拟线性双曲组解的奇性形成和特征包络

一、引言如所知,对一阶拟线性双曲型方程组,即使其初值充分光滑,其柯西问题的解一般说来也要在有限时间内产生奇性,即经典解要发生破裂(Blow up),这在力学上对应于激波的产生等自然现象。通常认为奇性的发生起因于同族特征线产生包络。这一事实在力学上虽已多次应用,但在一般情况下其实还只是一个猜测,有必要在理论上加以分析和讨论。本文对可化约拟线性双曲组的柯西问题肯定地回答了上述的问题,所得的结果对一般情形的讨论也将有一定的启发。     

一种快速跟踪的单站无源定位算法

在单站无源定位与跟踪中，扩展卡尔曼滤波算法对初始值依赖性较强，在观测方程非线性较强时收敛速度和稳定性无法满足要求，因此文中提出了一种优先估计慢变化参量的定位跟踪算法，通过仿真比较验证了该算法具有较好的收敛速度和稳定性，具有对滤波初始值的依赖性小的优点。     

一种基于"当前"统计模型的机动辐射源单站无源定位方法

针对采用非线性较强的脉冲到达时间差、观测角等参数的固定单站对机动运动辐射源无源定位跟踪系统,提出了一种用"当前"统计模型对角速度建模,利用UKF滤波进行滤波,跟踪机动辐射源的定位方法.同时对非线性定位系统的可观测性进行了分析,得到了与辐射源作匀速运动相同的可观测条件.仿真结果表明,本文提出算法对固定单站在角速度变化的机动运动无源定位中跟踪效果更佳.     

Dispersion characteristics of two-dimensional unmagnetized dielectric plasma photonic crystal

This paper studies dispersion characteristics of the transverse magnetic (TM) mode for two-dimensional unmagnetized dielectric plasma photonic crystal by a modified plane wave method. First, the cutoff behaviour is made clear by using the Maxwell--Garnett effective medium theory, and the influences of dielectric filling factor and dielectric constant on effective plasma frequency are analysed. Moreover, the occurence of large gaps in dielectric plasma photonic crystal is demonstrated by comparing the skin depth with the lattice constant, and the influence of plasma frequency on the first three gaps is also studied. Finally, by using the particle-in-cell simulation method, a transmission curve in the \Gamma -X direction is obtained in dielectric plasma photonic crystal, which is in accordance with the dispersion curves calculated by the modified plane wave method, and the large gap between the transmission points of 27~GHz and 47~GHz is explained by comparing the electric field patterns in particle-in-cell simulation.     

新型准光学可调辐射源研究

 本文介绍一种新型毫米波准光学可调辐射源,它采用由面对称三反射镜准光学谐振腔和绕射光栅组成高频互作用系统,利用中等能量级的相对论带状电子注激励,产生频率可调的宽带毫米波、远红外波段的辐射。这种新方案的机理性实验在电子科技大学首次获得成功,其主要实验参数：电子注的能量为400~500kV,电压脉冲宽度70ns,同步脉冲磁场强度1.2T; 磁场脉冲宽度10ms,带状电子注尺寸10nm×1mm;通过热测实验,我们成功地检测到3mm波段的高频信号,其峰值功率达到数十千瓦量级。     

圆柱开槽波导FEM放大器数值研究

以圆柱开槽波导、螺旋摇摆器为模型,考虑了电子初始速度零散、引导磁场等效应对放大器饱和特性的影响,导出了自洽的注波互作用三维非线性方程组.并在此基础上编制了相应的计算软件,通过数值分析的方法研究了圆柱开槽波导自由电子激光放大器的饱和效率、频带宽度等高频特性.     

矩形阶跃波导中波束分裂的研究

 使用匹配场法分析了矩形阶跃波导中场的叠加和分裂特性, 并用数值分析方法研究了场分布与传播距离的关系, 模拟了TE₁₀波由一束分裂成两束的转化过程。从而为计算相应的硬件装置做了理论准备, 并为进一步探讨FEM 系统奠定了基础。     

矩阵具有正实部特征值的判定

利用根与系数的关系.证明了特征方程没有零实部根的充要条件,给出了矩阵特征值至少具有一个正实部的充分条件,最后通过示例计算验证了该方法的有效性.     

PRESSURE AND PRESSURE GRADIENT IN AN AXISYMMETRIC RIGID VESSEL WITH STENOSIS

Based on an improvement of the Karman-Pohlhausen's method, using nonlinear polynomial fitting and numerical integral, the axial distributions of pressure and its gradient in an axisymmetric rigid vessel with stenosis were obtained, and the distributions related to Reynolds number and the geometry of stenotic vessel were discussed. It shows that with the increasing of stenotic degree or Reynolds number, the fluctuation of pressure and its gradient in stenotic area is intense rapidly, and negative pressure occurs subsequently in the diverging part of stenotic area. Especially when the axial range of stenosis extends, the flow of blood in the diverging part will be more obviously changed. In higher Reynolds number or heavy stenosis, theoretical calculation is mainly in accordance with nast experiments.     

相对论返波管频率特性研究

 研究了等离子体填充下相对论返波管的频率特性。结果表明，随着等离子体浓度增加，返波管的振荡频率明显上移；对空波导情况，实验结果同理论分析结果是相符的。