High-Dimensional Nonlinear Envelope Equations and Nonlinear Localized Excitations in Photonic Crystals

We investigate the nonlinear localized structures of optical pulses propagating in a one-dimensional photonic crystal with a quadratic nonlinearity. Using a method of multiple scales we show that the nonlinear evolution of a wave packet, formed by the superposition of short-wavelength excitations, and long-wavelength mean fields, generated by the self-interaction of the wave packet, are governed by a set of coupled high-dimenslonal nonlinear envelope equations, which can be reduced to Davey-Stewartson equations and thus support dromionlike high-dimensional nonlinear excitations in the system.     

单级A/O程序HSMBR系统性能和亚硝酸型SND

采用单级A/O程序复合膜生物反应器(HSMBR)处理高氨氮废水,研究了在低DO浓度下系统对有机物、氨氮和总氮的去除效率.研究结果表明:在低DO浓度下,COD,氨氮的平均去除率分别为94.4%和92.8%.由于进水COD/TN比仅为2.01,则使得总氮平均去除率仅为69.4%,但是当系统亚硝化累积率从60.5%～67.1%提高到83.5%～86.4%时,系统总氮去除率提高了17.7%.另外,DO在0.5～1.0 mg·L-1时,TN去除率为69.4%,亚硝酸盐氮累积率在60.5%～89.5%之间,可见维持低DO浓度可以实现亚硝酸型同时硝化反硝化.     

Synchronization of Chaotic Storage-Ring Free-Electron Laser by Bi-Directional Coupling Scheme with the Coupling Strength Varied Periodically

We analyse the chaotic dynamics of storage-ring free-electron lasers and report a bi-directional coupled scheme with the coupling strength varied periodically to synchronize two chaotic storage-ring free-electron lasers. The period is the same as the period of system＇s external modulation. ,The possibility of synchronization is proven according to the Lyapunov stability theory. The results of numerical simulation are obtained. Both the numerical simulation and theoretic analysis show that two storage-ring free-electron lasers can be controlled in the synchronization in a short time with this method.     

聚乳酸类医用生物降解材料的研究进展

聚乳酸由于其突出的优点如生物相容性好、降解产物对人体无毒而倍受重视,并且在生物医学领域的应用中获得了很好的效果。本文对聚乳酸的合成及在医学方面的应用作了总结和评述,并对其在生物医学领域的应用前景作了进一步展望。     

海藻酸钠/大豆蛋白共混凝胶微球的结构

利用钙离子交联海藻酸钠／大豆分离蛋白共混溶液，制得海藻酸钠／大豆分离蛋共混凝胶微球．结果表明，海藻酸钠和大豆分离蛋白质量配比的不同以及各组分间相互作用的变化，微球呈现不同的微观结构．将微球干燥后置于水中溶胀，微球的尺寸无法回复到干燥前的尺寸，这是由于真空干燥处理使水分子挥发，促进微球内组分间形成了强的氢键作用所致．此外，用碱处理该共混微球，发现由于大豆分离蛋白溶解以及部分钙离子被置换析出，微球塌陷且内部形成了大孔．     

数学物理方程中的通解问题

通过例证说明,通解法对于偏微分方程而言,其适用范围要比通常认为的大.并表明,只要适当变通,行波法就可用于有界情况.     

新型含氧亚甲基和亚胺桥键液晶化合物分子结构与光谱的密度泛函理论研究

采用密度泛函理论方法在B3LYP/6-31G*水平上对6个新型含氧亚甲基和亚胺桥键液晶化合物分子的几何结构进行优化计算,讨论了取代基H,CH3,CH3O,C2H5O,NO2,Cl对分子电荷、前线轨道能量和电子吸收光谱等性质的影响.在此基础上使用含时密度泛函理论方法计算了分子第一激发态的电子垂直跃迁能,得到最大吸收波长λmax.计算表明,取代基的引入导致最大吸收波长红移.     

位相物体激光全息二次曝光法无损检测

为借助激光全息进行无损检测，获得位相物体的信息，对位相物体激光全息二次曝光法无损检测进行了研究，指出一般的二次曝光法测位相物体典型光路的缺点，提出了物光波2次通过样品的改进方案。利用此方案对一些位相物体(如普通玻璃和有机玻璃)作了无损检测实验，得到了较满意的实验结果。与普通检测方法相比，该方法具有精度高、结果直接可靠、不损伤物体等诸多优点。对改进方案稍作改动，即可用于塑料制品和玻璃制品生产线对加工产品进行在线产品质量监控。     

用于快点火研究的超短脉冲的相干合成

 利用傅里叶光学方法，建立了一个基于远场的多束超短脉冲相干合成的理论模型。研究了一个口径为50 cm，脉宽为1 ps的超短脉冲相干合成系统的各种误差对脉冲远场时域和空域特性的影响。结果表明：若要求远场的一倍衍射极限区域的积分能量分布达到理想情况下的90％，该系统的相位延迟误差小于0.63，沿x方向角度误差小于0.37 μrad，沿y方向角度误差小于0.34 μrad；若要求远场叠加脉冲的时域展宽小于25％，系统的剩余啁啾因子应小于1.32(不考虑相位延迟)或1.52(考虑0.63的相位延迟)。     

Monte Carlo Hamiltonian: Linear Potentials

We further study the validity of the Monte Carlo Hamiltonian method. The advantage of the method,in comparison with the standard Monte Carlo Lagrangian approach, is its capability to study the excited states. Weconsider two quantum mechanical models: a symmetric one V(x) = |x|/2; and an asymmetric one V(x) = ∞, forx ＜ 0 and V(x) = x, for x ≥ 0. The results for the spectrum, wave functions and thermodynamical observables are inagreement with the analytical or Runge-Kutta calculations.