Stability and bifurcation analysis in the cross-coupled laser model with delay

The dynamics of the cross-coupled laser model with delay has been investigated. The investigation confirms that a Hopf bifurcation occurs due to the existence of stability switches when the product of the coupling strengths varies. An algorithm for determining the stability and direction of the Hopf bifurcation is derived by applying the normal form theory and the center manifold theorem. Finally, some numerical simulations are carried out to illustrate the analytic results.     

Molecular positional order in a dipalmitoylphosphatidic acid Langmuir–Blodgett monolayer by atomic force microscopy

Langmuir–Blodgett monolayers of dipalmitoylphosphatidic acid were studied by using atomic force microscopy on the large- and nano-scale. A molecularly resolved image was achieved at high surface pressure. The monolayer shows a dramatic long-range orientational and positional ordering of molecular organization of aliphatic tails. The ordered molecular arrangement of aliphatic tails may result from the strong intermolecular hydrogen bonding interactions between adjacent phosphate groups in the polar region.     

Luminescence properties of a new Mn-activated red long-afterglow phosphor

A new phosphor, CaZnGe₂O₆:Mn²⁺, which emits red long-lasting phosphorescence centered at 648 nm upon UV light excitation, is prepared by the conventional high-temperature solid-state method and its luminescent properties are systematically investigated in this paper. XRD, photoluminescence, thermoluminescence spectra and afterglow decay curve are used to characterize the synthesized phosphor. This phosphor is well crystallized by calcination at 1150 °C for 3 h and possesses excellent performance. The color coordinate values of this phosphor are x=0.64, y=0.26 under 250 nm UV light excitation. Under 250-nm UV light irradiation, this phosphor shows obvious long-lasting phosphorescence that can be seen with the naked eye in the dark clearly after the irradiation source has been removed for more than 3 h. The possible mechanism of this red-light-emitting long-afterglow phosphor is also investigated based on the experiment results.     

超高速摄影仪转镜谐响应的数值与试验分析

 对超高速摄影仪转镜进行了谐响应数值分析,得到转镜在正弦周期激励下的幅频响应曲线、应力等值线图。转镜的幅频响应曲线在354 Hz处出现峰值,一阶扭转和二阶弯曲共振带出现了叠加,在1 600 Hz处曲线有细微的波动,转镜在一阶弯曲共振点处的幅频曲线幅值远大于其在1 600 Hz处的幅值,共振点处的等效应力是其匀速运转时的358倍。在转镜试验测试系统上测得的转镜幅频曲线在297 Hz 和355 Hz处均出现了峰值,数值解和实验结果能够很好地吻合。这说明转镜的一阶弯曲固有频率共振带是转镜的危险速度带,一阶弯曲是转镜出现动力学破坏的主要原因。仿真结果与实验结果的一致性表明,利用数值方法预测转镜的设计能否成功克服受迫振动引起的破坏是有效的。     

发散型准直器限束孔应用于被动散射质子放疗可行性研究

被动散射质子放疗（Passive Scattering Proton Therapy,PSPT）是质子治疗的主要技术之一,束流通过准直器限束孔（Aperture）时因边缘散射效应导致患者体内剂量分布偏离理想状态。使用蒙特卡洛软件TOPAS（TOol for PArticle Simulation）对质子束流经过发散型与传统型准直器限束孔后进入水模体中的过程建模,分析两种准直器的边缘散射效应对剂量及中子能谱分布的影响,分别测试70,110,160,200,230,250 MeV能量下的质子束流,发现传统Aperture在70 MeV的质子束下边缘散射效应最明显,在距水箱表面0.5 cm深度处横向剂量曲线平坦度、均匀度分别达到4.63%,108.05%,随着深度增加边缘散射效应逐渐减弱,在布拉格峰位置处接近消失。使用发散型准直器限束孔后,在70 MeV下平坦度、均匀度分别降至1.28%,101.31%,对于100,160,200 MeV质子束均有不同程度改善。对于能量接近250 MeV的质子束,发散型准直器限束孔设置下横向剂量曲线并无优势。边缘散射效应导致的剂量不均随水深增加而减弱,对于各个能量质子,使用发散型准直器限束孔后次级中子减少。研究结果表明,发散型准直器限束孔应用于PSPT效果显著,为进一步应用于临床提供数据支撑。Passive Scattering Proton Therapy (PSPT) is one of the main technologies for proton radiation therapy. The dose distribution in the patient deviates from the ideal state due to the edge scattering effect when the beam passes through the aperture. In this paper, TOPAS, a Monte Carlo software, was used to simulate the passive scattering treatment head. The influence of the edge scattering effect of the two aperture sets on the dose distribution was compared. The proton beam at 70, 110, 160, 200, 230 and 250 MeV was tested respectively. We found that the scattering effect of the conventional aperture is most obvious at 70 MeV, and the flatness and hetergeneity of the lateral dose curve at the inlet of 0.5 cm of the tank reach 4.63%, 108.05%, respectively. The dose shift caused by the edge scattering effect decreases with increasing water depth and disappears at the Bragg peak. After using the divergent aperture, the flatness and uniformity at 70 MeV are reduced to 1.28% and 101.31%, respectively, and the 100, 160, and 200 MeV proton beams are improved in different extents. For a proton beam with an energy close to 250 MeV, there is no advantage in the lateral dose curve of the divergent aperture. For all energy protons, the secondary neutrons are reduced with divergent aperture. The results show that the divergent aperture is effective for PSPT and this study provides data support for further application in clinical practice.     

脉宽对超快激光平衡光学互相关测距影响的研究

采用基于平衡光学互相关的超快激光绝对距离测量方法对大气中一段15m的空间距离进行了测量。仿真了不同脉冲宽度、不同光强损耗对平衡互相关信号的影响,理论分析表明脉宽展宽对平衡互相关信号影响较大。采用中心波长为1037nm、重复频率为260MHz的超快激光器光源,搭建了测距系统。实验验证了在脉宽分别为1.44ps、132fs时,对平衡互相关信号的影响,实验结果符合理论分析。研究了不同脉冲宽度对测量分辨力的影响,结果显示,采样时间为5ms,脉宽为1.44ps,测量分辨力不低于50μm;而当脉宽为132fs时,测量分辨力优于5μm。     

含有未建模动态的多输入非线性串级系统的自适应控制

本文对一大类含有未知参数和未建模动态的多输入非线性串级系统,基于backstepping递推设计方法,进行了自适应控制设计,得到的参数自适应律的阶次等于未知参数的个数,故该设计是非过参数化的.当自适应控制律作用于该系统时,闭环系统的所有信号是有界的.并且给出了第一子系统的状态界的一个估计.     

K-ε-T model of dense liquid-solid two-phase turbulent flow and its application to the pipe flow

To predict the characteristics of dense liquid-solid two-phase flow, K-ε-T model is established, in which the turbulent flow of fluid phase is described with fluid turbulent kinetic energy K_f and its dissipation rate ε_f, and the particles random motion is described with particle turbulent energy K_p and its dissipation rate ε_p and pseudothermal temperature T_p. The governing equations are also derived. With K-ε-T model, numerical study of dense liquid-solid two-phase turbulent up-flow in a pipe is performed. The calculated results are in good agreement with experimental data of Alajbegovic et al. (1994), and some flow features are captured.     

Mixed finite element methods for incompressible flow: Stationary Stokes equations

In this article, we develop and analyze a mixed finite element method for the Stokes equations. Our mixed method is based on the pseudostress‐velocity formulation. The pseudostress is approximated by the Raviart‐Thomas (RT) element of index k ≥ 0 and the velocity by piecewise discontinuous polynomials of degree k. It is shown that this pair of finite elements is stable and yields quasi‐optimal accuracy. The indefinite system of linear equations resulting from the discretization is decoupled by the penalty method. The penalized pseudostress system is solved by the H(div) type of multigrid method and the velocity is then calculated explicitly. Alternative preconditioning approaches that do not involve penalizing the system are also discussed. Finally, numerical experiments are presented. © 2009 Wiley Periodicals, Inc. Numer Methods Partial Differential Eq, 2010     

直圆管突扩通道内宾汉流体湍流流场的数值研究

本文依据牛顿流体中建立的标准ｋ＿ε湍流模型这一基本思想，考虑宾汉流体的本构方程，建立了适用于求解宾汉流体湍流流动的控制方程·采用压力修正算法，实现了宾汉流体速度场与压力场的关联·在理论研究基础上，对直圆管突扩通道内宾汉流体湍流流动进行了数值研究，并探讨了直圆管突扩通道内宾汉流体湍流流动机理·