基于Levenberg-Marquardt算法的大型非球面镜轮廓数据处理方法

大型非球面镜通过加工 检测 再加工 再检测的制造工艺以满足面形精度要求,根据检测后的轮廓数据准确评定面形是提高再加工精度的关键。为解决抛光前镜面的面形评定问题,采用基于信赖域法则的Levenberg Marquardt算法对参数进行拟合、误差补偿以及面形评定。利用Code V仿真分析算法性能,构建大型非球面轮廓仪测试抛物面加工件,对实测数据经过32次迭代得到元件参数及轮廓残差曲线,收敛精度为1.1610-21。实验表明:该算法可对大型非球面镜轮廓数据进行高效准确的拟合、评定,为进一步提高再加工精度提供可靠依据。     

Ce∶YAG透明陶瓷的制备及性能研究

以高纯Al_2O_3、Y_2O_3和CeO_2为原料,采用固相法制备Ce∶YAG(掺铈钇铝石榴石)透明陶瓷,研究了稀土离子掺杂浓度以及烧结温度对陶瓷样品光学性能的影响。结果表明:陶瓷片透过率随着烧结温度的升高而增大,1750℃烧结获得的0.5%Ce∶YAG陶瓷片的透过率高达81.7%。Ce∶YAG陶瓷片的激发峰和发射峰分别位于350nm和530nm处,在白光LED领域具有极大的应用价值。     

新型有机电致磷光白光器件的研究

制备了结构为ITO/NPB/TCTA/FIrpic∶TCTA/Ir(MDQ)2(acac)∶TmPyPB/FIrpic∶TmPyPB/TmPyPB/LiF/Al的有机电致磷光发光器件。通过在双蓝光发光层之间插入较薄的红光层Ir(MDQ)2(acac)∶TmPyPB调节载流子、激子在各发光层中的分布,并结合TCTA和TmPyPB对发光层内载流子和激子的有效阻挡作用,混合实现白光发射。研究了红光层在不同厚度、不同掺杂浓度下对器件发光性能的影响。结果表明,红光发光层厚度为2nm、质量浓度为5%时,结合蓝光发光层和红光发光层,实现了色坐标为(0.333,0.333)、最大发光效率为11.50cd/A的白光发射。     

Modified Alternating Direction Methods for the Modified Multiple-Sets Split Feasibility Problems

In this paper, we propose two new multiple-sets split feasibility problem models and new solution methods. The first model is more separable than the original one, which enables us to apply a modified alternating direction method with parallel steps to solve it. Then, to overcome the difficulty of computing projections onto the constraint sets, a special version of this modified method with the strategy of projection onto half-space is given. The second model consists in finding a least Euclidean norm solution of the multiple-sets split feasibility problem, for which we provide another modified alternating direction method. Numerical results presented at the last show the efficiency of our methods.     

基于波谱技术的茶树生长与茶叶品质信息快速检测研究进展

波谱技术快速获取茶树生长和茶叶品质信息对提高茶叶生产信息化、产业化水平,保障茶叶品质和安全具有重要意义。阐述了波谱技术在茶树生长和茶叶品质信息快速检测的研究进展和发展趋势。重点介绍了红外光谱,荧光光谱、拉曼光谱、质谱等在茶树生长信息获取(氮、叶绿素、病虫害信息等)、茶叶品种分类、茶叶分级、茶叶内部品质检测(茶多酚、儿茶素、咖啡碱、氨基酸、农药残留等)、茶饮料和加工品的品质检测以及相关检测设备等方面的研究进展和应用情况,简述了茶树生长信息获取方法、传感仪器和产业化应用的研究和发展趋势。选择合适的预处理和化学计量学方法能有效增加模型效果,减少冗余数据,为基于波谱技术便携式仪器的开发提供可能。基于波谱技术便携式仪器和在线检测仪器开发仍是今后实现该技术应用和推广的重点。首次介绍了波谱技术在茶叶生产加工领域的应用成果和研究进展,涵盖茶树生长、茶叶加工、茶叶和茶加工品品质安全等多方面内容,并论述波谱技术在茶叶产业应用存在问题和将来发展趋势。     

Simple method for synthesizing few-layer graphene as cathodes in surface-enabled lithium ion-exchanging cells

In order to realize a wider application for graphene materials specifically in the field of energy storage, a simple and mass-scalable method described as “the atmospheric, low-temperature, shock-heating process” is proposed in this work. During this low-temperature process, the graphite oxide without pre-treatment is completely exfoliated to form the few-layer graphene materials at atmospheric conditions. The Brunauer-Emmett-Teller (BET)-specific surface area of acquired material at 350 °C can reach 487 m² g^?1. The acquired few-layer graphene materials are also confirmed by X-ray diffraction (XRD), scanning electron microscopy (SEM), Raman spectroscopy, Fourier transform infrared spectroscopy (FTIR) spectroscopy, X-ray photoelectron spectroscopy (XPS), and high-resolution transmission electron microscopy (HRTEM). The results demonstrate that this simple method is feasible for synthesizing the few-layer graphene materials. Besides that, the acquired graphene is also used as the cathode material in the surface-enabled lithium ion-exchanging cell. The galvanostatic charge/discharge tests show that the graphene prepared from this method is suitable for this system and displays a satisfactory electrochemical performance. The acquired graphene sample exhibits the reversible capacities of around 187, 107, 84, 58, and 45 mAh g^?1 at 0.1, 2, 5, 10, and 15 A g^?1, respectively. At the current density of 0.5 A g^?1, the capacity retention can reach 75 % after 2000 cycles.     

The effects of overtaking strategy in the Nagel-Schreckenberg model

Based on the Nagel-Schreckenberg (NS) model with periodic boundary conditions, weproposed the NSOS model by adding the overtaking strategy (OS). In our model, overtakingvehicles are randomly selected with probability q at each time step, and the successful overtakingis determined by their velocities. We observed that (i) traffic jams still occur in theNSOS model; (ii) OS increases the traffic flow in the regime where the densities exceedthe maximum flow density. We also studied the phase transition (from free flow phase tojammed phase) of the NSOS model by analyzing the overtaking success rate, order parameter,relaxation time and correlation function, respectively. It was shown that the NSOS modeldiffers from the NS model mainly in the jammed regime, and the influence of OS on thetransition density is dominated by the braking probability p.     

Effect of ZnAl2O4 coating on the compressive behaviors of aluminum borate whiskers-reinforced aluminum composites at elevated temperatures

Aluminum borate whiskers (ABOw) with or without ZnAl₂O₄ coating reinforced pure aluminum composites (ABOw/Al, ABOw/ZnAl₂O₄/Al) were fabricated by squeeze casting. The effects of ZnAl₂O₄ coating on the compressive behaviors, microstructures, and matrix textures of the composites were investigated at different temperatures and strain rates. The results indicate that the maximum compressive flow stress of the composites almost linearly decreases with the increase in temperature. The maximum compressive flow stress of ABOw/ZnAl₂O₄/Al composite is higher than that of ABOw/Al composite at the same temperature when the strain rate is larger, however, it is reversed when the strain rate is smaller. It is more serious for the fracture of whiskers in ABOw/ZnAl₂O₄/Al composite than that in ABOw/Al composite at the high compressive strain rate. However, the average length of whiskers in ABOw/ZnAl₂O₄/Al composite is larger than that in ABOw/Al composite at the low compressive strain rate. The strong matrix texture in ABOw/ZnAl₂O₄/Al composite appears at the high compressive strain rate, however, it is observed in ABOw/Al composite at the low compressive strain rate.     

Knots,BPS States,and Algebraic Curves

We analyze relations between BPS degeneracies related to Labastida-Mariño-Ooguri-Vafa (LMOV) invariants and algebraic curves associated to knots. We introduce a new class of such curves, which we call extremal A-polynomials, discuss their special properties, and determine exact and asymptotic formulas for the corresponding (extremal) BPS degeneracies. These formulas lead to nontrivial integrality statements in number theory, as well as to an improved integrality conjecture, which is stronger than the known M-theory integrality predictions. Furthermore, we determine the BPS degeneracies encoded in augmentation polynomials and show their consistency with known colored HOMFLY polynomials. Finally, we consider refined BPS degeneracies for knots, determine them from the knowledge of super-A-polynomials, and verify their integrality. We illustrate our results with twist knots, torus knots, and various other knots with up to 10 crossings.     

Complemented subgroups and the structure of finite groups

Let $p$ be the smallest prime divisor of the order of a finite group $G$ . We examine the structure of $G$ under the hypothesis that $p$ -subgroups of $G$ of certain orders are complemented in $G$ . In particular, we extend some recent results.