Relativistic symmetries with the trigonometric Pschl-Teller potential plus Coulomb-like tensor interaction

The Dirac equation is solved to obtain its approximate bound states for a spin-1/2 particle in the presence of trigonometric Pschl-Teller(tPT) potential including a Coulomb-like tensor interaction with arbitrary spin-orbit quantum number κ using an approximation scheme to substitute the centrifugal terms κ(κ± 1)r-2.In view of spin and pseudo-spin(p-spin) symmetries,the relativistic energy eigenvalues and the corresponding two-component wave functions of a particle moving in the field of attractive and repulsive tPT potentials are obtained using the asymptotic iteration method(AIM).We present numerical results in the absence and presence of tensor coupling A and for various values of spin and p-spin constants and quantum numbers n and κ.The non-relativistic limit is also obtained.     

Determining the radial pair distribution function from X‐ray absorption spectra by use of the Landweber iteration method

The Landweber iteration approach is used to construct the radial pair distribution function (RPDF) from an X‐ray absorption (EXAFS) spectrum. The physical motivation for the presented investigation is the possibility to also reconstruct asymmetric RPDFs from the EXAFS spectra. From the methodical point of view the shell fit analysis in the case of complicated spectra would be much more eased if the RPDF for the first shell(s) are computed precisely and independently. The RPDF, as a solution of the fundamental EXAFS integral equation, is examined for theoretical examples, and a detailed noise analysis is performed. As a real example the EXAFS spectrum of curium(III) hydrate is evaluated in a stable way without supplementary conditions by the proposed iteration, i.e. by a recursive application of the EXAFS kernel.     

A flexible new three-dimensional measurement technique by projected fringe pattern

Aimed at the problems of inferior precision and bad maneuverability for three-dimensional (3D) measurement by projected fringe pattern, a flexible new 3D technique for performing system calibration and measuring was proposed. First, we analyzed the principle of conventional 3D measurement with projected fringe pattern, and pointed out the shortcoming of measurement system. Then, the CCD camera calibration technique is analyzed and we set up the perspective projection model which transforms the computer image coordinate to 3D world coordinate, and we get the coordinate of the CCD camera image lens. Third, the position of projection lens optical center can be obtained using the above model. At last, some experiment results presented show that this technique is more simple and robust in engineering than conventional measurement method.     

带加速因子的线性方程组通用性迭代解法

本文在行处理法的基础上，提出一种带加速因子的线性方程组通用性迭代算法，用几何方法证明了该算法的正确性。并对加速因子进行了简单讨论．     

中子-中子碰撞非线性输运的确定论模拟

从几个方面着手提高确定论方法的计算精度：首先,中子输运计算的相空间离散采用间断有限元处理方法,并使用较大的角度离散数和散射阶数;其次,使用蒙特卡罗直接统计方法得到高精度多群截面;最后,引入收敛于真解的中子-中子碰撞源迭代。数值算例验证表明,经过改进的确定论方法具有良好的稳定性和精度,能以可靠的精度求解考虑中子-中子碰撞过程的非线性问题。     

啁啾脉冲多程放大及其逆问题的研究

利用非线性薛定谔方程和速率方程，研究了啁啾脉冲在增益介质中多程放大的特性. 在此基础上，利用分步傅里叶和迭代法对啁啾脉冲多程放大的逆问题做了研究和模拟，即在给定输出脉冲和多程放大系统参数的情况下，求出相应的输入脉冲波形. 有关结果对啁啾脉冲的多程放大及整形提供有用的理论参考. 关键词： 增益窄化 增益饱和 迭代法 逆问题     

Optimal switching among a finite number of Markov processes

This paper investigates the problem of the optimal switching among a finite number of Markov processes, generalizing some of the author's earlier results for controlled one-dimensional diffusion. Under rather general conditions, it is shown that the optimal discounted cost function is the unique solution of a functional equation. Under more restrictive assumptions, this function is shown to be the unique solution of some quasi-variational inequalities. These assumptions are verified for a large class of control problems. For controlled Markov chains and controlled one-dimensional diffusion, the existence of a stationary optimal policy is established. Finally, a policy iteration method is developed to calculate an optimal stationary policy, if one exists.This research was sponsored by the Air Force Office of Scientific Research (AFSC), United States Air Force, under Contract No. F-49620-79-C-0165.The author would like to thank the referee for bringing Refs. 7, 8, and 9 to his attention.     

用串行迭代算法设计具有长焦深功能的衍射光学元件

提出一种串行迭代算法,将它用于控制波前传播进行衍射光学元件设计.用此算法设计出能使半导体激光束聚焦并具有长焦深功能的衍射光学元件.模拟计算结果表明了此设计方法的有效性.该衍射光学元件已用光刻和离子刻蚀技术制备并进行了光学实验研究,取得了与理论设计一致的实验结果.     

光点定位中的曲面拟合迭代算法

在光电检测系统中,需要对光点信号的位置实现亚像素定位。光纤从一端照明,由光纤另一端出射光点,由面阵CCD摄像机获取光点的灰度分布。基于最小二乘法,采用高斯曲面拟合算法拟合其分布,用高斯拟合函数的极值点作为光点的定位点。实验结果表明,采用多次迭代算法可以提高定位精度;拟合算法的稳定性(标准差)为0.7μm.高斯曲面拟合算法具有重复精度高、稳定性好的特点。     

三维随机粗糙面上导体目标散射的解析-数值混合算法

提出三维导体目标与导体粗糙面复合散射的解析-数值混合迭代算法,推导出三维目标与粗糙面的耦合积分方程,以及粗糙面散射的Kirchhoff近似(KA)计算式.粗糙面的KA解析计算大大降低了粗糙面求解的复杂度,与目标矩量法的混合迭代保证了计算结果的精度,使得三维体-面目标复合散射计算变得可行.由于体-面两者的高阶耦合作用明显减小,保证了该混合迭代算法的收敛性.与镜像Green函数方法的比较表明该混合算法的有效性,并讨论了粗糙面长度选择对计算结果的影响.结合Monte-Carlo方法,数值分析了理想导体Gauss 关键词： 复合散射 Kirchhoff近似 共轭梯度法 互耦迭代