Recent advances with electro-optic polymers

Abstract

In recent years the electro-optic polymers emerged as an important branch of material science. This growth and interest is fundamentally motivated by practical application of these materials in second-order nonlinear optics and in waveguiding configuration. Indeed, these materials marry excellent optical quality of amorphous σ bonded polymers with enhanced first hyperpolarizability of imbedded organic nonlinear optical molecules. Although a big progress was achieved with them, concerning particularly the science, understanding and applications, some problems remain still incompletely solved, particularly the stability of induced polar order by the application of external electric field and the molecule aggregation. In this review paper we recall techniques of thin film fabrication, poling, characterization of NLO properties and discuss more precisely problems of molecule aggregation as well as the temporal decay of polar order. A novel 3D second-order NLO chromophores, namely the [2] paracyclophanes, which may help to limit the aggregation, are proposed. We show, in particular, that this molecule can be poled in doped PMMA thin films. Practical applications of electro-optic polymers are also reviewed and discussed.     

Asymptotic bias of the least squares estimator for multivariate autoregressive models

Summary The asymptotic bias of the least squares estimator for the multivariate autoregressive models is derived. The formulas for the low order univariate autoregressive models are given in terms of the simple functions of parameters. Our results are useful to the bias correction method of the least squares estimation. This work was supported by National Science Foundation Grant SES79-13976 at the Institute for Mathematical Studies in the Social Sciences, Stanford University. This paper is a revision of Discussion Paper No. 504, The Center for Mathematical Studies in Economics and Management Science, Northwestern University, October 1981.     

尿毒症中分子毒物的分离及飞行时间质谱分析

尿毒症被认为是因为患者肾衰而毒素在体内滞留所致^[1]。1972年Babb等^[2]提出“中分子假说”,认为分子量在300－2000范围内的中等分子量的物质是尿毒症的主要毒性物质。从此,人们作了大量的努力去分离和鉴定尿毒症中分子毒物。然而尿毒症中分子毒物的成分极其复杂^[3],从设定的中分子组分中分离得到的大都是些分子量小于800的小分子物质^[4]。因而对中分子假说一直存在争议^[5].我们对尿毒症患者及正常人的血清和尿液进行凝胶色谱分离,从尿毒症血清和尿液及正常人尿液中得到两个中分子峰A,B。将不同来源的A峰中的分子毒物进行离子交换色谱的分离和比较,得到了仅存在于尿毒症血清和正常人尿液的A－3亚峰,经脱盐和飞行时间质谱分析,确定了该组分内含有分子分别为839．69,1007．94,2015．16,16,873．69,1106．67和1680．28的6种化合物。     

钛宝石再生放大器实验研究

分析了啁啾脉冲在钛宝石再生放大器中的能量增益与泵浦光及信号光光束口径的关系。并用不同能量的调Ｑ倍频ＮｄＹＡＧ激光器的５３２ｎｍ光为泵浦光，测量了２ＴＷ钛宝石激光系统中钛宝石再生放大器在无注入信号脉冲时和有注入信号脉冲时的脉冲建立时间及相应的输出能量大小。再生放大器的增益为２×１０７。     

基于动态参照点的损失厌恶投资组合优化模型

在连续时间下,考虑损失厌恶投资者参照点的动态调整特征,构建基于动态参照点的损失厌恶投资组合模型,使用鞅方法对模型进行求解,得到最优风险资产权重的解析表达式。并计算损失厌恶投资者在参照点动态调整条件下的预期最优期末财富。进一步应用数值算例,分析投资者的参照点动态调整幅度和损失厌恶水平对模型最优风险资产权重和预期最优期末财富的影响。     

Wavelet-Taylor Galerkin Method for the Burgers Equation

In this paper, we propose a wavelet-Taylor Galerkin method for the numerical solution of the Burgers equation. In deriving the computational scheme, Taylor-generalized Euler time discretization is performed prior to wavelet-based Galerkin spatial approximation. The linear system of equations obtained in the process are solved by approximate-factorization-based simple explicit schemes, and the resulting solution is compared with that from regular methods. To deal with transient advection-diffusion situations that evolve toward a convective steady state, a splitting-up strategy is known to be very effective. So the Burgers equation is also solved by a splitting-up method using a wavelet-Taylor Galerkin approach. Here, the advection and diffusion terms in the Burgers equation are separated, and the solution is computed in two phases by appropriate wavelet-Taylor Galerkin schemes. Asymptotic stability of all the proposed schemes is verified, and the L_∞ errors relative to the analytical solution together with the numerical solution are reported. AMS subject classification (2000) 65M70     

自动实时激光全息无损检测系统

介绍一种自动激光全息无损检测系统。该系统由计算机控制自动曝光，并对全息干版进行自动冲洗和对测量数据进行处理，解决了一次曝光激光全息实时检测中全息干版无法精确复位的问题。计算机控制真空加载，缺陷大小及位置由计算机打印输出，一次最大测量面积为０５ｍ×１２ｍ，最小分辨缺陷尺寸为３ｍｍ。     

线性唯象传热定律下光驱动发动机的最优路径

以存在热漏、摩擦等不可逆性,以双分子反应系统2SO3FS2O6F2为工质的光驱动发动机为研究对象,考虑工质与环境之间传热服从线性唯象传热定律[q∝Δ(T-1)],分别以输出功最大和熵产生最小为目标对整个循环活塞运动的最优路径进行研究.利用最优控制理论得出了活塞运动路径及工质温度的最优构型,给出了最优构型的数值算例,并与牛顿传热定律[q∝Δ(T)]下的最优构型进行了比较.