矩形介质光波导的条形传递函数方法

将条形传递函数方法引入矩形介质光波导传播特性的分析计算,从标量波动方程的变分表达式出发,推导和建立了条形传递函数方法的基本方程和两种应用模型,作为算例,给出了阶跃型折射率分布矩形介质光波导的数值计算结果,并与其它方法进行了比较,表明了此方法的精度及对光波导问题的适用性。     

扩散沟道光波导的条形传递函数解

利用条形传递函数方法分析了二维扩散沟道光波导的传播特性,对两种典型折射率分布计算的数值结果与精确解及其它方法的结果进行了比较,表明该方法具有优于其它数值方法的精度.     

光波导的条形传递函数无限元解

将无限元引入了条形传递函数方法并用于对光波导的分析。为了对光波导的无穷区域进行处理引入了两种无限单元,一种为解析方向单元,另一种为离散方向单元。在构造无限元的过程中,为了求解方便,利用光波导标量波动方程的特点引入了二阶传递函数解法。最后以矩形波导为例计算并与其他方法进行了比较,结果表明本方法在分析光波导在近截止频率附近的传播特性方面优势明显,并可节省大量的计算。     

基于表观传递函数的象质评价及计算(Ⅰ)

从Hopkins的部分相干理论出发,导出一般形式下振幅物的象强度分布公式,讨论表观传递函数与交叉传递函数的关系。数值计算结果表明,控制表观传递函数即可控制交叉传递函数,表观传递函数是一种较好的象质评价指标。     

参数不确定统一混沌系统的鲁棒分数阶比例-微分控制

针对含参数不确定的整数阶统一混沌系统, 提出一种鲁棒分数阶比例-微分(PD^μ)控制. 通过变换将受控统一混沌系统转换成等效被控对象及其等效控制器. 针对等效被控对象, 基于一种改进Monje-Vinagre方法并考虑到求解性能约束方程组的复杂度, 设计了鲁棒PD^μ控制器. 通过基于最小相角边界传递函数和最大增益边界传递函数的设计约束来保证受控统一混沌系统对参数不确定性的鲁棒性能. 数值仿真验证了所提出方法的有效性.     

受扰航天器姿态动力学中参数未知的混沌运动控制

研究了扰动力矩作用下航天器姿态运动的欧拉动力学方程. 讨论了当选取扰动力矩中不同的参数矩阵, 欧拉方程可产生一大类混沌系统. 设计了基于Lyapunov方法的自适应控制律, 完成了该类系统中参数未知的混沌运动的控制, 并且能够将系统状态变量稳定于指定平衡点, 同时实现了对未知参数的实时辨识. 以Newton-Leipnik系统为例, 进行了数值仿真, 仿真结果表明了该方法的有效性. 关键词： 姿态运动 混沌控制 参数未知 Newton-Leipnik 系统     

湍流大气成像系统长曝光传递函数的研究

采用傅里叶变换法对在Kolmogorov谱大气湍流下望远镜的长曝光成像进行了模拟,给出了湍流大气成像系统长曝光传递函数的数值模拟方法,求出了在此情况下的长曝光传递函数。给出了大气湍流在Kolmogorov谱假设下成像系统长曝光传递函数的理论值。基于空间目标为点目标的假设,提出了一种湍流大气成像系统长曝光传递函数的测量方法。对由三种方法获取的大气湍流长曝光传递函数进行了比对分析。结果表明,由三种方法获取的大气湍流长曝光传递函数基本上是一致的,由傅里叶变换法模拟和实际测量得到的传递函数是合理的。     

同轴法射线相衬成像的数值模拟计算与分析

对同轴法射线相衬成像进行数值模拟计算,可用于特定对象检测方法的可行性分析或检测参数优化。为此,分析了同轴法射线相衬成像系统数值模拟计算的原理及其实现方法,并针对圆形物体、长条形物体进行了相衬成像实验的数值模拟计算。对照计算结果进行分析可知:对物体平面进行离散化的尺寸很大程度上影响到数值模拟计算结果的准确程度,究其原因在于对物体平面进行离散化时决定了成像系统光学传递函数离散化的准确程度;为保证数值模拟结果的准确性,应使数值计算中光学传递函数取值点连续、不存在明显的失真;保证数值模拟结果准确所需的光学传递函数的离散化尺寸不是固定的,而是应与检测对象的大小相匹配。     

喷管中非平衡化学反应气体高速流动的数值模拟

本文给出了非平衡化学反应气体流动的控制方程,并对高速流动情况下控制方程的求解方法进行了详细讨论。本文采用定常方法模拟定常化学反应流动,避免了时间相关法求解中的方程“病态”问题,采用压力主变量原参数求解的方法数值模拟化学反应高速流动,国内外尚未见先例。本文对H_2-F_2化学反应系统在喷管中的流动进行了数值模拟得到了一些有用的结果。     

基于变分方法的混沌系统参数估计

提出一种基于变分原理的估计混沌系统未知参数的方法,对以x= F(x,θ) 为控制方程的所有混沌系统具有普适性.首先将混沌系统方程引入到目标泛函中;接着利用变分原理导出了混沌系统的伴随方程和待辨识参数泛函梯度的通用公式;然后设计了估计混沌系统未知参数的算法;最后对典型的Lorenz混沌系统和超混沌Chen系统的未知参数进行了估计.数值仿真结果表明该方法是一种非常有效的估计混沌系统未知参数的方法. 关键词： 混沌系统 参数估计 变分方法 伴随方程     

核磁共振碳谱研究:烷烃化学位移和(CSS)与分子路径指数矢量(VPM)

系统研究了核磁共振碳谱和化学位移规律及其定量构谱关系(QSSR).本文研究了一组十元素分子路径指数矢量VPM,并发现它与烷烃化学位移和CCS有良好线性相关性.采用多元线性回归进行准确估计与预测,结果优良.     

Reduced s-d model with antiferromagnetically coupled impurity spins

An antiferromagnetic equivalent-neighbour Heisenberg interaction H_i between impurity spins is added to the reduced s-d Hamiltonian H_r previously introduced by simplifying the Kondo s-d exchange Hamiltonian H_K. Asymptotic mean-field theory is developed for H_r + H_i, in the presence and absence of external magnetic field, and applied to (La_1−xCe_x)Al₂ alloys. Specific heat c_i(T) and zero-field susceptibility χ_i(0,T) curves for (La_1−xCe_x)Al₂ are depicted. The coupling constants of H_r + H_i and conduction bandwidth are adjusted so that T_c temperatures for x = 0.2, 0.1 are equal to the experimental values. c_i(T) exhibits a jump at T_c and is decreasing for T < T_c. χ_i(0,T) has a first order pole at T_c which corresponds to the maximum of experimental susceptibility and χ_i(0,0) > 0. These results improve those obtained earlier on the grounds of H_r theory.     

Interrelations of discrete Painlevé equations through limiting procedures

We study the discrete Painlevé equations associated to the affine Weyl group which can be obtained by the implementation of a special limits of -associated equations. This study is motivated by the existence of two -associated discrete both having a double ternary dependence in their coefficients and which have not been related before. We show here that two equations correspond to two different limits of a -associated discrete Painlevé equation. Applying the same limiting procedures to other -associated equations we obtained several -related equations most of which have not been previously derived.     

The ΔNγ electromagnetic transition form factors GM(q) and GE(q)

A parameter-free, nonperturbative calculation of the ΔNγ electromagnetic transition amplitudes GM*(q2), GE*(q2), and the resonant multipole ratio REM(q2)≡E1+3/2(q2)/M1+3/2(q2) is performed in terms of the well-known nucleon isovector Sachs form factor GMV. Our methods are fully relativistic with conservation of the electromagnetic current guaranteed. We find that GM*(q2) decreases more rapidly than the nucleon dipole form factor when −q21 GeV2/c2 and that REM(q2) remains small even for very high four-momentum transfer implying that the perturbative QCD prediction REM(q2)→1 is purely asymptotic and is valid only for extremely high |q2|.     

Determination of Hansen Solubility Parameters for the Solid Surface of Cellulose Acetate Butyrate by Inverse Gas Chromatography

The specific retention volumes, , for adsorption of 21 solute probes on the solid surface of cellulose acetate butyrate (CAB) were determined in the temperature range 343.15 to 403.15 K by inverse gas chromatography (IGC). The weight fraction activity coefficients, , and Flory–Huggins interaction parameters, , were evaluated using . Both and values decreased with increase of temperature in all the solutes. Further, the values increased with increase of chain length in n-alkanes, but in the case of alcohols the trend was reversed. values were less than 0.5 in polar solutes and greater than 0.5 in 1-alkanes and alcohols. The Hansen solubility parameters (HSP) were calculated by relating with the cohesive energy of adsorption of the solutes on the surface of CAB. The adsorption model proposed by Snyder and Karger was used to determine the HSP for the CAB. The dispersive, , polar, , and hydrogen bonding components of HSP decreased with increase of temperature and the relative error associated with these parameters increased with increase of temperature. The characterization of the solid surface of CAB in terms of the three solubility parameter components was analyzed and is discussed.     

The Shapovalov Determinant for the Poisson Superalgebras

Abstract

Among simple ?-graded Lie superalgebras of polynomial growth, there are several which have no Cartan matrix but, nevertheless, have a quadratic even Casimir element C ₂: these are the Lie superalgebra of vector fields on the (1|6)-dimensional supercircle preserving the contact form, and the series: the finite dimensional Lie superalgebra of special Hamiltonian fields in 2k odd indeterminates, and the Kac–Moody version of . Using C ₂ we compute N. Shapovalov determinant for and , and for the Poisson superalgebras associated with . A. Shapovalov described irreducible finite dimensional representations of and ; we generalize his result for Verma modules: give criteria for irreducibility of the Verma modules over and