KDP晶体受激拉曼散射特性

详细比较了磷酸二氢钾(KDP)晶体的自发拉曼散射和受激拉曼散射光谱,在受激拉曼散射(SRS)中观察到了自发拉曼散射中最强的振动模的三阶Stokes光(559.43,589.74,623.50nm),由于其他振动模的受激拉曼散射增益系数较小,其SRS光谱未观察到。另外,比较了传统生长的未退火和退火后的KDP晶体及快速生长的锥区和柱区KDP晶体的受激拉曼散射增益系数,结果表明生长方法和热退火对KDP晶体的受激拉曼散射增益系数无明显影响。     

Hermite插值算子在Orlicz空间内的逼近

插值算子逼近是逼近论中一个非常有趣的问题,尤其是以一些特殊的点为结点的插值算子的逼近问题很受人们的关注.研究了以第一类Chebyshev多项式零点为插值结点的Hermite插值算子在Orlicz范数下的逼近.     

北京谱仪Ⅱ TELESIS误差矩阵的修正

借鉴北京谱议Ⅱ第1批27×106 J/ψ数据带电径迹和中性径迹误差矩阵修正的方法,选取J/ψ衰变到μ+μ- 和辐射e+e-过程的数据样本,研究了北京谱议Ⅱ第2批数据误差矩阵的修正(1)利用J/ψ→μ+μ-样本,对带电径迹完成了RUN-by-RUN误差矩阵刻度.(2) 利用J/ψ→γe+e-样本,在0.2～1.4 GeV能量范围内,完成了桶部簇射计数器(BSC)中对中性径迹的沉积能量和空间位置测量的误差矩阵修正.经上述误差矩阵修正后,北京谱议Ⅱ的TELESIS可以较好地满足J/ψ数据分析工作的进一步要求.     

糖尿病人群发展状况预警建模研究

糖尿病发展迅速,已成为严重的公共健康问题,糖尿病能够诱发多种并发症,给社会和个人带来巨大的经济负担,该文通过建立数学预警模型来研究糖尿病的发展状况,在系统模型的假定下,证明了系统存在非负的动态解和稳态解,计算动态解得到了某一时间糖尿病人在不同阶段的概率,而稳态解可以研究时间充分大时糖尿病人在不同阶段的概率.目前,我国糖尿病患者接近一亿人,接近1.5亿人处于糖尿病前期,糖尿病发展形式非常严峻,控制血糖是控制糖尿病发展的关键,该文通过糖尿病不同阶段的血糖控制不同状态,得到的稳态解不仅验证了这一严峻形式,而且动态解对糖尿病未来发展起到预警作用,特别是在范数意义下动态解收敛到稳态解,从而由系统稳态解得到系统指标是可靠的.     

基于供应链的“互联网+回收”平台合作推广研究

针对第三方回收商自有“互联网+回收”平台知名度不高的情况,网络零售商负责销售产品、推广销售平台的同时,利用自身平台知名度向消费者宣传推广“互联网+回收”平台。文章对比分析非合作和合作情形下,供应链成员的最佳策略。研究表明:供应链成员的合作比不合作更有利;成本共担契约下的供应链合作和转移支付契约下的合作相比,网络零售商和第三方回收商投入更多的推广努力,回收价格更低,回收量更大;协同合作情形下回收量、双方的推广努力达到最大,回收价格最低。     

二元Lagrange三角插值多项式在Orlicz空间内的逼近

研究了二元函数用一种组合型的三角插值多项式算子逼近的问题.借助连续模这一工具,给出了这类三角插值多项式在Orlicz空间内的逼近定理.     

Production of exotic neutron-deficient isotopes near N,Z=50 in multinucleon transfer reactions

The multinucleon transfer reaction in the collisions of ~(40) Ca+ ~(124) Sn at Ec.m. = 128.5 MeV is investigated using the improved quantum molecular dynamics model. The measured angular distributions and isotopic distributions of the products are reproduced reasonably well by the calculations. The multinucleon transfer reactions of ~(40) Ca +~(112) Sn, ~(58) Ni + ~(112) Sn, ~(106) Cd + ~(112) Sn, and ~(48) Ca + ~(112) Sn are also studied. This demonstrates that the combinations of neutron-deficient projectile and target are advantageous for the production of exotic neutron-deficient nuclei near N,Z =50. The charged particles' emission plays an important role at small impact parameters in the de-excitation processes of the system. The production cross sections of the exotic neutron-deficient nuclei in multinucleon transfer reactions are much larger than those measured in the fragmentation and fusion-evaporation reactions. Several new neutron-deficient nuclei can be produced in the ~(106) Cd + ~(112) Sn reaction. The corresponding production cross sections for the new neutron-deficient nuclei,~(101,112) Sb,~(103) Te,and ~106,107) I,are 2.0 nb,4.1 nb,6.5 nb,0.4 μb and 1.0 μb,respectively.     

带有未知内部扰动的星形Euler-Bernoulli梁网络的指数跟踪控制

该文研究了带有未知内部扰动的星形Euler-Bernoulli梁网络的指数跟踪控制问题.首先将该问题等价转化为跟踪网络与被跟踪网络的误差网络的镇定问题.利用滑模控制思想,对误差网络设计了非线性反馈控制方案.通过对状态空间选取适当的范数,运用单调算子理论得到了误差网络的适定性.通过构造适当的Lyapunov函数,证明误差网络按任一收敛率指数稳定.这表明跟踪网络能够按任一给定速率以指数速度跟踪到目标网络.     

Fast-speed self-powered PEDOT: PSS/α-Ga2O3 nanorod array/FTO photodetector with solar-blind UV/visible dual-band photodetection

The $\alpha $-Ga$_{2}$O$_{3}$ nanorod array is grown on FTO by hydrothermal and annealing processes. And a self-powered PEDOT:PSS/$\alpha $-Ga$_{2}$O$_{3}$ nanorod array/FTO (PGF) photodetector has been demonstrated by spin coating PEDOT:PSS on the $\alpha $-Ga$_{2}$O$_{3}$ nanorod array. Successfully, the PGF photodetector shows solar-blind UV/visible dual-band photodetection. Our device possesses comparable solar-blind UV responsivity (0.18 mA/W at 235 nm) and much faster response speed (0.102 s) than most of the reported self-powered $\alpha $-Ga$_{2}$O$_{3}$ nanorod array solar-blind UV photodetectors. And it presents the featured and distinguished visible band photoresponse with a response speed of 0.136 s at 540 nm. The response time is also much faster than the other non-self-powered $\beta $-Ga$_{2}$O$_{3 }$ DUV/visible dual-band photodetectors due to the fast-speed separation of photogenerated carries by the built-in electric field in the depletion regions of PEDOT:PSS/$\alpha $-Ga$_{2}$O$_{3}$ heterojunction. The results herein may prove a promising way to realize fast-speed self-powered $\alpha $-Ga$_{2}$O$_{3}$ photodetectors with solar-blind UV/visible dual-band photodetection by simple processes for the applications of multiple-target tracking, imaging, machine vision and communication.     

一种绳约束两质点的运动研究

研究一种绳约束下两质点运动的动力学模型和运动规律,分别采用泰勒级数展开的方法和四阶龙格-库塔数值方法,得到了质点运动微分方程的近似解和数值解.通过对系统的动力学方程计算,给出了位置矢量随时间的演化曲线、运动相图和运动轨迹.研究发现系统的运动与初始位置和速度有关,在初速度较大和较小时,系统作非线性周期性运动.存在临界初始速度,使得系统处于平衡态,在微小扰动下系统在初始位置附近作近似简谐振动.以上研究结果对微小振动力学问题的教学和科研具有一定的参考价值.