Light scattering of nanocrystalline TiO2 film used in dye-sensitized solar cells

This paper studies the light scattering and adsorption of nanocrystalline TiO2 porous films used in dye-sensitized solar cells composed of anatase and/or rutile particles by using an optical four-flux radiative transfer model. These light properties are difficult to measure directly on the functioning solar cells and they can not be calculated easily from the first-principle computational or quantitative theoretical evaluations. These simulation results indicate that the light scattering of 1 25 nm TiO2 particles is negligible, but it is effective in the range of 80 and 180 nm. A suitable mixture of small particles （10 nm radius）, which are resulted in a large effective surface, and of larger particles （150 nm radius）, which are effective light scatterers, have the potential to enhance solar absorption significantly. The futile crystals have a larger refractive index and thus the light harvest of the mixtures of such larger rutile and relatively small anatase particles is improved in comparison with that of pure anatase films. The light absorption of the 10μm double-layered films is also examined. A maximal light absorption of double-layered film is gotten when the thickness of the first layer of 10 urn-sized anatase particles is comparable to that of the second larger rutile layer.     

Large deviations for heavy-tailed random sums of independent random variables with dominatedly varying tails

We prove large deviation results on the partial and random sums Sn = ∑i=1n Xi,n≥1; S(t) = ∑i=1N(t) Xi, t≥0, where {N(t);t≥0} are non-negative integer-valued random variables and {Xn;n≥1} are independent non-negative random variables with distribution, Fn, of Xn, independent of {N(t); t≥0}. Special attention is paid to the distribution of dominated variation.     

低串扰的多波长光纤光栅色散补偿器

分析了光纤光栅色散补偿系统中的串扰，并比较了几种常用的多波长光纤光栅色散补偿器的串扰特性，结合串联的窄带光纤光栅和取样光纤光栅的优点，提出一种抑制光纤光栅色散补偿系统串扰的方法.它通过在邻近信道间引入随机时延差，既能改善取样光纤光栅的线性串扰特性，又能抑制交叉相位调制效应和四波混频等非线性串扰.使用该方法可以得到具有低串扰的多波长光纤光栅色散补偿器.     

光网络RWA中一种建立在Dijkstras和FJ算法的新模型

随着IP业务井喷式的爆发,现在的宽带容量越来越面临巨大的压力。网络容量必须跟上这一需求,而WDM技术恰好能利用光纤的巨大带宽,满足这一要求,并能极大降低传输数字信号的代价。WDM全光网络将得到极大的应用。RWA问题一直是WDM中的重要问题,因为选择是否恰当直接关系到网络的性能,介绍一种基于FJ思想的新思路,并利用他修改权重,他既能减少网络阻塞率,又能合理分配网络资源,起到优化网络的作用。     

First-Principles Prediction of High-Pressure Phase of CaC6

The lattice dynamics of rhombohedral GaG6 is studied as a function orpressure to probe Its high pressure phase with low superconducting transition temperature using the density functional liner-response theory. The pressureinduced phase transition in CaC6 is attributable to the softening transverse acoustic （TA） phonon mode at the zone boundary X （0.5, 0.0, 0.5） point. The high pressure phase is then explored by performing fully structural optimization in the supercell which accommodates the atomic displacements corresponding to the eigenvectors of the unstable mode of TA（X）. The high-pressure phase is predicted to be a monoclinic unit cell with space group P21/m.     

Realization of an All-Fibre Self-Organization Intra-Cavity Coherent Erbium-Doped Fibre Laser

An intra-cavity coherent coupling Michelson Er-doped fibre （EDF） laser （MCEDFL） is proposed and demonstrated. Characteristics of the MCEDFL are investigated. It is found that the MCEDFL with a polarizer can be coherent combined effectively. By the experiment based on fibre Bragg gratings （FBGs） with different reflectivity, we find that the reflectivity of the FBG play a vital role in improving the performance of the MCEDFL. This outcome adequately shows many favourable features, such as high efficiency, easy operation, and simple all-fibre configuration.     

联想让思维展翅飞翔

美国数学家波利亚在《怎样解题》一书中,提出了一个解题计划表,其中有一个重要的环节是联想.联想是我们能否顺利解决问题的桥梁,它是一种重要的思维形式.包括两种情况:一种“横向联系”,把处于不同知识块的知识联系在一起,这种思维形式有利于提高我们的思维的灵活性,也有利于我们把不同的数学知识融会贯通.联想的另一种形式,是“纵向联系”.以逻辑推理能力和运算能力为基础,将一个数学问题多次转化成另一个容易解决的数学问题,这种思维形式有利于提高思维的深刻性.横向联想,让我们的思维插上飞翔的翅膀,我们能飞得更高更远更轻盈灵活;纵向联想,能让我们的思维更加深刻,让我们的数学素养更加深厚.     

重尾β混合随机变量序列的大偏差

设{X_n; n≥1}是重尾平稳非负随机变量序列, 研究其部分和 S_n=X₁+X₂+…+X_n的对数渐近性质. 对于适当的x, 在混合条件下, 给出了估计P(Sn>n^x)≈n^−αx+1, 其中α是特定的参数. 验证了Gantert提出的相关的猜想, 并且证明了所谓的上确界大偏差原理.     

N个异结构混沌系统的环链耦合同步

提出了一种通过环链耦合实现N个异结构混沌系统同步的方法.以New系统、Chen系统、Lü系统、Lorenz系统和Rssler系统作为典型的例子,验证了这种同步控制方法的有效性.利用Liapunov稳定性定理,构造控制器的具体形式,并确定了耦合系数的取值范围.仿真模拟结果表明,在控制器的作用下,选择适当的耦合系数值,可以同时使N个异结构混沌系统达到完全同步.