Effect of normalized plasma frequency on electron phase-space orbits in a free-electron laser

doi:10.1088/1674-1056/23/2/024103

Abstract Irregular phase-space orbits of the electrons are harmful to the electron-beam transport quality and hence deteriorate the performance of a free-electron laser (FEL). In previous literature, it was demonstrated that the irregularity of the electron phase-space orbits could be caused in several ways, such as varying the wiggler amplitude and inducing sidebands. Based on a Hamiltonian model with a set of self-consistent differential equations, it is shown in this paper that the electron-beam normalized plasma frequency functions not only couple the electron motion with the FEL wave, which results in the evolution of the FEL wave field and a possible power saturation at a large beam current, but also cause the irregularity of the electron phase-space orbits when the normalized plasma frequency has a sufficiently large value, even if the initial energy of the electron is equal to the synchronous energy or the FEL wave does not reach power saturation.

Keywords: free-electron laser electron phase-space orbit normalized plasma frequency irregularity

Received: 13 April 2013
Revised: 08 May 2013
Accepted manuscript online:

PACS:	41.60.Cr	(Free-electron lasers)
	52.59.Rz	(Free-electron devices)
	94.05.Pt	(Wave/wave, wave/particle interactions)

Fund: Project supported by the Science Foundation of Department of Education of Sichuan Province, China (Grant No. 12233454), the Youth Foundation of Department of Education of Sichuan Province, China (Grant No. 10ZB080), and the Xihua University Foundation, China (Grant No. Z0913306).

Corresponding Authors: Zhang Shi-Chang
E-mail: sczhang@home.swjtu.edu.cn

About author: 41.60.Cr; 52.59.Rz; 94.05.Pt

Cite this article:

Ji Yu-Pin (吉驭嫔), Wang Shi-Jian (王时建), Xu Jing-Yue (徐竟跃), Xu Yong-Gen (徐勇根), Liu Xiao-Xu (刘晓旭), Lu Hong (卢宏), Huang Xiao-Li (黄小莉), Zhang Shi-Chang (张世昌) Effect of normalized plasma frequency on electron phase-space orbits in a free-electron laser 2014 Chin. Phys. B 23 024103

[1]	Bonifacio R, Casagrande F, Casati G and Celi S 1984 Coherence and Quantum Optics, Vol. V, ed. Mandel L and Wolf E (New York: Plenum Publishing Corp.) p. 801
[2]	Huo Y P 1982 Acta Phys. Sin. 31 1347 (in Chinese)
[3]	Spindler G and Renz G 1991 Nucl. Instrum. Methods Phys. Res. A 304 492
[4]	Riyopoulos S and Tang C 1988 Phys. Fluids 31 1708
[5]	Chen C and Davidson R 1991 Phys. Rev. A 43 5541
[6]	Zhang S C and Xu Y 1993 Phys. Lett. A 179 311
[7]	Zhang S C, Xu Y and Liu Q X 1993 Phys. Rev. E 48 3952
[8]	Bourdier B and Michel-Lours L 1994 Nucl. Instrum. Methods Phys. Res. A 341 244
[9]	Nam S and Kim K 2003 Nucl. Instrum. Methods Phys. Res. A 507 69
[10]	Soleyman A and Mehdian H 2006 Acta Phys. Polonica A 110 459
[11]	Ciraolo G, Chandre C, Lima R, Pettini M and Vittot M 2006 Nucl. Instrum. Methods Phys. Res. A 561 244
[12]	Taghavi A, Esmaeilzadeh M and Fallah M 2010 Phys. Plasmas 17 093103
[13]	Nasr N, Mehdian H and Hasanbeigi A 2011 Phys. Plasmas 18 043104
[14]	Esmaeilzadeh M and Taghavi A 2012 Phys. Plasmas 19 113101
[15]	Saviz S, Lashani E and Aghamir F 2012 Chin. Phys. B 21 104104
[16]	Huang X L, Wang S J, Xu Y G and Zhang S C 2012 Phys. Rev. ST-Accel. Beams 15 120702
[17]	Zhang S C 2013 Phys. Lett. A 377 319
[18]	Xu Y G, Wang S J, Ji Y P, Xu J Y, Lu H, Liu X X and Zhang S C 2013 Acta Phys. Sin. 62 084104 (in Chinese)
[19]	Wang S J, Xu Y G, Ji Y P, Xu J Y, Lu H, Liu X X and Zhang S C 2013 Acta Phys. Sin. 62 144103 (in Chinese)
[20]	Kroll N, Morton P and Rosenbluth M 1981 IEEE J. Quantum Electron. QE-17 1436
[21]	Saldin E L, Chneidmiller E A and Yurkov M V 1999 The Physics of Free Electron Lasers (New York: Springer) p. 66
[22]	Hogan M, Pellegrim C, Rosenzweig J, Anderson S, Frigola P, Tremaine A, Fortgang C, Nguyen D, Sheffield R, Kinross-Wright J, Varfolomeev A, Varfolomeev A A, Tolmachev S and Carr R 1998 Phys. Rev. Lett. 81 4867
[23]	Wang X, Freund H, Harder D, Miner W, Murphy J, Qian H, Shen Y and Yang X 2009 Phys. Rev. Lett. 103 154801
[24]	Marshall T C 1985 Free Electron Lasers (New York: Macmillan Publishing Company) p. 14

[1]	Picosecond terahertz pump-probe realized from Chinese terahertz free-electron laser Chao Wang(王超), Wen Xu(徐文), Hong-Ying Mei(梅红樱), Hua Qin(秦华), Xin-Nian Zhao(赵昕念), Hua Wen(温华), Chao Zhang(张超), Lan Ding(丁岚), Yong Xu(徐勇), Peng Li(李鹏), Dai Wu(吴岱), Ming Li(黎明). Chin. Phys. B, 2020, 29(8): 084101.
[2]	Electric field in two-dimensional complex plasma crystal: Simulated lattices Behnam Bahadory. Chin. Phys. B, 2018, 27(2): 025202.
[3]	Plural interactions of space charge wave harmonics during the development of two-stream instability Victor Kulish, Alexander Lysenko, Michael Rombovsky, Vitaliy Koval, Iurii Volk. Chin. Phys. B, 2015, 24(9): 095201.
[4]	Effects of self-fields on electron trajectory and gain in planar wiggler free-electron lasers with two-stream and ion-channel guiding S. Saviz, M. Karimi. Chin. Phys. B, 2014, 23(3): 034103.
[5]	Characterizing neural activities evoked by manual acupuncture through spiking irregularity measures Xue Ming (薛明), Wang Jiang (王江), Deng Bin (邓斌), Wei Xi-Le (魏熙乐), Yu Hai-Tao (于海涛), Chen Ying-Yuan (陈颖源). Chin. Phys. B, 2013, 22(9): 098703.
[6]	Dispersion relation and growth rate for a corrugated channel free-electron laser with a helical wiggler pump A. Hasanbeigi, H. Mehdiank. Chin. Phys. B, 2013, 22(7): 075205.
[7]	Three-dimensional simulation of long-wavelength free-electron lasers with helical wiggler and ion-channel guiding F. Jafari Bahman, B. Maraghechi. Chin. Phys. B, 2013, 22(7): 074102.
[8]	Efficiency enhancement of a two-beam free-electron laser using a nonlinearly tapered wiggler Maryam Zahedian, B. Maraghechi, and M.H. Rouhani . Chin. Phys. B, 2012, 21(3): 034101.

No Suggested Reading articles found!

Viewed

Full text

Abstract

Cited

Metrics
Related Articles

Effect of normalized plasma frequency on electron phase-space orbits in a free-electron laser

Cite this article:

Online attention