具简单界约束变分不等式的拟牛顿算法的收敛性分析

１．引言 牛顿型方法是解变分不等式的一类重要数值迭代算法．其局部收敛性质的研究也取得了很好的成果（见［５］等）．近几年来,此类算法的全局收敛性研究也得到了许多进展．如阻尼牛顿法的局部超线性乃至二阶收敛性质的研究（见［４,６,９; １１, １２, １４; １６］等）．然而,对于计算上更为实用的拟牛顿法的研究还不多见．文［１８］基于祁力群等在［１４］中给出的逐次逼近牛顿型法,建立了一种解非线性互补问题的拟牛顿法,并得到了类Ｂｒｏｙｄｅｎ算法的全局收敛性．但是,该方法有以下两个缺陷：１．线搜索可能不能实现…     

Reverse-saturated absorption and narrow line in the absorption spectrum of a V-type three-level medium

We study the absorption spectrum of a V-type three-level atom when the laser beam interacts only with one of its two transitions. With the presence of vacuum-induced quantum interference, the absorption spectrum shows some new interesting features, which include ultranarrow absorption line, transparency, and a reverse-saturated absorption that is characterized by a larger absorption with increasing laser intensity.     

速度调制激光光谱线型的研究

考虑了速度调制光谱实验中气体分子碰撞所引起的压力增宽对谱线线型的影响,对已有的速度调制光谱的理论进行了修正,并用新的理论对所得到的实验谱线进行了精密仿真.结果表明,修正后的理论与实验结果完全符合,在研究分子离子的碰撞动力学以及进行谱线的高精细分辨等方面将具有广阔的应用前景     

同轴对称型主耦合器的研制

 为更进一步提高注入器的性能,注入器使用的耦合器采用同轴对称耦合。给出了同轴对称耦合器的理论计算、具体设计以及实验情况。经过对模型耦合器多次微波传输测量调试以及对各个部位反射的细致分析,最后获得了较好的结果,证明了该耦合器的实用性和可行性。     

Minkowski空间中定向曲面上的第二类松弛弹性线

在Minkowski空间中,定义了定向曲面上的第二类松弛弹性线,推导了在定向曲面上的第二类松弛弹性线的Euler-Lagrange方程．进一步阐明了,这些曲线是否落在曲率线上,最后给出相关的实例．     

Topological Aspect and Bifurcation of Disclination Lines in Two—Dimensional Liquid Crystals

Using φ-mapping method and topological current theory,the topological structure and bifurcation of disclination lines in two-dimensional liquid crystals are studied.By introducing the strength density and the topological current of many disclination lines,the total disclination strength is topologically quantized by the Hopf indices and Brouwer degrees at the singularities of the director field when the Jacobian determinant of director field does not vanish.When the Jacobian determinant vanishes,the origin,annihilation and bifurcation processes of disclination lines are studied in the neighborhoods of the limit points and bifurcation points,respectively.The branch solutions at the limit point and the different directions of all branch curves at the bifurcation point are calculated with the conservation law of the topological quantum numbers.It is pointed out that a disclination line with a higher strength is unstable and it will evolve to the lower strength state through the bifurcation process.     

傅立叶变换激光腔内吸收光谱方法研究吸收谱线的强度与线形

Based on Fourier-transform intra-cavity laser absorption spectroscopy (FT-ICLAS) setup reported, a signal differential module is introduced to reduce the noise rising from the fluctuation of the laser power and to improve the quality of the interferogram obtained in the experiment. The capability to do quantitative measurement was demonstrated by recording the atmospheric oxygen absorption near 760 nm. The v=6 local mode stretching overtone spectra of phosphine were recorded with different sample pressure. The pressure caused self-broadening and line shift parameters of this band were achieved.     

Study of particle behaviour at the edge in HT-7 tokamak

The cross-field diffusion coefficient (D_⊥) at the edge in the HT-7 tokamak is close to the Bohm value when the line average electron density ranges from 1.5×10^{19} to 3.0×10^{19}m^{-3}. The energy profile of the particles is derived directly from the H_α(D_α) line shape; the dissociative excitation of molecules is dominating when the local electron temperature is above 10eV. By means of the Monte Carlo method the D_α line shape is also simulated. We find that the molecular dissociation contributes to 57% of neutral atoms and 53% of emission intensity in front of the limiter, and 85% of neutral atoms and 82% of emission intensity in front of the wall. The influence of atomic and molecular processes on the energy balance is discussed for the scrape-off layer (SOL), and the power loss from molecular dissociation is found to be 6×10^4kW at the SOL. The ion Bernstein wave (IBW) can effectively suppress the magnetohydrodynamic behaviour, the fluctuation levels and the turbulence; the D_⊥ in front of the limiter declines from 0.84 to 0.2m^2·s^{-1} and the particle confinement time rises from 9 to 12ms.     

The penetration, diffusion and energy deposition of high—energy photon＊

This paper presents a new theory for calculating the transport of high-energy photons and their secondary charged particles. We call this new algorithm characteristic line method, which is completely analytic. Using this new method we cannot only accurately calculate the transport behaviour of energetic photons, but also precisely describes the transport behaviour and energy deposition of secondary electrons, photoelectrons, Compton recoil electrons and positron－electron pairs. Its calculation efficiency is much higher than that of the Monte Carlo method. The theory can be directly applied to layered media situation and obtain a pencil-beam-modelled solution. Therefore, it may be applied to clinical applications for radiation therapy.     

HIRFL的辐照治癌终端

为了进行重离子束流的肿瘤治疗和生物效应的研究,HIRFL正在建造一个辐照治癌终端.主要介绍了该终端的束流制备方法和束流线的布局、性能参数和束流光学设计计算结果. A new experimental terminal is being constructed at HIRFL for research program of proton and heavy ion therapies and irradiation effects of living things . The beam preparation method and the layout, performance and beam optics calculation of the beam line are presented.