Uncertainty Relations Based on Modified Wigner-Yanase-Dyson Skew Information

Uncertainty relation is a core issue in quantum mechanics and quantum information theory. We introduce modified generalized Wigner-Yanase-Dyson (MGWYD) skew information and modified weighted generalized Wigner-Yanase-Dyson (MWGWYD) skew information, and establish new uncertainty relations in terms of the MGWYD skew information and MWGWYD skew information.

     

彩色多通道光栅投影轮廓术

研究了一种双通道光学相位测量轮廓术。利用彩色空间中红色与蓝色互相独立、互不干扰的特性,将两个相位相反的线性周期变化的光栅分别放在红以与蓝色通道,形成彩色双通道投影光栅。用彩色ＣＣＤ获取图像,并和图像采集卡将图像送入计算机。从彩色图像的红色与蓝色通道可分别获得两个互相反相位的线性周期光栅的调制图。在一次采样中即可获得两个通道的测量结果,因而特别适用于动态测量。     

Photocatalytic degradation of methyl orange by nano-TiO_2 thin films prepared by RF magnetron sputtering

Nano-TiO2 thin films are deposited by radio frequency （RF） magnetron sputtering using TiO2 ceramic target and characterized by X-ray diffractometer, atomic force microscope, and ultraviolet-visible spectrophotometer. The photocatalytic activity is evaluated by light-induced degradation of methyl orange solutions （5, 10, and 20 ppm） using a high pressure mercury lamp as the light source. The film is amorphous, and its energy gap is 3.02 eV. The photocatalytic degradation of methyl orange solution is the first-order reaction and the apparent reaction rate constants are 0.00369, 0.0024, and 0.00151 for the methyl orange solution concentrations of 5, 10, and 20 ppm, respectively.     

偏心和倾斜光学系统的像差特性

运用一种新的分析偏心和倾斜光学系统初级像差特性的方法—矢量像差理论,分析了具有较大交叉倾斜角的平行平板光学系统和具有较大倾斜角的光楔光学系统的像差特性.通过ZEMAX光学设计软件像差分析功能中的垂轴像差曲线、场曲曲线和点列图加以比较,两者非常吻合,证明该理论可以对具有较大倾斜元件的非共轴光学系统设计起指导作用.     

Effect of ZnS layers on optical properties of prepared CdS/TiO<Subscript>2</Subscript> nanotube arrays for photocatalyst

The TiO₂ nanotube arrays (TiO₂ NTAs) prepared by re-oxidation were chosen as basement. The NTAs prepared through re-oxidation show smoother surface and more uniform tube mouth on large scale compared with the first as-grown one. We use successive ionic layer adsorption and reaction method to deposit quantum dots (ZnS and CdS) onto the sample successively. The findings reveal that two kinds of quantum dots (～10 nm) distribute regularly and the nanotube mouth is open. From the UV–Vis absorption spectrum of samples, the red shift occurs after the sedimentation of the two quantum dots, which proves that the double modification can expand the absorption to 650 nm. Among all specimens, the sample produced by co-deposition has the highest speed of catalytic efficiency of 90.7% compared with bare TiO₂ NTAs (52.9%) and just CdS QDs sensitized sample (65.8%). In the test of photocatalysis durability, the decay percentages of CdS/TiO₂ NTAs and ZnS/CdS/TiO₂ NTAs were 35.8 and 48.4%, respectively, which means that the ZnS passivation layer plays a crucial role in enhancing photocatalytic activities.     

杜仲中京尼平甙酸的硅胶柱色谱分离纯化及反相高效液相色谱/液相色谱-电喷雾质谱/核磁共振鉴定

建立了杜仲中京尼平甙酸的硅胶柱色谱分离纯化及反相高效液相色谱/液相色谱-电喷雾质谱/核磁共振(RP-HPLC/LC-ESI-MS/NMR)鉴定方法。杜仲皮经粉碎后,用70%乙醇提取,提取液经减压蒸馏至干,再用甲醇溶解,然后吸附于硅胶上,并以不同体积比的氯仿-甲醇混合液按洗脱剂的极性由小到大进行洗脱,以RP-HPLC法检测洗脱液中物质的种类和含量。结果表明:洗脱剂为氯仿-甲醇（体积比为8∶1）的洗脱液经分析为单一组分,其保留时间为5.142 min;以对照品京尼平甙酸添加法测定,其峰高增加;相关紫外光谱和红外光谱检测结果与京尼平甙酸对照品基本一致;结合LC-ESI-MS、 1H-NMR和13C-NMR等测定,确定该洗脱组分为京尼平甙酸。     

红外双波段双层谐衍射光学系统设计

将谐衍射透镜应用在传统红外单波段佩茨瓦尔(Petzval)物镜上,设计得到工作波段处于3.4~4.2μm和8~11μm的红外双波段单层谐衍射光学系统。但单层谐衍射元件的衍射效率只在设计波长处衍射效率最高,随着波长相对设计中心波长向两侧偏离,主衍射级次的衍射效率逐渐下降。为提高含单层谐衍射元件光学系统的衍射效率,基于双层衍射元件衍射效率表达式研究了双层谐衍射元件的结构优化,给出了优化方法。设计出佩茨瓦尔型红外双波段双层谐衍射光学系统,其在3.4~4.2μm和8~11μm两个工作波段的衍射效率均达到90%以上,相比含有单层谐衍射面的光学系统衍射效率有了很大提升,提高了像面衬比度,完善了系统成像质量。     

关于一类随机非线性算子方程的若干问题的研究（英文）

本文推广了两个重要的不等式,并且利用随机不动点指数理论研究了一类随机非线性算子方程的随机解的存在性问题,主要结果推广了著名的Altman定理.最后给出主要结果在随机非线性积分方程中的一个应用.     

激光原位角膜磨镶手术后不良症状的光学分析

测量了准分子激光原位角膜磨镶(LASIK)手术后人眼的单色像差。并根据术后症状,将所有数据分类为视物星芒状组、单眼复视组、视物雾状组和参考组。视物星芒状组和视物雾状组的三阶和四阶泽尼克(Zernike)像差的均方根(RMS)值明显大于无症状的参考组。术后有不良症状各组的人眼的调制传递函数(MTF)明显低于参考组的调制传递函数。在明视觉条件下,四阶像差特别是对称性的泽尼克球差,对调制传递函数的影响大;而在暗视觉条件下,三阶像差特别是非对称性的泽尼克彗差对调制传递函数的影响大。四阶以上的高阶像差对各有症状组的调制传递函数曲线有影响,而这些高阶像差对参考组的调制传递函数已无明显影响。像差的均方根值和调制传递函数曲线是研究术后不良症状的较有效光学手段。     

基于个性化人眼模型的大视场波像差特性的研究

大视场波前像差对人眼光学系统的影响不容忽视。运用Zemax光学设计软件分别为8只正常人眼构建了个性化的人眼模型,该人眼模型由实际测量的人眼波前像差数据、角膜地形数据及眼内各部分轴向间距数据优化得来,与个体人眼具有相同的光学特性。在此基础上,分析了人眼颞侧方向0°,10°,20°,30°,40°,50°视场的离轴像差随视场角的变化趋势,得出边缘视觉比中央视觉质量差主要来源在于像散与彗差。四阶以上的高阶像差随着视场角的改变,变化不大。将个性化人眼模型计算得到的大视场波前像差值与用哈特曼夏克(Hartmann-Shack)波前传感器实际测量得到的人眼像差值相比较,两者结果相吻合。