光学粒子尺寸及其它参量测量的新方法

介绍最近发展起来的三种主要的粒子尺寸及其它参量的光学测量方法,较详细地说明了相位多谱勒法、基于衍射的短阵迭代和积分变换法、测量散射短阵元的分析方法的测量原理和实现方法,对各方法的主要特点进行了讨论。     

体上GP矩阵的刻划

在文[2]～[6]的基础上,本文证明了体上 GP 矩阵的15种刻划,并给出了强 P 除环上GP 矩阵的一个充要条件及其群逆的一个显式。     

Dissipation and Decoherence in a Quantum Oscillator

The time development of the reduced density matrix for a quantum oscillator damped by coupling it to an ohmic environment is calculated via an identity of the Debye-Waller form. Results obtained some years ago by Hakim and the author in the free-particle limit⁽¹⁰⁾ are thus recovered. The evolution of a free particle in a prepared initial state is examined, and a previously published exchange^(5,9) is illuminated with figures showing no decoherence without dissipation. PACS number: 03.75.Ss     

A dynamical formulation of one-dimensional scattering theory and its applications in optics

We develop a dynamical formulation of one-dimensional scattering theory where the reflection and transmission amplitudes for a general, possibly complex and energy-dependent, scattering potential are given as solutions of a set of dynamical equations. By decoupling and partially integrating these equations, we reduce the scattering problem to a second order linear differential equation with universal initial conditions that is equivalent to an initial-value time-independent Schrödinger equation. We give explicit formulas for the reflection and transmission amplitudes in terms of the solution of either of these equations and employ them to outline an inverse-scattering method for constructing finite-range potentials with desirable scattering properties at any prescribed wavelength. In particular, we construct optical potentials displaying threshold lasing, antilasing, and unidirectional invisibility.     

石化废水处理过程中荧光有机物变化特征及去除效果

石化废水排放量大、污染物成分复杂,对环境的危害较大。采用三维荧光光谱扫描技术分析了某大型石化企业综合污水处理厂各处理单元(水解酸化+A/O+接触氧化工艺)进出水的荧光光谱特征。污水厂总进水包含四个荧光峰Peak A,Peak B,Peak D,Peak E,分别位于λex/λem=220/300,225/340,270/300,275/340nm附近,荧光物质主要来自工业废水,水解酸化池出水各荧光峰强度有所降低,位置基本不变,厌氧池出水λex/λem=250/425nm附近出现新荧光峰Peak C,好氧池出水荧光峰Peak C处荧光强度有所增强,二沉池出水Peak A消失,二沉池之后水样荧光谱图变化不大;该处理工艺对荧光有机物的总去除率为92.0%,Peak A,Peak B,Peak D,Peak E附近的荧光有机物去除率分别为100.0%,91.2%,80.3%,92.0%;污水厂进水IPeak B/IPeak E值波动较大而出水变化不大,表明该污水处理厂运行稳定,其处理工艺具有较强的抗冲击负荷能力。     

Singular perturbation of first boundary value problem for higher order elliptic equations (II)

In this paper we discuss singular perturbations of first boundary value problem for higher order elliptic equations of two parameter and obtain the asymptotic expression for the formal solution containing two-parameter as well as the estimation of its remainder term. These results are the extensions of (2) and (3).     

基于广义逆矩阵的Bézier曲线近似合并

Bézier曲线近似合并算法在几何数据压缩方面有着重要的应用.研究了两条相邻Bézier曲线近似合并的问题,用矩阵的形式给出了相邻Bézier曲线可精确合并的条件,并在此基础上通过广义逆矩阵的方法求解合并逼近后的Bézier曲线.同时,对保端点插值条件的近似合并也给出了结果.最后用实例说明了算法的有效性,得到了很好的逼近效果.     

Metastability in the two-dimensional ising model

Metastability in the Ising model is studied in two ways. In a dynamical Monte Carlo model, metastable magnetization and lifetime are measured for various magnetic fields and low temperatures. Following up a proposed relation between analytic continuation of transfer matrix eigenvalues and metastability, transfer matrix eigenvalues are studied. We examine the extent to which these approaches agree. The Monte Carlo data also provide quantitative support for the critical droplet model for decay.     

直觉判断矩阵的弱传递性与加型一致性研究

定义了直觉判断矩阵的有向图和有向路概念,证明在一定的条件下直觉判断矩阵的有向图有唯一有向路.利用该结论给出一个简洁的排序方法,并指出这种方法的不足之处.通过反例说明了直觉判断矩阵已有的加型一致性概念与弱传递性概念之间没有必然强弱关系.根据直觉模糊数的得分值和精确度值,利用效用的思想给出直觉判断矩阵加型一致性的新定义,并证明了新定义的加型一致性具有弱传递性.针对一般的直觉判断矩阵, 运用新定义的加型一致性概念以及偏差函数的方法给出了求解直觉判断矩阵的直觉模糊数型权重的模型,并通过算例验证了决策方法的实用性.     

Convergence rates for steady-state derivative estimators

We describe various derivative estimators for the case of steady-state performance measures and obtain the order of their convergence rates. These estimatorsdo not use explicitly the regenerative structure of the system. Estimators based on infinitesimal perturbation analysis, likelihood ratios, and different kinds of finite-differences are examined. The theoretical results are illustrated via numerical examples.