胶体铁磁流体的光子特性研究

这篇综述回顾了我们今年来在铁磁流体方面的一些研究工作。铁磁流体是一种纳米磁颗粒或亚铁磁颗粒悬浮在基液（如：水或煤油）中形成的悬浮液。铁磁流体之所以受到广泛关注,是因为它们在许多方面都有着潜在应用,例如在机械工程和生物医学等领域。再次综述中,我们首先介绍了铁磁流体的场感应各向异性结构,然后,介绍了几种铁磁流体基软物质材料的光学性质,即：光学负折射、磁控光子待隙和非线性光学响应。我们采用的研究方法主要是分子动力学模拟,有效煤质近似和有限元模拟.     

热晕瞬态效应的数值模拟

根据瞬态四维（４Ｄ）热晕程序，研究了激光大气传输中热晕瞬变效应及如何过渡到等压近似下的热晕状态，并与等压近似下４Ｄ热晕程序计算结果作了对比，在大约四倍流体力学时间，瞬态４Ｄ热晕程序计算结果逼近等压近似下的结果；另外，还作了相位补偿计算，对光强每平方厘米几千瓦的情况，在理想的自适应光学系统动力学条件下，瞬变阶段的热畸变能相当有效地实时补偿。     

基尔霍夫近似下激光海面漫反射组网通信特性

 针对激光点对点通信方式的不足,根据舰艇编队通信的实际需要,提出了利用海面作为激光漫反射媒介的一对多的组网通信方法,并且采用基尔霍夫近似的方法对激光海面漫反射通信的特性进行了研究。通过对激光光束入射海面后产生的散射场的分析计算,采用遮蔽函数对计算过程中的阴影效应加以修正,得出了较为准确的2维激光海面双站散射系数和后向散射系数,并进行了实验验证,说明了激光海面漫反射组网通信方法的可行性。     

Research on three-dimensional shape reconstruction of circular cylindrical flaw

In this article, three-dimensional Born inverse scattering method is modified to convenient form for a cylindrical specimen that includes three-dimensional defect. One aluminum cylinder with flaw model is prepared and ultrasonic measurements are carried out. The measurement area in the modified methods is restricted in the plane perpendicular to the axis of cylindrical specimen. That’s to say that the method is modified to convenient form to use measured waveforms in the x₁ − x₂ plane. The measured wave data are fed into the inversion method and cross-sectional images are obtained. Then, three-dimensional shape reconstruction of flaw model in aluminum specimen is performed by piling up the cross-sectional images. At the same time, we get the numerical results from all directions by finite element method.     

质子碰撞电离过程中程函近似效应的理论研究

分别利用连续扭曲波方法和初态程函近似-连续扭曲波方法对质子碰撞电离氖原子1s,2s,2p壳层后随电离电子能量变化的单重微分散射截面(SDCS)和二重微分散射截面(DDCS)及总截面进行了计算,所得结果与部分实验数据符合得很好.详细探讨了各壳层SDCS和DDCS的细致结构以及质子碰撞的电离机制.结果表明,对于氖原子2p壳层,随着入射质子能量的增加,SDCS的区域变长,幅度减小,在低能区以软电离为主;而DDCS出现的峰均迅速减小.此外,分析了初态程函近似对SDCS和DDCS的影响,发现该效应对截面的影响在低能入射时非常明显,随着入射能量的增大,这种影响逐渐减弱.     

Weak Coupling and Continuous Limits for Repeated Quantum Interactions

We consider a quantum system in contact with a heat bath consisting in an infinite chain of identical sub-systems at thermal equilibrium at inverse temperature β. The time evolution is discrete and such that over each time step of duration τ, the reference system is coupled to one new element of the chain only, by means of an interaction of strength λ. We consider three asymptotic regimes of the parameters λ and τ for which the effective evolution of observables on the small system becomes continuous over suitable macroscopic time scales T and whose generator can be computed: the weak coupling limit regime λ → 0, τ = 1, the regime τ → 0, λ²τ → 0 and the critical case λ²τ = 1, τ → 0. The first two regimes are perturbative in nature and the effective generators they determine is such that a non-trivial invariant sub-algebra of observables naturally emerges. The third asymptotic regime goes beyond the perturbative regime and provides an effective dynamics governed by a general Lindblad generator naturally constructed from the interaction Hamiltonian. Conversely, this result shows that one can attach to any Lindblad generator a repeated quantum interactions model whose asymptotic effective evolution is generated by this Lindblad operator.     

O + NH反应在3A’’和1A’’势能面上的量子含时波包动力学研究

对于O + NH反应,在3A’’和1A’’ 势能面（Guadagnini R, Schatz G C, Walch S P. Global potential energy surface for the lowest 1A’, 3A’’, and 1A’’ states of HNO [J]. J. Chem. Phys., 1995,10:774）上,我们运用coupled state or centrifugal sudden (CS)近似和close coupling or Coriolis coupled (CC)方法进行了量子动力学计算。通过比较两种方法得到的总的反应几率,我们发现对于两个势能面上的标题反应,CS近似是失效的。我们还讨论了用CS和CC方法得到的速率常数,并进行了结果比较。     

超声探头的响应特性及暂态回波模型

建立检测系统的数学模型,可以更好地理解超声检测的物理本质。分析了超声波从产生、介质中传播、缺陷耦合以及接收的全过程,将缺陷回波表示为探头响应函数与缺陷响应的时域卷积。利用空间脉冲响应和基尔霍夫近似建立了超声波与平面型缺陷的耦合模型,用大平面试块底面回波和大平面响应进行反卷积求得了探头的响应函数,并详细分析了探头在不同偏置位置时不同大小缺陷响应的特点,发现缺陷回波由直达回波和边缘回波组成,直达回波和边缘回波极性相反,且直达回波的幅值远远大于边缘回波。     

Meshless analysis of an improved element-free Galerkin method for linear and nonlinear elliptic problems

We first give a stabilized improved moving least squares(IMLS) approximation, which has better computational stability and precision than the IMLS approximation. Then, analysis of the improved element-free Galerkin method is provided theoretically for both linear and nonlinear elliptic boundary value problems. Finally, numerical examples are given to verify the theoretical analysis.     

自治广义Birkhoff系统的平衡稳定性

研究广义Birkhoff系统的平衡稳定性问题.建立了自治广义Birkhoff系统的平衡方程;给出了自治广义Birkhoff系统的一次近似方程,利用Lyapunov一次近似理论,建立了系统平衡状态稳定性的判据;构建了Lyapunov函数,利用Lyapunov直接法,建立了自治广义Birkhoff系统平衡状态稳定性的判据.给出了若干算例以说明结果的应用.