Invariant sets and solutions to the generalized thin film equation

The invariant sets and the solutions of the 1 2-dimensional generalized thin film equation are discussed. It is shown that there exists a class of solutions to the equations, which are invariant with respect to the set E0 = {u : ux = vxF(u), uy = vyF(u)}, where v is a smooth function of variables x, y and F is a smooth function of u. This extends the results of Galaktionov (2001) and for the l l-dimensional nonlinear evolution equations.     

Angle-dependent infrared absorption spectroscopy at electrode/electrolyte interfaces

Angle-dependent internal reflection spectroscopy is performed in the attenuated total reflection setup for an electrochemical cell with a Fourier transform infrared spectrometer. The working electrode is a thin Pt film evaporated onto a hemispherical Si prism. The refractive index of the Pt film obtained from the experiment is found to differ from the value for bulk material. The difference is ascribed to the surface corrugation of the Pt surface and the film thickness in the nanometer range. The function of reflection intensity versus angle of incidence changes significantly when a resonant absorption occurs in the electrolyte medium. The angle-dependent absorption band intensity of CO adsorbed on the Pt film under potential control reveals changes in magnitude and an inversion of the band for different angles of incidence. This behaviour is explained by the excitation of resonant surface plasmon waves at the Pt/electrolyte interface and by multiple reflections occurring at the interfaces. A simulation for the three-layer system Si/Pt/electrolyte agrees with the experimental results.     

单层介质膜保偏全反射直角三棱镜镀膜材料的选择及其微分相位特性研究

入射角、基底玻璃折射率、膜介质折射率、膜厚等因素会影响单层介质膜保偏全反射直角三棱镜的保偏特性，且各因素的影响程度并不相同。本文分析了上述各因素的微小变化对保偏特性的影响，并提出了选择膜介质的方法     

包含极值点和分枝点的解曲线跟踪算法的摄动解法

本文提出了采用摄动格式求解非线性方程组的解曲线跟踪算法的计算格式.文中着重讨论了解曲线上非正则点的搜索,以及从这些非正则点——转向点或分枝点——继续跟踪超临界平衡路径的计算方法.文中把这一算法应用于弹性薄壳的屈曲分析。通过柱壳和环壳的算例得到它们的整个屈曲过程的平衡路径和变形形态.     

On Calculating a Translational Flow Through a System of Circular or Spherical Layers with Different Permeabilities

The problem of finding the potential of a translational flow through a system of circular or spherical layers in a porous medium obeying Darcy's law is considered. The permeability coefficients change stepwise across the interface. The method is based on deriving special recurrence relations which give a rational dependence of the potentials on the permeability coefficients suitable for specific calculations.     

中频脉冲磁控溅射制备氮化铝薄膜

使用中频脉冲磁控溅射技术分别在Si（111）、玻璃以及高速钢基底上沉积A1N薄膜，利用X射线衍射、X射线光电子谱、扫描电镜、紫外荧光、FTIR、精密阻抗分析仪等研究了薄膜的结构、光学及电学性质，结果表明，生成的（002）取向多晶A1N薄膜在可见光区域平均透过率超过75％，在紫外区域也具有较高的透过经，在低频交流区域具有良好的绝缘性。     

TiO2薄膜的结构和光学性质的研究

以金属钛为靶材，用反应射频溅射法制备了TiO2薄膜，并在600－900℃下进行了热处理，经XRD测量，在600－800℃下TiO2薄膜为锐钛矿和金红石两种结构的混合态，在900℃下TiO2薄膜为纯金红石结构，研究TiO2薄膜的SEM照片和UV－vis透射光谱发现，不同的热处理温度会影响TiO2薄膜中锐矿和金红石两种结构的比例，从而导致TiO2薄膜的微观形貌，折射率，禁带宽度等性质的变化。     

从薄膜波导传播衰减的角度研究光学薄膜的损耗:(Ⅱ)实验分析

本文从实验的角度介绍从薄膜导波传播衰减研究光学薄膜损耗的方法,并以一些低损耗的光学薄膜样品的测量结果说明这种方法对损耗研究的灵敏程度及其优越性.     

Elastic rods, Weierstrass’ theory and special travelling waves solutions with compact support

By an extension of the usual Weierstrass discussion for first-order differential equations, we determine a simple criterion which allows us to determine when compact structures are possible in second-order wave equations. For higher-order wave equations, such as the modified improved Boussinesq equation, this criterion may still be used, but the appearance of an overdetermined system of differential equations which is not trivially satisfied, unlike in the second-order case, renders the possibility of compact structures a happenstance.