘样条方法拟合了全能域碰撞强度及热平均速率系数。对于一个激发过程，用１０个参数可以得到碰撞电子在任意能量下的碰撞强度以及任意温度下的速率系数。     

The effect of the rotational excitation of NO on the stereodynamics for the reaction C(~3P)+NO(X~2Π)→CN(X~2Σ~+)+O(~3P)

The stereodynamic properties of the reaction C(3P)+NO(X2Π)→CN(X2Σ+)+O(3P) in different rotational states of reactant NO are studied theoretically by using the quasiclassical trajectory method on 2A' and 2A' potential energy surfaces(PESs) at a collision energy of 0.06 eV.The vector properties in different rotational states on the two surfaces are discussed in detail.The results indicate that the rotational excitation of NO has considerable influence on the stereodynamic property of the reaction occurring on the two surfaces.At the same time,the calculated polarization-dependent differential cross sections(PDDCSs) in different initial rotational states manifest that products are strongly polarized at three scattering angles.     

双量子阱中的子带光吸收

由于微制造技术的不断发展,如液相外延(LPE),气相外延(VPE),金属有机化学气相沉积(MOCVD)以及分子束外延技术(MBE)等先进的材料生长技术方法也日趋完善,从而使得各种低维半导体量子器件(如半导体、超晶格、量子阱、量子线和量子点等)制造日趋成熟。由于这些低维半导体量子器件具有很强的非线性光效应,而且随着材料、外形、尺寸等的不同,非线性光效应也有很大的差别,更由于其可能存在的广泛的应用前景,所以近年来,一直是人们研究的重点。近来,由于人们相信,利用GaAs／AlGaAs量子阱有可能制造出一些新型的光学仪器,如光开关、光限幅器、光调制器等,所以,对不同势形的GaAs／AlGaAs量子阱的非线性光学特性一直吸引着人们进行理论和实验的研究。而在最近几年,对双量子阱的研究也成为了人们的研究重点。通过密度矩阵和迭代的方法,得到双量子阱中的第一、第三阶子带光吸收表达式,我们将用一个典型的GaAs／AlGaAs双量子阱代入其中进行数值计算,并进行讨论。我们的计算结果显示,阱的光吸收峰不但与中间的势垒宽度有关,更与入射光强有关。     

Effect of magnetic fields on the linear and nonlinear intersubband optical absorption coefficients and refractive index changes in square and graded quantum wells

In this study, both the intersubband optical absorption coefficients and the refractive index changes as dependent on the magnetic field are calculated in square and graded quantum wells. Our results show that the position and the magnitude of the linear and total absorption coefficients and refractive index changes depend on the magnetic field strength and the shape of potential. The incident optical intensity has a great effect on the total absorption and refractive index changes.