高温条件下Ga3PO7晶体热学及声表面波性质的理论研究

高温压电晶体是许多机电器件必需的一种多功能材料, Ga₃PO₇晶体的居里温度高达1364 ℃, 可应用于高温极限条件. 但是预测高温极限条件下晶体的结构以及物理性质的问题采用实验研究的手段非常困难, 而理论上的预测未见研究. 本文采用密度泛函-准谐振近似理论计算了温度在0-1200 ℃范围内Ga₃PO₇ 晶体的结构常数和热学性质, 结果表明Ga₃PO₇晶体的晶格常数a和c随温度的升高呈线性增大, 且c方向受温度影响更为显著; 晶体的密度随温度的升高而减小, 计算的a 和c方向平均热膨胀系数分别为1.67×10^-6 K^-1和3.58×10^-6 K^-1, 高温区定压热容为2.067 J/g·K, 与实验值一致. 计算了从常温到高温下该晶体的弹性常数以及体弹性模量的变化, 研究了高温条件下的声表面波特性, 发现随着温度的升高, 声表面波速度浮动较小, 而机电耦合系数略有增大; 在传播角为151° 时该晶体具有较好的温度稳定性且机电耦合系数达到最大值, 这表明Ga₃PO₇ 晶体是一种有望应用于高温环境下的压电晶体.     

推广的Tschebyshev多项式及其在解强耦合波导方程中的应用

推广了Tschebyshev多项式，对推广的Tschebyshev多项式的性质作了分析；并应用于求解（ N+1）×（N+1）强耦合环形波导耦合器方程，得出解析解. 具体计算了5×5环形定向耦合器 的解，并对弱耦合与强耦合的关系进行了详细分析. 关键词： 推广的Tschebyshev多项式 强耦合波导耦合器     

广义拉盖尔多项式及碱金属原子径向方程的求解

将碱金属原子径向方程化为广义拉盖尔多项式微分方程，方便地求出了碱金属原子体系的能级及广义拉盖尔多项式表示的径向波函数。所得结果不仅适用于碱金属原子，也适用于氢原子，类氢离子。     

广角镜头桶形畸变的二元二次多项式修正法

为了修正广角镜头的桶形畸变,提出了一种基于二元二次多项式的修正方法,阐述了其图像的像素坐标校正和像素灰度恢复方法。该方法首先用模板对广角镜头进行对准相对标定,然后用二元二次多项式拟合畸变图像与非畸变图像像素坐标之间的规律,最后把该方法应用于某广角镜头拍摄的图像,并采用最小二乘法对校正效果进行评价。结果表明:在不考虑视觉系统具体参数的情况下,该方法能够有效地对广角镜头桶形畸变进行修正。     

Nondoped blue fluorescent OLED based on cyanophenanthrimidazole‐styryl‐triphenylamine/carbazole materials

New 2‐(4′‐9H‐carbazole‐9‐yl)‐styryl‐1H‐phenathro[9,10‐d]imidazole‐1‐yl)benzonitrile (SPICN‐Cz) and 4‐(2‐(4‐(diphenylamino)phenyl‐styryl‐1H‐phenathro[9,10‐d]imidazole‐1‐yl)benzonitrile (SPICN‐TPA) have been synthesised, and their photophysical, electrochemical, and electroluminescent properties were analysed in comparison with their cyano‐free parent compounds, SPI‐Cz, and SPI‐TPA. Solvatochromic effects show the transformation of an excited state character from locally excited (LE) state to charge transfer (CT) state. Using time‐dependent density functional theory calculation, the excited state properties of these donor‐acceptor blue emissive materials have been analysed. Their excited state properties have been tuned by replacing the strong donor triphenylamine to weak donor carbazole to achieve the combination of high photoluminance efficiency locally excited (LE) component and high exciton‐utilizing CT component in one excited state. Hybridization processes between LE and CT components of SPICN‐Cz and SPICN‐TPA in the emissive state have been discussed. The nondoped organic light emitting diode device based on SPICN‐Cz exhibit better electroluminescent performances than those of SPICN‐TPA–based device: high external quantum efficiency of 2.58 %, current efficiency of 2.90 cd A^‐1, and power efficiency of 2.26 lm W^‐1 with Commission Internationale de l'Éclairage (CIE) coordinates of (0.15, 0.12). The excited state modulation and the composition of LE and CT states in the donor‐acceptor system could be useful to design low‐cost, high‐efficiency fluorescent organic light emitting diode materials.     

基于多元局部多项式方法的混沌时间序列预测

根据Takens定理，把混沌时间序列构造为一组序列对，然后用多元局部多项式方法来预测其序列.这种核估计方法可以结合局域法与全局法的优点，使得预测的精度更高.仿真结果表明，该方法非常有效.     

一种用于光机热集成分析的新方法——干涉图插值法

Zernike多项式是光机热集成分析中实现光、机、热各分析软件之间数据传递的重要工具。许多光学元件表面形状并不满足Zernike多项式的正交性条件，使有限元分析不能精确拟合光学元件表面变形及变形产生的各项像差。讨论影响Zernike正交性的几个因素，详细介绍将有限元分析得到的光学表面变形数据导入光学分析软件的一种新方法——干涉图插值法。该方法避开Zernike多项式拟合，在去除镜面刚体位移后将镜面畸变精确地表示成干涉图数据，直接生成数据接口。     

Effect of the stagnation temperature on supersonic flow parameters: Application for air in nozzles

When the stagnation temperature of a perfect gas increases, the specific heats and their ratio do not remain constant any more and start to vary with this temperature. The gas remains perfect and its state equation always remains valid, except it will be called a calorically imperfect gas. The aim of this research is to develop the relations of the necessary thermodynamics and geometrical ratios and to study the supersonic flow at high temperature (lower than the threshold of dissociation). The results are found by the resolution of nonlinear algebraic equations and integration of complex analytical functions where the exact calculation is impossible. The dichotomy method is used to solve the nonlinear equation, and the Simpson algorithm is used for the numerical integration of the found integrals. A condensation of the nodes is used, since the functions to be integrated have a high gradient at the extremity of the interval of integration. A comparison is made with a calorifcally perfect gas to determine the error of this. An application is made for air in a supersonic nozzle. The text was submitted by the authors in English.     

任意网格重映的样条逼近算法

在大变形流体力学问题的数值模拟中,任何方法都必须考虑网格重分或网格自适应,只要改动网格就涉及重分,或自适应后从旧的、扭曲的网格到新网格的守恒量重映,包括质量、动量和能量.在研究样条函数逼近的基础上,给出一种物理量重映的对结构网格和非结构网格均适应的算法,并给出了数值结果.     

Bayer格式图像的实时彩色复原

为了减少算法的计算量,保证系统的实时性,本文针对Bayer格式图像提出了一种有效的彩色复原插值算法。插值过程中利用了人眼的视觉特性,能够更精确地得到图像的亮度信息和边缘信息。利用彩色图像的边缘特性更精确地复原了边缘处的R、G、B值。算法最终解为一系列5×5大小稀疏的线性滤波器,其复杂度低,实现简单,能在计算机各种嵌入式处理器中完成实时处理。实验证明,本算法的峰值信噪比(PSNR)比通常采用的双线性算法高4~6 db,且有效地减少了插值算法中出现的锯齿现象,使图像彩色的复原性和实时性比双线性算法更优越,具有一定的应用价值。