Propagation of Lorentz and Lorentz-Gauss beams through an apertured fractional Fourier transform optical system

By expanding the hard-aperture function into a finite sum of complex Gaussian functions, we derive approximate analytical formulae for Lorentz and Lorentz-Gauss beams propagating through an apertured fractional Fourier transform (FRT) optical system. As an application example, properties of a Lorentz-Gauss beam in the FRT plane after propagating through a squarely or annularly apertured FRT optical system are studied numerically. The results obtained using the approximate analytical formula are in good agreement with those obtained using numerical integral calculation. The FRT optical system provides a convenient way for laser beam shaping.     

Extracellular biosynthesis of monodispersed gold nanoparticles by a SAM capping route

Monodispersed gold nanoparticles capped with a self-assembled monolayer of dodecanethiol were biosynthesized extracellularly by an efficient, simple, and environmental friendly procedure, which involved the use of Bacillus megatherium D01 as the reducing agent and the use of dodecanethiol as the capping ligand at 26 °C. The kinetics of gold nanoparticle formation was followed by transmission electron microscope (TEM) and UV-vis spectroscopy. It was shown that reaction time was an important parameter in controlling the morphology of gold nanoparticles. The effect of thiol on the shape, size, and dispersity of gold nanoparticles was also studied. The results showed that the presence of thiol during the biosynthesis could induce the formation of small size gold nanoparticles (<2.5 nm), hold the shape of spherical nanoparticles, and promote the monodispersity of nanoparticles. Through the modulation of reaction time and the use of thiol, monodispersed spherical gold nanoparticles capped with thiol of 1.9 ± 0.8 nm size were formed by using Bacillus megatherium D01.     

一类关于浮游生物的时滞微分模型的局部Hopf分岔分析

主要研究时滞Lotka-Volterra模型,提出了关于浮游生物的两种群相互有增强作用的微分方程模型.将时滞τ作为分岔参量,讨论了正平衡点及分岔的存在性.进一步应用规范理论与中心流形定理,判断了分岔的方向与稳定性,并给出了实例与数值模拟.     

区域治理视野下资源枯竭型城市的转型问题刍议——以江西省萍乡市为例

作为一种治理在区域上的运用,区域治理的理论及其治理策略可为资源枯竭型城市的转型提供相应的路径启发和策略指导,江西省萍乡市转型以来为应对区域治理方面的诸多挑战,探索出了对接型的区域合作模式和生态型的区域治理机制等成功经验。     

Nd_3Fe_(29-x)Ti_x(x=1.3～2.0)化合物的成相范围及其温度特性(英文)

用热磁测量和X -光衍射谱研究了Nd3Fe2 9-xTix 化合物的成相范围及其温度特性 .研究发现 ,x =1.3～ 2 .0范围内的所有化合物都成单相 ,其晶体结构具有A2 /m空间群的单斜结构 .随着Ti含量的增加 ,晶格参数a ,b ,c几乎不变 ,而晶胞体积V略微增加 .每个样品都出现了自旋重取向现象 ,但自旋重取向温度Tsr和居里温度TC 几乎不随Ti的含量而改变 .     

我国足球运动管理体制改革研究

通过对我国足球运动管理体制改革形成的背景、历程及我国社会结构转型对足球管理体制的影响进行分析,揭示我国足球管理体制所面临的问题和矛盾,并从经济学、管理学、法学、社会学等诸学科的角度,探讨建立"多体制并行" 的我国足球运动管理体制改革设想.     

Synthesis of mikto‐topology star polymer containing one cyclic arm

Well‐defined mikto‐topology star polystyrene composed of one cyclic arm and four linear arms was synthesized by a combination of atom transfer radical polymerization (ATRP) and Cu‐catalyzed azide‐alkyne cycloaddition (CuAAC) click reaction. First, the bromine‐alkyne α,ω‐linear polystyrenes containing four hydroxyl groups protected with acetone‐based ketal groups were synthesized by ATRP of styrene using a designed initiator. Then, the bromine end‐group was converted to the azide and the linear polystyrene was cyclized intra‐molecularly by the CuAAC reaction. The four hydroxyl groups were released by deprotection and then esterified with 2‐bromoisobutyryl bromide to produce a cyclic polymer bearing four ATRP initiating units. By subsequent ATRP of styrene to grow linear polymers with the cyclic polystyrene as a macroinitiator, the mikto‐topology star polymers were prepared. © 2012 Wiley Periodicals, Inc. J Polym Sci Part A: Polym Chem, 2012     

Synthesis of SnO_2 nanorods from aqueous solution:The effect of preparation conditions on the formed patterns

<正>SnO_2 nanorods were deposited on the Si substrates in an aqueous solution containing both SnCl_4 and CO(NH_2)_2.It is found that different self-assembled patterns of SnO_2 nanorods can be obtained by changing the deposition conditions such as the molar ratio of CO(NH_2)_2 to SnCl_4 and the pretreatment of the substrate.Scattered SnO_2 nanorods,for example,can be changed into flower-like patterns when the molar ratio of CO(NH_2)_2 to SnCl_4 is raised,and well-aligned nanorod arrays can be formed when the pretreatment of the substrate is changed.In addition,some interesting patterns,e.g.tree-like patterns,can also be observed.