基于多色散斑延长效应的表面粗糙度测量及影响因素分析

粗糙表面在多波长激光束照射下形成的多色散斑场显示出散斑延长效应,利用此效应可以测量表面粗糙度,并且测量结果在一定条件下不受粗糙表面横向特征的影响。通过模拟计算随机粗糙表面的多色散斑场,以空间平均的多色散斑场局部自相关函数研究了平均散斑延长率〈χ〉对表面轮廓均方根偏差σh的依赖关系,分析了测量系统因素,如入射激光波长组合、成像器件光敏单元尺寸和动态范围对测量结果的影响。结果表明,以空间平均的局部自相关函数代替集平均的散斑自相关函数描述多色散斑延长效应是有效的;为达到一定的粗糙度测量精度,应选择合适的入射激光波长组合和合适的成像器件光敏单元尺寸。     

Statistical Weakness of Multiplexed Sequences

It is proved that the out-of-phase autocorrelation of a well-known class of multiplexed sequences for cryptographic and spread spectrum applications is necessarily high for relatively small values of the phase shifts. Related design criteria for the multiplexer generator including the use of full positive difference sets are proposed. By generalizing the classical occupancy problem, higher order statistical weaknesses of multiplexed sequences are also established.     

Velocity autocorrelation function in lattice gases from the ring kinetic theory. Comparison with numerical simulations

We obtain the complete time dependence of the velocity autocorrelation function (VACF) for lattice gas cellular automata, usingring kinetic theory. This theory accounts for the simplest correlated collisions that improve on the molecular chaos approach, and yields a closed equation for the VACF that we evaluate for both infinite and finite systems. We compare our analytical results with numerical simulations at all times, as well as with long-time results of the mode coupling theories, finding a very good agreement for all times at all densities.     

Submillisecond detection of single rhodamine molecules in water

Using a modified confocal fluorescence microscope and a CW argon laser, we have measured fluorescence bursts from diffusing single Rh6G molecules that clearly exceed the background intensity. The exact average number of molecules in the observable volume elements was measured directly via the fluorescence intensity autocorrelation function. This allowed us to estimate the probability of finding several molecules simultaneously in the volume element. A tradeoff between the number of detected fluorescence photons and the signal-to-background ratio was observed. In a volume element of 0.24 fl, 4 photoelectrons on average were detected from a molecule of Rh6G with a fluorescence-to-background ratio of 1000, while the volume element of 60 fl yielded on average 100 photoelectrons with a background of 25 counts. In fast single-molecule detection the intersystem crossing into the triplet state plays an important role, affecting the maximum emission rate from the molecule.This is a peer-reviewed conference proceeding article from the Third Conference on Methods and Applications of Fluorescence Spectroscopy, Prague, Czech Republic, October 18–21, 1993.     

诱导效应描述符与胺、醇、醚类化合物电离能的关系

提出了诱导效应均衡原理,在此基础上导出了一个新的诱导效应描述符,并给出了一套新的诱导效应参数(IEP).结合原子序数自相关拓扑指数0F和1F,研究了胺、醇、醚类化合物第一电离能(IP)的定量构效关系,用该式预测了32种胺、醇、醚类化合物的第一电离能,平均绝对误差仅为0.044 5 eV,预测值与实验值十分吻合,优于文献报道的方法.     

一种新的自相关拓扑指数及其互补指数应用于不饱和链烃物理性质的QSPR研究

依据系统命名法的编号原则及不饱和链烃的结构特证,建立了原子的染色序数(ti),并在邻矩阵基础上由ti构建原子染色序数自相关指数(mR)及互补指数mR′,其中0R1、R、互补指数0R′1、R′,C原子个数(N)与炔烃的沸点、烯烃的热力学性质(标准生成焓、标准熵、标准熵和标准生成自由能)有良好的相关性,相关系数分别为0.999 2,0.999 4,0.999 4和0.994 1.该模型用于预测不饱和链烃的物理性质,计算简便,结果准确.     

Chaos game representation walk model for the protein sequences

A new chaos game representation of protein sequences based on the detailed hydrophobic--hydrophilic (HP) model has been proposed by Yu et al (Physica A 337 (2004) 171). A CGR-walk model is proposed based on the new CGR coordinates for the protein sequences from complete genomes in the present paper. The new CGR coordinates based on the detailed HP model are converted into a time series, and a long-memory ARFIMA(p, d, q) model is introduced into the protein sequence analysis. This model is applied to simulating real CGR-walk sequence data of twelve protein sequences. Remarkably long-range correlations are uncovered in the data and the results obtained from these models are reasonably consistent with those available from the ARFIMA(p, d, q) model.     

TEMPORAL CHARACTERIZATION OF LASER PULSES FROM JIGUANG-I LASER FACILITY WITH A COMPACT DUAL FUNCTION AUTOCORRELATOR

An optical pulse autocorrelator for rapid and slow scanning is described in this paper. Using an audio loudspeaker on one arm, an interferometric rapid-scanning signal of the output from a high-repetition laser oscillator is obtained. However, by adjusting the positions of the mirrors and using a step-motor on another arm, the intensity autocorrelation function of the output from a low-repetition laser amplifier can be easily measured. Using all-reflecting optics and an adequate nonlinear crystal, the whole instrument is very compact and has been used to measure sub-20 fs light pulses in both configurations with excellent agreement. In the slow-scanning configuration, a pulse train as long as 500ps has been determined. Using this autocorrelator, the home-made JIGUANG-I CPA laser facility was characterized for its pulse duration evolution.     

线性回归模型误差相关的一种诊断方法

本文就线性回归模型的优化问题 ,对误差的自相关性作了一些简单的分析 ,得出了一个对自相关现象的诊断方法 ,从而为模型的进一步诊断和治疗提供了依据和思路