分数阶二次非线性Sprott混沌系统的滑模同步控制

本文利用滑模控制方法研究了分数阶二次非线性Sprott混沌系统的同步控制问题.根据分数阶微积分的相关理论,得到了系统取得同步的充分性条件,结果表明:选取适当的控制律下,分数阶Sprott主从系统取得滑模混沌同步.     

含能材料中键离解能的密度泛函理论计算

通过计算一个包括臭氧,硝基甲烷以及1,3,5 -三硝基-1,3,5-三氮杂环已烷(RDX)在内的典型系统的键离解能,对由四种交换/相关函数(BLYP,B3LYP,B3PW91和B3P86)加上不同的基函数组合而成的多种密度泛函方法的准确性进行了比较研究.结果表明:B3P86/6-31G**是计算该系统C-NO2,O-O和N-NO2键离解能的最可靠的方法.     

基于一维间距调制型光子晶格的光传输现象

采用数值模拟方法研究了高斯光束在四种间距调制型光子晶格中的传输规律. 研究发现: 在具有两个正双曲正割势垒和矩形势垒的晶格阵列中, 光波在势垒处发生明显的衍射现象, 而在势阱处发生强烈的局域现象; 在具有两个负双曲正割势垒和负矩形势垒的晶格阵列中, 光波可在势垒处发生无反射传输或在势垒中发生局域现象; 而在势阱中振荡衰减传输. 研究还发现在低功率情况下, 负势垒支持的线性模式间可以发生振荡耦合; 高功率非线性情况下, 光波将发生局域现象. 研究结果为利用光子晶格调节和控制光波传输, 实现全光开关提供了新的思路和方法. 关键词： 调制型光子晶格 波导阵列 模式 光开关     

浅海不确定声场的随机多项式展开法研究

为获得求解浅海不确定声场的普适模型,建立了随机多项式展开法与Helmholtz方程的非嵌入式耦合模型,其间运用概率配点法求解多项式系数。针对仅当海水深度不确定时的Pekeris波导、声速剖面和海深均不确定时的Pekeris波导以及下限深度不确定温跃层等几种情形,计算了传播损失概率密度分布。结果表明所建模型对声场计算模型普适性强,计算精度和计算效率高,可用于研究含多个不确定环境参数、声速剖面复杂的浅海环境中声传播的不确定性。     

Analytical potential energy function for the electronic states 2^∏1/2 and 2^∏3/2 of O^x2 （x=＋1, -1）

The splitting of potential energy levels for ground state X^2∏g of O^x2 （x = ＋1,-1） under spin-orbit coupling （SOC） has been calculated by using the spin-orbit （SO） multi-configuration quasi-degenerate perturbation theory （SO-MCQDPT）. Their Murrell-Sorbie （M S） potential functions are gained, and then the spectroscopic constants for electronic states 2^∏1/2 and 2^∏3/2 are derived from the M S function. The vertical excitation energies for O^x2 （x = ＋1,-1） are v[O2＋1^（2∏3/2→X^2∏1/2）] =195.652cm^-1, and v[O2^-1（2^∏1/2 →X^2∏3/2）] =182.568cm^-1, respectively. All the spectroscopic data for electronic states 2^∏1/2 and 2^∏3/2 are given for the first time.     

Ultraviolet photovoltaic characteristic of MgB2 thin film

Fast photoelectric effects have been observed in MgB₂ thin film fabricated by chemical vapour deposition. The rise time was $\sim $10 ns and the full width at half-maximum was \sim185\,ns for the photovoltaic pulse when the film was irradiated by a 308\,nm laser pulse of 25\,ns in duration. X-ray diffraction and the scanning electron microscope revealed that the film was polycrystalline with preferred c-axis orientation. We propose that nonequilibrium electron--hole pairs are excited in the grains and grain boundary regions for MgB₂ film under ultraviolet laser and then the built-in electric field near the grain boundaries separates carriers, which lead to the appearance of an instant photovoltage.     

The statistical fluctuation of a single-mode laser system driven by coloured pump noise with signal modulation and the quantum noise with cross-correlation between its real and imaginary parts

Using the linear approximation method, this paper studies the statistical property of a single-mode laser driven by both coloured pump noise with signal modulation and the quantum noise with cross-correlation between its real and imaginary parts, and calculates the steady-state mean normalized intensity fluctuation and intensity correlation time. It analyses the influences of the modulation signal, the net gain coefficient, the noise and its correlation form on the statistical fluctuation of the laser system respectively. It is found that the coloured pump noise modulated by the signal has a great suppressing action on the statistical fluctuation of the laser system; the pump noise self-correlation time and the specific frequency of modulation signal have the result that the statistical fluctuation tends to zero. Furthermore, the `colour' correlation of pump noise has much influences on the statistical fluctuation of the laser system. Increasing the intensity of pump noise will augment the statistical fluctuation of the laser system, but the intensity of quantum noise and the coefficient of cross-correlation between its real and imaginary parts have less influence on the statistical fluctuation of the laser system. Therefore, from the conclusions of this paper the statistical property can be known and a theoretical basis for steady operation and output of the laser system can be provided.     

Properties of negative thermal expansion β-eucryptite ceramics prepared by spark plasma sintering

β-eucryptite powders are prepared by the sol-gel method through using tetraethoxysilane lithium nitrate and aluminum isopropoxide as starting materials. β-eucryptite ceramics are prepared by spark plasma sintering. The effects of sintering temperature on the negative thermal expansion properties of the β-eucryptite are investigated by x-ray diffraction(XRD), scanning electron microscopy, and thermal expansion test. The XRD results exhibit no change in the crystal structure of the sample prepared by different sintering processes. The negative thermal expansion properties increase with the increase of the sintering temperature. The coefficient of thermal expansion of β-eucryptite ceramics sintered at 1100℃ is calculated to be -4.93 × 10~(-6)℃~(-1). Crystallization behaviors of the ceramics may play an important role in the increase of negative thermal expansion of β-eucryptite. High sintering temperature could improve the crystallization behaviors of the ceramics and reduce the residue glass phase, which can improve the negative thermal expansion properties of β-eucryptite ceramics.     

N2O异构体结构与解析势能函数

在B3P86/cc-PVTZ水平上,对N₂O异构体进行优化计算,得出N₂O基态的单重态能量最低,其稳定构型为C_∞v构型,平衡核间距R₁=0.1121nm,R₂=0.1177nm,α＝180°,能量为-185.1188a.u.同时计算出基态的简正振动频率ω₁(Π)=601.5010 cm^{关键词： 异构体 多体项展式理论 解析势能函数}     

第一性原理研究霰石的电子结构和光学性质

采用线性缀加平面波方法,研究了霰行的主要成分CaCO3的电子结构和线性光学特性,结果发现,霰石的主要成分CaCO3是一种具有直接带隙4.29119 eV的化合物,在这种化合物中,C原子的2s态和O原子的2s态杂化形成了阴离子[CO3]2-,并解释了介电函数虚部主要峰的形成原因,同时计算和研究了霰石的吸收系数、能量损失系数、折射系数和湮灭系数等光学性质.