An application of a transcorrelated procedure to the calculation of the energy of the hydrogen molecule

The ground-state energy of the hydrogen molecule is calculated using both the standard variational method and a new transcorrelated method. The value obtained with the new method compares favourably with that obtained by the standard method. If the method used in this paper can be extended to more complicated systems, it is expected that it will enable more accurate energies to be calculated for these systems than is possible using the standard variational method.     

Equivalence of the method of the kinetic equation and the fluctuating-frequency method in the theory of the broadening of spectral lines

A new expression for the Stark profiles of spectral lines in plasma has been obtained by the method of the kinetic equation taking into account the dynamics of the plasma microfield. The result represents a dynamic line profile in the form of simple functionals of a static profile. The relation of the new solution with the known fluctuating-frequency method has been analyzed. It has been shown that this method is a discrete analog of the method of the kinetic equation and passes to the latter method in the limit of the continuous fluctuations. Simple formulas (4), (5), and (21) for dynamic line profiles provide ultrafast calculations of the profiles of spectral lines taking into account the dynamics of the plasma microfield.     

超分辨率图像重构技术在航天器相对位置测量中的应用

以两颗航天器间相对位置参数测量为研究对象,确定了基于单目计算机视觉及目标特征的测量方案,提出了基于超分辩率图像重构技术的航天器间相对位置的高精度测量方法。分析讨论了图像传感器的观察模型、图像传感器及光学测量系统的点扩散函数、配准方法、重构原理及方法。利用地面试验验证了该方法的正确性。试验结果表明:该方法与基于单帧图像及目标特征的方法、基于插值的方法相比较,在测量精度及稳定性等方面都有了较大的提高;与基于单帧图像及目标特征的方法相结合,不仅可以保证在不同作用距离上相对位置的高精度测量,而且具有较高的测量稳定性和可靠性。     

On the nature of the generalized WKB method

The nature and the conditions of applicability of the generalized WKB method (the Petrashen-Miller-Good method) are investigated. It is shown that the generalized WKB method is a new approximate method for quantum mechanics, differing essentially from the WKB method.In conclusion I wish to express my sincere appreciation to Academicians V. A. Fok and M. I. Petrashen for their interest in this work and their valuable advice in the process of its completion.     

高精度测量孔径光阑面积方法概述

一些辐射学和光度学的测量是以高精度测量精密光阑面积为基础的, 因此高精度测量孔径光阑的面积有着至关重要的意义. 目前高精度测量孔径光阑面积主要有以下两类方法: 接触法与非接触法, 几何法与有效面积法.本文首先对各种方法进行简单介绍, 并对非接触法、 几何法和有效面积法进行重点阐述.最后通过对比不同方法的测量精度、 实现难易程度以及测量设备成本情况, 得出结论: 几何法和有效面积法是非常有前景的.然而要进一步提高孔径光阑面积的测量精度, 稳定的激光光源、精准的移动平台是必不可少的. 关键词： 高精度测量 测量方法 光阑面积     

Correlation method of measuring the frequency shifts of the sound field maxima caused by perturbations of the oceanic medium

The correlation method of measuring the frequency shifts of the sound field maxima caused by the nonstationary oceanic medium is considered. The method is based on tracing the frequency shift of the maximum that is observed in the cross-correlation function of signal spectra received at different instants of time. The relation between the correlation method and the method based on measuring the frequency shifts of the maxima observed in the interference pattern of the source is analyzed. The sensitivity of the correlation method is estimated.     

On the question of the error in the partial capacitance method

An analytical method is proposed for calculating the capacitance of a planar capacitor constructed in the form of a two-layer structure. The method is used to calculate the capacitance of a planar capacitor containing a ferroelectric film. A number of calculations were performed to check the accuracy of the partial capacitance method. The calculations made it possible to determine the limits of accuracy of the partial capacitance method for a permissible calculational error of ±3%. Zh. Tekh. Fiz. 69, 8–13 (April 1999)     

Application of the imaginary time step method to the solution of the static Hartree-Fock problem

A method of solution of the static Hartree-Fock problem is proposed. The method, based upon the extension of the method of solution of the time-dependent Hartree-Fock problem to imaginary time, promises to be more efficient, and applicable to more complex systems than previously proposed numerical methods.     

机器人视觉的“手-眼”关系快速标定算法

论述了机器人视觉传感器的内外参数标定的基本原理。设计了一种快速标定机器人"手 眼关系"的标定方法。该方法不需要外加辅助的坐标测量仪器,可一次性标定出视觉传感器的内外参数及机器人的"手 眼关系"。实验证明,该方法具有算法简便快捷和标定精度较高的特点。     

The reduction of the sorting bias in the eigenvalues of the diffusion tensor.

One of the most intrinsic quantities when measuring the diffusion properties of a system is the set of principal diffusivities, which represents diffusion along the fibre axes. System noise is a well-known cause of systematic sorting bias when closely spaced diffusivities are ordered according to their magnitude and leads to their inaccurate estimation. This paper describes a new method for the ordering of the principal diffusivities in which local fibre directional coherence was used as a basis for sorting. The method was applied and tested in computer simulations and experimental data acquired in an isotropic water phantom and healthy human brain. Our results demonstrate that this method leads to significant reduction in the sorting bias in comparison to other techniques and thus a more accurate estimation of the eigenvalues. The method is advantageous over other proposed alternatives to the conventional magnitude sorting method because it is not reliant on a large region-of-interest averaging scheme.     

Alternative approaches to the construction of the Poincare-invariant spin operators of the Dirac particles

At present a number of methods of constructing the Poincare-invariant spin operators for relativistic particles with half-integer spin in the one-particle theory are well known. The method of odd operator constructing, the Lorentz method of bilinear covariant form transformation, and the method with the Foldy–Wouthuysen representation belong to them. New approaches to the construction of spin operators are developed in the present work, namely, a method of separating space-like component directly from the spin matrices of bilinear covariant forms, including the method of multiplication of the covariant Hamiltonian of the Dirac equation by these matrices. By this means we succeeded in constructing the Poincare-invariant spin operators by simpler and mathematically faultless methods. Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Fizika, No. 11, pp. 10–15, November, 2008.     

Inverse problem of the wave equation and the Schwinger approximation

A new method of profile inversion for acoustic waves propagating in a medium with spherical inhomogeneity based on the Schwinger variational method is presented. The wave equation of interest is transformed into a Schrodinger equation, so that the Born approximation and the new method could also be applied at high frequencies. It is shown that the new method is stable and is more accurate than the Born approximation. To illustrate the method, an exactly solvable analytical example is presented. Also numerical examples using synthetic data, with and without additive noise, are given and the corresponding inversion results and the stability of the method are studied.     

辛时域有限差分算法研究等离子体光子晶体透射系数

相较于传统的时域有限差分算法,辛时域有限差分算法具有高准确度性和低色散性.传统的时域有限差分算法的计算准确度较低,数值色散误差较大,并且破坏了麦克斯韦方程的辛结构,从而导致其稳定性较差.然而辛时域有限差分算法可以克服这些缺点,从而保证了整个仿真计算的准确性和稳定性.本文基于辛时域有限差分算法,对等离子体光子晶体的带隙特性,透射系数等进行了研究,并与传统的时域有限差分算法进行了对比,验证了辛时域有限差分算法的优势和可行性.     

休伦法在观测溶液浓度分布中的应用

休伦法 (Schlierenmethod)在观察物质流的折射率梯度方面的应用已有相当长的历史。对该方法进行改进 ,将其引入晶体生长的监控领域。介绍了该方法的原理及测量公式 ,并进行了实验观察 ,取得了比较理想的定性结果。结果表明 ,用这一方法可以很方便地观测透明物质或溶液中的折射率梯度或浓度的分布情况 ,特别是在晶体生长检测领域中有着广泛的应用前景。     

An angular singularity-free method for the dynamics of the rovibrational motion of diatomic molecules

An angular singularity-free method for the dynamics of the rovibrational motion of diatomic molecules has been proposed. The present method is based on a formulation that the orientation of a diatomic molecule is expressed by the Cartesian coordinates of the unit vector parallel to the molecular axis. In this light, the present method can be considered as a modification of a method proposed for the rigid rotational motion to the rovibrational motion. Illustrations of the present method have been performed for the classical dynamics of the rovibrational motion of a diatomic molecule, and for the semiclassical dynamics of the collision between an atom and a diatomic molecule, including comparisons with other conventional methods. It is concluded that the present method is free from angular singularity, and that the present method is superior to other conventional methods in view of computational efficiency.     

利用垂直邻边入射法测量三棱镜的折射率简

提出垂直邻边入射法测量折射率。从理论上分析了该方法的测量公式,通过实验测定了不同波长的光对于样品的折射率。与最小偏向角法相比,垂直邻边入射法不需要确定临界位置,在实际研究中更容易施行。     

A study of the Millepede alignment algorithm on the Monte Carlo model of the HERA-B outer tracker

In this paper a method of internal alignment of HERA-B OTR PC chambers is discussed. The method is based on a simultaneous fit of the track and alignment parameters, using Millepede matrix reduction and singular value decomposition. Software implementing this idea has been developed, and the method has been studied on Monte Carlo models with different levels of simulation. A generalization of this method for the case of the nonlinear track model has been proposed. The text was submitted by the authors in English.     

数控传声器阵列反卷积法对飞机噪音的应用与实验研究

本文主要讨论传声器阵列反卷积法对于飞机发动机噪音测量的实际应用及反卷积法对于飞机过顶测噪的数值模拟。传统"波束成型法"的成像是点源与点分布函数卷积的结果,只有在满足瑞利限制的前提下可以分辨多个相距较近的声源。本文介绍了一种简称反卷积法的传声器阵列新方法,它是将原有的Beamforming结果作为已知条件,从中提取有用的声源信息,去除掉旁瓣的干扰,使得处理出来的声源幅值与位置更加准确。观察运动声源会产生多普勒效应,特别是在频域中处理声信号时会使发声源产生频率偏移,因此在反卷积法使用前引入平均多普勒频移因子,它使得运用反卷积法在频域中预测飞机进场噪音成为可能。     

蒙特卡洛法计算空间辐射制冷器耦合因子的研究

为了研究蒙特卡洛法计算空间辐射制冷器耦合因子 ,文中通过计算平面 W型空间辐射制冷器二级冷块耦合因子 ,介绍了计算流程 ,并以积分分布概率为基础研究了相关核心算法。计算结果表明 ,采用以积分分布概率为基础的核心算法 ,蒙特卡洛法替代传统耦合因子计算方法 ,具有计算结果精度高的优点 ,达到了实用要求     

Estimation of the direction of auditory events in the median plane

An instrumental method based on parametrically described spectral cues is proposed to estimate the direction of auditory events in the median plane. In contrast to a previous method where the shapes of two spectra are compared, the current method is based on known psychoacoustic features of the auditory system. The algorithm is described and the results of verification experiments are reported.