计算机断层扫描在“双成像法”测量束流二维相空间中的应用

文中分析了利用计算机断层扫描(CT)测量束流二维相空间的物理原理,并从数学上证明了现有方法(CT+四极铁磁场扫描)存在Radon变换角度空档,需要假设某一束流模型进行插值,图像重建的精度不高甚至失真;而结合Cerenkov辐射“双成像法”,可以同时得到束流横向剖面和散角分布的Radon投影,从而将Radon变换角的范围扩展到完整的0—π.文中以一个不对称的束流二维相空间分布为例,给出了计算机模拟实验结果,检验了该新方法进行束流二维相空间图像重建的高精度性和可行性.     

束流四维横向相空间密度函数的测量原理

 Radon变换与参数可调的输运元件结合,可以为束流诊断提供一种与束流模型无关的新方法。此方法与计算机图象处理技术的结合至少可以使测定束流横向发射度的精度提高一个量级,而且可以得到足够分辨率的束流四维横向相空间分布。该方法为加速器,特别是高亮度强流加速器的研制提供了一种有力的监测工具。为研究束流传输、验证束流动力学理论提供了更为可靠的判据。     

ECR源低能强流高电荷态离子束四维发射度测量仪的研制

为全面研究ECR（Electron Cyclotron Resonance）离子源引出的高电荷态离子束流品质,获取ECR离子源引出离子束流的横向四维相空间分布,提高向加速器的注入效率,中国科学院近代物理研究所研制了一台高精度Pepper Pot型发射度测量仪PEMiL（Pepper pot Emittance Meter in Lanzhou）。根据使用需求,利用KBr晶体喷涂技术取代传统的CsI闪烁体成像技术,解决了束流光斑重叠效应,获得了边界清晰的束流图像;并开发了相应的数据处理分析程序,以分析处理得到的束流横向四维相空间分布。利用PEMiL获得了75 keV,170 eμA的O5+束流横向四维发射度。分析结果表明:PEMiL测量分析后的束流发射度结果可靠性高,荧光屏电荷累积效应造成的发射度差异不超过25%,PEMiL可作为ECR离子源引出离子束流品质诊断的有效装置。     

束流相空间与束流发射度椭圆的对应

研究了束流传输理论沿用的束流相空间与实测束流发射度椭圆之间的对应关系,推导了束流相空间参数与束流椭圆对应关系的表达式,为束流传输理论与束流测量实验之间的相互验证提供了直接依据。     

任意形状束流相空间变换的样条函数表述

为了研究具有任意形状相空间的束流的传输,本文提出了束流相空间换的样条函数表述.利用三次样条函数拟合相空间边界,将相空间变换化为样条函数的变换,并进而计算束流包络.给出了具有任意形状相空间的束流传输的实例.     

均匀湍流中的奇怪吸引子

本文对于实测的湍流信号采用延迟坐标重建相空间技术计算了它的关联维数,熵和最大Лялнов指数,从而指出这是一种受随机噪声干扰的确定性的混沌现象,它在相空间的吸引子是一个随机噪声背景上的奇怪吸引子。     

强流脉冲束在螺旋管透镜中的非线性传输计算

为计算强流脉冲束在螺旋管透镜6维相空间中的非线性传输,用Visual Fortran 6.5语言设计了一个计算程序,计算由漂浮空间、螺旋管透镜等元件组成的束流光学系统。程序在计算非强流脉冲束流的线性传输时,粒子的轨迹通过矩阵的直接相乘计算得出;程序在计算强流脉冲束流的非线性传输时,需要考虑束流中的空间电荷效应对束流传输的影响,在束流运动过程中,空间电荷场也在不断地变化,而且粒子运动的轨迹与空间电荷势又是相互依赖的,因此需要求得一个自洽的解,先把元件分成若干均等的区间,把电流分成若干等份,后采用束流电流迭代与元件区间迭代的计算方法。程序运行结束时,横向和纵向相图以及束流光学系统的束流包络线可以在微机屏幕上直观地显示出来。     

基于Hilbert变换的相空间重建方法在HLS逐束团测量系统中的应用

引入基于Hilbert变换的相空间重建手段, 对合肥光源(HLS)逐束团测量系统采集的数据进行了全面的分析, 其中包括单个束流位置监测器(BPM)数据的相空间重建, 逐圈逐束团振荡相位信息、束团振荡模式信息、逐束团横向工作点(tune值)变换. 提出了新的分析束团tune值的手段, 提供传统方法无可比拟的更高的时间和频率分辨率. 还对不同模式的阻尼率进行了计算, 这为衡量逐束团反馈系统的效果提供了确实可靠的方法.     

JAERI和KEK联合项目中的中能束流传输线及其升级设计

中能束流传输线(MEBT)在日本质子加速器研究设施(J-PARC)中对控制束流损失起到非常关键的作用. 中能传输线已经成功设计和建造, 并进行了束流实验. 简要介绍了中能传输线及其束流实验的结果. 为进一步减少和消除传输线中的束流切割器的上升和下降过程中产生的不稳定粒子, 以满足更高流强下的束损要求, 给出了一个带有反束流切割器的中能传输线的升级设计, 该设计已被用作该项目的备用方案. 升级设计的中能传输线要完成三个任务：完成从RFQ到DTL的束流相空间匹配; 利用束流切割器把束流切割成注入快循环时所需要的束流结构, 以及利用反束流切割器把束流切割器上升和下降时间段产生的部分偏转的不稳定粒子作用回DTL的相空间接收度内, 以减少和避免粒子丢失. 在该中能传输线中, RF偏转器被用来作为束流切割器和反束流切割器. RF偏转器是中能传输线中最关键的部件, 进一步讨论了RF偏转器作为反束流切割器的优化设计. 也给出了该传输线的动力学分析的结果.     

电子直线加速器束流动力学的三维理论和计算

本文提出了电子直线加速器束流动力学计算的三维理论。将注入的脉冲束流划分为等电荷的环,追踪这些环在三维几何空间的运动,并在六维相空间内讨论束流的性能,给出束流在(r,p_r),(rθ,p_θ),(z,p_Z)三个相平面上的图象以及均方根发射度的数值。本文还介绍了应用三维理论的实例计算结果,并对影响径向发射度的因素作了讨论。     

Dynamic response of thin-walled structures by variable kinematic one-dimensional models

This paper investigates the accuracy capabilities of using variable kinematic modeling in compact and thin-walled beam-like structures with dynamic loadings. Carrera Unified Formulation (CUF) is employed to introduce refined one-dimensional (1D) models with a variable order of expansion for the displacement unknowns over the beam cross-section. Classical Euler–Bernoulli and Timoshenko beam theories are obtained as particular cases of these variable kinematic models while a higher order expansion permits the detection of in-plane cross-section deformation, since it leads to shell-like solutions. Finite element (FE) method is used to provide numerical results and the Newmark method is implemented as a time integration scheme. Some assessments with closed form solutions are discussed and comparisons with shell-type results obtained with commercial FE software are made. Further analyses address both compact and thin-walled cross-sections. In particular, the case of a deformable thin-walled cylinder loaded by time-dependent internal forces is discussed. The results clearly show that finite elements which are formulated in the CUF framework do not introduce additional numerical problems with respect to classical beam theories. Comparisons with elasticity solutions prove that the present 1D CUF model offers an accuracy in analyzing thin-walled structures which is typical of shell or three-dimensional models with a remarkable reduction in the computational cost required.     

Free vibration analysis of a cracked beam by finite element method

In this paper, the natural frequencies and mode shapes of a cracked beam are obtained using the finite element method. An ‘overall additional flexibility matrix’, instead of the ‘local additional flexibility matrix’, is added to the flexibility matrix of the corresponding intact beam element to obtain the total flexibility matrix, and therefore the stiffness matrix. Compared with analytical results, the new stiffness matrix obtained using the overall additional flexibility matrix can give more accurate natural frequencies than those resulted from using the local additional flexibility matrix. All the elements in the overall additional flexibility matrix are computed by 128-point (1D) or (128×128)-point (2D) Gauss quadrature, and then further best fitted using the least-squares method. The explicit form best-fitted formulas agree very well with the numerical integration results, and are very convenient for use and valuable for further reference. In addition, the authors constructed a shape function that can perfectly satisfy the local flexibility conditions at the crack locations, which can give more accurate vibration modes.     

A novel Fourier based 3D full-vectorial beam propagation method

In this paper a Fourier based full-vectorial beam propagation method (BPM) with perfectly matched layer (PML) absorbing boundary conditions is presented. The method starts with the slowly varying envelope coupled wave equations, including coordinate-stretching type PMLs, which are discretised using the Galerkin method with Fourier basis functions in the transversal direction. The proposed method is then assessed in a wide variety of situations, including 2D propagation of TE and TM waves and 3D full-vectorial situations. The obtained results show that good accuracy can be obtained even for complex strongly-guiding waveguides with a small number of basis functions.     

Finite-Difference-Time-Domain Analysis for Electro-Magnetic Field Distribution on Near-Field Optical Recording Probe Head

In recent years there has been a strong trend and movement towards digitalism and high memory capacity in the multi-media field including digital movies. It is expected that new kinds of high density data storage to match this environment will be developed. The optical disk system using near-field optics and technology is considered to be a strong candidate for ultra-high density optical memory. In order to realize a new optical recording system we have focused on the writing head with high optical efficiency and resolution. We evaluated the properties of pyramidal probe heads using the FDTD (finite difference time domain) method and obtained simulation results in order to find the best structure and design for new near-field optical probes. From these results, we understood that a novel probe structure having metal layers on just 3 side planes (scoop type) shows the best performance in optical power density and beam size. We believe that optical enhancement and beam confinement arise from the effect of surface plasmon on a metal layer and the beam blocking of metal, respectively. Using this scoop-type probe having a tip size of 55 nm, we can get a very small spot size of 33 #x00D7; 60 nm² in FWHM (full with half maximum), which allows us to realize the recording density of 300 Gb/in².     

Mode shapes analysis of a cracked beam and its application for crack detection

In this paper, mode shapes of a cracked beam with a rectangular cross section beam are analysed using finite element method. The 3D beam element is applied for this finite element analysis. The influence of the coupling mechanism between horizontal bending and vertical bending vibrations due to the crack on the mode shapes is investigated. Due to the coupling mechanism the mode shapes of a beam change from plane curves to space curves. Thus, the existence of the crack can be detected based on the mode shapes: when the mode shapes are space curves there is a crack in the beam. Also, when there is a crack, the mode shapes have distortions or sharp changes at the crack position. Thus, the position of the crack can be determined as a position at which the mode shapes exhibit such distortions or sharp changes. While in previous studies using 2D beam element, distortions in the mode shapes caused by a small crack could not be detected, these distortions in the case using the 3D beam element can be amplified and inspected clearly by using the projections of the mode shapes on appropriate planes. The quantitative analysis is also implemented to relate the size and position of the crack with the observed coupled modes. These results can be applied for crack detection of a beam. In this paper, the stiffness matrix of a cracked element obtained from fracture mechanics is presented and numerical simulations of three case studies are provided.     

光子晶体定向耦合三波长功分器

以二维三角晶格光子晶体为研究对象,在该光子晶体中引入两行以一行耦合介质柱为间距的平行单模线缺陷波导.通过分析和研究光子晶体波导耦合结构的耦合和解耦合特性,发现在不同频率下耦合波导的耦合长度不同.利用平面波展开法和定向耦合原理计算了在不同入射光频率下,缺陷波导间耦合波导的耦合长度,设计了一种新型超微光子晶体波导耦合型三波长功分器,实现了归一化频率分别为0.369、0.394、0.435的光波的分束效果.采用时域有限差分法验证了该功分器具有很好的功率分配效果.本文结果有助于光子晶体新型滤波器、定向耦合器、波分复用器、偏振光分束器以及光开关等光子器件的研究.     

Theory and design of a free-electron maser with two-dimensional feedback driven by a sheet electron beam

The use of two-dimensional Bragg resonators of planar geometry, realizing two-dimensional (2D) distributed feedback, is considered as a method of producing spatially coherent radiation from a large sheet electron beam. The spectrum of eigenmodes is found for a 2D Bragg resonator when the sides of the resonator are open and also when they are closed. The higher selectivity of the open resonator in comparison with the closed one is shown. A time-domain analysis of the excitation of an open 2D Bragg resonator by a sheet electron beam demonstrates that a single-mode steady-state oscillation regime may be obtained for a sheet electron beam of width 100-1000 wavelengths. Nevertheless, for a free-electron maser (FEM) with a closed 2D Bragg resonator, a steady-state regime can also be realized if the beam width does not exceed 50-100 wavelengths. The parameters for a FEM with a 2D planar Bragg resonator driven by a sheet electron beam based on the U-2 accelerator (INP RAS, Novosibirsk) are estimated and the project is described.     

Relativistic self-focusing and self-channeling of Gaussian laser beam in plasma

In the present paper, we have studied the self-focusing of a laser beam in a relativistic plasma. We have set up the non-linear differential equation for the beam width parameter of the main beam by using the moment theory approach and solved it numerically by the Runge–Kutta method. The results obtained are in agreement with the findings of the simulation (3D PIC). A new stable form of self-channeling propagation has also been observed.     

单发大口径光束下介质膜损伤阈值测试

针对传统的激光诱导损伤阈值测试中存在的耗时问题,提出了一种利用单发次、大口径光束的介质膜损伤阈值的快速测定方法。该方法以图像处理为基础,通过坐标变换和栅格压缩,建立了样品辐照区域内损伤分布与光斑强度分布之间的精确对应关系。基于对大口径光斑辐照区域内损伤信息的快速提取和统计方法,通过单次激光辐照,获取了待测区域的损伤阈值。根据此方法搭建了单发大口径光束损伤阈值测试平台,并对HfO2/SiO2高反射膜损伤阈值进行了单发次测定的验证。