Effect of thickness variations of lithium niobate on insulator waveguide on the frequency spectrum of spontaneous parametric down-conversion

We study the effect of waveguide thickness variations on the frequency spectrum of spontaneous parametric down-conversion in the periodically-poled lithium niobate on insulator (LNOI) waveguide. We analyze several variation models and our simulation results show that thickness variations in several nanometers can induce distinct effects on the central peak of the spectrum, such as narrowing, broadening, and splitting. We also prove that the effects of positive and negative variations can be canceled and thus lead to a variation-robust feature and an ultra-broad bandwidth. Our study may promote the development of on-chip photon sources in the LNOI platform, as well as opens up a way to engineer photon frequency state.     

基于连续投影算法的光谱主成分组合优化方法研究

应用连续投影算法(successive projections algorithm, SPA)选择由主成分分析(principal component analysis,PCA)得到主成分的最佳组合。首先对奶粉的短波近红外光谱进行PCA分析, 然后通过SPA得到的脂肪和蛋白质含量预测最佳主成分组合分别为主成分1,2,4,5,6和7以及主成分1,2,3,4,5和8。通过最小二乘支持向量机(Least-squares support vector machine, LS-SVM)对奶粉中脂肪和蛋白质含量进行预测, SPA选择得到的主成分组合均优于分别采用前4个到前8个主成分。 基于SPA得到的主成分组合得到脂肪含量预测结果的确定系数(R2p),预测误差均方根(root mean square error for prediction, RMSEP)和剩余预测偏差(residual predictive deviation, RPD)分别为0.989 0,0.170 3和9.534 3。而蛋白质含量预测结果的R2p,RMSEP和RPD分别为0.987 6,0.134 8和8.927 4。说明SPA能够用于快速有效选取最佳的主成分数, 寻优过程简单快速,并且不用对大量参数进行调试。     

傅里叶变换红外光谱法并结合主成分分析法鉴别灯盏花和多舌飞蓬的研究

灯盏花和多舌飞蓬为菊科飞蓬属植物,由于其形态上非常相似,因此在藏医药均被叫着"美多罗米"用于清热解毒、瘟病时疫.然而,它们在现代监床应用方面存在明显的差异.为了能简便快速的鉴别灯盏花和多舌飞蓬,借助于傅里叶变换红外光谱分析,采用主成分分析法(PCA)对来自13个不同产地的灯盏花和多舌飞蓬样品在植化组成上的相似性进行了聚类分析.比较了灯盏花和多舌飞蓬之间的差异程度,结果表明FTIR结合主成分分析在反映同属不同种及不同产地的同种植物化学组成差异程度上具有重要意义.所建立的方法可以快速、简便、直观地对灯盏花和多舌飞蓬进行聚类分析和质量鉴别,也可以为其他中药材和民族药材的鉴别研究提供参考.     

光参量啁啾脉冲放大增益特性研究

通过对非线性三波耦合方程组进行数值求解,研究了光参量放大的增益特性及饱和放大特性。给出了泵浦光、信号光参数对参量增益的影响及其与晶体饱和长度的关系。且OPA具有传统CPA系统所不具有的优点,将有可能取代传统的CPA系统而作为超短超强激光系统的新型前端。     

啁啾匹配OPCPA方案用于消除超短激光脉冲的预脉冲

采用了一种利用啁啾匹配光参量啁啾脉冲放大（OPCPA）技术来消除泵浦脉冲时间窗口内的预脉冲的方法,并对该方法展开了数值模拟研究。分析了泵浦光脉冲形状、预脉冲提前时间等因素对预脉冲消除效果以及信噪比提升情况的影响。通过与传统的非共线OPCPA方案对比,发现啁啾匹配OPCPA方案可以消除掉离主脉冲更近的预脉冲,且它对预脉冲的消除效果受泵浦光脉冲形状的影响较小。     

飞秒激光在晶体中传输的级联非线性过程

系统地回顾了有关级联过程导致的各种非线性效应的工作,指出了级联效应可导致不同光谱成分间出现能量转移现象,且二阶级联过程中产生的白光还能够提供种子光进而得到基于参量放大过程的宽带锥形辐射。在此基础上,进一步研究了入射的基频波长对于超连续白光能量转移效果及产生倍频效率的影响以及二阶级联过程引起的偏振调制现象,指出当入射波长越靠近相位匹配波长时倍频效率越高,发现二阶级联效应还可以引起显著的基频光偏振调制。     

导数振荡与应变能极小的平面分段三次参数Hermite插值

由于分段三次参数Hermite插值的切矢往往被作为变量,故可对其进行优化以使得构造的插值曲线满足特定的要求.为了构造兼具保形性与光顺性的平面分段三次参数Hermite插值曲线,给出了一种通过同时极小化导数振荡和应变能来确定切矢的方法.首先以导数振荡函数和应变能函数为双目标建立了切矢满足的方程系统;然后证明了方程系统存在唯一解,并给出了解的具体表达式;最后给出了误差分析,并通过数值算例表明方法的有效性.结果表明,相对于导数振荡极小化方法和应变能极小化方法,所提出的导数振荡和应变能极小化方法同时兼顾了平面分段三次参数Hermite插值曲线的保形性和光顺性.     

光参量荧光寿命分布

根据荧光寿命定义和放大过程获得的增益方程,研究了新型非线性晶体BaAlBO3F2中三种不同的相位匹配模式下中心波长532 nm泵浦的参量荧光光子寿命的分布特性。结果表明,当注入单色信号光时,参量荧光寿命随泵浦光相位匹配角的增加由椭圆体分布变化为圆环体分布。采用宽带信号光时,则由分散分布改变为集中在近200 nm波长范围内分布,并随泵浦光相位匹配角的增加而逐步减小。考虑宽带泵浦光注入情况时,参量荧光寿命的分布范围由于相位匹配范围增加而随之扩展。     

Extended radial epiderivatives of non-convex vector-valued maps and parametric quasiconvex programming

In this paper, we consider extended vector-valued mappings defined on a normed linear space. Based on the recent semicontinuous regularizations related to hypographical and/or epigraphical profile mappings of the considered function introduced, we define semicontinuous radial epiderivatives. We, then, demonstrate that the properties of these epiderivatives amount to properties of hypographical and/or epigraphical profile mappings of the corresponding difference quotient of the underlying function, which simplify fairly well the proofs in the radial epiderivative formulaes. In particular, we stress the impact of semicontinuity, hence, we characterize with new arguments the radial epiderivatives in terms of the suprema and/or infima of the interiorly radial cone of the hypograph and/or epigraph of the considered function. Finally, we obtain optimality conditions for general non-convex constrained vector optimization problems. We apply thereafter the obtained pattern to a parametric quasiconvex programming problem for which we derive necessary and sufficient optimality conditions that are not sensitive to perturbation at the nominal level, yielding henceforth more – and strong at least under asymptotically regular constraints – information than the recent stability results obtained under additional conditions on the regularity of the normal cone to the adjusted sublevel sets of the underlying function.