竞争-竞争-互惠交错扩散模型的整体解

应用能量估计方法和bootstrap技巧证明了竞争-竞争-互惠交错扩散模型在空间维数小于6时古典解的整体存在性.当反应函数的系数满足一定条件时,应用Lyapunov函数获得了该模型解的收敛性.     

一类带有非线性阻尼项和源项的四阶波动方程整体解的存在性与不存在性

考虑一类带有非线性阻尼项和源项的四阶波动方程的初边值问题.通过结合Galerkin逼近,势井方法和单调紧致方法,在最少的先验估计下获得了整体解的存在性.此外,在初始能量为负的情况下,证明了存在有限时间内爆破的解.     

粘弹性方程全离散化有限体积元格式及数值模拟

本文利用有限体积元方法研究二维粘弹性方程, 给出一种时间二阶精度的全离散化有限体积元格式, 并给出这种全离散化有限体积元解的误差估计, 最后用数值例子验证数值结果与理论结果是相吻合的. 通过与有限元方法和有限差分方法相比较, 进一步说明了全离散化有限体积元格式是求解二维粘弹性方程数值解的最有效方法之一.     

Bäcklund transformations and abundant exact explicit solutions of the Sharma-Tasso-Olver equation

By using an extension of the homogeneous balance method and Maple, the Bäcklund transformations for the Sharma-Tasso-Olver equation are derived. The connections between the Sharma-Tasso-Olver equation and some linear partial differential equations are found. With the aid of the transformations given here and the computer program Maple 12, abundant exact explicit special solutions to the Sharma-Tasso-Olver equation are constructed. In addition to all known solutions re-deriving in a systematic way, several entirely new and more general exact explicit solitary wave solutions can also be obtained. These solutions include (a) the algebraic solitary wave solution of rational function, (b) single-soliton solutions, (c) double-soliton solutions, (d) N-soliton solutions, (e) singular traveling solutions, (f) the periodic wave solutions of trigonometric function type, and (g) many non-traveling solutions. By using the Airy’s function and the Bäcklund transformations obtained here, the exact explicit solution of the initial value problem for the STO equation is presented. The variety of the structure of the solutions for the Sharma-Tasso-Olver equation is illustrated.     

小型化电谐振人工特异材料研究

详细分析了电谐振人工特异材料设计原理,并结合等效电路模型通过加载等效电感、等效电容和接地等方法,将相同尺寸的工字形结构工作频率从12.21 GHz降到了5.46 GHz,小型化效果明显.该成果不仅对于不同结构人工特异材料小型化设计提供了重要的参考,同时也为设计不同性能、不同工作频率的人工特异材料提供了明确的研究方向和有效的途径.     

共沸蒸馏GC/MS测定非卤代挥发性有机物的方法研究

讨论了用共沸蒸馏法浓缩处理水、土壤、固废样品或其萃取液中不易吹除、具挥发性、且易溶于水的非卤代挥发性有机物,并用气相色谱质谱联用仪定性定量的方法.     

Theoretical analysis on double Rayleigh backscattering noise in optical fibreRaman amplifiers and its suppression

In this paper, amplified double Rayleigh backscattering noise (DRB) in the optical fibre Raman amplifier is analysed. Expressions are presented for both forward pumping and backward pumping schemes. Calculation is performed to show the effective suppression of DRB noise by employing an optical isolator. The optimal position for the isolator is determined and is found to be insensitive to the power levels of the signals and pumps. The results show that a reduction of the DRB noise by almost 2 to 3 orders can be reached.     

辉光等离子体辅助化学气相沉积低温合成金刚石薄膜的研究

采用辉光放电等离子体增强化学气相沉积 (GP CVD)技术在低温条件下合成了高品质的亚微米金刚石薄膜 ,并通过对合成过程的实时发射光谱诊断确定了 [CH4 H2 ]系统参与金刚石合成反应的主要荷能粒子。对合成过程的研究表明 :采用这种技术能使电子增强热丝化学气相沉积 (EACVD)合成高品质金刚石薄膜的温度从 85 0℃降至 (340± 5 )℃ ;薄膜低温合成中的主要荷能粒子为CH3 、CH ,CH+ 、H 等 ,其中过饱和原子氢保证了高品质金刚石薄膜的合成 ;根据光诊断和探针测量的结果推断近表面辉光放电可在基片表面形成电偶极层 ,该偶极层是进行超常态反应的必要环境 ,并在低温合成中起重要作用     

Enhanced nonlinear optical absorption of Au/SiO2 nano-composite thin films

Nano metal-particle dispersed glasses are the attractive candidates for nonlinear optical material applications.Au/SiO 2 nano-composite thin films with 3 vol% to 65 vol% Au are prepared by inductively coupled plasma sputtering.Au particles as perfect spheres with diameters between 10 nm and 30 nm are uniformly dispersed in the SiO 2 matrix.Optical absorption peaks due to the surface plasmon resonance of Au particles are observed.The absorption property is enhanced with the increase of Au content,showing a maximum value in the films with 37 vol% Au.The absorption curves of the Au/SiO 2 thin films with 3 vol% to 37 vol% Au accord well with the theoretical optical absorption spectra obtained from Mie resonance theory.Increasing Au content over 37 vol% results in the partial connection of Au particles,whereby the intensity of the absorption peak is weakened and ultimately replaced by the optical absorption of the bulk.The band gap decreases with Au content increasing from 3 vol% to 37 vol % but increases as Au content further increases.     

多峰场负氢离子源磁体布局对等离子体特性影响的数值模拟研究

负氢离子源的研究对于响应国家散裂中子源建设和国际热核聚变实验堆计划的开展都具有十分重要的意义. 由于离子源本身的物理特性导致数值模拟成为不可或缺的研究手段, 基于此, 首先对自主研发的全三维粒子模拟/蒙特卡罗碰撞算法进行阐述, 然后对负氢离子体积过程进行描述, 并在此基础上对中国原子能研究中心的多峰质子源进行了系统仿真, 在引出磁体极性相同和相反两种情形下, 分别对多峰质子源放电特性进行了讨论和分析. 结果显示: 在相反极性下, 两引出磁体附近的磁漂移方向相同且数值较大, 即磁漂移剧烈, 导致电子总数较大且高能电子在特定区域活跃, 进而负氢离子体积产率较高, 即负氢离子在空间呈现Y漂移; 反之, 在相同极性下, 电子约束效果相对较差且负氢离子体积产率较低, 但其空间分布均匀.