Point-wise hierarchical reconstruction for discontinuous Galerkin and finite volume methods for solving conservation laws

We develop a new hierarchical reconstruction (HR) method  and  for limiting solutions of the discontinuous Galerkin and finite volume methods up to fourth order of accuracy without local characteristic decomposition for solving hyperbolic nonlinear conservation laws on triangular meshes. The new HR utilizes a set of point values when evaluating polynomials and remainders on neighboring cells, extending the technique introduced in Hu, Li and Tang [9]. The point-wise HR simplifies the implementation of the previous HR method which requires integration over neighboring cells and makes HR easier to extend to arbitrary meshes. We prove that the new point-wise HR method keeps the order of accuracy of the approximation polynomials. Numerical computations for scalar and system of nonlinear hyperbolic equations are performed on two-dimensional triangular meshes. We demonstrate that the new hierarchical reconstruction generates essentially non-oscillatory solutions for schemes up to fourth order on triangular meshes.     

大功率半导体激光泵浦固体激光器脉冲电源设计

介绍一种大功率半导体激光泵浦固体激光器(DPSSL)脉冲驱动电源的设计电路及其控制方法。根据半导体激光器的工作特性,采用前级电容充电电路与后级脉冲电流产生电路相结合的电路结构。由于LCC谐振电路具有软开关特性和抗负载短路、开路的能力,又能够实现对储能电容恒流充电的功能,因此其适合做为脉冲电源中储能电容的充电电路;后级脉冲电流产生电路选择大功率MOSFET做为主控器件,利用MOSFET饱和区的漏极电流可控性,通过栅极电压控制产生负载脉冲电流。控制部分采用模拟与数字相结合的控制方式,使脉冲电源控制更加灵活,引入脉冲电流指令给定积分器,可以更有效地控制脉冲电流上升过程,抑制电流过冲,提高控制精度,使脉冲驱动电源产生类似矩形波的大功率脉冲电流。搭建了脉冲功率为28 kW的实验平台,实验达到的指标：脉冲电流幅值80 A,脉冲电压350 V,脉冲宽度100 μs,重复频率100 Hz。     

一种改进的模糊阈值选取方法

提出了一种改进的模糊阈值选取方法。针对传统的模糊阈值法隶属函数窗宽不容易确定的出发点，结合传统的易于实现的阈值选取方法，巧妙的绕过了确定窗宽的问题，能够结合模糊阈值法和该传统阈值法各自所能达到的优点，并且方法非常简单，明了。实践证明，这种方法是行之有效的，并具有较强的场景适应能力。     

用Java实现网上结构图实验仿真

基于线性系统仿真的连接矩阵方法，用Java语言开发面向结构图的实验仿真程序，以Applet小应用程序的形式插入网页中运行，实现了信号与系统网上实验教学中的结构图实验仿真。经试用，程序在浏览器中运行正常，可以完成一般线性系统仿真，与以MATLAB，LABView等程序开发的实验仿真程序相比，该程序运行环境简单，几乎所有常用的Web浏览器都支持Java运行，不需另行安装相应组件。对于线性系统结构图，实现了所见即所得的图形化编程环境，具有较好的人机交互性。     

Positivity-preserving high order discontinuous Galerkin schemes for compressible Euler equations with source terms

In [16], [17], we constructed uniformly high order accurate discontinuous Galerkin (DG) schemes which preserve positivity of density and pressure for the Euler equations of compressible gas dynamics with the ideal gas equation of state. The technique also applies to high order accurate finite volume schemes. For the Euler equations with various source terms (e.g., gravity and chemical reactions), it is more difficult to design high order schemes which do not produce negative density or pressure. In this paper, we first show that our framework to construct positivity-preserving high order schemes in [16], [17] can also be applied to Euler equations with a general equation of state. Then we discuss an extension to Euler equations with source terms. Numerical tests of the third order Runge–Kutta DG (RKDG) method for Euler equations with different types of source terms are reported.     

Multi-wavelength metal-dielectric nonpolarizing beam splitters in the near-infrared range

A 21-layer multi-wavelength metal-dielectric nonpolarizing cube beam splitter was designed by use of an optimization method and theoretically investigated in the near-infrared range. The angular dependence of the reflectance and differential phases induced by reflection and transmission were presented. The simulation results revealed that the non-polarizing effect could be achieved for both the amplitude and phase characteristics at 1310 and 1550 nm. The differences between the simulated and the target reflectance of 50% are less than 2% and differential phases are less than 5°in the range 1300–1320 nm and 1540–1550 nm for both p- and s-components.     

A high order moving boundary treatment for compressible inviscid flows

We develop a high order numerical boundary condition for compressible inviscid flows involving complex moving geometries. It is based on finite difference methods on fixed Cartesian meshes which pose a challenge that the moving boundaries intersect the grid lines in an arbitrary fashion. Our method is an extension of the so-called inverse Lax–Wendroff procedure proposed in [17] for conservation laws in static geometries. This procedure helps us obtain normal spatial derivatives at inflow boundaries from Lagrangian time derivatives and tangential derivatives by repeated use of the Euler equations. Together with high order extrapolation at outflow boundaries, we can impose accurate values of ghost points near the boundaries by a Taylor expansion. To maintain high order accuracy in time, we need some special time matching technique at the two intermediate Runge–Kutta stages. Numerical examples in one and two dimensions show that our boundary treatment is high order accurate for problems with smooth solutions. Our method also performs well for problems involving interactions between shocks and moving rigid bodies.     

相对论速调管放大器杂模振荡的抑制

研究了相对论速调管放大器（RKA）输入腔和中间腔之间的高阶杂模振荡问题。通过模式分析得知杂模在谐振腔内为TM11模式,而在漂移管中表现为TE11模式,针对该模式能在漂移管中传输的特性,利用漂移管内壁涂覆吸波材料吸收杂模功率的方法进行抑制。通过3维粒子模拟程序,分析了吸波材料的电导率及涂覆长度对抑制杂模增长率的影响。利用模拟分析得到的结果,对漂移管中涂覆吸波材料的RKA输入腔及中间腔结构进行了3维模拟研究,结果显示:合适的吸波材料的引入能够很好地抑制RKA输入腔和中间腔之间的杂模振荡。     

牛血清白蛋白与纳米银的相互作用及半胱氨酸的检测

表面无保护剂的小粒径纳米银与牛血清白蛋白（BSA）的相互作用可引起BSA特征荧光的猝灭。而若先向体系中加入半胱氨酸（Cys）,其巯基与A g的强相互作用可降低体系中的纳米银与BSA的相互作用,使BSA荧光猝灭程度降低。体系在350nm处荧光强度的变化与Cys的浓度呈线性关系,线性范围为3.3×10-8—3.3×10-4m ol/L,相关系数为0.9982。基于这种光谱的变化,可用来测定Cys。     

一种基于多特征融合的新型光谱相似性测度

光谱相似性测度是高光谱遥感影像定量化分析和精细地物直接识别的基础,光谱特征的选择和刻画方式是光谱相似性测度的关键.研究表明,利用光谱的单一特征无法全面反应地物光谱间的相似性,光谱识别时需要综合考虑光谱的多种特征.本文在几何距离、相关系数和相对熵的基础上提出了一种结合多种光谱特征的新型光谱相似性测度,即光谱泛相似测度(s...