Analysis of chebyshev pseudospectral method for multi-dimensional generalized srlw equations

IntroductionAsymmetricregularizedlongwaveequation (SRLWE) 2 x2 -1 u t = x ρ+ 12 u2 ,　 ρ t+ u x=0 (1 )hasbeeninvestigatedinRef.[1 ] .Thesystem (1 )ofequationsisshowntodescribeweaklynonlinearion_acousticwaveandspace_chargewaves.Thehuperbolicsecantsquaredsolitarywaves ,thefourconservationlaws,andsomenumericalresultshavebeenobtainedinRef.[1 ] .Obviously ,eliminatingρin (1 ) ,weobtainaclassofregularizedlongwaveequationutt-uxx+ 12 u2xt-uxxtt =0 . (2 )TheSRLWequationisexplicitlysymmetric…     

LaF分子结构与基态X1Σ+势能曲线研究

用能量一致相对论有效核芯势和含极化函数 4f2g和弥散函数 1s1p1d的价基组 ,在各种计算水平上计算了LaF分子结构、振动频率和离解能 .根据原子分子反应静力学原理导出LaF分子基态可能的电子状态和离解极限 ,用密度泛函理论中的B3LYP方法计算了基态X1Σ+ 势能曲线 ,拟合得到了Murrell Sorbie解析势能函数及其在平衡位置附近的Dunham展开式 ,由此计算的振转常数和实验光谱数据完全吻合 .得到的解析势能函数可用于计算振转光谱精细跃迁结构和原子分子碰撞反应动力学过程 ,具有重要的实用意义 . The equilibrium geometry, harmonic frequency and dissociation energy of the molecule LaF have been calculated on several kinds of computation levels with energy-consistent relativistic effective core potentials and valence basis sets including polarization functions 4f2g and diffuse functions 1s1p1d. The possible electronic state and its reasonable dissociation limit for the ground state of LaF are determined based on Atomic and Molecular Reaction Statics(AMRS). The potential energy curve scan for...     

Numerical solutions of singular integral equations for planar rectangular interfacial crack in three dimensional bimaterials

Stress intensity factors for a three dimensional rectangular interfacial crack were considered using the body force method. In the numerical calculations, unknown body force densities were approximated by the products of the fundamental densities and power series; here the fundamental densities are chosen to express singular stress fields due to an interface crack exactly. The calculation shows that the numerical results are satisfied. The stress intensity factors for a rectangular interface crack were indicated accurately with the varying aspect ratio, and bimaterial parameter.     

超临界CO2流体萃取重金属的研究进展

超临界CO2I充体与金属配合技术相结合开辟了重金属萃取的新途径,本文介绍了超临界CO2流体萃取重金属的研究现状,总结了影响萃因素,并对未来的发展趋势作了展望。     

光路自动准直快速调整数学模型研究

推演了用于计算机快速调整的巨型激光器光路自动准直控制数学模型,分析了ICF准直光路的光学特性及光路调整特点,据此求解出了准直控制的输入偏差量和输出控制量之间的数学模型.该模型在某大型激光装置的光路自动准直中得以实际应用,八路主放大级1～2程光路的准直时间＜3 min,3～4程光路的准直时间＜8 min,主放大级输出光束近场准直准确度优于0.3%,远场指向的准确度优于0.3″ RMS（均方根准确度）.     

fs-level laser–RF synchronization with a fiber-loop optical-microwave phase detector

In order to improve the precision of the laser–radio-frequency(RF) synchronization system from sub-picosecond to femtosecond(fs), a synchronization system between a picosecond laser and a 1.3 GHz RF generator has been developed based on a fiber-loop optical-microwave phase detector(FLOM-PD). Synchronization with fs-level(3.8 fs) rms jitter, integrated from 10 Hz to 1 MHz, is achieved for the first time, to the best of our knowledge, in this kind of configuration. This system will be used for the superconducting RF accelerator at Peking University.     

不同形貌的Cu_2O:可控合成及光学性质(英文)

Cuprous oxide(Cu₂O) hexapodal branch structure with high uniformity was prepared by a solution phase route using sodium dodecyl sulfate as a capping agent. The shapes of Cu₂O crystal(flower-like structure, nanocube and nanoplate) were tuned by varying species and concentrations of surfactants to control the growth rate on different crystal planes of Cu₂O. Cu₂O nanostructures were characterized by UV-Vis spectroscopy, XRD, TEM and SEM. XRD result shows that the obtained Cu₂O belongs to cubic phase. TEM and SEM results demonstrate that specie and concentration of surfactants play a key role in the formation of various morphologies of Cu₂O. The formation mechanism is discussed. Moreover, the optical properties of the obtained Cu₂O are shape-dependent.     

大离轴量凹面取样镜的设计

根据系统的使用要求以及椭球面特有的成像性质,提出使用离轴椭球面来完成光束取样和完善成像的设计方式.利用设计输入,计算出镜面的初始结构参数,得到离轴椭球面的二次曲线方程,将计算结果带入光学设计软件ZEMAX中验证成像质量.结果表明:离轴椭球面不但将物点和像点分开,减小了系统的长度,而且在像点处成完善像,将离轴成像转换为轴上成像,使后续光斑成像系统的高质量成像易于实现.     

强激光装置中玻璃疵病在线检测的光学系统设计

介绍了一种用于玻璃疵病在线检测的近摄工作距成像光学系统,其光组结构形式采用了光阑后置的准远心结构形式,主要光学参量为f′=14 mm;在物像距为250 mm约束条件下,物方视场达到90 mm(对角线);F/number=3.56;光谱适应范围为400～800 nm,对应的空间分辨率为100 lp/mm时,调制传递函数大于0.29.     

空间绳系太阳能电站初始姿态误差影响分析

针对地球同步轨道绳系太阳能电站在轨运行的动力学问题,建立复杂绳系编队系统的动力学模型。此模型考虑了系绳的柔性、太阳能子板的姿态运动、编队系统构型与轨道运动之间相互耦合的特性。在无扰动及存在初始太阳能子板姿态误差的情况下对系统进行动力学仿真,分析了系统的稳定性。结果表明:不同方向上的初始太阳能子板姿态误差对系统的影响不同,指向地心方向上的初始姿态误差不会引起系统的运动,另外两方向上初始姿态误差会引起柔性系绳内力变化从而对系统产生影响,其中轨道运行方向上的初始姿态误差对系统的影响最明显;较小的初始姿态误差所引起的系统运动主要为太阳能子板在其平衡位置附近的小幅往复转动;初始姿态误差较大时,平台系统会大幅偏离其平衡位置,影响空间绳系太阳能电站的构型保持。