一类联图的距离谱半径以及盖理论（英文）

令X=(n₁,n₂,…,n_t),Y=(m₁,m₂,…,m_t)是两个t维递减序列.如果对所有的j,1≤j≤t,都有∑_i=1~j、n_i≥∑_i=1~j m_i以及∑_i=1~t n_i=∑_i=1~t m_i,则称X可盖Y,记作X■Y.如果X≠Y,则记作X■Y.本文考虑联图G(n₁,n₂,…,n_t;a)=(K_n1∪_n2∪…∪K_nt)∨K_a的谱半径,这里n₁+n₂+…+n_t+a=n,(n₁,n     

多层介质膜偏振无关光栅的研制

介绍了一种应用于光纤激光光谱合束的高衍射效率多层介质膜偏振无关光栅的设计及制作,给出了设计参数、制作流程和最终制作的偏振无关光栅的测量结果,在1.044~1.084 m波长范围内,实验测得的TE偏振光、TM偏振光的平均衍射效率分别为89.7%,93.8%。     

Ni(OH)_2电极材料的XRD和Raman光谱表征

用 XRD和 Raman光谱等方法对几种典型球形 Ni( OH) 2 电极材料进行了表征 ,并分析了材料的表观形貌、掺杂元素和微观结构等对其充放电性能的影响 .结果表明 ,有较好填充性和充放电性能 Ni( OH) 2 电极材料所具有的特征为 ,颗粒的球形好且结晶完好 ,晶粒较小 ,较大的晶格参数 c,并在 51 0和 3596cm- 1 处可以生成 Raman光谱峰 ;而 XRD和 Raman光谱方法则是评价 Ni( OH) 2 电极材料性能的有效手段 .     

具有算子系数的微分算子新的Ambarzumyan定理(英文)

有限区间上具有Neumann边界条件的Sturm-Liouville问题的谱可以唯一确定势函数,这就是经典的Ambarzumyan定理.本文将经典的Ambarzumyan定理推广到有限区间上具有算子系数的二阶与四阶微分算子中.     

基于改进的分块压缩感知红外图像重建

针对基于压缩感知理论的红外图像重建问题,提出一种基于改进的分块压缩感知红外图像重建方法。该方法首先对原始红外图像进行分块,并对每个子块用相同的观测矩阵进行随机观测,获得少量的观测数据;然后利用谱图小波变换优异的稀疏特性,将其引入平滑投影Landweber算法进行迭代优化重建,同时采用混合中值滤波进行处理以增加图像的平滑度和减少块伪影,最后输出满足要求的高质量红外图像。实验结果表明,在相同采样率下,该方法对于不同类型红外图像的重建性能均优于目前广为采用的一些小波压缩感知方法,可获得更高质量的红外图像。     

一维光子晶体热辐射光谱控制模拟研究

将一维金属-介质光子晶体应用于热辐射光谱控制,基于电磁波理论建立了光谱能量关系和光谱特性计算方法.采用钨(W)和二氧化硅(SiO2)设计了一维金属-介质光子晶体,从麦克斯韦方程组出发,研究了该一维结构的光谱特性.研究结果表明,该结构能够有效地结合材料自身光谱属性和光子晶体的光谱控制特性实现热辐射光谱特性的选择控制,可被用于热光伏系统实现热辐射光谱控制.     

掺杂偶氮化合物的PMMA光折变聚合物的拉曼光谱分析

光折变聚合物具有良好的光折变效应,采用以惰性聚合物PMMA为基体,掺杂偶氮化合物染料的光折变聚合物具有较好的光学非线性和稳定性。文章主要介绍使用激光拉曼光谱仪对合成聚合物的各单体和聚合物薄膜进行拉曼光谱扫描,对比分析各个单体成分的特征谱峰与聚合物薄膜特征谱峰,肯定了实验中得到的光折变聚合物薄膜与理论上要求得到的一致性。     

Cycle Range Distributions for Gaussian Processes Exact and Approximative Results

Wave cycles, i.e. pairs of local maxima and minima, play an important role in many engineering fields. Many cycle definitions are used for specific purposes, such as crest–trough cycles in wave studies in ocean engineering and rainflow cycles for fatigue life predicition in mechanical engineering. The simplest cycle, that of a pair of local maximum and the following local minimum is also of interest as a basis for the study of more complicated cycles. This paper presents and illustrates modern computational tools for the analysis of different cycle distributions for stationary Gaussian processes with general spectrum. It is shown that numerically exact but slow methods will produce distributions in almost complete agreement with simulated data, but also that approximate and quick methods work well in most cases. Of special interest is the dependence relation between the cycle average and the cycle range for the simple maximum–minimum cycle and its implication for the range distribution. It is observed that for a Gaussian process with rectangular box spectrum, these quantities are almost independent and that the range is not far from a Rayleigh distribution. It will also be shown that had there been a Gaussian process where exact independence hold then the range would have had an exact Rayleigh distribution. Unfortunately no such Gaussian process exists.This revised version was published online in March 2005 with corrections to the cover date.     

On Weierstrass semigroups and sets: a review with new results

In this work we present a survey of the main results in the theory of Weierstrass semigroups at several points, with special attention to the determination of bounds for the cardinality of its set of gaps. We also review results on applications to the theory of error correcting codes. We then recall a generalization of the concept of Weierstrass semigroup, which is the Weierstrass set associated to a linear system and several points. We finish by presenting new results on this Weierstrass set, including some on the cardinality of its set of gaps.      

Spectral Method for Nonlinear Stochastic Partial Differential Equations of Elliptic Type

This paper is concerned with the numerical approximations of semi-linear stochastic partial differential equations of elliptic type in multi-dimensions. Convergence analysis and error estimates are presented for the numerical solutions based on the spectral method. Numerical results demonstrate the good performance of the spectral method.