环的优越扩张与凝聚维数

设Ｓ和Ｒ是环．本文证明了若下述条件之一成立，则Ｓ和Ｒ具有相同的凝聚维数：（１）Ｓ是Ｒ的优越扩张；（２）Ｓ和ＭＭｏｒｉｔａ等价．作为上述结果的推论，我们证明了环Ｒ和下述环类具有相同的凝聚维数：（ｉ）Ｒ上的矩阵环Ｍｎ（Ｒ）；（ｉ）Ｒ和有限群Ｇ（要求｜Ｇ｜－１∈Ｒ）的斜群环；（ｉｉ）Ｓｍａｓｈ积Ｒ＃Ｇ＊（要求Ｇ是有限群且｜Ｇ｜－１∈Ｒ，Ｒ是Ｇ分次环）     

非相干光作用下的Ce：BaTiO3自泵浦相位共轭镜特性

地Ｃｅ：ＢａＴｉＯ３晶体的自泵浦相位共竟然非相干光作用下自泵浦相位共轭反射率增强的特性进行了研究。实验是在Ｈｅ－Ｎｅ激光产生稳态自泵浦相位共轭输出后，用非相干光平行ｃ轴照射来获得这一增强特性的，当水平移动非相干光入射位置，发现有两个区域非相干光作用能使相位共轭反射率增加，本文对此进行了相应的分析和讨论。     

Algebra with polynomial commutation relations for the Zeeman effect in the Coulomb-Dirac field

We consider a model of particle motion in the field of an electromagnetic monopole (in the Coulomb-Dirac field) perturbed by homogeneous and inhomogeneous electric fields. After quantum averaging, we obtain an integrable system whose Hamiltonian can be expressed in terms of the generators of an algebra with polynomial commutation relations. We construct the irreducible representations of this algebra and its hypergeometric coherent states. We use these states to represent the eigenfunctions of the original problem in terms of the solutions of the model ordinary differential equation. We also present the asymptotic approximations of the eigenvalues in the leading term of the perturbation theory, where the degeneration of the spectrum is removed completely.Translated from Teoreticheskaya i Matematicheskaya Fizika, Vol. 142, No. 1, pp. 127–147, January, 2005.     

等束宽超短脉冲光束的远场特性

利用角谱法和复解析信号法推导出了等束宽超短高斯脉冲光束在远场的解析传输公式及其傅里叶谱.研究了若干个甚至一个光周期数的等束宽超短高斯脉冲光束的远场特性，并与等衍射长度超短高斯脉冲光束作了比较.研究表明，等束宽超短高斯脉冲光束在远场存在脉冲展宽、光谱变窄、离轴光谱红移、轴上光谱蓝移等特性. 关键词： 角谱法 复解析信号法 等束宽超短高斯脉冲光束     

合肥光源逐圈束流位置监测系统中的定时系统

定时系统是合肥光源逐圈束流位置监测和相空间测量系统中的重要组成部分，其主要目的是为数据采集卡提供与环内电子束团同步的时钟信号。该系统包含高速ECL时钟成形、分频电路、程控延时电路、控制模块等部分。可实现延时范围0～220ns，最小延时步距0.5ns，调整精度0.1ns，时钟抖动小于200ps。系统控制软件基于客户/服务器结构，操作灵活、方便。     

Interferometric monitoring of single-mode operation of a tunable injection laser

We propose a technique for rapid monitoring of single-mode operation of a tunable injection laser, based on analysis of the fine structure of the power-current characteristic obtained with self-heterodyning, using a Michelson interferometer. The technique makes it possible to determine the range for single-mode lasing and mode tuning as well as the presence of spurious optical feedback, and to estimate the coherence length. __________ Translated from Zhurnal Prikladnoi Spektroskopii, Vol. 73, No. 1, pp. 119–123, January–February, 2006.     

用于静态和动态平面内位移测量的剪切束电子斑纹图干涉术的相移和载波技术

报道了一种新颖的用于平面内位移测量的相移和载波技术。在剪切束电子斑纹图干涉度量术中，照明光束由棱镜分为两个波前，棱镜的侧面移动将引入相移。在棱镜后加一小角光楔，则光楔的转动产生载波条纹。棱镜或光楔的转动可由机械或电学机构精密控制。形变信息由数字图像处理算法，相位迭代和傅里叶变换法给出。文中介绍了理论及其实验演示的结果     

Analytical bending solutions of elastica with one end held while the other end portion slides on a friction support

Summary Treated herein is an elastica under a point load. One end of the elastica is fully restrained against translation, and elastically restrained against rotation, while the other end portion is allowed to slide over a friction support. The considered elastica problem belongs to the class of large-deflection beam problems with variable deformed arc-lengths between the supports. To solve the governing nonlinear differential equation together with the boundary conditions, the elliptic integral method has been used. The method yields closed-form solutions that are expressed in a set of transcendental equations in terms of elliptic integrals. Using an iterative scheme, pertinent bending results are computed for different values of coefficient of friction, elastic rotational spring constant and loading position, so that their effects may be examined. Also, these accurate solutions provide useful reference sources for checking the convergence, accuracy and validity of results obtained from numerical methods and software for large deflection beam analysis. It is interesting to note that this class of elastica problem may have two equilibrium states; a stable one and an unstable one. Received 5 August 1996; accepted for publication 14 February 1997     

Investigation of the three-dimensional microstructure of Cu-Sn(Pb) diffusion zones by means of ion beam sputtering, scanning electron microscopy and lattice source interferences

On model substances of Cu-Sn(Pb) solders it is shown by the combined use of several physical analytical methods that the intermetallic compounds formed during the annealing process have a crystalline structure, which can be observed also three-dimensionally by ion etching. Moreover, grain boundaries as well as phases become visible, and it is possible to determine the crystallographic orientation of the individual crystals in the Cu starting material and in the diffusion zones by means of the Kossel technique. As a result of the investigations, conclusions can be drawn with respect to the diffusion process, especially also to the crystallographic structure of the diffusion zones and the dendritic growth.Dedicated to Professor Dr. rer. nat. Dr. h.c. Hubertus Nickel on the occasion of his 65th birthday     

The heat transfer problem in the wall region of a turbulent boundary layer

The problem of heat transfer in the wall region of a turbulent boundary layer has been investigated. The resonant triad in the theory of hydrodynamic stability was used to obtain the velocity field induced by the coherent structures in the wall region of the turbulent boundary layer, while the small scale turbulence was represented by a simple model. By such a new approach of modeling, the 3-D temperature field is calculated, the mean temperature profile in the wall region and the Nusselt number characterizing the heat flux, which was found to be in good agreement with the experimental observations are obtained. The instantaneous temperature field had streaky structures, thus offering a mechanism for their generation found in numerical simulations. Project supported by the National Natural Science Foundation of China (Grant No. 19132011).