短波长自由电子激光器电子运动特性研究

王时建; 徐勇根; 吉驭嫔; 徐竟跃; 卢宏; 刘晓旭; 张世昌

doi:10.7498/aps.62.144103

摘要

短波长自由电子激光器的电子束在摇摆器中的传输通道长而狭窄, 须得电子具有良好的运动特性, 避免在传输过程中产生横向发散. 本文研究短波长自由电子激光器中超相对论电子在磁场具有横向分布的平面摇摆器中的三维运动特性, 用逐次逼近法推导相对论运动方程的解析表达式, 非线性数值计算模拟传输过程, 采用科尔莫戈罗夫熵方法分析运动的稳定性. 结果表明: 摇摆器磁场除使电子做周期性摇摆运动外, 还迭加了偏离轴线的横向漂移运动, 在没有外置的磁场聚焦系统情况下, 电子将偏离轴线横向发散; 但是, 恰当选取电子的横向初始速度, 可有效地防止电子运动的横向发散, 即使没有外置的磁场聚焦系统, 也能在长达10 m 的摇摆器中顺利传输, 横向位移范围不超过0.09 mm, 而且其运动是稳定的.

关键词:

Abstract

Transport channel of the electron beam in a short-wavelength free-electron laser is quite narrow and long, which is needed for the electrons to have excellent motion feature so as to prevent the transverse divergence. In this paper the characteristics of the ultra-relativistic electron motion in a planar wiggler filed with transverse distribution are studied by analytical derivation, nonlinear simulations and Kolmogorov entropy calculations. Results show that the wiggler not only forces the electron to periodically wiggle on the transverse plane, but also superpose a transverse shift motion leaving away from the wiggler axis, which leads to the transverse divergence of the electron motion in the absence of an external magnetic focusing system. However, it is shown that the proper choice of the initial value of the electron transverse velocity could suppress the transverse motion divergence, where the electron can smoothly pass through a narrow and long channel with a length of 10 m and a width of 0.09 mm and the electron motion is stable even if there is no external magnetic focusing system.

Keywords:

作者及机构信息

1.
西华大学物理与化学学院, 成都 610039;

2.
西南交通大学光电子学研究所, 成都 610031

基金项目: 四川省教育厅科研基金(批准号: 12ZB136, 12233454)和西华大学重点科研基金(批准号: Z1123329, Z0913306)资助的课题.

Authors and contacts

1.
School of Physics and Chemistry, Xihua University, Chengdu 610039, China;

2.
Institute of Photoelectronics, Southwest Jiaotong University, Chengdu 610031, China

Funds: Project supported by the Foundation of Sichuan Provincial Department of Education, China (Grant Nos. 12ZB136, 12233454) and the Xihua University Foundation, China (Grant Nos. Z1123329, Z0913306).

参考文献

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施引文献

[1]	Marshall T C 1985 Free-Electron Lasers (New York: Macmillan Publishing Company) Chaps. 1, 2, 3
[2]	Zhang S C 1994 Introduction of Free-Electron Lasers (Chengdu: Southwest Jiaotong University Press) Chaps. 1, 2, 3, 6 (in Chinese) [张世昌 1994自由电子激光导论 (成都: 西南交通大学出版社) 第1, 2, 3, 6章]
[3]	Fratalocchi A, Ruocco G 2011 Phys. Rev. Lett. 106 105504
[4]	Emma P, Akre R, Arthur J, Binota R, Bostedt C, Bozek J, Brachmann A, Bucksbaum P, Coffee R, Decker F J, Ding Y, Dowell D, Edstrom S, Fisher A, Frisch J, Gilevich S, Hastings J, Hays G, Hering P, Huang Z, Iverson R, Loos H, Messerschmidt M, Miahnahri A, Moeller S, Nuhn H, Pile G, Ratner D, Rzepiela J, Schultz D, Smith T, Stefan P, Tompkins H, Turner J, Welch J, White W, Wu J, Yocky G, Galayda J 2012 Nature Photonics 4 641
[5]	Tanaka H, Kouto S, Hyogo S 2011 Proc. IPAC 2011 (Spain: San Sebastian) pp21-25; also: Tersuya 2011 Synchrotron Radiation News 24 20
[6]	Ishikawa T, Aoyagi H, Asaka T, Asano Y, Azumi N, Bizen T, Ego H, Fukami K, Fukui T, Furukawa Y, Goto S, Hanaki H, Hara T, Hasegawa T, Hatsui T, Higashiya A, Hirono T, Hosoda N, Ishii M, Inagaki T, Inubushi Y, Itoga T, Joti Y, Kago M, Kameshima T, Kimura H, Kirihara Y, Kiyomichi A, Kobayashi T, Kondo C, Kudo T, Maesaka H, Maréchal X, Masuda T, Matsubara S, Matsumoto T, Matsushita T, Matsui S, Nagasono M, Nariyama N, Ohashi H, Toru Ohata T, Ohshima T, Ono S, Otake Y, Saji C, Sakurai T, Sato T, Sawada K, Seike T, Shirasawa K, Sugimoto T, Suzuki S, Takahashi S, Takebe H, Takeshita K, Tamasaku K, Tanaka H, Tanaka R, Tanaka T, Togashi T, Togawa K, Tokuhisa A, Tomizawa H, Tono K, Wu S, Yabashi M, Yamaga M, Yamashita A, Yanagida K, Zhang C, Shintake T, Kitamura H, Kumagai N 2012 Nature Photonics 6 540
[7]	Jiang B, Power J, Lindberg R, Liu W, Gai W 2011 Phys. Rev. Lett. 106 114801
[8]	Labat M, Bellaveglia M, Bougeard M, Carre B, Ciocci F, Chiadroni E, Cianchi A, Couprie M, Cultrera L, DelFranco M, DiPirro G, Drago A, Ferrario M, Filippetto D, Frassetto F, Gallo A, Garzella D, Gatti G, Giannessi L, Lambert G, Mostacci A, Petralia A, Petrillo V, Poletto L, Quattromini M, Rau J, Ronsivalle C, Sabia E, Serluca M, Spassovsky I, Surrenti V, Vaccarezza C, Vicario C 2011 Phys. Rev. Lett. 107 224801
[9]	Dai J, Deng H, Dai Z 2012 Phys. Rev. Lett. 108 034802
[10]	Laban D, Palmer A, Wallace W, Gaffney N, Notermans R, Clevis T, Pullen M, Jiang D, Quiney H, Litvinyuk I, Kielpinski D, Sang R 2012 Phys. Rev. Lett. 109 263902
[11]	Inubushi Y, Tono K, Togashi T, Sato T, Hatsui, T, Kameshima T, Togawa K, Hara T, Tanaka T, Tanaka H, Ishikawa T, Yabashi M 2012 Phys. Rev. Lett. 109 144801
[12]	Okamoto K, Noma T, Komoto A, Kubo W, Takahashi M, Iida A, Miyata H 2012 Phys. Rev. Lett. 109 233907
[13]	Fang L, Osipov T, Murphy B, Tarantelli F, Kukk E, Cryan J, Glownia M, Bucksbaum P, Coffee R, Chen M, Buth C, Berrah N 2012 Phys. Rev. Lett. 109 263001
[14]	Yang X, Shen Y, Podobedov B, Hidaka Y, Seletskiy S, Wang X 2012 Phys. Rev. E 85 026404
[15]	Lindberg R, Shvyd'ko Y 2012 Phys. Rev. ST Accel. Beams 15 050706
[16]	Freund H, Ganguly A 1986 Phys. Rev. A 33 1060
[17]	Zhang S C 2013 Phys. Lett. A 377 319
[18]	Huang X L, Wang S J, Xu Y G, Zhang S C 2012 Phys. Rev. ST Accel. Beams 15 120702
[19]	Xu Y G, Wang S J, Ji Y P, Xu J Y, Lu H, Liu X X, Zhang S C 2013 Acta Phys. Sin. 62 084104 (in Chinese) [徐勇根, 王时建, 吉妤嫔, 徐竟跃, 卢宏, 刘晓旭, 张世昌 2013 62 084104]
[20]	Huang Z, Kim K J 2007 Phys. Rev. ST Accel. Beams 10 034801
[21]	Wang X J, Freund H, Harder D, Miner W, Murphy J, Qian H, Shen Y, Yang X 2009 Phys. Rev. Lett. 103 154801
[22]	Ruan J, Johnson A, Lumpkin A, Thurman-Keup R, Edwards H, Fliller R, Koeth T, Sun Y 2011 Phys. Rev. Lett. 106 244801
[23]	Zhang S C, Liu Q X, Xu Y 1994 Acta Phys. Sin. 43 225 (in Chinese) [张世昌, 刘庆想, 徐勇 1994 43 225]

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