Diamond kinoform hard X‐ray refractive lenses: design,nanofabrication and testing

Motivated by the anticipated advantageous performance of diamond kinoform refractive lenses for synchrotron X‐ray radiation studies, this report focuses on progress in designing, nanofabricating and testing of their focusing performance. The method involves using lift‐off and plasma etching to reproduce a planar definition of numerically determined kinoform refractive optics. Tests of the focusing action of a diamond kinoform refractive lens at the APS 8‐ID‐I beamline demonstrate angular control of the focal spot.     

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在本文中, 令为一列行为混合随机变量阵列. 本文研究了行为混合随机变量阵列加权和的极限行为, 并且一些新的完全收敛性结果被取得, 这些结果推广和改进了相应的已有定理.     

Polymer-Nanoparticle Composites Composed of Poly(3-hydroxybutyrate-co-3-hydroxyvalerate) and Coated Silver Nanoparticles

The effects of addition of synthesized organic-suspension silver nanoparticles on the crystallization and thermal stability of poly(3-hydroxybutyrate-co-3-hydroxyvalerate) (PHBV) were studied by transmission electron microscopy (TEM), differential scanning calorimetry (DSC), wide-angle X-ray diffraction (XRD), UV-Vis absorption spectroscopy, polarized optical microscopy (POM), and thermal gravimetric analysis (TGA). The TEM images showed the average primary size of the as-synthesized silver nanoparticles, coated with a monolayer of the surfactants consisting of oleic acid and an alkylamine, was about 5 nm with narrow distribution, and that they were uniformly dispersed in n-heptane. PHBV/silver nanocomposites were prepared by melt mixing in an internal mixer and then injection molded into rectangle-shaped specimens by a labscale injection molding device. The coated silver nanoparticles showed a homogenuous dispersion in the PHBV matrix when the content of coated silver nanoparticles was about 1%. Both the DSC and POM data showed the efficient heterogeneous nucleation by the coated silver nanoparticles for facilitating PHBV crystallization. The thermal stability of the PHBV/silver nanocomposites improved with the increase in the content of the coated silver nanoparticles.     

二维分数阶Volterra积分方程的修正block-by-block方法

基于经典block-by-block方法的思想,构造了二维分数阶Volterra积分方程的一个修正block-by-block数值求解格式.该方法的优点在于只需求解u(x1,y),u(x2,y),u(x,y_1)和u(x,y_2),其他未知量均不需要耦合求解.数值算例表明该格式具有较好的逼近性.     

涉及差分算子的亚纯函数的唯一性

本文研究涉及差分算子的亚纯函数的唯一性问题,得到一个唯一性定理:设f是一个级不小于2的有限级整函数,η是非零复数,a(z)是不恒等于0的整函数,满足ρ(a)ρ(f)和λ(f-a)ρ(f).若f-a与Δnηf-a(n=1或2)CM分担0,则f(z)是整数级的,且ρ(a)=1或ρ(a)≥ρ(f)-1,f(z)=a(z)+[Δnηa(z)-a(z)]eA(z),其中A(z)是一个次数和ρ(f)相等的多项式.