靶面激光光斑尺寸原位测量的研究

提供了一种简便易行的靶面激光光斑尺寸原位测量的方法。从高斯光束的横向光强分布特性出发,建立了激光烧蚀斑半径与辐照激光能量、光斑尺寸、烧蚀阈值间的关系式,模拟分析发现辐照激光光斑尺寸对烧蚀斑半径随辐照能量变化曲线有较大影响。对于脉宽为2 ms,波长为1064 nm的激光,实验测量了不同能量激光辐照下相纸烧蚀斑半径,并用推导出的关系式拟合测量数据,获得了靶面处光斑尺寸和样品烧蚀阈值。同时,也测量了不同位置处的光斑尺寸和样品烧蚀阈值,对高斯光束束腰位置和样品烧蚀阈值的光斑尺寸效应进行了验证。研究结果表明该技术结果可靠,简单高效。该技术可以为高能激光与固体物质相互作用的基础研究和激光加工等应用领域中实现简单方便地测量靶面光斑尺寸提供帮助。     

The Szegö kernel on a class of non-compact CR manifolds of high codimension

We generalize Nagel’s formula for the Szegö kernel and use it to compute the Szegö kernel on a class of non-compact CR manifolds whose tangent space decomposes into one complex direction and several totally real directions. We also discuss the control metric on these manifolds and relate it to the size of the Szegö kernel.     

雕刻技术的研制和应用

在对铝合金铸件进行X射线实时探伤时，由于采集回来的许多图像的目标物体的轮廓比较模糊，这样在评片时容易造成对铸件的误判和漏判。针对这种现象并结合这类图像噪声源多的特点，在研究常用卷积算法的基础上，采用特殊卷积（特殊的卷积核）操作，同时根据雕刻的艺术底色为灰色，最后给卷积结果加上灰度值128，实验结果表明图像中目标物体的轮廓变得更清楚，同时处理后的图像具有比较好的三维效果，这给工作人员在看图时带来了方便。     

一种新的主动网络安全体系的设计

尽管主动网络原型系统中设计了一些安全措施，但是它们都不具通用性且主要集中在security方面，这在主动网络必须和传统网络相兼容的情况下，阻碍了主动网络的发展。本文在定义消极型错误和积极型错误的基础上，设计了主动网络资源控制核。然后提出了集security和safety保障为一体的基于资源控制核的一种通用的主动网络安全体系，探讨了该体系应具有的特点、设计目标和可行性，并设计了主动节点的安全机制。     

PZT陶瓷的断裂分析

与有限元法相比,无网格法由于只需节点不用单元而在压电分析中具有优越性。采用一个简单的包含有极化反转及电饱和影响的锆钛酸铅系压电陶瓷(PZT)的本构模型,以局部J积分作为断裂准则,应用再生核点法这一无网格数值法导出了作用电场与断裂载荷的关系曲线,该曲线的趋势与Park[1]的实验观察现象一致。计算程序采用面向对象方法实现。     

Boundedness of commutators on homogeneous Herz spaces

The boundedness on homogeneous Herz spaces is established for a large class of linear commutators generated by BMO(R ⁿ ) functions and linear operators of rough kernels which include the Calderón-Zygmund operators and the Ricci-Stein oRfiUatory singular integrals with rough kernels. Project supponed in pan by the National h’atural Science Foundation of China (Grant No. 19131080) and the NEDF of China.     

Integral Kernel Operators on Fock Space – Generalizations and Applications to Quantum Dynamics

A general theory of operators on Boson Fock space is discussed in terms of the white noise distribution theory on Gaussian space (white noise calculus). An integral kernel operator is generalized from two aspects: (i) The use of an operator-valued distribution as an integral kernel leads us to the Fubini type theorem which allows an iterated integration in an integral kernel operator. As an application a white noise approach to quantum stochastic integrals is discussed and a quantum Hitsuda–Skorokhod integral is introduced. (ii) The use of pointwise derivatives of annihilation and creation operators assures the partial integration in an integral kernel operator. In particular, the particle flux density becomes a distribution with values in continuous operators on white noise functions and yields a representation of a Lie algebra of vector fields by means of such operators.     

Multicriteria decision making under uncertainty

Formalization for problems of multicriteria decision making under uncertainty is constructed in terms of guaranteed and weak estimates. A relevant definition of the vector maximinimax value is given. Parameterization and approximation of maximum, minimax, and maximinimax values based on the inverse logical convolution are suggested. An application for multicommodity networks is considered. Received: December 13, 2000 / Accepted: August 21, 2001?Published online May 8, 2002