Abstract The effects of corrugated ion channels on electron trajectories and spatial growth rate for a free-electron laser with a one-dimensional helical wiggler have been investigated. Analysis of the steady-state electron trajectories is performed by solving equations of motion. Our results show that the presence of corrugated channel shifts the resonance frequency to smaller values of ion channel frequency. The sixth-order dispersion equation describing the coupling between the electrostatic beam mode and the electromagnetic mode has also been derived. The characteristic of dispersion relation is analyzed in detail by numerical solution. Results show that the growth rate of instability in the presence of corrugated ion channels can be greatly enhanced relative to the case of an uniform ion channel.
Corresponding Authors:
A. Hasanbeigi
E-mail: hbeigi@tmu.ac.ir
Cite this article:
A. Hasanbeigi, H. Mehdiank Dispersion relation and growth rate for a corrugated channel free-electron laser with a helical wiggler pump 2013 Chin. Phys. B 22 075205
[1]
Takayama K and Hiramatsu S 1988 Phys. Rev. A 37 173
[2]
Jha P and Kumar P 1996 IEEE Trans. Plasma Sci. 24 359
[3]
Jha P and Kumar P 1998 Phys. Rev. E 57 2256
[4]
Su D and Tang C J 2011 Phys. Plasmas 18 023104
[5]
Sadegzadeh S, Hasanbeigi A, Mehdian H and Alimohamadi M 2012 Phys. Plasmas 19 023108
[6]
Seo Y, Tripathi V K and Liu C S 1989 Phys. Fluids B 1 221
[7]
Kurino H, Ebihara K, Hiramatsu S, Kimura Y, Kishiro J, Monaka T, Ozaki T and Takayama K 1990 Part. Accel 31 89
[8]
Mehdian H and Raghavi A 2006 Plasma Phys. Control. Fusion 48 991
[9]
Lee H C and Jiang T F 2010 Phys. Plasmas 17 113109
[10]
Mehdian H, Hasanbeigi A and Jafari S 2010 Phys. Plasmas 17 023112
[11]
Raghavi A, Ninno G D and Mehdian H 2008 Nucl. Instrum. Meth. A 591 338
[12]
Esmaeilzadeh M, Mehdian H and Willett J E 2002 Phys. Rev. E 65 016501
[13]
Jafari B and Maraghechi B 2012 Phys. Plasmas 19 013107
[14]
Zhen Y W, Tang C J and Peng X D 2010 Phys. Plasmas 17 083114
[15]
Miller J D and Gilgenbach R M 1987 Phys. Fluids 30 3165
[16]
Bosch R A and Gilgenbach R M 1988 Phys. Fluids 31 634
[17]
Golub Y Y and Rozanov N E 1995 Tech. Phys. 40 346
[18]
Hasanbeigi A, Mehdian H and Jafari S 2011 Chin. Phys. B 20 094103
[1]
Plasma assisted molecular beam epitaxial growth of GaN with low growth rates and their properties Zhen-Hua Li(李振华), Peng-Fei Shao(邵鹏飞), Gen-Jun Shi(施根俊), Yao-Zheng Wu(吴耀政), Zheng-Peng Wang(汪正鹏), Si-Qi Li(李思琦), Dong-Qi Zhang(张东祺), Tao Tao(陶涛), Qing-Jun Xu(徐庆君), Zi-Li Xie(谢自力), Jian-Dong Ye(叶建东), Dun-Jun Chen(陈敦军), Bin Liu(刘斌), Ke Wang(王科), You-Dou Zheng(郑有炓), and Rong Zhang(张荣). Chin. Phys. B, 2022, 31(1): 018102.
The stability margin on EAST tokamak Qian Jin-Ping(钱金平), Wan Bao-Nian(万宝年), Shen Biao(沈彪), M.L. Walker, D.A. Humphreys, and Xiao Bing-Jia(肖炳甲). Chin. Phys. B, 2009, 18(6): 2432-2440.
Altmetric calculates a score based on the online attention an article receives. Each coloured thread in the circle represents a different type of online attention. The number in the centre is the Altmetric score. Social media and mainstream news media are the main sources that calculate the score. Reference managers such as Mendeley are also tracked but do not contribute to the score. Older articles often score higher because they have had more time to get noticed. To account for this, Altmetric has included the context data for other articles of a similar age.
