Oscillatory disturbance in force calibration of optical tweezers

In the calibration of the optical trap stiffness, it is found that there appears an attenuating oscillation as an oscillatory disturbance added to the trapped bead movement, when the scanner is driven by a triangular wave input.An equivalent oscillator model is put forward to explain the mechanism of the oscillatory disturbance. Both the measurements and calculations show that the attenuating oscillation comes from the oscillation of the scanner and the triangular wave drive causes this additional oscillation of the scanner. Furthermore, the analysis indicates that the oscillatory disturbance will become stronger, when the stiffness of the trap increases or the natural frequency of the scanner decreases. We adopt another driving way, i.e. a sinusoidal wave input is used instead of the triangular wave input. Our experiment has verified that in this case the oscillatory disturbance is eliminated completely.     

K(a)hler流形上的Lagrange力学

讨论了K(a)hler流形上的Lagrange力学,并给出Lagrange算子、Lagrange方程、作用泛函、Hamilton原理和Hamilton方程等复的数学形式.     

Effect of void formation during MEVVA tungsten ion implantation on the microstructure and surface properties of H13 die steel

H13 die steel was implanted with tungsten using a metal vapour vacuum arc (MEVVA) ion source. When the pulsed beam current density of tungsten ions increased to 6mA?cm^-2, some voids appeared in the high voltage electron microscope (HVEM) micrograph, which would disappear at an annealing temperature of 600℃. HVEM and x-ray diffraction were used for observing the phase structure of the annealed and un-annealed H13 steel after the steel was implanted. Results of wear and hardness tests indicated that whether the voids appear significantly influences the hardness and wear of H13 steel. Reasons for the formation of voids and the relation between the surface mechanical property and voids are discussed in terms of collision theory.     

时滞Lurie系统的绝对稳定性准则

本文用频率法研究Luire系统的绝对稳定性，得到了系统在小时滞和全时滞情形的绝对稳定性判据．     

具有绝对连续测度状态的超布朗运动

设X={Xt,Pμ}是d维超布朗运动,具有分支率函数A与一般分支机制ψ.讨论A满足什么条件时可以保证Xt具有绝对连续状态.特别当ψ（s,x,z）=z2时,Dawson与Fleischmann[2]讨论了类似问题.本文对他们的讨论进行了改进,将他们的结果推广到了ψ一般的情形,并且简化了他们对A所加的条件.     

PIXE分析技术在大气环境研究中的应用

概述了ＰＩＸＥ分析技术在大气颗粒物特性、来源等研究中的几个应用实例． Some examples of applying PIXE on the atmospheric particulate are briefly introduced in this paper.     

ABSTRACT FUNCTIONS OF BOUNDED VARIATION AND ABSOLUTE CONTINUITY

As well known that in 1938,I. M. Gelfand firstly introduced abstract functions of bounded variation from [a,b] to a Banach space. After Gelfand‘s work,many mathematicians investigated various properties and of this kind of abstract functions, and also paid attention to the abstract functions of absolute continuity In this paper, we summarize to explain our work [1-17] about this topic.