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拉曼型自由电子激光器作为一种兆瓦级高功率毫米波、太赫兹波辐射源, 其电子的运动稳定性对整体器件的性能至关重要.本文采用科尔莫戈罗夫熵方法, 以典型的麻省理工学院公布的实验数据为例, 比较研究拉曼型正向导引磁场和反向导引磁场两类自由电子激光器中相对论电子的运动稳定性. 结果表明:摇摆器绝热压缩磁场对电子运动的稳定性无实质性影响, 但对电子运动影响大; 电子束自身场在拉曼型正向导引磁场自由电子激光器中使电子运动稳定性变差, 而在拉曼型反向导引磁场自由电子激光器中则可改善电子运动稳定性.
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关键词:
- 拉曼型自由电子激光器 /
- 相对论电子运动稳定性 /
- 科尔莫戈罗夫熵 /
- 电子束自身场
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.-
Keywords:
- Raman free-electron laser /
- relativistic electron motion stability /
- Kolmogorov entropy /
- electron-beam self-field
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[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
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[6] Conde M, Bekefi G 1991 Phys. Rev. Lett. 67 3082
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[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
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[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 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
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[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 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 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
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