Compact weakly symmetric spaces and spherical pairs

Let be a spherical pair and assume that is a connected compact simple Lie group and a closed subgroup of . We prove in this paper that the homogeneous manifold is weakly symmetric with respect to and possibly an additional fixed isometry . It follows that M. Krämer's classification list of such spherical pairs also becomes a classification list of compact weakly symmetric spaces. In fact, our proof involves a case-by-case study of the isotropy representations of all spherical pairs on Krämer's list.

     

圆锥透镜对偏轴球面波光束的衍射模式

球面波入射圆锥透镜产生的出射光束中心光斑直径较小且焦深长，适合通讯领域长距离测量和准直。针对实际操作中球面波光束入射时很可能与圆锥透镜的中心轴线发生偏移或倾斜，使衍射光场发生变化，着重研究圆锥透镜对偏轴球面波光束的衍射模式，并通过衍射理论和稳相法分析，研究其径向衍射光场的分布特性。使用半径为15mm，底角为1°的圆锥透镜进行计算机仿真和实验，最后将实验结果与理论分析和仿真结果相比较，证明球面波的曲率半径和出射光束的传输距离越小，偏轴对衍射模式的影响越小。该研究结果表明：在激光通讯等长距离通信中，使用曲率半径小的球面波光束代替平面波入射圆锥透镜，不仅可以扩展焦深，还可以降低偏轴对测量的影响。     

远场来流对过冷熔体中球状晶体生长的影响

利用渐近分析方法研究了远场来流引起的对流对过冷熔体中球状晶体的生长形态的影响.结果表明,由远场来流导致的对流使得正在生长的球状晶体的界面在向着来流的前部朝来流方向相反的方向生长, 并且提高了朝来流的相反方向的生长速度, 在背风方向衰减；正在衰减的球状晶体的界面在向着来流的前部加速衰减, 在背风方向减缓衰减. 关键词： 球状晶体 远场来流 对流 界画形态     

Measurement Accuracy in Phase-Shifting Point Diffraction Interferometer with Two Optical Fibers

A phase-shifting point diffraction interferometer (PS/PDI) with point sources of two single mode optical fibers has been developed, which will be appropriate for the surface figure measurement of large aperture optics on a sub-nanometer scale. To reduce the measurement error factors, a fiber optic plate (FOP) is used as a projection plane for interference pattern. Errors caused by imperfection of optical alignment, such as position of point sources and tilt of FOP, are minimized by analyzing the measured phase data with an original method. Measurement accuracy in the PS/ PDI is estimated with the interference pattern produced by the two optical fiber sources. If inhomogeneity of the FOP and a systematic error of the PS/PDI are eliminated, the measurement accuracy of the present system is estimated to be less than 4nm P-V and 0.7nm rms, respectively, at a measurement wavelength of 632.8 nm.     

ω-超广义函数的卷积运算

讨论ω-超广义函数间中的卷积运算，并且给出了一些超广义函数卷积运算的公式。     

融盐包裹法合成球形正极材料LiNi_(0.7)Co_(0.2)Al_(0.1)O_2(英文)

以球形Ni(OH)2为核心原料,Al(NO3)3.9H2O、Co(NO3)2.6H2O和LiNO3为包裹原料,采用融盐包裹法在空气中煅烧合成了单相固溶体LiNi0.7Co0.2Al0.1O2。用XRD研究了合成产物的物相和结构,用SEM研究了合成产物的形貌,用电池性能测试仪研究了合成产物的电化学性能。实验结果表明,合成产物具有α-NaFeO2型层状有序结构、球状形貌和良好的电化学性能。     

球差对调焦函数的影响

红外导引头成像光斑测试仪系统的球差对成像光斑质量有很大的影响,降低了光斑的能量集中度.通过对球差因素影响的研究,构造的调焦评价函数能更精确地分辨最佳像面,从而通过自动聚焦寻找最佳像面位置,是测试仪评价其光学系统质量的一个重要环节.     

Determination of the refractive index of spherical erythrocytes of human blood in the range 0.3–1.2 µm

A proposed procedure for determining the spectral values of the refractive index of spherical erythrocytes of human blood is based on angular light scattering and the use (for one-time scattering) of a multiple regression equation. A theoretical study of the stability of the relationship between the light scattering indicatrix and the refractive index of erythrocytes toward possible variations of their microstructure parameters is performed in order to select the optimal angles. The precision of the proposed method and its sensitivity to indicatrix measurement uncertainties are estimated. __________ Translated from Zhurnal Prikladnoi Spektroskopii Vol. 74, No. 3, pp. 382–386, May–June, 2007.     

Total analysis of surface structure and properties by UHV transfer system

We have developed an ultrahigh-vacuum (UHV) complex sample preparation and analysis system, which realizes a reliable surface science analyzing various characters on an identical surface. The system contains three sample-preparation-and-characterization chambers and five analysis chambers. They are (1) an electronic-properties-characterization chamber, (2) a magnetic-properties-characterization chamber, (3) an organic-molecule chamber, (4) UHV SEM, (5) a high-energy-resolution angle-resolved photoelectron spectrometer, (6) a high-energy-resolution display-type spherical mirror analyzer, (7) a room-temperature (RT) STM, and (8) an optical-properties characterization chamber. A special sample holder is used with six electrodes on it, which enables accurate temperature measurement of a sample by connecting a thermocouple directly to the sample even if it is transferred. Four other electrodes can be used for construction of various circuits including evaporators. Some examples are shown.     

基于二维卷积的图像插值实时硬件实现

为了实时实现图像处理中的图像插值,提出了一种与具体插值算法无关的通用二维卷积器实现结构和一种使用两级缓存的图像数据存取结构。利用所提出的结构,设计了使用双三次插值的图像插值模块,在可编程逻辑门阵列上进行了实现。进行了图像实时放大的实验。实验结果表明:采用本结构,可以降低片上存储器的消耗,方便地实现比较复杂的插值,达到实时处理的目的。