直线阵光学综合孔径成像中的子孔径尺寸效应

光学综合孔径阵列中的子孔径的位置和直径的大小对成像质量有着重要的影响。详细分析了几种不同优化排列的光学综合孔径直线阵列的无像差点扩展函数、光学传递函数和衍射成像特性．结果表明,子孔径的位置不同．光学传递函数的空间频率覆盖有很大的差异。增大子孔径的直径可以增大空间频率覆盖程度．但子孔径直径过大时义会产生空间频率冗余度和增加制造成本。直线阵光学综合孔径的衍射成像是多重像,子孔径直径的增大还可以减小重影的程度,提高成像质量。结果说明,在进行光学综合孔径阵列优化排列时必须考虑子孔径的直径大小这个重耍的因素。     

Differential Representations of SO（4） Dynamical Group

In this paper we present systematic differential representations for the dynamical group SO（4）. These representations include the left and the right differential representations and the left and the right adjoint differential representations in both the group parameter space and its coset spaces. They are the generalization of the differential representations of the SO（3） rotation group in the Euler angles. These representations may find their applications in the study of the physical systems with SO（4） dynamical symmetry.     

具有空间重叠性和时间同步性的双波长TEA CO2激光器研究

提出了一种改进的双波长TEA CO2激光器,不仅具有良好的空间重叠性,而且具有比较理想的时间同步性.该激光器由两个空间上部分重叠的光栅和一个锗镜构成光栅-平面腔,两个光栅前后放置,相互利用,共同建立双频振荡,由锗镜输出双波长激光.通过改变两光栅的有效面积,对两输出脉冲空间重叠性进行调节;通过改变两光栅的角度形成的失谐缩小输出脉冲的时间间隔,达到时间同步性.实验表明,可以在空间重叠性的基础上使两输出脉冲的时间间隔由1 000 ns调整到200 ns.     

Kernel representation-based nearest neighbor classifier

An improvement to the nearest neighbor classifier (INNC) has shown its excellent classification performance on some classification tasks. However, it is not very clearly known why INNC is able to obtain good performance and what the underlying classification mechanism is. Moreover, INNC cannot classify low-dimensional data well and some high-dimensional data in which sample vectors belonging to different class distribution but have the same vector direction. In order to solve these problems, this paper proposes a novel classification method, named kernel representation-based nearest neighbor classifier (KRNNC), which can not only remedy the drawback of INNC on low-dimensional data, but also obtain competitive classification results on high-dimensional data. We reveal the underlying classification mechanism of KRNNC in details, which can also be regarded as a theoretical supplement of INNC. We first implicitly map all samples into a kernel feature space by using a nonlinear mapping associated with a kernel function. Then, we represent a test sample as a linear combination of all training samples and use the representation ability to perform classification. From the way of classifying test samples, KRNNC can be regarded as the nonlinear extension of INNC. Extensive experimental studies on benchmark datasets and face image databases show the effectiveness of KRNNC.     

两粒子相容可观察量共同本征矢的推导

利用有序算符正规乘积内的积分技术(IWOP)和待定系数法,推导出了两粒子相对坐标算符x^1-x^2与总动量算符p^1 p^2的共同本征矢|η〉在Fock空间中的展开式,为解决这类问题提供了一种行之有效的方法,这对提高学生的学习素质和加深学生对理论知识的理解会有一定的帮助.     

Klein-Gordon oscillators in noncommutative phase space

We study the Klein-Gordon oscillators in non-commutative (NC) phase space. We find that the Klein-Gordon oscillators in NC space and NC phase-space have a similar behaviour to the dynamics of a particle in commutative space moving in a uniform magnetic field. By solving the Klein-Gordon equation in NC phase space, we obtain the energy levels of the Klein-Gordon oscillators, where the additional terms related to the space-space and momentum-momentum non-commutativity are given explicitly.     

基于局部尺度不变特征的快速目标识别

介绍了图像局部尺度不变特征的提取方法,将局部尺度不变特征用于目标识别,为提高识别实时性,提出利用金字塔和尺度空间的混合多尺度表示方法,按照从大尺度到小尺度的顺序对待识别图像的特征点进行检测与匹配,直到完成识别为止,有效地提高了识别速度。     

空间望远镜分块式主镜共相位调整的优化算法研究

以应用主动控制系统进行分块镜共相位调整的大口径空间望远镜为研究对象,分析了分块式主镜致动器位移与相位误差之间的对应关系以及共相位调整的目标。研究采用一种求解非线性约束问题的序列二次规划法优化求解主镜致动器的位移控制指令,校正分块式主镜相位误差。数学仿真结果表明,应用序列二次规划法对分块式主镜进行共相位调整优化,控制精度得到了很大地提高。     

基于高次余弦散射分布的空间卫星可见光特性

基于几何光学和辐射理论,研究了空间卫星的可见光散射特性.空间卫星的背景辐射主要包括太阳的直接辐射和地球及大气的散射辐射,根据目标的结构特性与背景特性建立了空间卫星的几何模型和光照模型.分析目标表面状况,入射到目标表面的光线近似服从高次余弦散射分布,根据能量守恒定理及表面材料的高次余弦散射分布特性建立了目标散射特性的数学模型.通过矢量坐标变换确定太阳、地球、观测卫星在目标本体坐标系下的相对位置关系.根据给定的几何尺寸和表面物性参量仿真获得了目标在探测器入瞳处的能量分布及星等特征,目标本体与太阳帆板在探测器入瞳处的辐照度最大量级均为10-12 W/m2.仿真结果表明太阳帆板在目标特性分析时不可忽略,为空间目标的可见光探测提供参考数据.