Determination of the densities and temperatures of two low energy electron groups in a hollow cathode discharge

A new method of Langmuir probe analysis for non-Maxwellian plasmas is proposed. The method consists of computer fitting a mathematical function to the normal probe voltage-current characteristic, assuming two groups of electrons, each with a Maxwellian distribution. The advantages of the method are that both the temperatures and the densities of the two groups may be determined and that the electron energy distribution function is a tractable mathematical function. The two groups are proven to be very nearly Maxwellian in the pressure range of 1.8 to 3.8 torr helium and the results are in excellent qualitative agreement with results obtained spectroscopically by other authors.     

A novel approach for characterizing the nonlinear phase steps of the PZT in interferometry

We propose a novel approach to estimate the phase distribution in the presence of nonlinear response of the PZT. The proposed method is an outcome of two different concepts based on the discrete chirp Fourier transform (DCFT) and the maximum-likelihood estimator for the estimation of nonlinear phase step. The robustness of the proposed method is tested for various magnitudes of nonlinearity and harmonics. Comparison of our proposed method with the bench marking algorithm by Hibino et al.'s six and nine sample algorithm in the presence of noise shows that our method is highly efficient.     

发光二极管路灯光强空间分布的非线性优化设计

道路照明的首要目的是满足使用者的视觉需求,在此前提下还应尽可能降低能耗实现节能环保,这两点均与道路灯具的光强空间分布密切相关。而很难用一种通用的光强分布适用不同的道路和灯具安装条件。针对主干路、次干路、支路3种典型道路类型,提出了根据具体道路、安装条件以及驾驶员视觉光环境需求逆向设计灯具最节能光强空间分布的思路,并建立了以驾驶员视觉光环境需求为约束、以灯具总光通量最小为目标的非线性优化模型,将路面照度分布表述为余弦多项式并利用分级优化方法进行了求解。得到了3种典型道路条件下发光二极管(LED)路灯的最佳光强空间分布,相比现基于照度均匀分布设计的LED路灯光强分布,驾驶员视觉光环境质量显著改善,且灯具节能30%左右。     

Mode dispersion characteristics of graded-index optical waveguides

A method to compute the propagating modes of graded index waveguides with an arbitrary refractive index distribution is proposed, based on the variational method applied to the integral wave equation. The method is applied to two refractive index distributions: a Gaussian index distribution and a complementary error-function index distribution. The results are compared with the predictions of perturbation analysis and are experimentally verified by measuring the mode spectrum of a Ti-diffused LiNbO₃ waveguide.     

基于傅立叶变换的射频场分布测量方法

提出了一种基于傅立叶变换的射频场分布测量方法，该方法可以方便地测量出射频场的分布，其测量结果与样品的均匀度无关并且可以分别观测某个像素点处的层内射频场非均匀性或某个小区域内的射频场非均匀性.     

X射线脉冲星累积轮廓建模及信号辨识

为减少X射线脉冲星信号辨识所需的观测时间, 提出一种基于轮廓光子分布统计量的辨识算法. 用该方法分析了观测数据按不同周期累积所获轮廓的光子分布差异, 按累积周期正确与否, 对轮廓进行分类建模. 基于两类轮廓模型, 研究了光子分布统计量的性质差异, 以此进行信号辨识. 利用罗西X射线时变探测器数据进行了辨识实验, 结果表明该算法有效地减少了辨识所需的观测时间, 且不存在误检问题.     

一种简单精准的渐变折射率分布光波导分析方法

渐变折射率分布的光波导分析对光波导器件的设计和研究至关重要, 近年来已提出了多种分析方法, 然而在简便性或准确性上都存在着不足. 为此, 提出了一种分析渐变折射率分布光波导的方法, 能够结合现有的Wentzel-Kramers-Brillouin近似法和离散化的波动方程, 构建模场分布, 再结合变分运算方程和修正的模式本征方程, 计算出较为精确的有效折射率. 与其他分析方法相比, 该方法较为简单, 而且有一定的精度.     

Analysis of fluorescence decay kinetics of thioflavin t by a maximum entropy method

The application of a maximum entropy method (MEM) for analysis of time-resolved fluorescence data is discussed. A developed version of MEM has been tested using simulated kinetic data. Based on computed results, practical criteria have been established to determine whether the lifetime distribution of emitting centers is described by a discrete spectrum (a set of two or three exponentials) or by a continuous one (mono- or bimodal distribution of exponentials). The proposed method has been used to analyze the fluorescence decay kinetics of thioflavin T (ThT) intercalated into amyloid fibrils. The presence of two peaks in the lifetime distribution of emitting centers has been explained by the existence in fibrils of two types of binding centers substantially differing in microenvironment rigidity. This suggestion is supported by the results of fluorescence quenching of intercalated ThT with the quencher KI.     

Determination of the relative power density distribution in a heterogeneous reactor from the results of measurements of the reactivity effects and the neutron importance function

A method for experimental determination of the relative power density distribution in a heterogeneous reactor based on measurements of fuel reactivity effects and importance of neutrons from a californium source is proposed. The method was perfected on two critical assembly configurations at the NARCISS facility of the Kurchatov Institute, which simulated a small-size heterogeneous nuclear reactor. The neutron importance measurements were performed on subcritical and critical assemblies. It is shown that, along with traditionally used activation methods, the developed method can be applied to experimental studies of special features of the power density distribution in critical assemblies and reactors.     

Calculation of the speed of sound in reciprocal systems from the known ion concentrations

A method of calculating the deviations of the speed of sound in a mixed solution containing two types of cations and two types of anions from the speed of sound in pure water by using the known ion concentrations in the solution and the concentration dependences of the speed of sound in binary solutions of the salts entering the mixed solution is proposed. The method is based on the ionic strength rule and the equiprobable ion distribution hypothesis. The calculated values of the deviations of the speed of sound in a mixed solution from the speed of sound in pure water (for solution temperatures of 15 and 25°C) are in fairly good agreement with experimental data. The proposed method is applied for calculating the speed of sound in seawater.     

制作铊玻璃自聚焦透镜的两步离子交换工艺分析

本文分析了用一次离子交换工艺制备的自聚焦透镜的径向折射率分布规律,讨论了所能获得的最佳分布工艺条件。在此基础上提出了两步离子交换的新方法。计算表明用两步离子交换工艺制备的自聚焦透镜的折射率分布可以更接近理想分布.     

On the Regression Model for Generalized Normal Distributions

The traditional linear regression model that assumes normal residuals is applied extensively in engineering and science. However, the normality assumption of the model residuals is often ineffective. This drawback can be overcome by using a generalized normal regression model that assumes a non-normal response. In this paper, we propose regression models based on generalizations of the normal distribution. The proposed regression models can be used effectively in modeling data with a highly skewed response. Furthermore, we study in some details the structural properties of the proposed generalizations of the normal distribution. The maximum likelihood method is used for estimating the parameters of the proposed method. The performance of the maximum likelihood estimators in estimating the distributional parameters is assessed through a small simulation study. Applications to two real datasets are given to illustrate the flexibility and the usefulness of the proposed distributions and their regression models.     

Information hiding based on the optical interference principle

An information hiding method based on the optical interference principle is proposed. In this method, a secret image can be obtained by two light beams' interference. One of the beams is modulated by our assigned host image; and the other is modulated by a noise-like complex distribution, which is regard as the encrypted image. The transmission of the encrypted image can be implemented by hiding it in the host image to prevent the communication from being perceived by unauthorized person. In addition, this method can also realize simultaneous encryption and hiding for two images. A series of numerical simulation results are presented to verify the feasibility of our proposed method.     

同轴放电环形增益区谐振腔镜面的场分布

 对几类环形增益区谐振腔进行了比较，得出利用谐振腔两镜之一的全工作面输出的新型环形增益区谐振腔是适合的谐振腔。提出了一种计算全工作面输出的同轴放电环形增益区谐振腔镜面场分布的方法，利用几何方法对腔镜镜面进行划分,得出了基于菲涅尔-基尔霍夫衍射积分定理的积分区域，并对该区域进行了有限元划分，应用计算机编程计算出了同轴放电环形增益区谐振腔镜面处的光场分布和相位分布。近场分布在环形区中央部分近似地呈高斯分布，且沿径向出现高阶模场分布特点，沿角向无差别。     

Feasibility of a Lidar Utilizing the Glory for Measuring Particle Size of Water Clouds

A new lidar method for measuring water cloud particle size is proposed, and the feasibility of the measurement is discussed. The method utilizes the phenomenon known as the glory which is observed in open air. The proposed lidar consists of a multicolor laser transmitter and two receiver systems looking at the scattering from the target cloud with different scattering angles. Results of the theoretical study show that a system with five laser wavelengths (355, 532, 750, 1064 and 1500 nm) and two receivers located at scattering angles of 180 and 177.5–179 deg is useful for measuring particle size (mode radius of the size distribution) in a range of 4 to 12μm.     

Method for decomposition of Mössbauer spectra of amorphous magnetic materials

A mathematical method for decomposition of symmetrical Mössbauer spectra of amorphous magnetic materials is proposed. The method consists of two procedures: positioning and synthesis by convolution followed by substration of 2,3,4,5-lines beginning from the outside 1,6-lines. The resultant spectrum containing only the 1,6-components makes it easy to find the hyperfine magnetic field distribution in the sample.     

Scaling properties of models of nonequilibrium phenomena

The renormalization group method proposed by 't Hooft is developed for the study of scaling properties of some models of nonequilibrium phenomena. For one of two models studied in detail, the Langevin equation for the random variables contains a bilinear streaming velocity and the stationary probability distribution is Gaussian. The time-dependent Ginzburg-Landau model is chosen as a second example because it illustrates the advantage of the 't Hooft method of not having to specify a particular renormalization point. The scaling exponents for a model of the liquid-gas phase transition are calculated in lowest order to illustrate application of the method to a multifield system.     

Channel-combination method for phase-based |B1+| mapping techniques

PurposeThe aim of this study was to propose a channel combination method for |B₁⁺| mapping methods using phase difference to reconstruct |B₁⁺| map.Theory and methodsPhase-based |B₁⁺| mapping methods commonly consider the phase difference of two scans to measure |B₁⁺|. Multiple receiver coils acquire a number of images and the phase difference at each channel is theoretically the same in the absence of noise. Affected by noise, phase difference is approximately governed by Gaussian distribution. Considering data from all channels as samples, estimation can be achieved by maximum likelihood method. With this method, all phase differences at each channel are combined into one. In this study, the proposed method is applied with Bloch-Siegert shift |B₁⁺| mapping method. Simulations are performed to illustrate the phase difference distribution and demonstrate the feasibility and facility of the proposed method. Phantom and vivo experiments are carried out at 1.5 T scanner equipped with 8-channel receiver coil. In all experiments, the proposed method is compared with weighted averaging (WA) method.ResultsSimulations revealed appropriateness of approximating the distribution of phase difference to Gaussian distribution. Compared with WA method, the proposed method reduces errors of |B₁⁺| calculation. Phantom and vivo experiments provide further validation.ConclusionConsidering phase noise distribution, the proposed method achieves channel combination by finding the estimation from data acquired by multiple receivers coil. The proposed method reduces |B₁⁺| reconstruction errors caused by noise.     

Theoretical prediction of absorbance spectra considering the particle size distribution using Mie theory and their comparison with the experimental UV–Vis spectra of synthesized nanoparticles

Under the frame work of Mie theory, a method has been developed to calculate the absorbance spectra of nanoparticles suspension containing a size distribution. The silver nanoparticles of two different sizes were first synthesized using a chemical reduction method and characterized by UV-Visible spectroscopy, dynamic light scattering, and transmission electron microscopy techniques. A model size-distribution were proposed and fitted to the experimental absorbance spectra using the described method. Better semiqualitative fitting to the experimental spectra were obtained by our proposed model in comparison to those obtained by single particle model.     

Measurement of pressure distribution from PIV experiments

In this study, a non-staggered grid SIMPLER pressure solution algorithm, which is able to produce correct pressure distribution directly if correct velocities are given, is proposed to solve the pressure distribution for PIV experiments. The cell face pseudo velocity required in the pressure equation is approximated by a simple linear average of the adjacent nodal pseudo velocities so that the velocity and pressure are collocated without causing the checkerboard pressure distribution problem. In addition, the proposed pressure solution algorithm has the features that upwind effects of the convective terms are considered, boundary conditions are not required, and the pressure distribution obtained can be used to correct the velocity field so that the continuity equation is satisfied. These features make the present algorithm a superior method to calculate the pressure distribution for PIV experiments. The pressure field solved is realistic and accurate. The proposed pressure equation solver is first calibrated with a two-dimensional cavity flow. It is found that the results are almost identical to the exact solution of the test flow. The algorithm is then applied to analyze a uniform flow past two side-by-side circular cylinders in a soap film channel. With the velocity and pressure distributions successfully measured, the structures of the complex shedding flow patterns are clearly manifested.