On the space of measurable functions and its topology determined by the Choquet integral

Let (X,A,μ) be a finite nonadditive measure space and M be the set of all finite measurable functions on X. The topology on M, which is determined by the Choquet integral with respect to μ, is investigated. The relationship between this topology and the one determined by the Sugeno integral is examined. Some interesting examples are included.     

Low-energy structure in the ionization of argon: Comparison of experiment with theory

The above-threshold ionization of argon in an intense 70-fs,400-nm linearly polarized laser pulse has been investigated by the velocity map imaging techniques,combined with an attosecond-resolution quantum wave packet dynamics method.There is a quantitative agreement in all dominant features between the experiment and the theory.Moreover,a peak-splitting phenomenon in the first energy peak has been observed at high pulse intensity.Further,through the theoretical analysis,an ac Stark splitting with evident resonant and nonresonant ionization pathways has been found to be the physical reason for the experimental observations.     

飞秒强激光场中的原子、分子——非微扰现象研究

文章简要回顾了飞秒强激光场中的原子、分子这一研究领域在近年来所取得的一系列里程碑式的重大发现,包括多光子电离、阈上电离、隧穿电离、越垒电离、非顺序双电离、电离稳定化、高次谐波发射等等非微扰现象.讨论了纯量子理论和纯经典方法在处理该类问题时经常遇到的困难.介绍了作者所在小组为此提出的半经典模型及其在解释强场物理现象时所取得的成果.最后对这一领域在未来几年内的可能发展方向作了简单的评述.     

半绝缘GaAs的双调制反射光谱研究

半导体材料电子能带结构的确定对研究其物理性质及其在半导体器件方面的应用有重要意义.光调制反射光谱是一种无损和高灵敏度的表征半导体材料电子能带结构的光学手段.光调制反射光谱中激光调制导致的材料介电函数的变化在联合态密度奇点附近表现得更为明显.通过测量这些变化,可以得到有关材料能带结构临界点的信息.然而在传统的单调制反射光谱中,激光调制信号的光谱线型拟合和临界点数目的分析往往被瑞利散射和荧光信号所干扰.本文将双调制技术与双通道锁相放大器结合,消除了瑞利信号和荧光信号的干扰,获得了具有较高信噪比的调制反射光谱信号.双通道锁相放大器可以同时解调出反射光谱信号及其经泵浦激光调制后的细微变化量,避免了多次采集时可能存在的系统误差.利用这种技术,在可见激光(2.33 eV)泵浦下,我们测量了半绝缘GaAs体材料从近红外至紫外波段(1.1-6.0 eV)的双调制反射光谱,获得了多个能带结构临界点的信息.探测到了高于泵浦能量之上的与GaAs能带结构高阶临界点对应的特征光谱信号,说明带隙以上高阶临界点的光调制反射光谱本质是光生载流子对内建电场的调制,并不是来自该临界点附近的能带填充效应.这一结果表明双调制反射光谱能够对半导体材料能带结构带隙及其带隙以上临界点进行更准确的表征.     

HeH+体系光缔合反应的动力学研究

采用含时量子波包方法研究基电子态HeH⁺体系优化的光缔合几率,即He+H⁺→HeH⁺随碰撞粒子对初始动量的变化,并研究伴随该过程的多光子跃迁和解离.选取v=6振动能级为目标态,通过优化激光场参数得到碰撞粒子对的最优光缔合几率.结果表明：随着碰撞粒子对初始动量的增加,光缔合所用的最优激光场的持续时间逐渐减少,但光场的强度和失谐逐渐增加.在某些初始碰撞动量附近,由于共振多光子跃迁过程的存在,最优的光场不能严格地将碰撞粒子对缔合到目标态.此外,研究表明随着初始动量的增加,系统的超阈值解离几率近似线性地增加到一个最大值,直至饱和强度.并且,在碰撞粒子对的初始动量较大时,超阈值解离主导解离过程.     

铝原子激发态近阈限光电离截面测量

本文利用激光烧蚀、激光泵浦-探测、共振增强多光子电离和飞行时间质谱相结合的实验技术,根据离子产额和电离激光能量的关系,获取铝原子激发态的光电离截面;并研究了光电离截面与电离富余能的依赖关系.电离富余能0-2.98 eV内光电离截面值范围为15.6±1.7 Mb-2.3±0.9 Mb,激发态的寿命为17.6±1.8,16.9±1.7ns.在光电离截面的测量中,总的均方根误差上限约为17%.     

并联谐振电路在调制器充电电源中的应用

文章探讨了一种新颖的并联谐振高压开关电路, 该电路无需使用外加谐振元件, 只利用变压器的漏感和分布电容作为谐振参数, 既减小了变压器寄生参数的影响, 也简化电路. 设计采用调频器件CD4046对MOS管进行开关频率控制, 且令变换器工作于过谐振模式时, 该电路能够体现出对电容恒流充电的特性. 文中对电路的工作过程进行了简要分析, 并给出了功率计算和实验波形.     

Percolation,fractals, and anomalous diffusion

Both the infinite cluster and its backbone are self-similar at the percolation threshold,p _c . This self-similarity also holds at concentrationsp nearp _c , for length scalesL which are smaller than the percolation connectedness length,. ForL<, the number of bonds on the infinite cluster scales asL ^D , where the fractal dimensionalityD is equal to(d-/v). Geometrical fractal models, which imitate the backbone and on which physical models are exactly solvable, are presented. Above six dimensions, one has D=4 and an additional scaling length must be included. The effects of the geometrical structure of the backbone on magnetic spin correlations and on diffusion at percolation are also discussed.     

SYNTHESIS AND CHARACTERIZATION OF FLUORINATED POLYAMIDES DERIVED FROM UNSYMMETRICAL DIAMINES CONTAINING THE PHTHALAZINONE MOIETY

A novel unsymmetrical fluorinated diamine monomer with kink non-coplanar heterocyclic structures, 1,2-dihydro- 2-（4-amino-2-trifluoromethyophenyo）-4-[4-（4-amino-2-trifluoromethyophenoxy）phenyo]（2H）phthaoazin-1-oneo was prepared through the nucleophilic substitution reaction of 1-trifluromethyl-2-chloro-5-nitrobenzene with 1,2-dihydro-4-（4- hydroxyphenyl）（2H）phthalazin-l-one in the presence of potassium carbonate, followed by catalytic reduction with hydrazine and Pd-C. A series of new fluorinated polyarnides were synthesized by the phosphorylation polyamidation of the fluorinated diamine with various dicarboxylic acids. The prepared polymers were obtained in quantitative yields with moderately and high inherent viscosities （0.47-0.87 dL/g）. They were all amorphous and readily soluble in various polar aprotic solvents such as N-methyl-2-pyrrolidone （NMP）, N,N-dimethylformamide （DMF）, N,N-dimethylacctamide （DMAc）, pyridine （Py） and m-cresol at room temperature. These fluorinated polyamides have excellent thermal properties. The glass transition temperatures were all above 300℃. The 5% and 10% weight loss temperatures were in the range of 437-466℃ and 482-525℃ in nitrogen atmosphere, respectively.     

线极化强激光与轻元素气体相互作用产生的电子剩余能

 对线极化超短脉冲强场电离进行了回顾和分析。对不同参数的超短脉冲、线极化强激光与轻元素气体靶相互作用产生的等离子体中电子剩余能进行了解析和粒子模拟(CIC)数值计算。考虑到强场线极化光产生的等离子体的高电离度和低电子温度的特点,采用了有别于通常计算逆轫致吸收的方法,用零温度近似计算逆轫致效应。CIC模拟计算强场与物质相互作用物理过程中还考虑了纵向电场效应。给出了强场线极化光与氦和氖元素气态靶相互作用的理论计算结果和相应的结论。