21世纪最具潜力的新型带隙材料——声子晶体

半导体发展中遇到的极大障碍,使许多研究人员开始研究光子晶体。然而,声子晶体比光子晶体具有更丰富的物理内涵,它是一种新型声学功能带隙材料。研究声子晶体的重要意义在于其广阔的应用前景,而且在研究过程中,还可能发现新现象和新规律,进而促进物理学的发展。一、什么是声子晶体声子晶体的概念诞生于20世纪90年代,是仿照光子晶体的概念而命名的。我们都知道,具有光子禁带的周期性电介质结构功能材料称为光子晶体,光子能量落在光子禁带中的光波将被禁止,不能在光子晶体中传播。通过对光子晶体周期结构及其缺陷进行设计,可以人为地调控光子…     

Origin of the 420 nm Absorption Band and Effect of Doping Fluorine in PbWO4 Crystals

The electronic structures for three types of PbW04 (PWO) crystals, the perfect PWO, the PWO containing lead vacancy (PWO-Vpb) and fluorine doped PWO crystal (F^-：PWO), are systematically studied within the framework of density functional theory. The computational results show that the Pb 6s state situates below the valence band so that Pb^2 ions are unable to trap holes forming Pb^3 or Pb^4 to compensate for VPb^2-. The hole-trappers in PWO-Vpb are O^2- ions. Two of the longer-bond O^2- ions share a hole forming O2^3-, and four of the longer-bond oxygen ions trap two holes forming an associated color centre [O2^3--Vpb-O2^3-], which may be the origin of the 42Onto absorption band. It is also concluded that the doping of F^- would reduce the band gap and F^- ions substituting for O^2- can effectively restrict the formation of [O2^3--Vpb-O2^3-] and weaken the 42Onm absorption band and hence enhance the scintillation property of PWO.     

符号空间的拟移位和Moebius带上的奇怪吸引子

给出了双边符号空间上的一种新的拟移位映射，得到了它与传统的移位映射拓扑共轭．类似Smale马蹄，对这种拟移位映射给出了一个模型，即在Moebius带上给出一类映射．同时刻划了这类映射的吸引子的结构及动力学行为．     

Local Prediction of Chaotic Time Series Based on Support Vector Machine

Based on phase space delay-coordinate reconstruction of a chaotic dynamics system, we propose a local prediction of chaotic time series using a support vector machine （SVM） to overcome the shortcomings of traditional local prediction methods. The simulation results show that the performance of this proposed predictor for making onestep and multi-step prediction is superior to that of the traditional local linear prediction method and global SVM method. In addition, it is significant that its prediction performance is insensitive to the selection of embedding dimension and the number of nearest neighbours, so the satisfying results can be achieved even if we do not know the optimal embedding dimension and how to select the number of nearest neighbours.     

Theoretical Study on the Rotational Bands and Shape Coexistence of^179，181，183Au in the Particle-Triaxial-Rotor Model

We perform a series of theoretical calculations and investigation for nuclei 179，181，183Au in the particle-triaxialrotor model with variable moment of inertia. The calculated energy spectra in^179,181,183Au agree well with the experimental data globally. The obtained results indicate that the nuclei^179,181,183Au have prolate deformation and involve shape coexistence with different deformation parameters in different bands. The main configuration of bands 1, 2, 3 and 5 in these nuclei are identified as [541]1/2^- (πh9/2, α = 1/2), [541]1/2- (πh9/2, α= -1/2),[530] 1/2- (πf7/2) and [660] 1/2^ (πi13/2), respectively.     

A～190区超形变带自旋指定的再讨论(Ⅰ)偶偶核

在γ跃迁能量中扣除了ΔI=4分岔的影响后,根据ab公式,系统讨论了A～190区偶偶核超形变带,给出了绝大多数超形变带的自旋值. 部分超形变带的自旋指定值,不同于其它方法得到的结果.     

一类常微分方程组的紧支撑样条小波方法探讨

应用三次紧支撑样条小波插值函数得到了求一类常微分方程组数值解的隐式公式,并求得到其局部截断误差为O(-h5).在此基础上给出1个显式校正求解公式,并讨论得到其局部截断误差为O(-h4).     

Identical Superdeformed Bands in ^171Ta and ^173Re

The rotational band built on the i13/2 proton [660,1/2] Nilsson state in ^173Re is proven to be identical to that in ^171Ta.The close similarity of the two bands in ^171Ta and ^173Re suggests that the ^173Re nucleus with the odd proton based on the i13/2 [660,1/2] Nilsson state may be triaxially superdeformed.     

146Ce核的八级形变带和准γ带

通过测量²⁵²Cf自发裂变所产生的瞬发γ射线, 对¹⁴⁶Ce核的高自旋结构进行了重新研究, 结果更新了以前报道的能级纲图, 把八级形变集体带扩展到更高的自旋, 并且重新构建了可能的准γ带结构. 此外, 用反射不对称壳模型(RASM)对¹⁴⁶Ce核的八级形变带进行了计算, 低自旋处的计算结果与实验数据符合得很好.     

带对流的稳态Stefan问题的有限元逼近

关于带有对流情形的稳态Stefan问题,其中假设液相部分的流动由Stokes方程确定,Canon,DiBennedetto,Knightly曾作过理论研究.本文将讨论其有限元逼近问题,并且得到了在合理正则性假设下的误差估计.