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Comparative study of relativistic electron motion stability in a Raman free-electron laser

Xu Yong-Gen Wang Shi-Jian Ji Yu-Pin Xu Jing-Yue Lu Hong Liu Xiao-Xu Zhang Shi-Chang

Comparative study of relativistic electron motion stability in a Raman free-electron laser

Xu Yong-Gen, Wang Shi-Jian, Ji Yu-Pin, Xu Jing-Yue, Lu Hong, Liu Xiao-Xu, Zhang Shi-Chang
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  • In the Raman free-electron laser as a high-power radiation source with megawatt in millimeter and terahertz wave ranges, the stability of relativistic electron motion is of importance for the performance of the device. By making use of the reported MIT experimental data and Kolmogorov entropy, comparative study is carried out on the stability of the relativistic electron motion in a Raman free-electron laser with positive/reversed guide magnetic field. Results show that the wiggler adiabatic field has trivial influence on the stability of electron motion but substantially affects the electron motion itself in both positive and reversed guide magnetic field cases; the self-field of the electron beam deteriorates the motion stability in the case of a positive guide magnetic field, but favors the motion stability in the case of a reversed guide magnetic field.
    • Funds: Project supported by the Foundation of Sichuan Provincial Department of Education, China (Grant No. 12ZB136) and the Xihua University Foundation, China (Grant No. Z1123329).
    [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]

    Emma P, Akre R, Arthur J, Binota R, Bostedt C 2012 Nature Photonics 4 641

    [4]

    Tersuya H 2011 Synchrotron Radiation News 24 20

    [5]

    Orzechowski T, Anderson B, Clark J, Fawley W, Pau A, Prosnitz D, Scharlemann E, Yarema S 1986 Phys. Rev. Lett. 57 2172

    [6]

    Conde M, Bekefi G 1991 Phys. Rev. Lett. 67 3082

    [7]

    Xie J, Zhuang J, Huang Y, Li Y, Lin S, Yang R, Zhong Y, Zhang L, Wu G, Zhang Y, Chao C, Li L, Fu E, Su J, Wang Y, Wang G 1995 Nucl. Instru. Meth. Phys. Res. A358 256

    [8]

    Jin X, Li M, Xu Z, Li W, Yang X 2006 High Energy Phys. & Nucl. Phys. 30 96 (in Chinese) [金晓, 黎明, 许州, 黎维华, 杨兴繁 2006 高能物理与核物理 30 96]

    [9]

    Dai J, Deng H, Dai Z 2012 Phys. Rev. Lett. 108 034802

    [10]

    Labat M, Bellaveglia M, Bougeard M, Carre B, Ciocci F 2011 Phys. Rev. Lett. 107 224801

    [11]

    Son S, Moon S 2012 Phys. Plasmas 19 063102

    [12]

    Zhang S C 2010 Phys. Plasmas 17 053102

    [13]

    Lin X, Zhang J, Lu Y, Luo F, Lu S, Yu T, Dai Z 2010 Chin Phys. Lett. 27 044101

    [14]

    Kong Y Y, Zhang S C 2011 Acta Phys. Sin. 60 095201 (in Chinese) [孔艳岩, 张世昌2011 物理学报 60 095201]

    [15]

    Ginzburg N, Golubev I, Kaminsky A, Kuzikov S, Perelstein E 2011 Phys. Rev. ST Accel. Beams 14 041002

    [16]

    Vikharev A, Ginzburg N, Golubev I, Danilov Y, Zaitsev N 2011 Tech. Phys. Lett. 37 102

    [17]

    Chen C, Davidson R C 1990 Phys. Fluids B 2 171

    [18]

    Chen C, Davidson R C 1990 Phys. Rev. A 42 5041

    [19]

    Spindler G, Renz G 1991 Phys. Fluids B 3 3517

    [20]

    Zhang S C, Xu Y, Liu Q X 1993 Phys. Rev. E 48 3952

    [21]

    Zhang S C, Xu Y 1993 Phys. Lett. A 179 311

    [22]

    Nasr N, Mehdian H, Hasanbeigi A 2011 Phys. Plasmas 18 043104

    [23]

    Abarbanel H, Brown R, Sidorovich J, Tsimring L 1993 Rev. Mod. Phys. 65 1331

    [24]

    Benettin G, Galgani L, Strelcyn J 1976 Phys. Rev. A 14 2338

    [25]

    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 物理学报 43 225]

    [26]

    Zhang S C, Elgin J 2004 Phys. Plasmas 11 1663

    [27]

    Taghavi A, Esmaeilzadeh M, Fallah M 2010 Phys. Plasmas 17 093103

    [28]

    Zhang S C 2013 Phys. Lett. A 377 319

    [29]

    Fajans J, Bekefi G, Yin Y Z 1985 Phys. Fluids 28 1995

    [30]

    Freund H, Ganguly A 1986 Phys. Rev. A 33 1060

  • [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]

    Emma P, Akre R, Arthur J, Binota R, Bostedt C 2012 Nature Photonics 4 641

    [4]

    Tersuya H 2011 Synchrotron Radiation News 24 20

    [5]

    Orzechowski T, Anderson B, Clark J, Fawley W, Pau A, Prosnitz D, Scharlemann E, Yarema S 1986 Phys. Rev. Lett. 57 2172

    [6]

    Conde M, Bekefi G 1991 Phys. Rev. Lett. 67 3082

    [7]

    Xie J, Zhuang J, Huang Y, Li Y, Lin S, Yang R, Zhong Y, Zhang L, Wu G, Zhang Y, Chao C, Li L, Fu E, Su J, Wang Y, Wang G 1995 Nucl. Instru. Meth. Phys. Res. A358 256

    [8]

    Jin X, Li M, Xu Z, Li W, Yang X 2006 High Energy Phys. & Nucl. Phys. 30 96 (in Chinese) [金晓, 黎明, 许州, 黎维华, 杨兴繁 2006 高能物理与核物理 30 96]

    [9]

    Dai J, Deng H, Dai Z 2012 Phys. Rev. Lett. 108 034802

    [10]

    Labat M, Bellaveglia M, Bougeard M, Carre B, Ciocci F 2011 Phys. Rev. Lett. 107 224801

    [11]

    Son S, Moon S 2012 Phys. Plasmas 19 063102

    [12]

    Zhang S C 2010 Phys. Plasmas 17 053102

    [13]

    Lin X, Zhang J, Lu Y, Luo F, Lu S, Yu T, Dai Z 2010 Chin Phys. Lett. 27 044101

    [14]

    Kong Y Y, Zhang S C 2011 Acta Phys. Sin. 60 095201 (in Chinese) [孔艳岩, 张世昌2011 物理学报 60 095201]

    [15]

    Ginzburg N, Golubev I, Kaminsky A, Kuzikov S, Perelstein E 2011 Phys. Rev. ST Accel. Beams 14 041002

    [16]

    Vikharev A, Ginzburg N, Golubev I, Danilov Y, Zaitsev N 2011 Tech. Phys. Lett. 37 102

    [17]

    Chen C, Davidson R C 1990 Phys. Fluids B 2 171

    [18]

    Chen C, Davidson R C 1990 Phys. Rev. A 42 5041

    [19]

    Spindler G, Renz G 1991 Phys. Fluids B 3 3517

    [20]

    Zhang S C, Xu Y, Liu Q X 1993 Phys. Rev. E 48 3952

    [21]

    Zhang S C, Xu Y 1993 Phys. Lett. A 179 311

    [22]

    Nasr N, Mehdian H, Hasanbeigi A 2011 Phys. Plasmas 18 043104

    [23]

    Abarbanel H, Brown R, Sidorovich J, Tsimring L 1993 Rev. Mod. Phys. 65 1331

    [24]

    Benettin G, Galgani L, Strelcyn J 1976 Phys. Rev. A 14 2338

    [25]

    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 物理学报 43 225]

    [26]

    Zhang S C, Elgin J 2004 Phys. Plasmas 11 1663

    [27]

    Taghavi A, Esmaeilzadeh M, Fallah M 2010 Phys. Plasmas 17 093103

    [28]

    Zhang S C 2013 Phys. Lett. A 377 319

    [29]

    Fajans J, Bekefi G, Yin Y Z 1985 Phys. Fluids 28 1995

    [30]

    Freund H, Ganguly A 1986 Phys. Rev. A 33 1060

  • [1] GUO SHU-YING. INSTABILITIES EXCITED BY HEAD-ON COLLISIONS OF TWO RELATIVISTIC ELECTRON BEAMS. Acta Physica Sinica, 1982, 31(2): 143-149. doi: 10.7498/aps.31.143
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    [4] LI ZHI-KUAN. DAMPED MOTION OF AN ELECTRON IN FREE-ELECTRON LASER. Acta Physica Sinica, 2000, 49(5): 893-897. doi: 10.7498/aps.49.893
    [5] XU YONG, ZHANG SHI-CHANG, LIU QING-XIANG. ENTROPY-LIKE QUANTITY OF THE EQUILIBRIUM ELECTRONS IN A FREE-ELECTRON LASER WITH REVERSED GUIDE FIELD. Acta Physica Sinica, 1994, 43(2): 225-232. doi: 10.7498/aps.43.225
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    [16] Wang Shi-Jian, Xu Yong-Gen, Ji Yu-Pin, Xu Jing-Yue, Lu Hong, Liu Xiao-Xu, Zhang Shi-Chang. Characteristics of electron motion in a short-wavelength free-electron laser . Acta Physica Sinica, 2013, 62(14): 144103. doi: 10.7498/aps.62.144103
    [17] Liu Jing, Shu Ting, Li Zhi-Qiang. Further theoretical study on laminar-flow equilibria in magnetically focused relativistic electron beams. Acta Physica Sinica, 2010, 59(3): 1895-1901. doi: 10.7498/aps.59.1895
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  • Received Date:  09 October 2012
  • Accepted Date:  07 November 2012
  • Published Online:  05 April 2013

Comparative study of relativistic electron motion stability in a Raman free-electron laser

  • 1. Department of Physics, School of Physics and Chemistry, Xihua University, Chengdu 610039, China;
  • 2. Institute of Photoelectronics, Southwest Jiaotong University, Chengdu 610031, China
Fund Project:  Project supported by the Foundation of Sichuan Provincial Department of Education, China (Grant No. 12ZB136) and the Xihua University Foundation, China (Grant No. Z1123329).

Abstract: In the Raman free-electron laser as a high-power radiation source with megawatt in millimeter and terahertz wave ranges, the stability of relativistic electron motion is of importance for the performance of the device. By making use of the reported MIT experimental data and Kolmogorov entropy, comparative study is carried out on the stability of the relativistic electron motion in a Raman free-electron laser with positive/reversed guide magnetic field. Results show that the wiggler adiabatic field has trivial influence on the stability of electron motion but substantially affects the electron motion itself in both positive and reversed guide magnetic field cases; the self-field of the electron beam deteriorates the motion stability in the case of a positive guide magnetic field, but favors the motion stability in the case of a reversed guide magnetic field.

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