Theory of electronic structure of non-dilute transition metal alloys : NiCu

The density of states for the NiCu alloys system has been calculated as a function of concentration by the supercell method. This method takes into account inter-site interactions in contrast with current effective medium or single site theories. We show that the method is practical for the study of disordered systems. Comparison is made with previous work as well as with photoemission data.     

Determination of parameters of elements and coupling architecture in ensembles of coupled time-delay systems from their time series

We propose a method for reconstructing model differential equations with time delay for ensembles of coupled time-delay systems from their time series. The method has made it possible to recover the parameters of elements of the ensemble as well as the architecture and strength of couplings in ensembles of nonidentical systems with delay with an arbitrary number of unidirectional and bidirectional couplings between them. The effectiveness of the method is demonstrated for chaotic and periodic time series of model equations for ensembles of diffusively coupled systems with time delay in the presence of noise, as well as experimental time series for resistively coupled radiotechnical oscillators with delayed feedback.     

LS解法和Fisher方程行波系统的定性分析

提出了求解非线性发展方程的新方法——LS解法.LS解法是基于(G’/G)展开法和扩展的双曲正切函数展开法.并引入了Poincar定性理论的思想,然后以Fisher方程为例进行了试验.通过定性分析首先获得了Fisher方程行波系统积分曲线的性质,然后解得了Fisher方程作为耗散系统时单调减少的波前解和作为扩张系统时单调递增的波前解.一些试验结果与Ablowitz所得结果一致.也得到了Fisher方程作为扩张系统时的新结果.LS解法是在定性理论指导下,在已获知解曲线性质的情况下进行精确求解的,求解目标明确.LS解法揭示了线性系统也可以用作辅助方程来求解非线性系统.     

Application of the method of moments to three-body scattering

The method of moments is investigated as a possible iterative method of solution of the Faddeev equations. The method is shown to converge rapidly to the three-body wave function for the case of zero energy neutrons scattering off deuterium. It is suggested that the method should be appropriate for the treatment of three-body break-up with separable or local potentials.     

The Estabrook-Wahlquist method with examples of application

The Estabrook-Wahlquist method can be used as a semidirect method for starting with a given nonlinear partial differential equation, and if it would happen to be exactly solvable, allowing one to find the required method of solution. How this may be done is illustrated with several examples, which demosntrate the power of the method, as well as its weaknesses.     

Complex wavefront reconstruction of digital in-line holography with a spatial radial carrier

We propose a method for reconstructing a complex wavefront from a single-shot in-line digital hologram with a spatial radial carrier. In the proposed method, the spatial radial carrier is generated by a point source that is located in front of an image sensor, as close as possible to the sensor with the condition that the Nyquist limit is not exceeded. A signal processing method employed for elimination of the zeroth-order and conjugate wave components is presented. Computer simulations and optical experiments are performed to verify the proposed method.     

基于局部基本解法的静电场仿真分析

将局部基本解方法应用于静电场问题的模拟与分析。局部基本解方法是利用控制方程的基本解,基于局部理论和移动最小二乘原理提出的一种无网格算法。相比于有限元和有限差分等传统网格类方法,该方法仅需离散节点,避免了复杂的网格剖分难题。作为一种半解析数值技术,物理问题的基本解被作为插值基函数建立数值离散模型,从而保证了算法的较高精度。此外,与具有全局离散格式的无网格方法相比,局部基本解法更适用于高维复杂几何和大尺度模拟。二维和三维数值试验表明,该方法具有实施方便灵活,计算精度高和计算速度快等优势。为静电场仿真研究开辟新的途径,拓展了局部基本解方法的应用领域。     

Discrete time transfer matrix method for dynamics of multibody system with real-time control

By taking the control and feedback parameters into account in state vectors, defining new state vectors and deducing new transfer equations and transfer matrices for actuator, controlled element and feedback element, a new method named as the discrete time transfer matrix method for controlled multibody system (CMS) is developed to study dynamics of CMS with real-time control in this paper. This method does not need the global dynamics equations of system. It has the modeling flexibility, low order of system matrix, high computational efficiency, and is efficient for general CMS. Compared with the ordinary dynamics methods, the proposed method has more advantages for dynamics design and real-time control of a complex CMS. Adopting the PID adaptive controller and modal velocity feedback control on PZT actuators, and applying the proposed method and ordinary dynamics method, respectively, the tip trajectory tracking for a flexible manipulator is carried out. Formulations of the method as well as numerical simulation are given to validate the proposed method.     

三正辛胺棉富集分离原子吸收光谱法测定金

论述了三正辛胺棉的制备及吸附金的条件和解脱方法。采用火焰原子吸收法进行测定。方法的测定范围为0.2-40g/t，相对标准偏差为2.3%，将该法用于制定黄铜矿中的金，其结果与传统的泡沫塑料富集-硫脲解脱原子吸收法测定结果一致，而本法分离效果好，测定速度快，操作简便。     

水溶性维生素核磁共振定量分析的研究

药物核磁共振定量分析法,操作简便,样品用量少,定性鉴定和定量分析同步完成,无须被测物的标准对照品,只须一般内标即可完成定量分析,分析速度和精密度可以达到或接近HPLC法. 作为药物的水溶性维生素,中国药典中还没有核磁共振定量分析方法. 实验数据表明,用核磁共振定量分析法与中国药典中提供的水溶性维生素分析法的分析结果十分吻合,可以达到药品市场监管的要求.     

Numerical reconstruction stability of fiber Bragg gratings

Traditional algorithms for solving the inverse scattering problem for a fiber Bragg grating are described, and a new numerical method for this problem is developed. The method is based on the fast inversion of a matrix using its Toeplitz symmetry and on a special “inner-bordering” procedure. It is shown that the method is equally efficient as the well-known discrete layer peeling method but exceeds the latter in accuracy, especially for high-reflectance gratings. The stability of the proposed method with respect to initial data errors is demonstrated.     

Extraction current transients: new method of study of charge transport in microcrystalline silicon

The transport properties of microcrystalline silicon, namely, mobility and conductivity, are investigated by a new method, for which the simple theory as well as numerical modeling is presented. The basic idea of the new method is verified on amorphous hydrogenated silicon by comparison with the widely used time-of-flight method. Contrary to time of flight, the new method can be used even for relatively conductive materials. Preliminary results on microcrystalline silicon clearly indicate the critical role of amorphouslike tissue in transport in microcrystalline silicon.     

Determination of Spatial Distribution of Plasma Electrons by Multibeam FIR Interferometry

The spatial distribution of plasma electrons in the ISX-B Tokamak has been determined by Abel-inverting vertical integral data from far infrared (FIR) laser-phase shift measurements. The calculational method for performing the Abel inversion is discussed and the results of the inversion of several sets of data are compared with Thomson scattering measurements of the pointwise electron density, and with the 2-mm interferometer measurement of the horizontal-midplane line-integral electron density. The inversion method used is essentially that described by Demas et al. This method is an extension of the method described by Yasutomo et al. The main difference is that the inversion method used here can treat plasmas with any outer boundary shape as long as the radius of the surface is single valued. In this regard it is more general than the inversion method of Wetzer, which is restricted to using an elliptical outer-plasma boundary.     

Identification of multiple cracks in a beam using natural frequencies

A simple method to identify multiple cracks in a beam is presented. The cracks are modeled as rotational springs and the forward problem is solved using the finite element method. The inverse problem is solved iteratively for the locations and sizes of the cracks using the Newton-Raphson method. Numerical examples are provided for the identification of triple cracks in a cantilever beam as well as double cracks. The detected crack locations and sizes are in excellent agreement with the actual ones.     

等截面消声管道传递损失计算的简化方法

本文提出了等截面消声管道传递损失计算的简化方法,方法利用消声管道截面形式的特点,将三维声学计算问题简化为二维问题,消声管道的传递损失可以表示为与轴向波数有关的表达式,轴向波数可以通过计算截面的特征值得到。对于规则截面结构,使用传递矩阵法计算特征值;复杂非规则截面的特征值使用二维有限元方法得到,进而可以计算消声管道的传递损失。仿真结果与文献中的数值方法及实验值在较宽的频率范围内吻合较好,说明了方法的正确性,此外,该方法可以考虑均匀流对消声管道声学性能的影响。方法的计算效率高,对消声管道的前期优化设计具有实际意义。     

Design of Grazing-Incidence Broad-Band Multilayers for Hard X-Ray Reflectors

A new method of designing x-ray supermirrors with broad angular or energy response for use as coatings in x-ray optics is presented. The design is based on an analytical method with oversimplified analytical and semi-empirical formulae, and an extensive numerical method is used in the optimization design. A better initial multilayer is obtained with the former method and optimized with the latter method. In the optimization, a good design is achieved with much less computing time. In addition, the saturation effect due to the interfacial roughness in multilayer also emerges in the design of x-ray supermirrors with definite performances. The reflectivity of C/W x-ray supermirrors as a function of photon energy at the fixed grazing incident angle 0.5°is presented.     

The realization of Abel's inversion in the case of discharge with undetermined radius

A new method for the determination of the local plasma emissivity on the basis of measuring of the radiation intensity is presented. The method is related to the axial symmetric discharges with undefined radius (free burning arcs, etc.). In this method, the experimental profile of the radiative intensity is approximated by the linear combination of Gaussian functions, while the requested plasma emissivity is obtained in a similar oblique. The essence of the presented method lies in the procedure of determination of the coefficients in this linear combinations, as well as the parameters by which the exponents of Gaussian functions are expressed. The method was tested on a large number of examples which are related to almost all practically important cases of the profiles of local plasma emissivity. It was shown that the method works with high precision, which makes it a certain tool for an operative laboratorial application.     

The Proton-Resonance-Frequency-Shift Method Compared with Molecular Diffusion for Quantitative Measurement of Two-Dimensional Time-Dependent Temperature Distribution in a Phantom

Noninvasive thermometry methods with magnetic resonance imaging usually explore the temperature dependence of the molecular diffusion coefficient of water. A method based on the temperature dependence of the proton resonance frequency is proposed in this study and compared with the diffusion method. The comparison was made with a gel phantom with muscle characteristics and for a voxel size of 0.8 × 0.8 × 10 mm³. The root-mean-square deviation of the temperature images obtained with simulations of the thermal process is between 0.1 and 0.15°C for the proton-resonance-shift-based method with an acquisition time of 1 minute and 0.9-1°C for the diffusion-based method with an acquisition time of 4.5 minutes. Unfortunately, the proton-resonance-shift method is very sensitive to the drift of the external magnetic field and therefore a method of external references was proposed to correct for this drift. The method proves to be adequate as long as the thermal be of interest do not take more than 1 hour.     

基于棱镜扫描法的太阳光谱仪光谱定标

为了标定扫描式棱镜太阳光谱仪的棱镜不同转动角度对应的中心波长和光谱带宽,利用了一种棱镜扫描方法对太阳光谱仪的光谱响应函数进行测量。该方法使用固定的单色光波长,控制棱镜转动实现单色光的像在探测器位置扫描,并通过坐标映射得到响应位置的光谱响应函数。文中根据光谱响应函数的定义,推导出棱镜扫描法与单色仪波长扫描方法波长定标原理上的等效性。之后分别以532 nm固体激光器和632.8 nm氦氖激光器为光源,使用棱镜扫描法测量太阳光谱仪对应波长位置的光谱响应函数,并以单色仪波长扫描法实验作为对比。实验结果表明,对于扫描式棱镜太阳光谱仪,棱镜扫描法测量的中心波长分别为531.86和632.67 nm,其准确度优于单色仪波长扫描法测得的531.39和631.97 nm。由于不受单色仪性能的限制,前者测量的光谱带宽值也优于后者。最后以汞灯为光源使用棱镜扫描法对太阳光谱仪进行了光谱定标实验,实现了特征光谱定标法结合棱镜扫描法对中心波长及光谱带宽的标定。该方法同样可以应用于扫描式光栅光谱仪以及单色仪的光谱定标。     

Quantitative MRI of uterine leiomyomas during triptorelin treatment: Reproducibility of volume assessment and predictability of treatment response

Magnetic resonance (MR) imaging is increasingly applied for the quantitative evaluation of uterine leiomyomas. MR is thought to be more accurate in comparison to ultrasound (US) techniques. MR signal intensity (SI) may prove to be predictive of myoma response to GnRH agonist treatment. This study aimed to evaluate the precision of uterine volume assessment by a parallel planimetric MR method and the accuracy of the ellipsoid formula based calculations from MR and US images. It was also attempted to analyze the precision of MR leiomyoma volume measurements and examine the relation between pretreatment myoma SI patterns and the response to agonist therapy. Twenty-seven women with a myomatous uterus were scanned three times during GnRH agonist treatment for 6 months. T₁- and T₂-weighted, as well as T₁ contrast-enhanced sequences of the uterus were obtained in the transverse and sagittal plane. Abdominal US of the uterus was performed with a conventional sector scanner. By the use of a software system for analysis of three-dimensional images obtained by MR, uterine volume was measured by a parallel planimetric method (MR-ROI) as well as the use of the ellipsoid formula (MR-ELL). Myoma volume was assessed by the MR-ROI method. SI of the myomas was estimated from selected tissue samples as well as from the integral myoma region of interest. By abdominal US, volume was assessed by the ellipsoid equation (US-ELL). Within- and between-observer and method reliability (Rw/Rb) was calculated from mean squares obtained by analysis of variance. For uterine volume assessment, reliability between observers and between methods when the MR-ROI and MR-ELL methods were analyzed was excellent. For the US-ELL measurements, the between-observer reliability was limited. Moreover, the reliability of the US-ELL was low when the MR-ROI method was used as the standard. Myoma volume assessment with the MR-ROI method showed high between-observer and between-method agreement. The myoma/fat SI ratio and the mean SI coefficient of variation failed to show a correlation with the degree of response to triptorelin treatment of individual myomas. In MR uterine volume assessment the MR-ELL method is very accurate compared with the more complicated MR-ROI method. The agreement between MR and US is limited. Therefore, the ellipsoid method on MR images is to be regarded as the method of choice for quantitative assessment of uterine volume response to hormonal treatment. Myoma SI patterns were shown to be of no value in the response prediction of myomas to treatment with GnRH agonists.