四边固支球面扁壳的解析解

本文用解析法四边固支球面扁壳的在均布荷载作用下的内力和挠度进行了计算。     

Unraveling the electronic structure of transition metal dimers using resonant four‐wave mixing

The potential of two‐color resonant and degenerate four‐wave mixing spectroscopy for investigations of the complex spectra of transition metal dimers is explored. Two‐color resonant and degenerate four‐wave mixing spectroscopy scans of the well‐known A‐X and B‐X transitions in Cu₂ are reported and compared with previous experimental data obtained from standard single‐resonance techniques. The selectivity of the method is shown to enable the measurement of isotopologue pure spectra without the need for isotopically enriched metal targets. Specific subsets of the rovibronic structure are separated in a congested spectral region of overlapping transitions. The sensitivity of the method compares satisfactorily with linear spectroscopic methods such as laser‐induced fluorescence and cavity ring‐down. A new laser vaporization source for the production of transition metal dimers and clusters has been constructed. The new design aims for a high number density and maximum possible shot‐to‐shot stability. The possibilities of further applications of non‐linear four‐wave mixing spectroscopy to Cu₂ and other transition metal dimers are discussed. Copyright © 2015 John Wiley & Sons, Ltd.     

Six‐wave mixing induced by free‐carrier plasma in silicon nanowire waveguides

Nonlinear wave mixing in mesoscopic silicon structures is a fundamental nonlinear process with broad impact and applications. Silicon nanowire waveguides, in particular, have large third‐order Kerr nonlinearity, enabling salient and abundant four‐wave‐mixing dynamics and functionalities. Besides the Kerr effect, in silicon waveguides two‐photon absorption generates high free‐carrier densities, with corresponding fifth‐order nonlinearity in the forms of free‐carrier dispersion and free‐carrier absorption. However, whether these fifth‐order free‐carrier nonlinear effects can lead to six‐wave‐mixing dynamics still remains an open question until now. Here we report the demonstration of free‐carrier‐induced six‐wave mixing in silicon nanowires. Unique features, including inverse detuning dependence of six‐wave‐mixing efficiency and its higher sensitivity to pump power, are originally observed and verified by analytical prediction and numerical modeling. Additionally, asymmetric sideband generation is observed for different laser detunings, resulting from the phase‐sensitive interactions between free‐carrier six‐wave‐mixing and Kerr four‐wave‐mixing dynamics. These discoveries provide a new path for nonlinear multi‐wave interactions in nanoscale platforms.

     

A CLASS OF ALTERNATING GROUP METHOD OF BURGERS' EQUATION

IntroductionWeconsiderthefollowingnonlinearBurgers’equation : u t u u x=ε 2 u x2 ,　　 0 0 ,( 1 )withtheinitialandtheboundaryconditions　　　　　u(x,0 ) =f(x) ,　　 0 相似文献   

Sequential Ugi Four‐Component Reaction (4‐CR)/CH Activation Using (Diacetoxyiodo)benzene for the Synthesis of 3‐(Diphenylmethylidene)‐2,3‐dihydro‐1H‐indol‐2‐ones

A sequential Ugi four‐component reaction (4‐CR)/C? H activation using (diacetoxyiodo)benzene is reported. This process is a five‐component reaction of aromatic aldehydes, aniline derivatives, isocyanides, phenylpropiolic acid (3‐phenylprop‐2‐ynoic acid), and (diacetoxyiodo)benzene for the synthesis of 3‐(diphenylmethylidene)‐2,3‐dihydro‐1H‐indol‐2‐ones. This procedure offers several advantages such as good yields, high bond‐forming efficiency, selectivity, and short reaction times.     

基于出行目的链的出行生成—分布组合模型分析

目前,我国城市轨道交通客流预测大多采用交通产生、吸引、出行分布、出行方式划分四阶段模型,其中出行生成与分布是方式划分和交通分配的前提,是模型重要的组成部分.在对传统的四阶段模型的分析基础上,结合非集计模型的优点,论文提出了基于出行目的链的出行生成—分布组合模型.模型充分考虑了居民出行链、出行目的等对客流预测的影响,在完善我国轨道交通客流预测理论和方法,提高预测精度等方面具有一定的理论价值和实际意义.     

宽带泵浦激光的聚焦位置对SRS发生过程的影响

 结合SRS实验,重点研究了聚焦位置对Raman介质中的物理过程、Stokes光的输出特性的影响,比较了SRS阈值和转换效率的实验结果与理论预期。     

甲酚紫非线性光学性质的研究

报道了甲酚紫染料的非线性光学性质的实验研究方法及其结果.利用简并四波混频技术,测量得到甲酚紫甲醇溶液(浓度为5×10~(-4)M)的三阶非线性极化率X~(3)为2.0×10~(-10)esu.此外,利用不同强度皮秒脉冲相关技术得到了甲酚紫甲醇溶液的吸收恢复时间τ_(21)为163ps.     

非相干光作用下的Ce：BaTiO3自泵浦相位共轭镜特性

地Ｃｅ：ＢａＴｉＯ３晶体的自泵浦相位共竟然非相干光作用下自泵浦相位共轭反射率增强的特性进行了研究。实验是在Ｈｅ－Ｎｅ激光产生稳态自泵浦相位共轭输出后，用非相干光平行ｃ轴照射来获得这一增强特性的，当水平移动非相干光入射位置，发现有两个区域非相干光作用能使相位共轭反射率增加，本文对此进行了相应的分析和讨论。     

区间数的标准表示及其四则运算法则与泛灰数的内在联系

在回顾泛灰数四则运算法则基础上,给出了区间数的标准表示,论述了标准区间数的四则运算法则与泛灰数的内在联系及其应用前景.