用离散均值—水平集求全局最优算法

全局最优理论和方法,由于全局性的要求,比局部最优理论和方法更为困难,特别是,至今还没有很好的全局最优性的判别准则,故多数算法法缺少好的终止准则.西文提出了一个只需计算函数值的离散均值—水平集求全局最优的方法,给出了算法的终止准则,证明了算法的收敛性,并给出了某些数值例子.     

沙林在CTAB逆胶束介质中的化学发光分析

以 CTAB在氯仿 /环已烷为主体溶剂相中所形成的逆胶束介质 ,基于鲁米诺 - H2 O2 化学发光体系对沙林进行定量分析 ;研究了氯仿与环已烷的不同配比、R值、CTAB浓度、p H、鲁米诺浓度及 H2 O2 浓度对化学发光强度的影响。沙林的检测线性范围为 1× 1 0 -6～ 1× 1 0 -2 mol/L,检出限为 1 .5× 1 0 -7mol/L ,对水样及土样测定的回收率均在 90 %以上     

论基础数学工具的创新运用

在建立叶轮机三元流面理论时,吴仲华巧妙地、创造性地提出了全导数型的沿流面方向偏导数的概念和表达式,导出了两类流面气动力学数学模型,不但数学形式简洁,而且具有明晰的物理意义,有利于分析和求解。在吴氏流面理论的启示下,作者不断致力于基础数学工具和概念的推广和创新运用,挖掘并发挥其潜在功能。本文将通过流体力学、传热学以及最优控制论方面的一些实例来综合介绍个人的心得和体会。     

基于当地笛卡尔架构的无网格方法

提出了一种新的无网格方法,该方法是自动地在每一样点建立一个局部笛卡尔架构并选取相应的邻近点,然后运用全导数公式构造该样点的所有导数,它不需要任何网格单元,所以是彻底的无网格方法．数值算例表明,该方法具有很高的精度．     

A design of novel type superconducting magnet for super—high field functional magnetic resonance imaging by using the harmonic analysis method of magnetic vector potentials

The approach of expanding the magnetic scalar potential in a series of Legendre polynomials is suitable for designing a conventional superconducting magnetic resonance imaging magnet of distributed solenoidal configuration. Whereas the approach of expanding the magnetic vector potential in associated Legendre harmonics is suitable for designing a single-solenoid magnet that has multiple tiers, in which each tier may have multiple layers with different winding lengths. A set of three equations to suppress some of the lowest higher-order harmonics is found. As an example, a 4T single-solenoid magnetic resonance imaging magnet with 4×6 layers of superconducting wires is designed. The degree of homogeneity in the 0.5m diameter sphere volume is better than 5.8 ppm. The same degree of homogeneity is retained after optimal integralization of turns in each correction layer. The ratio B_m/B₀ in the single-solenoid magnet is 30% lower than that in the conventional six-solenoid magnet. This tolerates higher rated superconducting current in the coil. The Lorentz force of the coil in the single-solenoid system is also much lower than in the six-solenoid system. This novel type of magnet possesses significant advantage over conventional magnets, especially when used as a super-high field functional magnetic resonance imaging magnet.     

Aerodynamic design method of cascade profiles based on load and blade thickness distribution

A cascade profile design method was proposed using the aerodynamic load and blade thickness distribution as the design constraints, which were correspondent to the demands from the aerodynamic characteristics and the blade strength. These constraints,together with all the other boundary conditions , were involved in the stationary conditions ofa variational principle , in which the angle-function was employed as the unknown function.The angle-function ( i. e. , the circumferential angular coordinate) was defined in the image plane composed of the stream function coordinate ( circumferential direction ) and streamline coordinate. The solution domain, i.e., the blade-to-blade passage, was transformed into a square in the image plane, while the blade contour was projected to a straight line ; thus, the difficulty of the unknown blade geometry was avoided. The finite element method was employed to establish the calculation code. Applications show that this method can satisfy the design requests on the blade     

Al2O3忆阻器中氧空位对阻值转换性能的影响研究

忆阻器能够在外加电压下实现高阻态与低阻态的转换,在存储器件及仿神经网络计算等方面有着重要的应用。本文通过在Si衬底上制备得到Pt-Al2O3-Pt的金属-绝缘层-金属结构的忆阻器器件,研究了氧空位对阻值转换性能的影响。利用原子层沉积技术工艺控制生长不同氧空位浓度的Al2O3薄膜,测量并比较其Ⅰ—Ⅴ循环曲线,发现仅有在氧空位浓度较高情况下忆阻器才能够实现在高阻态和低阻态之间的转换。本文实验结果表明氧空位对于实现阻值转换性能有着重要的影响,对生长制备忆阻器器件有着重要意义。     

用于正电子断层扫描成像的68Ga标记PM2.5模拟粒子的制备及其活体示踪

将黑色素纳米颗粒(melanin nanoparticle,MNP)经聚乙二醇(polyethylene glycol,PEG)修饰制备得到PEG-MNP,随后通过与放射性的⁶⁸Ga³⁺离子螯合,高标记产率地制备得到⁶⁸Ga-PEG-MNP,标记产物稳定性良好。进一步将⁶⁸Ga-PEG-MNP通过雾化方式制备得到⁶⁸Ga-PEG-MNP PM_2.5(particulate matter 2.5,size<2.5μm)模拟颗粒,其经雾化小鼠吸入体内后,通过正电子断层扫描(positron emission tomography,PET)成像对小鼠进行全身显影,结果可见雾化的⁶⁸Ga-PEG-MNP PM_2.5模拟颗粒可由气管向肺部双叶区域扩散,并滞留于肺。体内的PET成像结果与离体放射自显影结果高度一致。     

ZnO/A1lN/Si(111)薄膜的外延生长和性能研究

用常压金属化学气相沉积法(MOCVD)在Si(111)衬底上制备了马赛克结构ZnO单晶薄膜.引入低温AlN缓冲层以阻止衬底氧化、缓解热失配和晶格失配.薄膜双晶X射线衍射2θ/ω联动扫描只出现了Si(111)、ZnO(000l)及AlN(000l)的衍射峰.ZnO/AlN/Si(111)薄膜C方向晶格常量为0.5195 nm,表明在面方向处于张应力状态;其对称(0002)面和斜对称(1012)面的双晶X射线衍ω摇摆曲线半峰全宽分别为460"和1105";干涉显微镜观察其表面有微裂纹,裂纹密度为20 cm-1;3 μm×3μm范围的原子力显微镜均方根粗糙度为1.5 nm激光实时监测曲线表明薄膜为准二维生长,生长速率4.3μm/h.低温10 K光致发光光谱观察到了薄膜的自由激子、束缚激子发射及它们的声子伴线.所有结果表明,采用金属化学气相沉积法并引入AlN为缓冲层能有效提高Si(111)衬底上ZnO薄膜的质量.     

常压化学气相沉积技术生长ZnO:H薄膜的光学性质

采用常压金属有机物化学气相沉积技术(AP-MOCVD),以二乙基锌(DEZn)为Zn源,去离子水(H2O)为氧源,N2作载气,在外延ZnO薄膜的反应气氛中通入少量氢气,在c-Al2O3衬底上生长出了ZnO∶H薄膜。用X射线双晶衍射和光致发光谱对ZnO∶H薄膜的结晶性能和光学性质进行表征。结果表明,ZnO∶H薄膜(002)和(102)面的Ω扫描半峰全宽分别为46.1 mrad和81.4 mrad,表明该薄膜具有良好的结晶性能;室温下,ZnO∶H薄膜具有较强的紫外光发射(380 nm),在低温10 K光致发光谱中观测到位于3.3630 eV处与氢相关的中性施主束缚激子峰(I4)及其位于3.331 eV处的双电子卫星峰(TES)。采用退火的方法,通过观测I4峰的强度变化,研究了氢在ZnO∶H薄膜中的热稳定性。发现随着退火温度的升高,I4峰的强度逐渐减弱,表明在高温下退火,氢会从ZnO薄膜中逸出。