一组Dawson型多金属氧酸盐和相应的有机-无机杂多化合物的超快非线性光学响应(英文)

通过时间分辨率为115fs的超快光克尔方法测量了多金属氧酸盐K₈[P₂Mo₄W₁₃M（H₂O）O₆₁]（M=Mn,Co,Ni,Cu,Zn）和相应的有机-无机杂多化合物(C₁₉H₂₅N₂)₇K₃[P₂Mo₄W₁₃MO₆₂]在830 nm处的三阶非线性光学性质.多金属氧酸盐阴离子和相应的杂多化合物都表现出很大的三阶非线性,其中M=Cu的取代物的非线性系数要比其他小一个数量级.通过比较有机-无机杂多化合物和生成前者的反应物的γ值,发现杂多化合物中的电荷转移效应极大的增强了三阶非线性光学性能.     

Cu2ZnSnS4纳米晶的制备及其三阶非线性光学性能的研究

以乙酰丙酮铜、醋酸锌、二氯亚锡、油胺和硫粉为前驱体,采用one-pot法合成出了单分散的Cu2ZnSnS4(CZTS)纳米晶.所得样品采用X射线粉末衍射仪(XRD),能量色散谱仪(EDS),透射电子显微镜(TEM),高分辨透射电子显微镜(HRTEM),光电子能谱仪(XPS),紫外-可见光谱仪(UV-vis)和Z-扫描(Z-scan)技术对其结构组成、形貌、性能等进行了表征.结果表明:所获得的产物为四方相结构的六边形CZTS纳米颗粒,直径约为10 nm.计算出尺寸大小为10 nm,13 nm的纳米晶的三阶非线性光学折射率γ(-1.08×10-15,-9.08×10-17 m2·W-1),三阶非线性光学吸收系数β(6.5×10-9,3.69×10-11 m·W-1)以及三阶非线性光学极化率χ(3)(1.49×10-9,4.35×10-10 esu).并探讨了CZTS纳米晶可能的形成机理,及引起三阶光学非线性发生变化的原因。     

EXISTENCE OF SOLUTIONS TO A THIRD-ORDER THREE-POINT BOUNDARY VALUE PROBLEM

In this paper,we study the existence of solutions to a third-order three-point boundary value problem.By imposing certain restrictions on the nonlinear term,we prove the existence of at least one solution to the boundary value problem by the method of lower and upper solutions.We are interested in the construction of lower and upper solutions.     

固体声弹性理论、实验技术及应用研究进展

固体的声弹性对于固体的应力状态超声无损测量具有极其重要的作用.康奈尔大学的鲍亦兴教授曾经总结了1984年以前的固体声弹性理论、实验技术及工程应用方面的研究成果.系统总结了最近20多年来固体声弹性的基本理论、实验技术及其在材料科学、岩土工程等领域应力状态超声无损检测应用方面的研究进展.      

Enhanced Compression of Fundamental Solitons in Dispersion Decreasing Fibers with Negative Third-order Dispersion Ⅱ. Effects of Fiber Characteristics and Initial Soliton Width

Previous work have shown that the combined effects of negative third-order dispersion (TOD) and Raman self-scattering (RSS) can significantly enhance soliton compression in dispersion decreasing fibers (DDFs). In this paper, the effects of the negative TOD coefficient and the effective amplification of DDF′s on the performance of soliton compression are investigated. It is shown that for a given initial soliton width and a given effective amplification, there exists an optimum value of the negative TOD coefficient of the DDF at which the enhancement in soliton compression is maximum. It is also shown that the compression enhancement saturates when the effective amplification exceeds a certain value, which has been explained as a compromise between the higher-order effects induced increase of the ratio of input to output group-velocity dispersion coefficients of the DDF and the TOD induced non-adiabatic compression characteristics. The dependence of the compression enhancement on the initial soliton width have also be studied and the scheme is found works well for solitons with initial widths less than 3 ps.     

Self—Steepening and Thired—Order Dispersion Induced Optical Solitons in Fiber

Usually,one considers only the group velocity dispersion(GVD)-and self-phase modulation(SPM)-induced solitons in optic soliton communication while other higher order effects such as the third-order dispersion(TOD),self-steepening(SS),and stimulated Raman scattering are considered only perturbatively,In this paper,we study the existence of the TOD-and SS-induced soliton solutions.The existence conditions of the TOD-and SS-induced bright and dark solitons are quite different from those of the GVD-and SPM-induced solitons.     

Second-Derivative-Free Variant of the Chebyshev Method for Nonlinear Equations

In this paper, we introduce a numerical method for nonlinear equations, based on the Chebyshev third-order method, in which the second-derivative operator is replaced by a finite difference between first derivatives. We prove a semilocal convergence theorem which guarantees local convergence with R-order three under conditions similar to those of the Newton-Kantorovich theorem, assuming the Lipschitz continuity of the second derivative. In a subsequent theorem, the latter condition is replaced by the weaker assumption of Lipschitz continuity of the first derivative.     

Enhanced pulse compression induced by the interaction between the third—order dispersion and the cross—phase modulation in birefringent fibres

In this paper,we report on the enhanced pulse compression due to the interaction between the positive third-order dispersion (TOD) and the nonlinear effect (cross-phase modulation effect) in birefringent fibres.Polarization soliton compression along the slow axis can be enhanced in a birefringent fibre with positive third-order dispersion,while the polarization soliton compression along the fast axis can be enhanced in the fibre with negative third-order dispersion.Moreover,there is an optimal third-order dispersion parameter for obtaining the optimal pulse compression.Redshifted initial chirp is helpful to the pulse compression,while blueshifted chirp is detrimental to the pulse compression.There is also an optimal chirp parameter to reach maximum pulse compression.The optimal pulse compression for TOD parameters under different N-order solitons is also found.     

用于固体自锁模的三元腔激光器的二阶、三阶色散的解析表示

给出在任意角度切割情况下,三元腔固体自锁模激光器二阶、三阶色散的解析表示,并系统地计算了切割角度、材料等因素的变化对二阶、三阶色散的影响.该计算为三元腔固体自锁模激光器的设计提供了理论依据. 关键词： 三元腔 二阶色散 三阶色散     

Influence of Lower Terms on the Well-Posedness of Characteristics Problems for Third-Order Hyperbolic Equations

In this paper, we consider a general problem of Goursat type for third-order hyperbolic equations of general form with dominated lower terms. We study the influence of the lower terms contained in the equation, as well as those in the boundary conditions, on the well-posedness of the problem under consideration.