Calculation and analysis of the magnetic field of alinearly tapered undulator

LI He-Ting; GUO Fan; LI Jia-Yu; JIA Qi-Ka

doi:10.1088/1674-1137/39/8/088101

近期发现有不法分子冒充我刊与作者联系，借此进行欺诈等不法行为，请广大作者加以鉴别，如遇诈骗行为，请第一时间与我刊编辑部联系确认（《中国物理C》（英文）编辑部电话：010-88235947,010-88236950），并作报警处理。

本刊再次郑重声明：

（1）本刊官方网址为cpc.ihep.ac.cn和https://iopscience.iop.org/journal/1674-1137

（2）本刊采编系统作者中心是投稿的唯一路径，该系统为ScholarOne远程稿件采编系统，仅在本刊投稿网网址（https://mc03.manuscriptcentral.com/cpc）设有登录入口。本刊不接受其他方式的投稿，如打印稿投稿、E-mail信箱投稿等，若以此种方式接收投稿均为假冒。

（3）所有投稿均需经过严格的同行评议、编辑加工后方可发表，本刊不存在所谓的“编辑部内部征稿”。如果有人以“编辑部内部人员”名义帮助作者发稿，并收取发表费用，均为假冒。

《中国物理C》（英文）编辑部

2024年10月30日

Chinese Physics C> 2015, Vol. 39> Issue(8) : 088101 DOI: 10.1088/1674-1137/39/8/088101

Calculation and analysis of the magnetic field of alinearly tapered undulator

Abstract
HTML
Reference
Related

PDF

Abstract：
There is an empirical formula describing the relationship between the peak magnetic field and the undulator structure parameters for a uniform-parameter hybrid undulator. In this paper, we investigate the relationship for a linearly tapered undulator through numerical calculation by using the code RADIA, and check it with the empirical formula. The results imply that this empirical formula is also effective for linearly tapered undulators at a big enough scope for the requirements of normal FEL experiments. Therefore, for a linearly tapered undulator, we can use the empirical formula to design the variation of the undulator gap. For the tapering rate demanded by normal FEL experiments, the gap of a linearly tapered undulator increases almost linearly, and the tapering rate will keep constant while adjusting the undulator gap with the same variation for each undulator period.

[1]	Sheng-Qin Feng , Xin Ai , Lei Pei , Fei Sun , Yang Zhong , Zhong-Bao Yin . Estimation of the chiral magnetic effect considering the magnetic field response of the QGP medium. Chinese Physics C, 2018, 42(5): 054102. doi: 10.1088/1674-1137/42/5/054102
[2]	ZHONG Yang , YANG Chun-Bin , CAI Xu , FENG Sheng-Qin . Spatial distributions of magnetic field in the RHICand LHC energy regions. Chinese Physics C, 2015, 39(10): 104105. doi: 10.1088/1674-1137/39/10/104105
[3]	FU Dong-Po , ZHAO Wei-Jiang , GUO Peng , ZHU Kun , WANG Jing-Hui , HUA Jing-Shan , REN Xiao-Tang , XUE Jian-Ming , ZHAO Hong-Wei , LIU Ke-Xin . Discharge characteristics of the DUHOCAMIS with a high magnetic bottle-shaped field. Chinese Physics C, 2014, 38(10): 107006. doi: 10.1088/1674-1137/38/10/107006
[4]	XU Shou-Yan , WANG Sheng , AN Yu-Wen , LI Zhi-Ping . Study on the effects of chromaticity and magnetic field tracking errors at CSNS/RCS. Chinese Physics C, 2014, 38(11): 117003. doi: 10.1088/1674-1137/38/11/117003
[5]	JIA Qi-Ka . An analysis of undulator optimization in self-seedingfree electron lasers. Chinese Physics C, 2014, 38(8): 088101. doi: 10.1088/1674-1137/38/8/088101
[6]	Vijay Huse , Bramh Prakash , G. Mishra . Analysis of undulator radiation with an electromagnet undulator. Chinese Physics C, 2014, 38(7): 078101. doi: 10.1088/1674-1137/38/7/078101
[7]	JIA Xiang-Hong , JIA Shao-Xia , XU Feng , BAI Yan-Qiang , WAN Jun , LIU Hong-Tao , JIANG Rui , MA Hong-Bo , WANG Shou-Guo . Study of magnetic field expansion using a plasma generator for space radiation active protection. Chinese Physics C, 2013, 37(9): 098201. doi: 10.1088/1674-1137/37/9/098201
[8]	ZHOU Xia , KANG Miao , WANG Na . Effect of magnetic field decay on the chemical heating of cooling neutron stars. Chinese Physics C, 2013, 37(8): 085102. doi: 10.1088/1674-1137/37/8/085102
[9]	QI Jian-Min , ZHOU Lin , JIANG Shi-Lun , PENG Tai-Ping . Characteristics of the magnetic analysis system for a compact MPR-type spectrometer. Chinese Physics C, 2010, 34(12): 1860-1865.
[10]	WANG Jing-Hui , ZHU Kun , ZHAO Wei-Jiang , LIU Ke-Xin . Theoretical analysis of a new extraction system for a DUHOCAMIS operating in a high magnetic field. Chinese Physics C, 2010, 34(11): 1738-1741. doi: 10.1088/1674-1137/34/11/014
[11]	QIN Meng , TIAN Dong-Ping . Bipartite entanglement in a two-qubit Heisenberg XXZ chain under aninhomogeneous magnetic field. Chinese Physics C, 2009, 33(4): 249-251. doi: 10.1088/1674-1137/33/4/002
[12]	MAO Cheng-Wen , XI Zai-Jun , YU Xiao-Han , XIAO Ti-Qiao . Design optimization of a tapered mirror for microfocusing optics. Chinese Physics C, 2009, 33(8): 687-690. doi: 10.1088/1674-1137/33/8/017
[13]	LIU Jun , JIA Wen-Zhi , WANG Shun-Jin . Microscopic calculation of the magnetic field of neutron stars. Chinese Physics C, 2009, 33(9): 737-742. doi: 10.1088/1674-1137/33/9/005
[14]	HUANG Wei , XU Wang , YAN Mu-Lin . Backward Compton scattering and QED with noncommutative plane in the strong uniform magnetic field. Chinese Physics C, 2008, 32(5): 342-347. doi: 10.1088/1674-1137/32/5/003
[15]	MA Qiao-Sheng , WU Yong , FAN Zhi-Kai , GAN Yan-Qing , JIN Xiao , ZHOU Chuan-Ming . Experimental investigation of backward wave oscillator with low magnetic field. Chinese Physics C, 2008, 32(3): 222-226. doi: 10.1088/1674-1137/32/3/013
[16]	Shen Yaosong , Ren Zhongzhou . Relativistic Mean-field Calculation on Λ Hypernuclei. Chinese Physics C, 1997, 21(S4): 47-54.
[17]	Song Zhongheng , Wang Xiaomin . Calculation of Space Charge Field for Annulus and Disc Bunch of Charged Particles. Chinese Physics C, 1991, 15(S2): 119-125.
[18]	Liu Baohua , Li Jiarong . The Mean-Field Analysis for Chiral Symmetry Phase Transition. Chinese Physics C, 1988, 12(S4): 373-378.
[19]	Fan Qinmin , Zhong Ming . The Use of Numerical Calculation in the Analysis of Standardless Thick Target PIXE. Chinese Physics C, 1988, 12(S2): 109-116.
[20]	LIU Mao-San , SHI Cai-Tu , CHEN Ren-Huai . MAGNETIC FIELD ANALYSIS OF PERMANENT MAGNET UNDULATOR. Chinese Physics C, 1984, 8(1): 59-68.

Access

Get Citation

LI He-Ting, GUO Fan, LI Jia-Yu and JIA Qi-Ka. Calculation and analysis of the magnetic field of alinearly tapered undulator[J]. Chinese Physics C, 2015, 39(8): 088101. doi: 10.1088/1674-1137/39/8/088101

RIS(for EndNote,Reference Manager,ProCite)

BibTex

Txt

Milestone

Received: 2014-11-02
Revised: 1900-01-01

Article Metric

Article Views(1940)
PDF Downloads(165)
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, [email protected]

1.
沈阳化工大学材料科学与工程学院沈阳 110142

Calculation and analysis of the magnetic field of alinearly tapered undulator

Corresponding author: LI He-Ting,

Received Date: 2014-11-02
Accepted Date: 1900-01-01
Available Online: 2015-08-15

Abstract: There is an empirical formula describing the relationship between the peak magnetic field and the undulator structure parameters for a uniform-parameter hybrid undulator. In this paper, we investigate the relationship for a linearly tapered undulator through numerical calculation by using the code RADIA, and check it with the empirical formula. The results imply that this empirical formula is also effective for linearly tapered undulators at a big enough scope for the requirements of normal FEL experiments. Therefore, for a linearly tapered undulator, we can use the empirical formula to design the variation of the undulator gap. For the tapering rate demanded by normal FEL experiments, the gap of a linearly tapered undulator increases almost linearly, and the tapering rate will keep constant while adjusting the undulator gap with the same variation for each undulator period.