一类非奇异H-矩阵判定的新条件

非奇异H-矩阵是在许多领域具有广泛应用的重要矩阵类,但实际判定一个非奇异H-矩阵是十分困难的.在本文中,我们给出了一类关于非奇异H-矩阵新的判定条件,改进了近期的相关结果,并用数值例子说明了文中结果判定范围的更广泛性.     

An optimal rigidity theorem for complete submanifolds in a sphere

It is proved that if M^n is an n-dimensional complete submanifold with parallel mean curvature vector and flat normal bundle in S^n＋p（1）, and if supM S 〈 α（n, H）, where α（n,H）=n＋n^3/2（n-1）H^2-n（n-2）/n（n-1）√n^2H^4＋4（n-1）H^2,then M^n must be the totally urnbilical sphere S^n（1/√1＋H^2）.An example to show that the pinching constant α（n, H） appears optimal is given.     

Influence of AlN buffer layer thickness on structural properties of GaN epilayer grown on Si (111) substrate with AlGaN interlayer

We present the growth of GaN epilayer on Si (111) substrate with a single AlGaN interlayer sandwiched between the GaN epilayer and AlN buffer layer by using the metalorganic chemical vapour deposition. The influence of the AlN buffer layer thickness on structural properties of the GaN epilayer has been investigated by scanning electron microscopy, atomic force microscopy, optical microscopy and high-resolution x-ray diffraction. It is found that an AlN buffer layer with the appropriate thickness plays an important role in increasing compressive strain and improving crystal quality during the growth of AlGaN interlayer, which can introduce a more compressive strain into the subsequent grown GaN layer, and reduce the crack density and threading dislocation density in GaN film.     

光泵铯蒸气激光的动力学模型

建立了一个物理模型描述了光泵铯蒸气激光的动力学过程和激光机理.结合实验参量,经数值求解该模型,定量分析了抽运光参量、缓冲气压和输出镜反射率等对激光输出功率和光光效率产生的影响,得到了与实验基本一致的模拟结果.表明该模型较好地反映了光泵銫蒸气激光的动力学机理和发射过程,为该类激光的优化设计提供了借鉴和参考.     

A note on the behavior of blow-up solutions for one-phase Stefan problems

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奇异摄动问题内罚间断有限方法的最优阶一致收敛性分析

本文在Bakhvalov-Shishkin网格上分析了采用高次元的内罚间断有限元方法求解一维对流扩散型奇异摄动问题的最优阶一致收敛性. 取k(k≥1)次分片多项式和网格剖分单元数为N时,在能量范数度量下, Bakhvalov-Shishkin网格上可获得O(N^-k)的一致误差估计. 在数值算例部分对理论分析结果进行了验证.     

A novel low-swing interconnect optimization model with delay and bandwidth constraints

Interconnect power and repeater area are important in the interconnect optimization of nanometer scale integrated circuits.Based on the RLC interconnect delay model,by wire sizing,wire spacing and adopting low-swing interconnect technology,this paper proposed a power-area optimization model considering delay and bandwidth constraints simultaneously.The optimized model is verified based on 65-nm and 90-nm complementary metal-oxide semiconductor(CMOS) interconnect parameters.The verified results show that averages of 36% of interconnect power and 26% of repeater area can be saved under 65-nm CMOS process.The proposed model is especially suitable for the computer-aided design of nanometer scale systems-on-chip.     

利用恒星辐射测量整层大气透过率的多目标星定标

介绍了整层大气透过率测量仪及其测量原理和Langley-Plot定标方法,提出了基于恒星整层大气透过率仪测量大气透过率的多目标星定标方法,并分别进行了K,A光谱类型恒星定标试验,得到了基于K,A两种光谱类型恒星辐射的定标值。对多目标星定标方法与单颗恒星的Langley-Plot定标方法进行了对比实验,验证了多目标星定标方法的合理性与准确性。当实时测量同类型的恒星辐射整层大气透过率时,就可以根据对应的定标参数进行测量研究。     

基于迭代修正的液晶相控阵激光雷达波控数据获取

分析了影响液晶相控阵波控数据获取的几个关键因素,在此基础上通过计算期望相位面与实际相位面的相位差,提出一种基于迭代修正的波控数据获取方法,该方法可通过改变加载在液晶阵列上的参考电压或改变参考相位面实现。讨论了算法关键参数的选择。通过仿真进一步研究了液晶特性曲线范围和高斯初始相位对波控数据获取的影响。仿真结果表明:该方法能获得比较准确的波控数据;液晶特性曲线范围对波控数据的准确获取非常重要,当曲线范围较大时,液晶相控阵可补偿高斯光束引入相位的影响。     

Dome效应对四孔大气相干长度仪系统性能的影响

以水平方向距仪器1 000 m的卤钨灯为光源,通过同步对比实验探究了两台四孔大气相干长度仪的系统性能。实验结果表明,由它们测得的大气相干长度的大小和总体变化趋势能够较好吻合,相关性系数均在0.94以上,具有较好的一致性。在此基础上,进一步研究了Dome效应对该系统性能的影响。该效应的影响主要表现在使大气相干长度变小,其强度则由系统沿光路方向移动的距离决定。当移动距离小于15 cm时,Dome效应较弱,不会对实验结果产生明显影响;在距离从15 cm增至55 cm的过程中,其强度不断增加,并在55 cm处达到最强,此后则不再随距离的增加而变化。在整个实验过程中,实验结果的相关系数始终在0.9以上,即Dome效应对大气相干长度的总体变化趋势没有明显影响。