路与完全图的笛卡尔积图和广义图K(n,m)的关联色数

Richrd A.Brualdi和J.Quinn Massey在[1]中引入了图的关联着色概念,并且提出了关联着色猜想,即每一个图G都可以用△(G)+2种色正常关联着色.B.Guiduli[2]说明关联着色的概念是I.Algor和N.Alon[3]提出的有向星荫度的一个特殊情况,并证实[1]的关联着色猜想是错的,给出图G的关联色数的一个新的上界是△(G)+O(Log(△G)).[4]确定了某些特殊图类的关联色数.本文给出了路和完全图的笛卡尔积图的关联色数,而且利用此结果又确定了完全图Kn的广义图K(n,m)的关联色数.     

X射线天文望远镜的进展

综述了近年来X射线天文望远镜(如准直型望远镜、编码孔径望远镜、正入射周期多层膜望远镜、掠入射单层膜望远镜和掠入射非周期多层膜望远镜以及新型的“龙虾眼”型望远镜)的发展；阐述了各种X射线天文望远镜工作的原理和成像特点，指出各种X射线天文望远镜之间的性能是相互补充的；简要说明了国内近年来在X射线天文望远镜研究方面取得的进展，并展望了下一步工作．     

L-MBE法生长ZnO薄膜的退火研究

研究了空气退火对于激光分子束外延(L-MBE)法制备的ZnO薄膜光学及结构特性的影响,报道了采用小角度X射线分析(GIXA)技术对于ZnO薄膜退火前后的表面及界面状况的定量分析结果.RHEED衍射图样表明,薄膜经过380℃及600℃原位退火后,其表面仍然较为粗糙.而XRD在面(in-plane)Φ扫描结果显示出经过800℃空气退火之后,薄膜具有更好的外延取向性.GIXA分析结果表明,800℃退火后ZnO薄膜的表面方均根粗糙度从退火前的1.13 nm下降为0.37 nm;同时ZnO/Al2O3界面粗糙度从2.10 nm上升为2.59 nm.ZnO室温PL结果显示,退火后薄膜紫外近带边发光强度比退火前增大了40倍,并出现了源于电子－空穴等离子体(EHP)复合的N带受激发射峰,激发阈值约为200 kW/cm2.     

新型结构声光调Q激光器研究

为了提高声光调Q输出脉冲的重复率;通过分析影响脉冲输出特性的因素,提出了采用新颖的掠入射方式、线泵浦源侧面泵浦的特殊谐振腔结构,在泵浦功率50 W时,实现了重复频率500 kHz、脉冲宽度76.82 ns的高重复频率激光脉冲输出.结果表明,缩短脉冲建立时间,提高泵浦功率,可以有效地提高声光调Q激光器的重复频率.     

斜入射角对二维正方形光子晶体带隙的影响

利用平面波法导出了光子晶体本征方程的矩阵形式,以此为基础计算了二维空气孔型正方形光子晶体在正入射时及斜入射时的带结构,并将带结构中混杂在一起的TE波和TM波的模式分离开来以分析斜入射角对带结构的影响.计算结果显示用电场E表示和用磁场H表示计算出来的结果完全一样,与电磁场是相互统一的结论完全吻合.研究还发现,TE波和TM波的第一带隙是完全分开的.随着波矢k的倾斜角度的增大,TE波的第一带隙逐渐减小并在波矢在（－1,0,1）平面内时完全消失.而TM波的带结构则随着波矢k的倾斜角的增大而变得平坦,带隙也是先随之增大,后又逐渐变小直至消失.     

Ce∶KNSBN晶体中光扇效应的响应时间特性研究

以单束光入射Ce∶KNSBN晶体,系统研究了不同入射光波长下,Ce∶KNSBN晶体中光扇效应的响应时间随入射光强度及光入射角的变化情况.结果显示,相同的入射光强度及光入射角下,入射光波长较短时,光扇效应到达稳态的时间较短.相同的入射光强度下,随光入射角的增大,响应时间先减小后增大,但不同波长入射光下,最小值对应的光入射角不同,入射光波长为532 nm时,响应时间最小值对应的θ为15°;入射光波长为632.8 nm时,对应的θ为15.5°.同时研究发现,入射光强度逐渐增大的过程中,响应时间在逐渐减小.     

Effect of Biodegradable Coatings on the Growth of Aspergillus flavus In Vitro,on Maize Grains,and on the Quality of Tortillas during Storage

The fungus Aspergillus flavus causes serious damage to maize grains and its by-products, such as tortilla. Currently, animal and plant derivatives, such as chitosan and propolis, and plant extract residues, respectively, are employed as alternatives of synthetic fungicides. The objective of this research was to evaluate the efficacy of several formulations based on propolis-chitosan-pine resin extract on the in vitro growth of A. flavus, the growth of maize grain plantlets and the quality of stored tortillas at 4 and 28 °C. The most outstanding formulation was that based on 59.7% chitosan + 20% propolis nanoparticles + 20% pine resin extract nanoparticles; since the in vitro conidia germination of A. flavus did not occur, disease incidence on grains was 25–30% and in tortillas, 0% infection was recorded, along with low aflatoxin production (1.0 ppb). The grain germination and seedling growth were markedly reduced by the nanocoating application. The percentage weight loss and color of tortillas were more affected by this coating compared to the control, and the rollability fell within the scale of non-ruptured at 4 °C and partially ruptured at 28 °C. The next step is to evaluate the toxicity of this formulation.     

Dynamic behavior of a parasite-host model with general incidence

In this paper, we consider the global dynamics of a microparasite model with more general incidences. For the model with the bilinear incidence, Ebert et al. [D. Ebert, M. Lipsitch, K.L. Mangin, The effect of parasites on host population density and extinction: Experimental epidemiology with Daphnia and six microparasites, American Naturalist 156 (2000) 459-477] observed that parasites can reduce host density, but the extinction of both host population and parasite population occurs only under stochastic perturbations. Hwang and Kuang [T.W. Hwang, Y. Kuang, Deterministic extinction effect of parasites on host populations, J. Math. Biol. 46 (2003) 17-30] studied the model with the standard incidence and found that the host population may be extinct in the absence of random disturbance. We consider more general incidences that characterize transitions from the bilinear incidence to the standard incidence to simulate behavior changes of populations from random mobility in a fixed area to the mobility with a fixed population density. Using the techniques of Xiao and Ruan [D. Xiao, S. Ruan, Global dynamics of a ratio-dependent predator-prey system, J. Math. Biol. 43 (2001) 268-290], it is shown that parasites can drive the host to extinction only by the standard incidence. The complete classifications of dynamical behaviors of the model are obtained by a qualitative analysis.     

Multiple-prism near-grazing-incidence grating solid-state dye-laser oscillator

Solid-state multiple-prism near grazing-incidence grating dye lasers have been configured in cavities as short as 73 mm using dye-doped modified PMMA gain media. Single-longitudinal-mode emission, in near-Gaussian temporal pulses of 6-7 ns (FWHM) duration, has been achieved. Measured laser linewidths are in the 375 MHz range, and beam divergence is 2.3 mrad, at 3%-4% conversion efficiencies.     

TWO DIFFERENTIAL INFECTIVITY EPIDEMIC MODELS WITH NONLINEAR INCIDENCE RATE

This paper considers two differential infectivity（DI） epidemic models with a nonlinear incidence rate and constant or varying population size. The models exhibits two equilibria, namely., a disease-free equilibrium O and a unique endemic equilibrium. If the basic reproductive number σ is below unity,O is globally stable and the disease always dies out. If σ〉1, O is unstable and the sufficient conditions for global stability of endemic equilibrium are derived. Moreover,when σ〈 1 ,the local or global asymptotical stability of endemic equilibrium for DI model with constant population size in n-dimensional or two-dimensional space is obtained.