Homotopy analysis method for solving Abel differential equation of fractional order

In this study, the homotopy analysis method is used for solving the Abel differential equation with fractional order within the Caputo sense. Stabilityand convergence of the proposed approach is investigated. The numerical results demonstrate that the homotopy analysis method is accurate and readily implemented.     

Simultaneous measurement of the phase noise on all optical modes of a mode-locked laser

We propose and experimentally demonstrate a method to simultaneously measure the relative phase noise of all modes of two mode-locked lasers. The method is based on the numerical analysis of a beat note of two lasers with slightly different pulse repetition rates. We carefully analyze and experimentally demonstrate the potential of this method. Compared to other methods, it has the unique advantage that it provides access to correlations of the phases of different modes. PACS 42.60.Mi; 42.60.Fc     

Numerical method for two dimensional fractional reaction subdiffusion equation

In this paper, a new numerical algorithm for solving two dimensional fractional reaction subdiffusion equation is proposed. The stability and convergency of this method are investigated by the Fourier analysis. Theoretical analysis and numerical experiment demonstrate that the proposed method is effective for solving the two dimensional fractional reaction subdiffusion equation.     

Flexural free vibrations of rectangular plates with complex support conditions

The spline finite strip method of analysis is introduced and applied to the study of flexural free vibration response of thin rectangular plates with complex support conditions. Examples are given to demonstrate the versatility, accuracy and efficiency of the method.     

基于压缩感知理论的非线性γ谱分析方法

γ谱分析是一种重要的放射性核素定量分析方法. 弱峰的检测和重叠峰的分解是γ 谱分析中的难点. 为了解决这两个问题, 基于压缩感知理论, 提出了一种新的γ 谱分析方法. 这一方法从谱仪对γ 谱调制的物理机理出发, 通过数学建模, 将γ 谱分析转化为一个以真实γ 谱为解的求逆问题, 并在压缩感知理论框架下, 运用γ 谱特征峰的稀疏性, 进行逆问题的求解, 直接获得γ 谱的估计结果. 数值模拟结果和蒙特卡洛模拟结果表明: 该方法能在降低统计涨落的同时, 有效减小谱仪调制带来的能谱展宽, 从而提高γ 谱分析精度. 关键词： γ谱分析')" href="#">γ谱分析 压缩感知 非线性 逆问题     

Phase shift analysis of modulated photocurrent: A new approach to determining the energy scale

One of the major problems of the method of phase shift analysis of modulated photocurrent for studying the density of states in the energy gap of amorphous semiconductors has been the determination of the energy scale corresponding to this DOS profile. This study presents a new way of dealing with this problem. This new method is especially useful in the case where the DOS profile lacks a characteristic peak. A computer analysis is used to confirm the validity of this method and to demonstrate how it can be used.     

油中金属元素的能量色散X射线荧光分析——Ⅱ.油分析中水标样的应用

油中微量金属元素的分析在工业、环境、石油、地化等许多领域中都具有重要的意义。在上文“油中金属元素的能量色散X射线荧光分析Ⅰ”中,我们介绍了一种用氧化镁吸收油然后进行热分解的制样方法,采用能量色散X荧光分析技术进行微量元素的测定。该方法避免了复杂的基体效应校正问题,得到了满意的浓度与荧光强度的线性关系。但在油的定量分析中,配制油的系列标准样品是个困难问题。在国内,目前尚无系列有机金属标准可利用,国际上公认的由美国国家标     

Spatial phase stepping method of fringe-pattern analysis

A new method of fringe-pattern analysis by spatial phase stepping (SPS) is presented. SPS combines the computational simplicity of phase stepping with the single image analysis capability of the Fourier transform method. The technique works by subdividing a linearised fringe pattern into three component images, from which the phase is calculated by a three phase step algorithm. A computer simulation has been undertaken to demonstrate the theory and enable an analysis of systematic errors. In addition, two experimental transonic flow fields are solved by SPS and a comparison is made with results derived using the Fourier transform method.     

Toward a New Algorithm for Nonlinear Fractional Differential Equations

This paper is concerned with the development of an efficient algorithm for the analytic solutions of nonlinear fractional differential equations. The proposed algorithm Laplace homotopy analysis method (LHAM) is a combined form of the Laplace transform method with the homotopy analysis method. The biggest advantage the LHAM has over the existing standard analytical techniques is that it overcomes the difficulty arising in calculating complicated terms. Moreover, the solution procedure is easier, more effective and straightforward. Numerical examples are examined to demonstrate the accuracy and efficiency of the proposed algorithm.     

Single-period Multi-Phase-Shifted Fiber Bragg Grating as Dispersion Compensator

We theoretically demonstrate that a properly designed single-period multi-phase-shifted fiber Bragg grating can be used as a dispersion compensator. An overlap-step-scan exposure method for this new device is investigated and a tolerance analysis is given.     

Statistical reconstruction of optical quantum states based on mutually complementary quadrature quantum measurements

We describe a new method for reconstructing the quantum state of the electromagnetic field from the results of mutually complementary optical quadrature measurements. This method is based on the root approach and displaces squeezed Fock states are used as the basis. Theoretical analysis and numerical experiments demonstrate the considerable advantage of the developed tools over those described in the literature.     

Equivalence of velocity-level and acceleration-level redundancy-resolution of manipulators

The equivalence of velocity-level and acceleration-level redundancy resolution of robot manipulators is investigated in this Letter. Theoretical analysis based on gradient-descent method and computer simulations based on PUMA560 robot manipulator both demonstrate the equivalence of redundancy-resolution schemes at different levels.     

Flame-fluorescence detection of Mg,Ni, and Pb with a frequency-doubled dye laser as excitation source

The determination of traces of Mg, Ni, and Pb by atomic fluorescence spectrometry using frequency doubled dye laser emission for excitation is reported. Low detection limits and long linear analytical working curves demonstrate the qualification of this method for quantitative analysis.     

空间载频条纹相位分析法中的相位不确定性

分析了单频、双频空间载频光学条纹相位分析技术中的相位不确定性问题,提出采用两频率之比为无理数的双频载频条纹,相位可完全确定,并提出了基于两频率之比为无理数的空间载频条纹相位确定算法,给出了实验结果。     

An Entropy-Based Tool to Help the Interpretation of Common-Factor Spaces in Factor Analysis

This paper proposes a method for deriving interpretable common factors based on canonical correlation analysis applied to the vectors of common factors and manifest variables in the factor analysis model. First, an entropy-based method for measuring factor contributions is reviewed. Second, the entropy-based contribution measure of the common-factor vector is decomposed into those of canonical common factors, and it is also shown that the importance order of factors is that of their canonical correlation coefficients. Third, the method is applied to derive interpretable common factors. Numerical examples are provided to demonstrate the usefulness of the present approach.     

Time domain bidirectional beam propagation method for second harmonic generation in multilayers

We propose a time domain bidirectional beam propagation method based on scattering operators for wide band pulse propagation in nonlinear multilayers. The reported numerical examples demonstrate the applicability of the algorithm for the analysis of temporal effects related to the process of second harmonic generation.     

Method of generating orthoscopic elemental image array from sparse camera array

We propose a method of generating orthoscopic elemental image array from a sparse camera array. A parallax image array obtained by a sparse camera array provides different perspectives of a real threedimensional (3D) scene, and has all the information the elemental image array needs. In-depth analysis of the generation method and the relationships between the sparse camera array and the elemental image array are presented. The experimental results demonstrate the correctness of the proposed method.     

Computer-generated space-variant polarization elements with subwavelength metal stripes

A novel method of performing two-dimensional space-variant polarization operations is presented. The method is based on determining the local direction and period of subwavelength metal-stripe gratings by use of vectorial optics to obtain any desired continuous polarization change. We demonstrate our approach with specific computer-generated space-variant polarization elements for laser radiation at 10.6mum. The polarization properties are verified with complete space-variant polarization analysis and measurement.     

Surface-Enhanced Raman Scattering (SERS) Analysis of Urea Trace in Urine,Fingerprint, and Tear Samples

The detection of molecular biomarkers of various diseases in biologic fluids is of paramount interest in the field of biomedicine. In this work we demonstrate a direct and reliable identification of urea metabolic by-product in two particular biological fluids, namely, tears and fingerprints, by surface-enhanced Raman scattering (SERS) using gold colloidal particulate films as active plasmonic substrates. The SERS analysis of urea in tears and fingerprint samples produced in the secretions of the sebaceous and eccrine glands, respectively, was directly correlated with SERS analysis of urea in urine samples collected from the same volunteer. We demonstrate a high level of sensitivity and reliability, which would allow this method to be extended for monitoring other biomarkers present in these special biologic fluids as proteins and metabolites. Additionally, the SERS analysis is far less invasive than any other conventional analysis, such as the blood urea nitrogen test, which requires blood samples.     

二维剪切波面重建的有限元模型

提出了解析二维剪切波面的有限元方法，建立了二维剪切波面重建的有限元模型。计算模拟结果表明，有限元法解析二维剪切波面精度高，对剪切波面具有平均作用，对测量误差不敏感，可适用于实时测量。