基于自适应光学成像非等晕效应的空变点扩展函数估计模型

针对湍流扰动波前改正的天文自适应补偿成像系统由于等晕区存在而限制了观测视场内有效的补偿区域.这对通过自适应光学系统获取的天文实测数据的充分利用造成很大不便.通过对自适应光学系统空域统计特性的分析,得到空变点扩展函数的成像系统描述.在此基础上,依据大气光学统计理论,通过多相位屏分层大气湍流模型,提出一种利用数值模拟估计空...     

透镜检测中复合自动对焦技术的研究及应用

针对光学透镜参数测量系统中的对焦问题,设计了一种粗精结合的复合自动对焦方案.在粗对焦过程中,选用全局图像的方差函数作为清晰度评价函数,用均值比较的爬山法实现焦面搜索,并用三点法判断初始对焦方向.在精对焦过程中,利用基于数学形态学的条件膨胀算法和形状因子提取目标图像,并以日标图像区域内的Brenner函数作为清晰度评价函...     

三维不规则区域热传导问题无网格方法的数值模拟

配点型无网格法是纯无网格法,它不需要任何背景网格,效率高。本文用加权最小二乘配点方法(Weighted Least-Squares Collocation Method-WLSCM)计算不规则区域热传导问题,形函数采用径向基函数近似。通过二维具有分析解的实例表明WLSCM方法精度高,稳定性好且具有较高的计算效率。此外,将WLSCM方法应用于工程中常见的三维不规则区域热传导问题,结果表明:WLSCM方法的计算结果与FLUENT的计算结果符合很好。     

A viable method for goodness-of-fit test in maximum likelihood fit

A test statistic is proposed to perform the goodness-of-fit test in the unbinned maximum likelihood fit. Without using a detailed expression of the efficiency function, the test statistic is found to be strongly correlated with the maximum likelihood function if the efficiency function varies smoothly. We point out that the correlation coefficient can be estimated by the Monte Carlo technique. With the established method, two examples are given to illustrate the performance of the test statistic.     

在大学物理中讲授纵波的一点尝试

采用小球弹簧链模型和相对形变,以便于理解纵波的基本性质.     

非对等FOV作用下的高分辨率FTIRS仪器线型函数研究

视场角(FOV)是仅次于最大光程差、决定高分辨率傅里叶红外光谱仪(FTIRS)仪器线型函数(ILS)的重要因素.由于光学设计和装调原因,理论为圆形FOV的扩散光束,到达探测器端时,其水平和垂直方向上的FOV值往往不再严格对等.对此,提出了以椭圆形面光源取代传统文献中的圆形面光源来反映这种非对等性,并结合最大光程差参数,...     

A note on the existence of fractional f-factors in random graphs

Let G=Gn,p be a binomial random graph with n vertices and edge probability p=p(n),and f be a nonnegative integer-valued function defined on V(G) such that 0a≤f(x)≤bnp-2np ㏒n for every x ∈V(G). An fractional f-indicator function is an function h that assigns to each edge of a graph G a number h(e) in [0,1] so that for each vertex x,we have dh G(x)=f(x),where dh G(x) = x∈e h(e) is the fractional degree of x in G. Set Eh = {e:e ∈E(G) and h(e)=0}.If Gh is a spanning subgraph of G such that E(Gh)=Eh,then Gh is called an fractional f-factor of G. In this paper,we prove that for any binomial random graph Gn,p with p≥n-23,almost surely Gn,p contains an fractional f-factor.     

Existence of pseudo-almost automorphic solutions for nonlinear differential equations

In this paper, we discuss the existence of pseudo-almost automorphic solutions to linear differential equation which has an exponential trichotomy~ and the results also hold for some nonlinear equations with the form x＇（t） = f（t,x（t）） ＋ λg（t,x（t））, where f,g are pseudo-almost automorphic functions. We prove our main result by the application of Leray-Schauder fixed point theorem.