Block （or Hamiltonian） Lie Symmetry of Dispersionless D-Type Drinfeld-Sokolov Hierarchy

In this paper, the dispersionless D-type Drinfeld-Sokolov hierarchy, i.e. a reduction of the dispersionless two-component BKP hierarchy, is studied. The additional symmetry flows of this hierarchy are presented. These flows form an infinite-dimensional Lie algebra of Block type as well as a Lie algebra of Hamiltonian type.     

多频多色光谱角色散束匀滑新方案

典型的光谱角色散技术中,由于光束带宽受限于高效三倍频,因而无法通过增大带宽来进一步改善焦斑均匀性.结合对四色打靶方案和多级相位调制技术的综合分析,提出了多频、多色光谱角色散束匀滑新方案.该方案能在保持高效三倍频基础上,获得带宽有所加宽,光谱包络近似连续的光源,且在远场匀滑上具有更为独特的优势.结果表明,采用束匀滑新方案后,虽然焦斑会有所增大,但其均匀性却得到明显改善;与典型的束匀滑方案相比,该方案能更为有效地抑制热斑,且达到最佳匀滑效果所需的时间有所减短.此外,通过对阵列光栅中子光栅刻线方向的自由组合可以实现多维光谱角色散的效果.     

超短脉冲在光子晶体中传播时的色散参量

利用最小二乘拟合法分析了光子晶体的能带结构,定量分析了二维光子晶体的色散参量.为了考虑脉冲各频率的作用,通过引入与频率分量相关的权重因子,从而解析了群速度和平均群速度色散,进而解析出脉冲波络渐变的理论结果.通过FDTD数值模拟后,发现数值模拟结果与理论解析结果完全相吻合.本文处理光子晶体的色散参量的方法,为制作光子晶体色散器件如光子晶体色散补偿器、脉冲展宽和压缩器有一定的借鉴作用.     

Mechanical properties of jammed packings of frictionless spheres under an applied shear stress

By minimizing a thermodynamic-like potential, we unbiasedly sample the potential energy landscape of soft and frictionless spheres under a constant shear stress. We obtain zero-temperature jammed states under desired shear stresses and investigate their mechanical properties as a function of the shear stress. As a comparison, we also obtain the jammed states from the quasistatic-shear sampling in which the shear stress is not well-controlled. Although the yield stresses determined by both samplings show the same power-law scaling with the compression from the jamming transition point J at zero temperature and shear stress, for finite size systems the quasistatic-shear sampling leads to a lower yield stress and a higher critical volume fraction at point J. The shear modulus of the jammed solids decreases with increasing shear stress. However, the shear modulus does not decay to zero at yielding. This discontinuous change of the shear modulus implies the discontinuous nature of the unjamming transition under nonzero shear stress, which is further verified by the observation of a discontinuous jump in the pressure from the jammed solids to the shear flows. The pressure jump decreases upon decompression and approaches zero at the critical-like point J, in analogy with the well-known phase transitions under an external field. The analysis of the force networks in the jammed solids reveals that the force distribution is more sensitive to the increase of the shear stress near point J. The force network anisotropy increases with increasing shear stress. The weak particle contacts near the average force and under large shear stresses it exhibit an asymmetric angle distribution.     

一种新型微结构光纤的设计与数值研究

提出了一种新型双包层结构的微结构光纤(MOF),利用有限元法对其模场面积、损耗及色散系数随波长的变化规律进行了数值模拟与分析,并在相同条件下与传统的双包层MOF作了比较。结果表明,该种光纤不但结构新颖,而且较传统光纤有更优异的色散性能。通过合理优化,设计了几种在500nm波长范围内保持低平色散和较大模场面积的新型双包层MOF。这种光纤结构的提出对以后的理论研究和工艺制备具有一定的参考意义。     

环中环结构谐振腔中的耦合谐振透明特性研究

在考虑耦合器插入损耗的情况下,理论分析了环中环结构谐振腔的耦合谐振透明效应.利用迭代法推导了整个结构的透过系数和有效相移,从而得到考虑了插入损耗的该结构的色散.研究表明,整个结构的有效相移,群速度和带宽,可通过耦合器的插入损耗、环中环结构中环与环周长之间的倍数以及环的个数来控制,这在旋转传感、光学时延线、光缓存、滤波等方面的应用有重要意义. 关键词： 环中环结构 耦合谐振透明 色散 慢光     

Microwave dielectric and magnetic properties of superparamagnetic 8-nm Fe3O4 nanoparticles

The superparamagnetic 8-nm Fe₃O₄ nanoparticles were successfully prepared by chemical oxidation process. For the complex permittivity, the dual dielectric relaxation processes have been proved by two overlapped Cole–Cole semicircles, and the natural resonance frequency is 3.03 GHz for the complex permeability. The maximum reflection loss value reaches −55.5 dB at 6.11 GHz with 3.85 mm in the thickness of the absorbers for the superparamagnetic 8-nm Fe₃O₄ nanoparticles which is better than that of 150 nm and 30 nm Fe₃O₄ nanoparticles. It is believed that the superparamagnetic 8-nm Fe₃O₄ nanoparticles can be used as a kind of candidate for microwave absorber.     

Stripping voltammetry of Pb and Cu using a microcantilever electrode

Microfabricated silicon microcantilevers coated with gold on one side have been used as working electrode in a three-electrode electrochemical arrangement. In addition to electrochemical current, cantilever bending has been used as a signal for monitoring electrode reactions on the cantilever surface. The microcantilever bending was measured by an optical beam deflection method as the surface potential was scanned and electrochemical reactions occurred on the surface. The microcantilever bending due to differential surface stress was used to sense Pb and Cu using cyclic voltammetry (CV) and linear sweep stripping voltammetry (LSSV).     

MeV-ion axial surface-channeling from an electron irradiated KCl(0 0 1) surface

Surface-channeling of protons incident with 5 mrad on an electron-irradiated surface is investigated using a 0.55 MeV beam of protons. The target surface is KCl(0 0 1), which is damaged by electron-stimulated desorption with 5 keV electron irradiation. The direction of the incident beam is adjusted along the 〈1 0 0〉 and 〈1 1 0〉 channeling conditions and the channeling-dips of the scattering yields are observed. The irradiation dose-dependence of the minimum yields and widths of the dips is measured. Two dips are compared, i.e., for the 〈1 0 0〉 and 〈1 1 0〉 channelings. By increasing the irradiation dose up to 2 × 10¹⁶ cm⁻², the dip around the 〈1 0 0〉 axis becomes opened, but that of the 〈1 1 0〉 axis becomes shallow. The irradiated surfaces are observed to have many overlapped terraces of sub-micron with monolayer steps. The surface morphology deformed by the irradiation effects to truncate trajectories of the 〈1 0 0〉 channeling protons. This roughness of the surface is more effective for the trajectories of the 〈1 1 0〉 channeling protons. The protons incident on the rough surface along the 〈1 1 0〉 axis are not reflected from the atomic row but reflected by a potential of the surface with steps. Results by a simple computer simulation of the trajectories of protons at stepped surfaces also indicate the scattering processes.     

光孤子对的振幅比与相位差对传输的影响

利用分步傅里叶变换法分别求解含三阶色散效应和不考虑三阶色散情况下的光孤子非线性薛定谔（NLS）方程,通过数值求解发现三阶色散效应会使孤子对脉冲发生单边振荡,并在振荡侧逐级产生次脉冲。讨论孤子对的两束孤子脉冲之间的振幅比与相位差对传输的影响,发现在不考虑三阶色散的情况下,振幅比与相位差均对孤子对的传输有显著影响,在考虑三阶色散效应时,只有相位差对孤子对的传输产生影响,并可以导致脉冲能量转移。