北京散裂中子源快循环同步环磁聚焦结构设计

快循环同步环(RCS)是北京散裂中子源(BSNS)的一个重要组成部分, 其物理设计对加速器的性能和造价起到决定性作用. 文章研究了能满足北京散裂中子源~RCS~要求的几种磁聚焦结构, 给出了一个三折结构的详细设计, 并比较分析了其他可供选择的磁聚焦结构.     

共振引出系统的布局研究和模拟计算

在介绍1/3整数共振引出基本理论和相关技术的同时,通过简明的解析公式,详细研究和分析了共振引出系统的布局原理.以一台小型医用质子同步加速器的磁铁聚焦结构为基础,给出了设计实例,并与计算机模拟结果进行了比较.     

CSRe储存环动力学孔径研究(英文)

动力学孔径对环形加速器, 尤其是现代的储存环, 起着越来越重要的作用。采用MAD程序研究了兰州重离子加速器实验环（CSRe）的动力学孔径。通过对比几种情况下的模拟结果, 发现六极铁和二极铁的高阶场对束流的动力学孔径影响较大, 使CSRe的动力学孔径减小, 但减小后的动力学孔径也远大于该环的物理孔径。因此, 束流可以长期、 稳定的存在。Dynamic aperture(DA) is playing a more and more important role in circular accelerators, especially in the modern storage rings. In this paper, the DA of CSRe is analyzed by MAD program. Comparing the DA under various assumptions, we find that the multipole errors in dipoles or quadrupoles, and the sextupoles which bring strong non linearities, and limit the DA of CSRe. Fortunately, the DA is larger than the physical aperture in all the cases, and that is large enough to satisfy the high precision physical experimental request.     

强流AVF型迴旋加速器中的空间电荷效应和束晕

详细推导了AVF型迴旋加速器中束团粒子在曲线坐标系中的动力学方程(考虑和不考虑空间电荷相互作用力两种情况).在假定动力学方程中各参数值的前提条件下,用Lunge-Kutta方法对考虑空间电荷时的动力学方程进行了数值计算.结果表明,束晕的形成和发展同样也是强流迴旋加速器中束流损失的一个主要原因.但束晕形成的机制不同于直线加速器的情况,它不是由共振和混沌引起,而是由于粒子的排斥运动和束团内粒子的涡流运动引起的.     

测量环形加速器中束流真实发散度的一个可能的方法

分析了周期聚焦系统中不匹配的整流的包络, 给出了束流截面的表示式. 并证明利用目前通用的测量发散度的方法, 并不能测得束流的真实发散度, 而只是相应于被测束流所填充的最大孔径的加速器的接收度.     

强流AVF型騒旋加速器中的空间电荷效应和束晕

详细推导了AVF型験旋加速器中束团粒子在曲线坐标系中的动力学方程(考虑和不考虑空间电荷相互作用力两种情况).在假定动力学方程中各参数值的前提条件下,用Lunge-Kutta方法对考虑空间电荷时的动力学方程进行了数值计算.结果表明,束晕的形成和发展同样也是强流験旋加速器中束流损失的一个主要原因.但束晕形成的机制不同于直线加速器的情况,它不是由共振和混沌引起,而是由于粒子的排斥运动和束团内粒子的涡流运动引起的.     

动力环形ηi模的局部和非局部描述

解析给出环形ηｉ模包括离子通行共振、磁漂移共振以及有限拉莫半径效应的局部和非局部完全动力色散关系，通过比较局非局部描述下环形ηｉ模增长率的大小，指出了局部近似适用的参数范围。     

基于法布里-珀罗腔的纳米环滤光器

同轴纳米环结构由于具有特殊的光学特性, 近年来引起了科学界的广泛关注. 本文将重点研究在以纳米环形结构为基础的法布里-珀罗腔中所存 在的两种形式的表面等离子共振, 平面型和传输型. 通过使用固定圆环阵列的周期而只改变圆环孔径大小的方法来实现调 节传输型共振并达到滤波的效果. 同时, 控制圆环阵列的周期使其足够大, 从而使得平面型共振峰位于近红外波段, 以避免对处于可见光波段的传输型共振模式形成干扰, 最终实现滤光效果. 在实验中, 通过使用周期固定为1200 nm而孔径大小从10到180 nm (以10 nm递增)的同轴圆环结构, 实现了把一束宽带的白光源分成不同颜色的单色光. 实验结果表明, 该方法解决了天线凹槽和一维层堆光栅型滤光器都普遍存在的偏振敏感性问题, 使得类似滤光器件的应用范围更广, 更能适应非偏振的自然光. 通过有限时域差分法分析得到的理论计算结果和实验结果相匹配, 实验现象得到了很好的理论支持和解释. 关键词： 表面等离子体 同轴圆环纳米腔 透射型滤光器     

几组特殊形状永磁体的磁场及梯度COMSOL分析

利用COMSOL"静磁场,无电流"的应用模式给出了相对放置的永磁条、具有磁回路结构的磁轭磁极、环形磁体的磁场分布图,并分析了这3组磁体的磁场和梯度情况,更关注于均匀磁场和恒梯度磁场的分布情况。     

HIAF中环形质量谱仪SRing的线性设计

为了精确测量短寿命原子核质量,提出了在强流重离子加速器装置(HIAF)上建造高精度环形质量谱仪SRing。SRing长188.7 m,最大设计磁刚度为1 3 T·m,主要由磁聚焦结构、注入系统、引出系统、随机冷却以及探测系统等组成。SRing将运行在等时性模式和收集模式下用于短寿命原子核质量的精确测量和放射性次级束流收集并纯化。详细介绍了SRing的线性光学设计,并给出两种模式下的光学设计、注入及引出系统的设计等,设计参数优化完毕后,机器测量精度有望提高到10~6。     

Lattice sum of electric field gradients in tetragonal crystals

A new method to calculate the lattice contribution to electric field gradients at a nuclear site in tetragonal crystals is developed. The crystal is regarded as an assembly of positive ions at lattice points embedded in a uniform background of negative charge (point charge model). The method uses Euler-Maclaurin formula and makes the plane-wise summation in the direct crystal space unlike most of the previous methods utilising Fourier transform to reciprocal space. The numerical values obtained using the above approach agree well with previous results.     

Flux vortices and transport currents in type II superconductors

This article is concerned with the mechanisms by which type II superconductors can carry currents. The equilibrium properties of the vortex lattice are described and the generalized driving force in gradients of temperature and field is derived using irreversible thermodynamics. This leads to expressions for thermal cross effects which can include pinning forces. The field distributions which occur in a range of situations are derived and a number of useful solutions of the critical state given. In particular, the distribution in a longitudinal field is obtained, and the conditions under which force-free configurations can break down by the cutting of vortices discussed. The effects of lattice rigidity on the summation of pinning forces is considered and it is shown that a summation based on statistical arguments uses the same approximations and leads to the same results as a dissipation argument. Theoretical expressions are derived for the vortex pinning interaction to a number of different metallurgical defects. The theoretical models are compared critically with experimental measurements of pinning forces and other related phenomena, such as flux creep, low amplitude vortex oscillations and vortex lattice defect effects. Finally, the implications for technological materials are assessed.     

Study of one-dimensional nonlinear lattice

In this article a brief review of the theory of one-dimensional nonlinear lattice is presented. Special attension is paid for the lattice of particles with exponential interaction between nearest neighbors (the Toda lattice). The historical exposition of findings of the model system, basic equations of motion, special solutions, and the general method of solutions are given as chronologically as possible. Some reference to the Korteweg-de Vries equation is also given. The article consists of three parts. Firstly, the idea of dual system is presented. It is shown that the roles of masses and springs of a harmonic linear chain can be exchanged under certain condition without changing the eigenfrequencies. Secondly, the idea is applied to the anharmonic lattice and an integrable lattice with exponential interaction force between adjacent particles is obtained. Special solutions to the equations of motion and general method of solution are shown. In the last part, some studies on the Yang-Yang’s thermodynamic formalism is given.     

Band gap properties of two-dimensional photonic crystals with rhombic lattice

A new structure of two-dimensional photonic crystals (PCs) with rhombic lattice is proposed in this paper. It provides more flexibility in the design of photonic crystal devices and makes the designer be able to choose a more suitable lattice angle to satisfy different demands. The first Brillouin zone (1st BZ) of this structure is discussed and the general wave vectors are derived. The plane wave expansion (PWE) method is used to analyze the band gap properties. The impact of different lattice angels on the band gaps is analyzed, and the band gap map is also given.     

Flux vortices and transport currents in type II superconductors

This article is concerned with the mechanisms by which type II super-conductors can carry currents. The equilibrium properties of the vortex lattice are described and the generalized driving force in gradients of temperature and field is derived using irreversible thermodynamics. This leads to expressions for thermal cross effects which can include pinning forces.

The field distributions which occur in a range of situations are derived and a number of useful solutions of the critical state given. In particular, the distribution in a longitudinal field is obtained, and the conditions under which force-free configurations can break down by the cutting of vortices discussed.

The effects of lattice rigidity on the summation of pinning forces is considered and it is shown that a summation based on statistical arguments uses the same approximations and leads to the same results as a dissipation argument. Theoretical expressions are derived for the vortex pinning interaction to a number of different metallurgical defects. The theoretical models are compared critically with experimental measurements of pinning forces and other related phenomena, such as flux creep, low amplitude vortex oscillations and vortex lattice defect effects. Finally, the implications for technological materials are assessed.     

Determination of elastic strain fields and geometrically necessary dislocation distributions near nanoindents using electron back scatter diffraction

The deformation around a 500-nm deep Berkovich indent in a large grained Fe sample has been studied using high resolution electron back scatter diffraction (EBSD). EBSD patterns were obtained in a two-dimensional map around the indent on the free surface. A cross-correlation-based analysis of small shifts in many sub-regions of the EBSD patterns was used to determine the variation of elastic strain and lattice rotations across the map at a sensitivity of ～±10^?4. Elastic strains were smaller than lattice rotations, with radial strains found to be compressive and hoop strains tensile as expected. Several analyses based on Nye's dislocation tensor were used to estimate the distribution of geometrically necessary dislocations (GNDs) around the indent. The results obtained using different assumed dislocation geometries, optimisation routines and different contributions from the measured lattice rotation and strain fields are compared. Our favoured approach is to seek a combination of GND types which support the six measurable (of a possible nine) gradients of the lattice rotations after correction for the 10 measurable elastic strain gradients, and minimise the total GND line energy using an L¹ optimisation method. A lower bound estimate for the noise on the GND density determination is ～±10¹² m^?2 for a 200-nm step size, and near the indent densities as high as 10¹⁵ m^?2 were measured. For comparison, a Hough-based analysis of the EBSD patterns has a much higher noise level of ～±10¹⁴m^?2 for the GND density.     

平面波导环形格子结构型光交错复用器的设计

在分析比较双折射晶体偏振光干涉型和平面波导环形格子结构型光交错复用滤波器原理的基础上,揭示了两者在光谱透射率的数学上的等效性,给出了两者结构参量之间的等效关系,可以直接利用经简单傅里叶级数对比法获得的晶体的结构参量对平面波导环形格子结构型光交错复用滤波器进行结构设计。利用该方法对一个两级平面波导环形格子结构型光交错复用滤波器进行了优化设计,信道隔离度比文献中结构提高了近5dB,而且结构参量有多种组合。与利用复杂的格子理论计算仅获得一组结构参量相比,该方法更加简单、有效。     

衍射极限环光源纵向束流注入非线性优化

下一代同步辐射光源储存环动力学孔径较小,因而束流注入困难,可以通过纵向束流注入解决这一问题。为了使用更长的kicker脉冲,有必要降低高频频率以增加注入束流到储存束流的时移。因为同步辐射运动,时移更长的束流有更高的动量偏差,所以通过该方法进行注入需要储存环提供足够大的能量接受度和动力学孔径。用SSRF-U的候选磁聚焦结构来展示纵向束流注入非线性优化的可行方法。由一系列高频频率的最佳结果可知,低于界限频率时kicker脉冲不会继续增长。在束流模拟中,采用界限频率与合适六级铁强度,可使SSRF-U储存环束流注入达到最高效率。     

Bubble functions for the lattice Boltzmann method and their application to grid refinement

We present a new methodology of velocity field interpolation for the lattice Boltzmann method. The local information on spatial velocity gradients stored in the nodal momentum distribution function is exploited. We achieve quadratic interpolation order between neighboring nodes. Second-order bubble functions are derived from which the off-grid velocity field can be computed. A simple grid-refinement technique based on the bubble functions is introduced.