边界元法计算束流位置探测器的灵敏度系数  

Sensitivity estimation for beam position monitors using a boundary element method

作　　者：李勇[1,2] 何俊 随艳峰[1,2] 袁任贤[3] 杜垚垚 张婉 王徐建[1] 尹頔 于令达 刘智 魏书军[1] 岳军会 曹建社[1,2] LI Yong;HE Jun;SUI Yanfeng;YUAN Renxian;DU Yaoyao;ZHANG Wan;WANG Xujian;YIN Di;YU Lingda;LIU Zhi;WEI Shujun;YUE Junhui;CAO Jianshe(Institute of High Energy Physics,Chinese Academy of Sciences,Beijing 100049,China;University of Chinese Academy of Sciences,Beijing 100049,China;Shanghai Advanced Research Institute,Chinese Academy of Sciences,Shanghai 201204,China)

机构地区：[1]中国科学院高能物理研究所,北京100049 [2]中国科学院大学,北京100049 [3]中国科学院上海高等研究院,上海201204

出　　处：《核技术》2023年第5期78-86,共9页Nuclear Techniques

基　　金：中国科学院青年创新促进会基金(No.2019013,No.Y202005);国家自然科学基金(No.11975254)资助。

摘　　要：为满足高能同步辐射光源(High Energy Photon Source,HEPS)束流位置测量的需求,研制了各种类型的束流位置探测器(Beam Position Monitor,BPM)。位置灵敏度系数是BPM的一项重要参数,通过它可以精确计算束流的位置。使用边界元法计算束流位置探测器的灵敏度系数,适用于在无法使用天线模拟束流进行实际测量和有限元软件进行模拟的场合。以HEPS储存环BPM的参数为例,首先用边界元法分析计算了具有圆形横截面的BPM的位置灵敏度系数,在此基础上,分析了椭圆形(HEPS增强器)与八边形(BEPCⅡ储存环)管道的系数。将该方法应用于BPM的设计与分析中,确定了高能光源增强器BPM纽扣电极的方位角和北京正负电子对撞机BPM的纽扣电极间距。此外,计算了上述BPM的位置灵敏度系数分布Mapping图。圆形管道BPM的位置灵敏度系数结果与解析值接近,相对误差在1%左右,椭圆形与八边形管道BPM的计算结果与实际测量结果的偏差都在2%左右,证明了边界元法计算束流位置探测器的位置灵敏度系数是一种可靠的方法,可用于BPM的设计与相关问题的分析。[Background]To measure the beam positions of High Energy Photon Source(HEPS),different types of beam position monitors(BPMs)have been developed.The position sensitivity coefficient is an important parameter of BPMs by which the position of the beam can be calculated.[Purpose]This study aims to establish a method for calculating the position sensitivity coefficient of BPMs.[Methods]The position sensitivity coefficients of various types of BPMs,such as round,elliptical,and octagonal pipes,were determined by using the boundary element method(BEM).The azimuth button angles in the elliptical BPM of the HEPS booster and the button distances in an octagonal BPM on the Beijing Electron Positron Collider II(BEPCII)storage ring were derivated by the application of BEM.Furthermore,the position sensitivity mappings of the BPMs was calculated.[Results]The difference in sensitivity results of the round BPM calculated by the BEM and the analytical value is approximately 1%.The error between the calculated and experimental measurement results of the position sensitivity coefficients of the elliptical and octagonal sections is approximately 2%.[Conclusions]The BEM is a reliable method for calculating the position sensitivity coefficient of BPMs,which can be used in BPM design.

关 键 词：边界元法 束流位置探测器 位置灵敏度系数 高能同步辐射光源 

分 类 号：TL506[核科学技术—核技术及应用]