Analytical vectorial structure of Hermite-cosine-Gaussian beam in the far field

Based on the vector angular spectrum representation of electromagnetic beams and the method of stationary phase, the vectorial structure of a Hermite-cosine-Gaussian (HcosG) beam in the far field is derived in analytical form. Energy flux distributions for the TE term, TM term and the whole beam are represented. The vectorial structures of HcosG beams with different Hermite models are depicted. The effects of cosine displacement parameters on the vectorial structure are also demonstrated. The results may provide a flexible approach to manipulate HcosG beams in free space.     

Enhanced hardness in B-doped ZnO thin films on fused quartz substrates by pulsed-laser deposition

B-doped ZnO thin films have been fabricated on fused quartz substrates using boron-ZnO mosaic target by pulsed-laser deposition technique, and the mechanical properties have been studied by nanoindentation continuous stiffness measurement technique and transmission electron microscope (TEM). Nanoindentation measurement revealed that the hardness of B-doped ZnO films, 9.32 ± 0.90 to 12.10 ± 1.00 GPa, is much greater than that of undoped ZnO films and very close to that of traditional semiconductor Si. The mean transmittance (%) is larger than 81% in the visible range (380-780 nm) for all the films, and the Hall effect measurement showed that the carrier density is around 2 × 10²⁰ cm⁻³ and the resistivity lower than 3 × 10⁻³ Ω cm. TEM characteristics show undoped thin films have more amorphous area between grains while the B-doped ZnO films have thin grain boundaries. We suggest that the grain boundaries act as the strain compensation sites and the decrease in thickness of grain boundaries enhances the hardness of the B-doped ZnO films.     

Analysis on surface charging of insulator prior to flashover in vacuum

Prior to the flashover across an insulator in vacuum, the insulator surface is usually charged. It is of great importance to investigate the charging phenomena for better understanding the flashover characteristics. It is considered that there are two kinds of mechanisms closely related to the surface charging of insulator i.e., the secondary electron emission occurred over an insulator, and while employing a perfect electrode contact ahead of electron emission into vacuum, the charge injection and accumulation occurred inside the surface layer of an insulator. Based on the rigorous analysis of the kinetic processes of both primary and secondary electrons, the related surface charges were theoretically deduced. Involving the detrapping of charges trapped and the recombination of charges injected, the charging process due to charge injection and accumulation was analyzed. Some formulas were given to express the density of surface charges.     

水波聚焦的研究

利用水波槽装置观察到了水波聚焦现象,并利用流体力学中的表面波理论,借用光学中对折射率的定义,推出了与光线通过薄透镜聚焦完全对应的水波聚焦理论公式,以及焦距随水深变化的关系曲线,从而将水波的几何特性与光波的几何特性统一起来。     

Self-localisation of dipolar Bose-Einstein condensates in leaking optical lattices

We investigate self-localisation of dipolar Bose-Einstein condensates (BECs) in 1D nonlinear lattices via boundary dissipation in a dissipative nonlinear Schrödinger model (DNLS) with nearest-neighbour dipole-dipole interactions (DDI). By including both contact interactions and DDIs, we observe that a rich variety of self-localised modes (i.e., single discrete breathers, moving breathers and multi-breathers) can exist in dipolar systems in optical lattices. Furthermore, we find that DDIs can suppress the formation of single discrete breathers and support the formation of multi-breathers. Our results show that including both contact interactions and DDIs may provide a way to experimentally obtain stationary multi-breathers in optical lattices via boundary dissipations.     

大学物理演示实验工作的新思路、新进展

北京交通大学在“国家工科物理教学基地”建设的过程中,以建设物理演示与探索实验室为特色工作,取得了突出成绩．不仅在2004年国家工科物理教学基地验收时以其突出的特色,获得了“优秀基地”的称号,而且在2005年获得国家教学成果特等奖．我们认为这并不意味着这项工作的结束,而是以此做为将演示实验工作推向更高水平的开端．从2007年开始,我们一方面不断充实提高,保持演示实验室的动态发展;另一方面着力研发随堂演示实验并投入使用,取得了显著成效．     

Microstructure and optical properties of nitrogen-doped ZnO film

The nitrogen doping of ZnO film deposited by the magnetron sputtering method is subsequently realized by the hydrothermal synthesis method.The nitrogen-doped ZnO film is preferably(002) oriented.With the increase of hexamethylenetetramine(HMT) solution concentration,the average grain size of the film along the 002 direction almost immediately decreases and then monotonously increases,conversely,the lattice strain first increases and then decreases.The structural evolution of the film surface from compact and even to sparse and rough is attributed to the enhanced nitrogen doping content in the hydrothermal process.The transmission and photoluminescence properties of the film are closely related to grain size,lattice strain,and nitrogen-related defect arising from the enhanced nitrogen doping content with HMT concentration increasing.     

A Note on Resistance of NPT to Mixture of Separable States

We study the stability of NPT property of an arbitrary pure entangled state under the mixture of arbitrary pure separable states. For bipartite pure states with Schmidt number n (n>1) which is NPT, we show that this state is still NPT when it is mixed with no more than $\frac {n(n-1)}{2}-1$ arbitrary pure separable states. This result is generalized to multipartite case.