变栅距光栅实现啁啾脉冲光谱整形

为了充分利用放大介质的增益带宽,获得脉宽更短,功率更高的输出脉冲,需要将输入到主放大链的种子脉冲进行光谱整形来补偿放大过程中的增益窄化效应。提出了利用变栅距反射光栅实现中心波长1053nm,谱宽6nm啁啾脉冲的光谱整形。运用严格的光栅衍射耦合波理论分析光栅的衍射特性,发现该方案不会引入相位畸变。分别计算和分析了刻槽深度、入射角大小、光栅周期以及入射光波长的变化对衍射效率的影响,通过选取适当的光栅参量可获得0.5%~84%的光谱调制深度。     

A Lyapunov-type stability criterion using norms

Let be a -periodic potential such that . The classical Lyapunov criterion to stability of Hill's equation is , where is the negative part of . In this paper, we will use a relation between the (anti-)periodic and the Dirichlet eigenvalues to establish some lower bounds for the first anti-periodic eigenvalue. As a result, we will find the best Lyapunov-type stability criterion using norms of , . The numerical simulation to Mathieu's equation shows that the new criterion approximates the first stability region very well.

     

A Water‐Soluble π‐Conjugated Polymer with up to 100 mg · mL−1 Solubility

A cationic water‐soluble polyfluorene (P2) containing a high density of tetraalkylammonium side chains in polymer backbone was synthesized and characterized. The polymer shows excellent water solubility up to 100 mg · mL⁻¹ as well as high photoluminescence (PL) quantum yield of 44% in water. The relatively high cationic density and appropriate side chain length of the polymer are the key factors to achieve such high water solubility. The reduction potential of P2 is decreased as compared with its neutral polymer, reflecting the enhanced electron injection abilities. The standard NPB/Alq₃ device using such a polymer as the electron injection layer shows nearly three‐fold enhancement in the electroluminescence (EL) efficiency.

     

聚萘二胺的合成及其对重金属离子的高效反应吸附

聚萘二胺是继聚苯胺和聚吡咯之后的又一类新型导电高分子,因聚合物中含有活性 的自由胺基和亚胺基而具有新的多功能性.作者根据近期研究工作和国外最新文献,系统论述了聚1,8-、1,5-、2,3-萘二胺的化学氧化合成和电化学氧化合成及其对重金属离子的络合和还原吸附功能,详细比较了两种聚合方法的特点. 指出通过萘二胺的电化学氧化聚合可以方便地获得对重金属离子如Ag⁺、Pb²⁺、Hg²⁺、Cu²⁺、VO²⁺敏感的修饰电极,而通过化学 氧化聚合可以高产率地获得对Ag+具有极大的还原吸附容量的聚合物颗粒.聚萘二胺在痕量 金属离子的分析与探测、工业废水中贵金属离子的回收和重金属离子的清除等领域展现了广阔的应用前景.     

实验设计的绿色化——记一次探究性学习

进行研究性学习是培养学生多种能力的良好途径,到社会大课堂去实践,发现问题,探究之、解决之,使学生能够用知识解决现实问题,无疑会对学生的学习兴趣和学习动力产生极大的激励作用,培养他们强烈的社会责任感。     

Certain classes of potentials for p ‐Laplacian to be non‐degenerate

Given a positive integer n and an exponent 1 ≤ α ≤ ∞. We will find explicitly the optimal bound r_n such that if the L^α norm of a potential q (t ) satisfies ‖q ‖equation/tex2gif-inf-2.gif < r_n then the n ^th Dirichlet eigenvalue of the onedimensional p ‐Laplacian with the potential q (t ): (|u ′|^{p –2} u ′)′ + (λ + q (t )) |u |^{p –2}u = 0 (1 < p < ∞) will be positive. Using these bounds, we will construct, for the Dirichlet, the Neumann, the periodic or the antiperiodic boundary conditions, certain classes of potentials q (t ) so that the p ‐Laplacian with the potential q (t ) is non‐degenerate, which means that the above equation with λ = 0 has only the trivial solution verifying the corresponding boundary condition. (© 2005 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)     

Twist Property of Periodic Motion of an Atom Near a Charged Wire

We study the Lyapunov stability of periodic motion of an atom in the vicinity of an infinite straight wire with an oscillating uniform charge, which serves as a mechanism for trapping cold neutral atoms. It is proved by King and Leséniewski that the system has classical periodic motion for a certain range of parameters. In this Letter, we will prove, using the Birkhoff Normal Forms and Morse Twist Theorem, that such a periodic state is of twist type. As a result, besides the stability of the periodic state in the sense of Lyapunov, the system has infinitely many interesting bound states such as subharmonics and quasi-periodic states.     

一维p-Laplacian的加权特征值的最佳估计

In this paper, we determine the infimum and the supremum of the Dirich-let eigenvalues λn(p) (n = 1,2,…)of the problem t∈ ?[0,T], where 1 < p < ∞, and the weights p are nonnegative and are subject to conditions p(t)dt = M and max(e[0,T] p(t) = H. It is also explained for whatweights p the infimum and the supremum will be attained.     

Photophysics and nonlinear absorption of peripheral-substituted zinc phthalocyanines

The photophysical properties, such as the UV-vis absorption spectra, triplet transient difference absorption spectra, triplet excited-state extinction coefficients, quantum yields of the triplet excited state, and lifetimes of the triplet excited state, of 10 novel zinc phthalocyanine derivatives with mono- or tetraperipheral substituents have been systematically investigated in DMSO solution. All these complexes exhibit a wide optical window in the visible spectral range and display long triplet excited-state lifetimes (140-240 mus). It has been found that the complexes with tetrasubstituents at the alpha-positions exhibit a bathochromic shift in their UV-vis absorption spectra, fluorescence spectra, and triplet transient difference absorption spectra and have larger triplet excited-state absorption coefficients. The nonlinear absorption of these complexes has been investigated using the Z-scan technique. It is revealed that all complexes exhibit a strong reverse saturable absorption at 532 nm for nanosecond and picosecond laser pulses. The excited-state absorption cross sections were determined through a theoretical fitting of the experimental data using a five-band model. The complexes with tetrasubstituents at the alpha-positions exhibit larger ratios of triplet excited-state absorption to ground-state absorption cross sections (sigma T/sigma g) than the other complexes. In addition, the wavelength-dependent nonlinear absorption of these complexes was studied in the range of 470-550 nm with picosecond laser pulses. All complexes exhibit reverse saturable absorption in a broad visible spectral range for picosecond laser pulses. Finally, the nonlinear transmission behavior of these complexes for nanosecond laser pulses was demonstrated at 532 nm. All complexes, and especially the four alpha-tetrasubstituted complexes, exhibit stronger reverse saturable absorption than unsubstituted zinc phthalocyanines due to the larger ratio of their excited-state absorption cross sections to their respective ground-state absorption cross sections.     

电感耦合等离子体发射光谱法测定仿真首饰中镍释放量

建立了电感耦合等离子体发射光谱测定仿真饰品中镍释放量的方法.等离子体流量为15.0 L/min,观察高度为10mm,镍的分析线为231.604 nm.镍含量在0～5 mg/L范围内与仪器响应值呈良好的线性关系,线性相关系数r=0.9999.2.0 mg/L镍标准溶液测定结果的相对标准偏差为1.9％(n=6),方法的检出限为8μg/L.用该方法对参考样品进行测定,测定结果在参考值范围内.