Super cyclically edge-connected vertex-transitive graphs of girth at least 5

A cyclic edge-cut of a graph G is an edge set, the removal of which separates two cycles. If G has a cyclic edge-cut, then it is called cyclically separable. We call a cyclically separable graph super cyclically edge-connected, in short, super-λc, if the removal of any minimum cyclic edge-cut results in a component which is a shortest cycle. In [Zhang, Z., Wang, B.: Super cyclically edge-connected transitive graphs. J. Combin. Optim., 22, 549-562 (2011)], it is proved that a connected vertex-transitive graph is super-λc if G has minimum degree at least 4 and girth at least 6, and the authors also presented a class of nonsuper-λc graphs which have degree 4 and girth 5. In this paper, a characterization of k (k≥4)-regular vertex-transitive nonsuper-λc graphs of girth 5 is given. Using this, we classify all k (k≥4)-regular nonsuper-λc Cayley graphs of girth 5, and construct the first infinite family of nonsuper-λc vertex-transitive non-Cayley graphs.     

加边与删边运算下图的亏格分布

设(G,u,v)是以u和u为根的双根连通图,用边e连接点u和v,所得之图记为G+E.Gross对根u和v的度均为2的情形,给出了G+e的亏格分布与(G,u,v)的部分亏格分布之间的一个关系.本文推广到有一个根的度可以任意大的情形,并由(G,u,v)的部分亏格分布导出了G+e的亏格分布.     

图的D(2)-点可区别一般边染色

引入了图的D(β)-点可区别一般边染色,并对β=2的情形做了讨论,得到了路,圈,星,双星,扇,轮的D(2)-点可区别一般边色数,对于2距离色数等于3及4的图的D(2)-点可区别一般边色数做了探讨,特别研究了具有稳定2距离4着色的图的D(2)-点可区别一般边染色.文中提出了一个相关猜想和一个公开问题.     

图的符号边控制数

图的符号边控制数有着许多重要的应用背景.已知它的计算是NP-完全问题,因而确定其精确值有重要意义.本文确定了图F*n+1、H n和P*n的符号边控制数.     

基于倾斜刃边法航空相机像移的调制传递函数测量

由于航空相机拍照时存在像移,会导致成像质量下降,因此在航空相机中必须有像移补偿机构。目前一般采用主观判据,即通过人眼判别是否存在像移以及像移量的大小,来评价像移补偿系统的性能是否达到设计要求。主观判据受人的主观性影响较大,而且只能定性评价。为了建立航空相机成像质量与像移补偿系统其他指标之间的直接关系,提出使用倾斜刃边法测量航空相机像移的调制传递函数(MTF)。设计了相应的实验,实验中通过转台的转动模拟航空相机的扫描像移,分别通过倾斜刃边法测量像移的MTF和通过理论模型计算像移的MTF。实验结果表明,在空间频率为0.10cycle/pixel时,转台以3、5、8°/s转动时,两种方法得到的MTF之间的误差百分比分别为0.77%、1.15%、4.91%,进而证明了该方法的有效性。     

Fabrication of GaN-based LEDs with 22° undercut sidewalls by inductively coupled plasma reactive ion etching＊

We use a simple and controllable method to fabricate GaN-based light-emitting diodes （LEDs） with 22° undercut sidewalls by the successful implementation of the inductively coupled plasma reactive ion etching （ICP-RIE）. Our exper- iment results show that the output powers of the LEDs with 22° undercut sidewalls are 34.8 rnW under a 20-mA current injection, 6.75% higher than 32.6 mW, the output powers of the conventional LEDs under the same current injection.     

对称缺陷复合光子晶体的偏振特性研究

用传输矩阵法研究了在不同入射角时对称缺陷复合光子晶体[D(AB)mD]2结构s偏振和p偏振的光传输特性。计算结果表明:对称缺陷复合光子晶体[D(AB)mD]2结构中的禁带出现两个完全共振透射峰。随着入射角的增大,s光和p光的带隙中心和透射峰都向高频方向移动,s光的带宽增大,p光的带宽减小,但带隙中心始终相同。通过微小地改变入射角可改变透射峰的频率和偏振态。此结果为该结构实现双通道方位开关和偏振器提供了理论依据,也为拓宽该结构带隙和得到所需要的偏振光提供了理论基础。     

空间遥感大气痕量气体临边探测仪设计与研究

为满足空间大气痕量气体探测的迫切需求,设计并研制了一个空间遥感大气痕量气体临边探测仪原型样机.该样机光学系统由离轴抛物面望远镜和改进型Czerny-Turner光谱仪组成,工作波段为380~570 nm.在工作波段内,点列图半径的均方根值均小于9 μm,校正了像散,整个工作波段内同时获得了良好的成像质量.原型样机质量12 kg,体积420×350×200 mm³,空间像元分辨力0.6 km,光谱分辨力0.86 nm,各项指标均满足要求.利用临边探测仪原型样机进行了外场观测试验,外场观测光谱数据与模拟光谱数据进行了比对,二者具有很好的一致性,表明大气痕量气体临边探测仪功能和性能良好,满足大气痕量气体探测的应用要求.     

250 keV He+ 离子注入钽酸锂改性研究

室温下,将能量为250 keV He+ 离子注入z 切钽酸锂单晶,注量范围5.0x1014~5.0x1016 He+/cm2,应用三维轮廓仪、X射线衍射(XRD)、紫外可见(UV-Vis ) 光学吸收谱对未注入和注入样品进行了表征和分析。分析结果表明,在注量达到5.0x1016He+/cm2 时,样品表面出现大量凸起条纹,同时晶格沿着[001] 方向出现明显肿胀,吸收边则表现出明显的注量相关性。注入样品在空气中放置60 d后,最高注量的样品表面原来凸起的条纹变为细长的裂纹,晶格应变及光学吸收边均出现较大的恢复。讨论了样品表面形貌、晶格应变和光学吸收边与He 行为的关系。The effects of 250 keV He + implantation in the fluence from 5.0x1014 to 5.0x1016 He+/cm2 on lithium tantalate at room temperature were investigated by 3D surface profiler, XRD and UV-Vis optical absorption spectroscopies.The experimental results show that a large number of raised stripes appear on the surface of the sample and the significant lattice swelling occurs along the direction [ 001 ] at the fluence of 5.0x1016 He+/cm2. The dependence of changes absorption edge on the fluences was revealed. After the samples had been exposed to the air for 60 days, the raised stripes on the surface have evolved into narrow cracks. Furthermore, the lattice strain and the optical absorption edge has also recovered dramatically. The relationship between surface morphology, lattice strain, optical absorption edge and behaviorof He-ions was discussed.     

彩色大面阵航空测绘相机前向像移补偿分析及误差纠正

为了提高彩色大面阵航空测绘相机的成像分辨率和测绘精度,对其前向像移补偿的可行性进行了分析,并设计了前向像移补偿机构。根据航空成像的中心投影模型,研究了前向像移补偿下航空测绘相机内、外方位元素的变化对成像过程的影响,证明了前向像移补偿的可行性;设计了一套基于等径共轭凸轮机构的前向像移补偿机构,并分析了各种误差因素对测绘精度的影响;提出了基于仿射变换的误差纠正方法。实验结果表明,提出的前向像移补偿方法正确,机构引入误差的纠正精度可以达到0.001mm。