FDTD法对二维正方格子光子晶体带隙的数值计算

通过optiFDTD模拟软件对二维椭圆柱构造的正方格子光子晶体的禁带特性进行了数值模拟。分别研究了在空气中椭圆介质(Ge,Si,GaAs)柱和在介质(Ge,Si,GaAs)中椭圆空气柱构造的二维正方格子光子晶体中椭圆柱的横轴半径和纵轴半径的大小,以及椭圆柱的不同旋转角度对光子禁带的影响;并计算出了在上述两种情况下的空气和介质中的最优结构参数。     

On the Cauchy problem for the fractional drift-diffusion system in critical Besov spaces

In this paper, we establish global well-posedness and asymptotic stability of mild solutions for the Cauchy problem of the fractional drift-diffusion system with small initial data in critical Besov spaces. The regularizing-decay rate estimates of mild solutions are also proved, which imply that mild solutions are analytic in space variables.     

珠心算训练儿童枕叶激活状态的fMRI研究

目的是应用功能磁共振成像(fMRI)探讨接受过珠心算训练的儿童与未接受过珠心算训练儿童(对照组)在执行不同计算任务时枕叶的激活状态,从而明确枕叶在珠心算中可能的作用机制。方法分别安排接受过3年珠心算训练的儿童(16名)和未经训练的对照组儿童(16名)执行加、减、乘、除运算任务及数物对照实验,同时进行fMRI检查,应用SPM2软件对原始图像进行数据处理,对相关脑区进行定位,重点研究枕叶的激活状态。结果珠心算训练组与未训练组儿童在计算过程中枕叶的激活有所不同,训练组儿童双侧枕叶均可见激活,主要为楔叶的激活,也可见舌回的激活,未训练组儿童主要为舌回激活。两组儿童不同运算枕叶激活范围差异具有统计学意义(P<0.01)。结论枕叶在珠心算中参与了视觉空间策略的处理过程,枕叶的激活状态可能与其神经机制有关。     

有限域上长为2mpn 的负循环码

设F_q 是奇数阶有限域. 本文主要借助X^2mpn+1 在F_q 上的不可约因式分解来确定有限域F_q上所有长为2^mpⁿ 的负循环码和自对偶的负循环码的生成多项式, 这里p 是q-1 的奇素因子, m 和n是正整数.     

学习Lebesgue可测函数须注意的一个问题

对于(-∞,+∞)上的Lebesgue可测函数f(t),利用广义实数集瓗上的运算法则,通过构造反例,指出由"任给t1,t2∈(-∞,+∞),有f(t1+t2)=f(t1)+f(t2)",并不能得出"存在常数C,使得f(t)=Ct".为使该结论成立,只需增加条件"f(t)在某点处取实值".     

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A three-channel far-infrared (FIR) HCN laser interferometer has been developed to measure the line averaged electron density on EAST tokamak. Detectors with the properties of high sensitivity, high signal-to-noise ratio, small volume and stability are needed in interferometer device. The application of new Schottky barrier diode (SBD) detector has made the density signal and the signal-to-noise ratio greatly improved. The disturbance caused by the lower hybrid wave can be eliminated by using double copper foil shield and narrow band pass filter. The improved detectors have worked well during the long pulse discharge and H mode discharge.     

Exploration of amphoteric and negative refraction imaging of acoustic sources via active metamaterials

The present work describes the design of three flat superlens structures for acoustic source imaging and explores an active acoustic metamaterial (AAM) to realise such a design. The first two lenses are constructed via the coordinate transform method (CTM), and their constituent materials are anisotropic. The third lens consists of a material that has both a negative density and a negative bulk modulus. In these lenses, the quality of the images is “clear” and sharp; thus, the diffraction limit of classical lenses is overcome. Finally, a multi-control strategy is developed to achieve the desired parameters and to eliminate coupling effects in the AAM.     

Interplay between superconductivity and pseudogap state in bilayer cuprate superconductors

The interplay between the superconducting gap and normal-state pseudogap in the bilayer cuprate superconductors is studied based on the kinetic energy driven superconducting mechanism. It is shown that the charge carrier interaction directly from the interlayer coherent hopping in the kinetic energy by exchanging spin excitations does not provide the contribution to the normal-state pseudogap in the particle–hole channel and superconducting gap in the particle–particle channel, while only the charge carrier interaction directly from the intralayer hopping in the kinetic energy by exchanging spin excitations induces the normal-state pseudogap in the particle–hole channel and superconducting gap in the particle–particle channel, and then the two-gap behavior is a universal feature for the single layer and bilayer cuprate superconductors.     

Power Variation of Subfractional Brownian Motion and Application

In this paper, we consider the power variation of subfractional Brownian motion. As an application, we introduce a class of estimators for the index of a subfractional Brownian motion and show that they are strongly consistent.     

求解带指数凹多乘积规划问题的对偶界方法

对一类带指数的凹多乘积规划问题,给出一种求其全局最优解的分支定界算法.先利用对数函数性质将原问题进行等价转化,对于等价问题,利用Lagrange弱对偶定理将分支定界算法中关键的定下界操作转化为易于求解的线性规划问题,且这些线性规划的规模不随迭代而变化,利于编程计算.同时,分支操作采用单纯形作为分割元素,并使用对分法,既保证穷举性,又使得线性规划的规模更小.最后给出算法的收敛性证明和数值实验结果.