A General Formula of Tune Spread Caused by the Middle-Plane-Asymmetrical Magnetic Field Errors

Zhang Chuang; Chen Siyu

Chinese Physics C> 1988, Vol. 12> Issue(S2) : 181-188

A General Formula of Tune Spread Caused by the Middle-Plane-Asymmetrical Magnetic Field Errors

Zhang Chuang ,
Chen Siyu

Institute of High Energy Physics, Academia Sinica, Beijing

Abstract
HTML
Reference
Related

PDF

Abstract：
The betatron tune spread caused by magnetic field errors in accelerators is an important parameter. In this paper, an expression of middle-plane-asymmetri-cal magnetic field errors is obtained based on the Maxwell equations, and a general of tune spread is derived starting from the transverse equations of motion.

[1]	Tetsuaki Moriguchi , Momo Mukai , Naoto Kaname , Akira Ozawa , Shinji Suzuki , Yasushi Abe , Hiroki Arakawa , Tomoya Fujii , Daiki Hamakawa , Sakumi Harayama , Shun Hosoi , Yasuto Inada , Kumi Inomata , Reo Kagesawa , Daisuke Kajiki , Daiki Kamioka , Masanori Kanda , Atsushi Kitagawa , Takaaki Kobayashi , Daisuke Nagae , Sarah Naimi , Kunimitsu Nishimuro , Shunichiro Omika , Misaki Otsu , Mamoru Sakaue , Shinji Sato , Hibiki Seki , Naru Shinozaki , Takeshi Suzuki , Keisuke Tomita , Takayuki Yamaguchi , Yoshitaka Yamaguchi , Asahi Yano , Kenjiro Yokota . Improvements of time-of-flight detector utilizing a thin foil and crossed static electric and magnetic fields. Chinese Physics C, 2025, 49(10): 104001. doi: 10.1088/1674-1137/ade95b
[2]	Ning Wang . Refinement of an analytical capture cross section formula. Chinese Physics C, 2025, 49(12): 124106. doi: 10.1088/1674-1137/adfe53
[3]	Xiaocong Ai , Wolfgang Altmannshofer , Peter Athron , Xiaozhi Bai , Lorenzo Calibbi , Lu Cao , Yuzhi Che , Chunhui Chen , Ji-Yuan Chen , Long Chen , Mingshui Chen , Shanzhen Chen , Xuan Chen , Shan Cheng , Cheng-Wei Chiang , Andreas Crivellin , Hanhua Cui , Olivier Deschamps , Sébastien Descotes-Genon , Xiaokang Du , Shuangshi Fang , Yu Gao , Yuanning Gao , Li-Sheng Geng , Pablo Goldenzweig , Jiayin Gu , Feng-Kun Guo , Yuchen Guo , Zhi-Hui Guo , Tao Han , Hong-Jian He , Jibo He , Miao He , Xiaogang He , Yanping Huang , Gino Isidori , Quan Ji , Jianfeng Jiang , Xu-Hui Jiang , Jernej F. Kamenik , Tsz Hong Kwok , Gang Li , Geng Li , Haibo Li , Haitao Li , Hengne Li , Honglei Li , Liang Li , Lingfeng Li , Qiang Li , Qiang Li , Shu Li , Xiaomei Li , Xin-Qiang Li , Yiming Li , Yubo Li , Yuji Li , Zhao Li , Hao Liang , Zhijun Liang , Libo Liao , Zoltan Ligeti , Jia Liu , Jianbei Liu , Tao Liu , Yi Liu , Yong Liu , Zhen Liu , Xinchou Lou , Peng-Cheng Lu , Alberto Lusiani , Hong-Hao Ma , Kai Ma , Farvah Mahmoudi , Yajun Mao , Yaxian Mao , David Marzocca , Juan-Juan Niu , Soeren Prell , Huirong Qi , Sen Qian , Zhuoni Qian , Qin Qin , Ariel Rock , Jonathan L. Rosner , Manqi Ruan , Dingyu Shao , Chengping Shen , Xiaoyan Shen , Haoyu Shi , Liaoshan Shi , Zong-Guo Si , Cristian Sierra , Huayang Song , Shufang Su , Wei Su , Zhijia Sun , Michele Tammaro , Dayong Wang , En Wang , Fei Wang , Hengyu Wang , Jian Wang , Jianchun Wang , Kun Wang , Lian-Tao Wang , Wei Wang , Xiaolong Wang , Xiaoping Wang , Yadi Wang , Yifang Wang , Yuexin Wang , Xing-Gang Wu , Yongcheng Wu , Rui-Qing Xiao , Ke-Pan Xie , Yuehong Xie , Zijun Xu , Haijun Yang , Hongtao Yang , Lin Yang , Shuo Yang , Zhongbao Yin , Fusheng Yu , Changzheng Yuan , Xing-Bo Yuan , Xuhao Yuan , Chongxing Yue , Xi-Jie Zhan , Hong-Hao Zhang , Kaili Zhang , Liming Zhang , Xiaoming Zhang , Yang Zhang , Yanxi Zhang , Ying Zhang , Yongchao Zhang , Yu Zhang , Zhen-Hua Zhang , Zhong Zhang , Mingrui Zhao , Qiang Zhao , Xu-Chang Zheng , Yangheng Zheng , Chen Zhou , Daicui Zhou , Pengxuan Zhu , Yongfeng Zhu , Xuai Zhuang , Xunwu Zuo , Jure Zupan . Flavor physics at the CEPC: a general perspective. Chinese Physics C, 2025, 49(10): 103003. doi: 10.1088/1674-1137/adf1f0
[4]	Ronghao Hu , Qike Gu , Kejian Shi , Zezhong Wei , Meng Lv , Shiyang Zou , Yongkun Ding . Polarized neutron beams from polarized deuterium-tritium fusion with applications to magnetic field imaging in high-energy-density plasmas. Chinese Physics C, 2025, 49(12): 124102. doi: 10.1088/1674-1137/adec4f
[5]	HUANG Jiang , XIONG Yong-Qian , CHEN De-Zhi , LIU Kai-Feng , YANG Jun , LI Dong , YU Tiao-Qin , FAN Ming-Wu , YANG Bo . A permanent magnet electron beam spread system used fora low energy electron irradiation accelerator. Chinese Physics C, 2014, 38(10): 107008. doi: 10.1088/1674-1137/38/10/107008
[6]	BAO Ai-Dong , YAO Hai-Bo , WU Shi-Shu . Topological approach to examine the singularity of the axial-vector current in an Abelian gauge field theory (QED). Chinese Physics C, 2009, 33(3): 177-180. doi: 10.1088/1674-1137/33/3/003
[7]	HU Xi-Duo , SHAO Ming-Zhu , LUO Shi-Yu , LIU Yong-Sheng , ZHU De-Hai . Average Field Idea and Single Particle Model for 2 Dimension Crystallization Beams(Ⅱ). Chinese Physics C, 2004, 28(2): 196-199.
[8]	Sa Ben-hao , Zhang Xi-zhen , Li Zhu-xia , Shi Yi-jin . A PRIMARY RESEARCH OF THE PHONON RENORMALIZATION OF NUCLEAR FIELD THEORY. Chinese Physics C, 1980, 4(3): 398-400.

Access

Get Citation

Zhang Chuang and Chen Siyu. A General Formula of Tune Spread Caused by the Middle-Plane-Asymmetrical Magnetic Field Errors[J]. Chinese Physics C, 1988, 12(S2): 181-188.

Zhang Chuang and Chen Siyu. A General Formula of Tune Spread Caused by the Middle-Plane-Asymmetrical Magnetic Field Errors[J]. Chinese Physics C, 1988, 12(S2): 181-188. shu

RIS(for EndNote,Reference Manager,ProCite)

BibTex

Txt

Milestone

Received: 1987-08-18

Article Metric

Article Views(1081)
PDF Downloads(2)
Cited by(0)

Policy on re-use

To reuse of subscription content published by CPC, the users need to request permission from CPC, unless the content was published under an Open Access license which automatically permits that type of reuse.

通讯作者: 陈斌, bchen63@163.com

1.
沈阳化工大学材料科学与工程学院沈阳 110142

A General Formula of Tune Spread Caused by the Middle-Plane-Asymmetrical Magnetic Field Errors

Zhang Chuang
Chen Siyu

Institute of High Energy Physics, Academia Sinica, Beijing

Received Date: 1987-08-18

Abstract: The betatron tune spread caused by magnetic field errors in accelerators is an important parameter. In this paper, an expression of middle-plane-asymmetri-cal magnetic field errors is obtained based on the Maxwell equations, and a general of tune spread is derived starting from the transverse equations of motion.