格兰-泰勒棱镜空气隙厚度的测量

为了测量格兰一泰勒棱镜空气隙的厚度,分析了棱镜对单模高斯光束的影响.结果表明.经过棱镜后的透射光强随着光束在棱镜端面上的入射角变化呈现周期性的振荡,且振荡特性与入射光的波长,光强分布特性、棱镜结构角及宅气隙的厚度有关.对于给定波长的入射单模高斯光束,由于棱镜的结构角在棱镜胶合之前可以精确测得,所以通过分析这种振荡特性便町以得出棱镜空气隙的厚度.据此设计实验.测出了透射光强随入射角的周期性变化关系.利用计算机编程.間隔改变0.0001 mm作为理论计算中的空气隙厚度的取值.计算实验测得的透射光强振荡周期与理论计算值的相对偏差的平均值,对于样品棱镜,当该值为4.35%时取值最小,此时对应的空气隙厚度为0.0143 mm.     

部分相干厄米-高斯列阵光束通过湍流大气传输的方向性

推导出了部分相干厄米-高斯(H-G)列阵光束通过湍流大气传输的二阶矩束宽和远场发散角的解析公式。采用远场发散角作为光束方向性的评价参数,研究了部分相干H-G列阵光束通过湍流大气传输的方向性。研究表明:在一定条件下,部分相干H-G列阵光束与对应的高斯光束不论在自由空间还是湍流大气中均具有相同的方向性。此外,进一步研究发现,在自由空间中,由远场发散角和归一化远场平均光强分布所表征的部分相干H-G列阵光束的方向性是不一致的,但湍流可以使得两种描述相一致。这一结论与高斯-谢尔模型(GSM)列阵光束的相关结论存在差异。在自由空间中,与高斯光束具有相同远场发散角的非相干合成的GSM列阵光束与对应的高斯光束具有相同的归一化远场光强分布。     

A Variational Iteration Solving Method for a Class of Generalized Boussinesq Equations

We study a generalized nonlinear Boussinesq equation by introducing a proper functional and constructing the variational iteration sequence with suitable initial approximation. The approximate solution is obtained for the solitary wave of the Boussinesq equation with the variational iteration method.     

Properties of Dihadron Correlations for p＋p Collisions at √8NN = 200 GeV

The dihadron azimuthal angular correlations for p＋p collisions at √8NN = 200 GeV are simulated by a multiphase transport model. The dispersions of near-side and away-side peaks, indicated by the width of Gaussian fit functions and the rms width, decrease with the transverse momentum of associated particles. This trend is consistent with the experimental results. Conditional-yields are also calculated to obtain distributions of the associated particle transverse momentum for both away-side and near-side. Furthermore, the hadronic rescattering effects make the conditional-yield distributions softer.     

HOMOTOPY CONTINUATION ALGORITHM FOR STRUCTURAL DAMAGE IDENTIFICATION

I. INTRODUCTIONStructural damages due to the loss of sti?ness such as crack, localization bulking have remarkablein?uences on the physical properties of structure such as deformation, stress, frequency and modelshape. So the change of these properties can be used to identify the damage location and degree ofstructures. The damage identification techniques based on these properties’ changes have attractedmuch attention in recent years, and many approaches have been developed[1??5].Nowaday…     

MONOTONE ITERATION FOR ELLIPTIC PDEs WITH DISCONTINUOUS NONLINEAR TERMS

In this paper, we use monotone iterative techniques to show the existence of maximal or minimal solutions of some elliptic PDEs with nonlinear discontinuous terms. As the numerical analysis of this PDEs is concerned, we prove the convergence of discrete extremal solutions.     

一类修正的Halley迭代法的统一收敛性定理

In this paper a class of modified Halley iteration methods for simultaneously finding polynomial zeros is discussed. A unified convergence theorem is proposed and the efficiency analysis is given.     

AN ITERATIVE BEM FOR THE INVERSE PROBLEM OF DETECTING CORROSION IN A PIPE

In this paper, we consider an inverse problem of determining the corrosion occurring in an inaccessible interior part of a pipe from the measurements on the outer boundary. The problem is modelled by Laplace's equation with an unknowm term γ in the boundary condition on the inner boundary. Based on the Maz'ya iterative algorithm, a regularized BEM method is proposed for obtaining approximate solutions for this inverse problem. The numerical results show that our method can be easily realized and is quite effective.     

齐次函数的性质与应用

介绍了齐次函数的若干性质及其应用     

含H-单调映象的完全广义非线性变分包含

引入和研究了一类新的完全广义非线性变分包含.在Hilbert空间中利用与H-单调映象相联系的预解算子的性质,对完全广义非线性变分包含建立了解的存在性定理和构造了一种新的迭代算法,证明了由此算法生成的迭代序列强收敛于精确解.其算法和结果是最近文献中相应算法和结果的改进和推广.