第一类曲面积分的新方法

从一个具体的物理问题入手,探讨了如何将第一类曲面积分转化为两个第一类曲线积分的累次形式,从而给出了这两类积分之间的关系,并通过举例说明该公式可以用来直观简便地计算第一类曲面积分.     

On a class of method for solving problems with random boundary notches and/or cracks

As we know,problems with boundary imperfections(notches or cracks)are the more importantone in practical fracture analysis.Frequently,these imperfections would appear in the boundaries ofthe bodies as a randomly distributed group,and under the loading circumstances would grow up to beunstable cracks which induces catastrophic fracture of the bodies.For right evaluation the fracturebehavior of the bodies with such boundary imperfections,it demands mathematical solutions for pro-blems with random boundary notches and/or cracks.     

N-O螯合配体协同膦配体的银(Ⅰ)混配配合物的设计、结构和生物活性

合成了一种Ag （Ⅰ）配合物[Ag （Qina）（Tpp）₂]·1.5H₂O （Qina=2-喹啉羧酸根,Tpp=三苯基膦）。运用单晶X射线衍射、IR、NMR和粉末X射线衍射对配合物的结构进行了表征。配合物属于单斜晶系,C2/c空间群,晶胞参数：a=3.195 90（13） nm,b=1.210 96（4） nm,c=2.319 74（7） nm,β=102.166（4）°,V=8.776 0（5） nm³,Z=8。通过Hirshfeld表面分析,推导出配合物的超分子结构和分子间弱作用力。同时,通过DNA结合活性测试、抗菌活性和癌细胞体外毒活性测试,评价了配合物的生物活性。     

激光脉冲的横向波形对弓形波电子俘获的影响

用粒子模拟研究了在激光尾波场电子弓形波注入过程中激光脉冲的横向波形对尾波场俘获电子数目的影响, 发现与高斯激光相比, 超高斯形激光更有利于拉动空泡闭合前侧边的电子团向空泡尾部汇聚形成高能量局域化的弓形波, 从而导致更多的电子注入到空泡的加速相, 使得被俘获的电子数目提高近5倍, 且电子束品质得到改善.该研究对于进一步理解尾波场加速中电子注入等有参考价值. 关键词： 尾波场 电子俘获 横向波形 粒子模拟     

Hexagonal Standing-Wave Patterns in Periodically Forced Reaction-Diffusion Systems

The periodically forced spatially extended Brusselator is investigated in the oscillating regime. The temporal response and pattern formation within the 2：1 frequency-locking band where the system oscillates at one half of the forcing frequency are examined. An hexagonal standing-wave pattern and other resonant patterns are observed. The detailed phase diagram of resonance structure in the forcing frequency and forcing amplitude parameter space is calculated. The transitions between the resonant standing-wave patterns are of hysteresis when control parameters are varied, and the presence of multiplicity is demonstrated. Analysis in the framework of amplitude equation reveals that the spatial patterns of the standing waves come out as a result of Turing bifurcation in the amplitude equation.     

适度删失时的极值指数估计

讨论在实际中常常会碰到的删失数据情形下的极值指数估计问题.限于极值数据本来就不多,将删失限定为适度删失.构造了适度右删失时Pareto型分布的一个子族—Hall族的极值指数的估计量.借助于估计量的信息,巧妙地构造了加权二乘估计的权数.从理论上说明了加权二乘估计的可行性,并利用MC方法,对Burr(1,1,1)、Burr(1,0.5,2)、Fréchet(1)、Fréchet(2)、学生-t1、学生-t4等几种常见的极值分布进行模拟,说明了加权二乘估计方法对门限值的选取并不敏感,具有很好的稳健性.同时,将利用Burr(1,1,1)、Burr(1,0.5,2)、Fréchet(1)分布模拟所得结果与Beirlant等人(2001)利用指数回归模型所得结果进行比较,说明了新方法比指数回归模型更为理想.     

大气环境下氦气等离子体中化学过程数值模拟

建立一个大气化学程序用以模拟大气压下（地面附近）或低压（高空）情况下混合气体（氦气中混入少量空气）中产生等离子体后的化学过程。给出了电子寿命和主要带电粒子的随时间演化图。电子寿命在大气压下要长于大气等离子体，但在低压情况下这个结论不成立。电子数密度在一很长一段时间内不服从指数衰减规律。     

Investigation of hydrogen bonding in neat dimethyl sulfoxide and binary mixture (dimethyl sulfoxide + water) by concentration-dependent Raman study and ab initio calculation

In this study,our vibrational spectroscopic analysis is made on hydrogen-bonding between dimethyl sulfoxide and water comprises both experimental Raman spectra and ab initio calculations on structures of various dimethyl sulfoxide/water clusters with increasing water content.The Raman peak position of the v(S=O) stretching mode of dimethyl sulfoxide serves as a probe for monitoring the degree of hydrogen-bonding between dimethyl sulfoxide and water.In addition,the two vibrational modes,namely,the CH 3 symmetric stretching mode and the CH 3 asymmetric stretching mode have been analysed under different concentrations.We relate the computational results to the experimental vibrational wavenumber trends that are observed in our concentration-dependent Raman study.The combination of experimental Raman data with ab initio calculation leads to a better knowledge of the nature of the hydrogen bonding and the structures of the hydrogen-bonded complexes studied.     

Phase mismatching analysis of third-harmonic generation in BBO crystal

<正>Phase mismatching for third-harmonic generation(THG) in barium metaborate(BBO) crystal is investigated in detail.Upon using BBO crystal in the TypeⅠ(oo→e) scheme,in the two independent planes (principal section of the crystal and the plane normal to principal section),when the input second-harmonic beam deviates from the expected direction,phase mismatching occurs and the angle deviation produces different effects on the conversion efficiency.We numerically simulate these two cases of phase mismatching and identify the relation between the conversion efficiency and the deviation angle in the air.The computational results indicate that the phase matching tolerance in the principal section is 0.2°(in the air),while the phase matching tolerance in the plane normal to principal section is 4.5°(in the air).After conducting a lab experiment,the results agree perfectly with the computational results,indicating that the deviation angle in the principal section has a greater effect on the conversion efficiency.     

Diffraction grating single-shot correlation system for measurement of picosecond laser pulses

We study and experimentally demonstrate a sensitive single-shot correlation system in which only a diffraction grating is used to produce a transverse time delay (TTD) in the reference pulse.The mechanism of the TTD introduced by the grating and the formation of the relative time delay (RTD) in the noncollinear correlation system are analyzed in detail.By using our system,we successfully measured the temporal duration of picosecond laser pulses,and a time resolution of ～0.047 ps is obtained at 1047 nm.The impact of the grating dispersion and the second harmonic beam walk-off effect on the measurement are considered.