利用LED的投影系统光源设计

设计了利用多颗LED(Light Emitting Diode,发光二极管)阵列组成的扩展面光源.经过合理的聚光设计使之符合某些投影设备对亮度要求不是很高,但结构紧凑、性能稳定、使用寿命长的要求.结合数学建模和软件模拟的方式设计了一种小巧的反光杯,利用反光杯把LED近180°的发散光束汇聚到60°左右;然后再用一一对应的透镜阵列汇聚为平行光;最后采用柯勒照明方式把较大的面光源阵列汇集到LCD投影屏幕上,从而达到了较高亮度且具有很高均匀性的目的.     

Stability and dispersion analysis of reproducing kernel collocation method for transient dynamics

A reproducing kernel collocation method based on strong formulation is introduced for transient dynamics. To study the stability property of this method, an algorithm based on the von Neumann hypothesis is proposed to predict the critical time step. A numerical test is conducted to validate the algorithm. The numerical critical time step and the predicted critical time step are in good agreement. The results are compared with those obtained based on the radial basis collocation method, and they are in good agreement. Several important conclusions for choosing a proper support size of the reproducing kernel shape function are given to improve the stability condition.     

Risk-based optimal investment and proportional reinsurance of an insurer with hidden regime switching

In this paper, we study the optimal investment and proportional reinsurance strategy for an insurer in a hidden Markov regime-switching environment. A risk-based approach is considered, where the insurer aims at selecting an optimal strategy with a view to minimizing the risk described by a convex risk measure of its terminal wealth. We solve the problem in two steps. First, we employ the filtering theory to turn the optimization problem with partial observations into one with complete observations. Second, by using BSDEs with jumps, we solve the problem with complete observations.     

瞬态问题稳定性及弥散分析的无网格RKPM配点法研究

介绍了基于强形式的RKPM配点法求解瞬态动力问题的算法,并提出了采用RKPM配点法,配合时间域中心差分求解二阶波动方程的稳定性评价方法,并通过数值算例验证了此方法的正确性．此评价方法可以方便有效地评估出实际计算时的临界时间步长．通过数值算例比较可知,实际算例的计算临界时间步长与本评价方法,所预测的临界时间步长结果非常接近．给出了如何合理地选择RKPM形函数支撑域的建议．最后与径向基函数配点法进行了对比研究．     

Outage probability analysis of FSO system with Airy beam as carrier

Optical Review - Based on the scintillation index of Airy beam and exponentiated Weibull channel model, analytical expressions of outage probability for free-space optical (FSO) communication links...     

基于密度泛函理论的菲分子结构与光谱研究

选用密度泛函理论(DET)中的B3LYP方法,在6-311++G(d,p)下对菲分子结构进行优化,计算了其振动频率、极化率及热力学参数,对比了菲分子实测光谱图,首次对其振动频率进行了完全归属。此外,分析并讨论了其前线分子轨道、分子静电势和密立根布局,获得了HOMO-LUMO能隙、分子静电势分布、原子电荷分布等与分子性质密切相关的重要数据,为后续其他多环芳烃分子的光谱检测技术及其光谱和电子结构的分析提供了理论基础。     

4 ,5-二取代-1 ,2-苯醌的电化学合成及反应机制

邻苯二酚在不同亲核试剂存在下经电解氧化 ,一步合成了 4,5_二取代_1,2_苯醌类化合物 ;对电解氧化_迈克尔加成反应进行了探讨 ,提出了可能的反应历程 .     

Optimal time-consistent investment and reinsurance strategy for mean-variance insurers under the inside information

Acta Mathematicae Applicatae Sinica, English Series - In this paper, we consider the problem of the optimal time-consistent investment and proportional reinsurance strategy under the mean-variance...     

Tuning the number of plasmon band in silver ellipsoidal nanoshell: refractive index sensing based on plasmon blending and splitting

Because of the geometric features of both rod and shell, dielectric-silver core–shell ellipsoidal nanostructure with 12–40 nm semi-major axis may bring forth four surface plasmon resonance (SPR) absorption peaks at most. Theoretical calculations based on quasi-static approximation show that there is surrounding refractive index-dependent plasmon blending and splitting in the absorption spectra, which makes the number of plasmon band of the silver ellipsoidal nanoshell is tunable. The sensitivity of the plasmon blending and splitting to the surrounding refractive index may be improved by increasing the shell thickness, aspect ratio or core refractive index. This local refractive index dependent-plasmon blending and splitting presents a new sensing picture based on tuning the number of SPR absorption peaks.     

饱和一元醇类分子拉曼光谱振动峰的归属研究

选用B3LYP/6-31G(d)优化并计算了31种饱和一元醇类分子的拉曼光谱,以甲醇为例,考察了理论计算结果的准确性,分析了碳原子数小于7的直链饱和一元醇拉曼光谱振动峰的归属。研究结果显示,B3LYP/6-31G(d)用于饱和一元醇类分子拉曼光谱振动的模拟计算较为准确,通过饱和一元醇拉曼光谱振动峰归属分析,确认C—O伸缩振动引起的振动峰可作为饱和一元醇类分子拉曼光谱的特征峰;进一步研究还发现,饱和一元醇类分子拉曼光谱的特征峰与其极化率、热力学、能量等主要参数具有显著的相关性(sig.为0.015),为同系物的拉曼光谱研究提供了一定的参考价值。