Modification of Spatial Coherence by Means of Low-Order Zernike-Mode Adaptive Optics

Spatial coherence of the field modified by low-order adaptive optics is analyzed to establish a theoretical basis for the recent idea of using adaptive optics as a spatial coherence modifier. In this context low-order adaptive optics has the ability to correct some of the low-order aberrations specified by Zernike polynomials. The initial field to be modified is assumed to be a spatially partially coherent one resulting from phase disturbance. It is demonstrated, as in the previous study, that low-order adaptive optics serves to enhance the spatial coherence of the resultant field and that the effect of the enhancement becomes stronger as the spatial coherence of the initially partially coherent field increases. Potential applications of low-order adaptive optics as a spatial coherence modifier are briefly discussed.     

一类共轭梯度法的全局收敛性结果

本文证明了在Grippo-Lucidi线搜索下当βk取βk=σ1βPRPk+σ2βnewk,其中σ1≥0,σ2≥0,σ1+σ2＞0,βnewk=gTk(gk-gk-1)/-dTk-1gk-1时一类共轭梯度法的全局收敛性,并给出了此类方法良好的数值效果.     

Flow Search Approach and New Bounds for the m-Step Linear Conjugate Gradient Algorithm

A flow search approach is presented in this paper. In the approach, each iterative process involves a subproblem, whose variables are the stepsize parameters. Every feasible solution of the subproblem corresponds to some serial search stages, the stepsize parameters in different search stages may interact mutually, and their optimal values are determined by evaluating the total effect of the interaction. The main idea of the flow search approach is illustrated via the minimization of a convex quadratic function. Based on the flow search approach, some properties of the m-step linear conjugate gradient algorithm are analyzed and new bounds on its convergence rate are also presented. Theoretical and numerical results indicate that the new bounds are better than the well-known ones.     

Elliptic systems with nonlinearity q greater or equal than two with controlled growth. Global Hölder continuity of solutions to the Dirichlet problem

Hölder regularity up to the boundary of the solutions to the Dirichlet problem for second order elliptic systems with nonlinearity q>2 and with controlled growth is proved when n?q+2.     

Shifting the Superparamagnetic Limit of Nanosized Copper Iron Spinel

In this paper we analyze trend of EFG values measured at Cd impurity in a group of semiconducting delafossites with chemical formula CuBO₂ (B = Al, Fe, Cr, Nd). We conclude that this trend reveals one of the most subtle details in electronic spectrum of the compounds: if impurity states are formed within or out of the band gap. In CuAlO₂ and CuFeO₂ the Cd EFG exhibits larger value than in CuCrO₂ and CuNdO₂, when Cd substitutes the Cu atom. This occurs because in the first two compounds the Cd forms shallow band within the gap, and in the second two compounds does not. When Cd occupies the B position it exhibits almost the same EFG in all delafossites. In this case, Cd does not form its states within the gap in none of the compounds. To arrive to these conclusions we analyzed and calculated various systems (Cd-doped CuAlO₂ and CuCrO₂ compounds, fictitious molecules), using the FP-LAPW method.     

平果岩溶堆积铝土矿空间分布特征及成因探讨——以教美矿区为例

以平果堆积铝土矿教美矿区为例,对矿区堆积铝土矿的空间分布特征及成因进行了探析,提出了岩溶堆积铝土矿的堆积序列和分布规律。     

基于不同摄像机配置的空间点检测模型及精度研究

针对空间点检测问题给出了一种简便而精确的空间点检测方法并建立了实验环境下的数学模型,提出了视差为零时,所测得的空间点深度最接近真实值的假设,并得到如下结论：给定空间点,深度不变,基线越短,光轴的夹角越小；深度改变时,基线一定,则深度越长,夹角越小。推导出在不同基线、不同深度下摄像机光轴之间理想夹角的数学模型并通过实验进行了验证。该方法对实际双目检测系统的摄像机配置有一定的指导作用。     

障碍可越路线规划的符号图方法

本文给出２—Ｄ路线规划问题在障碍可越情况下的启发式符号方法．这一方法利用推理规则在由图像信息导出的连通图知识结构上进行启发式符号Ａ搜索以对空间关系进行分析和分类，以符号描述形式给出两声间路线规划方案．     

关于多目标数学规划的最优性条件

本文讨论定义于Ｂａｎａｃｈ空间的多目标数学规划，得到一些ε－最优解和（弱）有效解的必要条件，充分条件和必要充分条件。     

Gradient- and Sensitivity-Enhanced TOCSY Experiments

A pulsed field gradient version of the sensitivity-enhanced 2D TOCSY experiment is proposed which yields high-quality spectra with improved sensitivity and a minimum of two scans pert₁increment. For rapid acquisition of 1D TOCSY spectra, the 1D DPFGSE–TOCSY experiment was modified to include phase-encoded multiple-selective excitation followed by a simple spectral editing. Combination of these two building blocks is used in a sensitivity-enhanced 2D analog of the 3D TOCSY–TOCSY experiment which provides an efficient tool for resolving severely overlapped signals of oligomers in short experimental time.