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In order to further study the radiation of the relativistic electron beam-ion channel experimentally and theoretically, the propagation of a relativistic electron beam in neutral gas and its self-focusing process are investigated. Particle in cell (PIC) simulation shows that the electron beam can self-focus and transmit the dynamically loaded plasma through impact ionization. The transverse and the longitude inhomogeneities of the ion background have significant effects on the transport properties of the electron beam. Base on these researches, a model of transmission of electron beam in a transverse non-uniform ion background is supposed. And the condition of self-focus is given. The numerical results show that the transverse inhomogeneity will lead to the mixed phase transmission of the electron beam, and the inner electrons can defocus near the focus point, which is consistent with the PIC simulation. The PIC simulation also shows that due to the self-focusing of the electron beam, there are much more ions to be ionized at the focus point, which will capture the lower-energy electrons after collision, the capture electron effect will significantly reduce the efficiency of the transmission of the electron beam. But the distribution of the captured electrons in the longitude direction is quasi-periodic, which acts as the electrostatic Wiggler field. These may achieve the dynamical loading of the electrostatic Wiggler field. These results give new clues to the further study of electron beam-plasma system in experiment and the establishment of theoretical models.
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Keywords:
- relativistic electron beam /
- ion channel /
- self-focus /
- PIC simulation
[1] Bohm D, Gross E P 1949 Phys. Rev. 15 1864
[2] Achiezer A J, Fainberg Y B 1950 Doklady AN USSR 73(I) 555
[3] Zavjalov M A, Mitin L A, Perevodchikov V I, Tskhai V I, Shapiro A L 1994 IEEE Trans. Plasma Sci. 22 600
[4] Goebel D M 1999 IEEE Trans. Plasma Sci. 27 800
[5] Rouhani M H, Maraghechi 2006 Phys. Plasmas 13 083101
[6] Wang B, Tang C J, liu P K 2006 Acta Phys. Sin. 55 5953 (in Chinese) [王斌, 唐昌建, 刘濮鲲 2006 55 5953]
[7] Su D, Tang C J, Liu P K 2007 Acta Phys. Sin. 56 2802 (in Chinese) [苏东, 唐昌建, 刘濮鲲 2007 56 2802]
[8] Su D, Tang C J 2009 Phys. Plasmas 16 053101
[9] Mirzanejhad S, Sohbatzadeh Ghasemi F M, Sedaghat Z, Mahdian Z 2010 Phys. Plasma 17 053106
[10] Wang Z Y, Tang C J 2010 Phys. Plasmas 17 083114
[11] Bret A, Gremillet L, Dieckmann M E 2010 Phys. Plasmas 17 120501
[12] Su D, Tang C J 2011 Phys. Plasmas 18 023104
[13] Ng J S T , Chen P, Baldis H, BoltonP, Cline D, CraddockW, Crawford C, Decker F J, Field C, Fukui Y, Kumar V, Iverson R, King F, Kirby R E, Nakajima K, Noble R, Ogata A, Raimondi P, Walz D, Weidemann A W 2001 Phys. Rev. Lett. 87 244801
[14] Barov N, Rosenzweig J B, Conde M E, Gai W, Power J G 2000 Phys. Rev. Special Topics Accel. Beams 3 011301
[15] Amiranoff, Bernard D, Cros B, Jacquet F, Matthieussent G, Mine P, Mora P, Morillo J, Moulin F 1995 Phys. Rev. Lett. 74 5220
[16] Lindberg R R, Charman A E, Wurtele J S 2004 Phys. Rev. Lett. 93 5
[17] Song F L, Zhang Y H, Xiang F, Chang A B 2008 Acta Phys. Sin. 57 1807 (in Chinese) [宋法伦, 张永辉, 向飞, 常安碧 2008 57 1807]
[18] Goebel D M, Ponti E S, Feicht J R, Watkins R M 1996 Intense Microwave Pulses IV 69 2843
[19] Zhou H F, Tang C J 2008 High Power Laser and Particle Beams 20 147 (in Chinese) [周华芳, 唐昌建 2008 强激光与粒子束 20 147]
[20] Barker R J 4I?, ±D2 (è) 2005 High-power Microwave Sources and Technologies, First edition(Beijing: Tsinghua University Press)p256, 258 (in Chinese) [刘国志, 周传明 译2005 高功率微波源与技术 第一版(北京: 清华大学出版社)第256,258页]?]
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[1] Bohm D, Gross E P 1949 Phys. Rev. 15 1864
[2] Achiezer A J, Fainberg Y B 1950 Doklady AN USSR 73(I) 555
[3] Zavjalov M A, Mitin L A, Perevodchikov V I, Tskhai V I, Shapiro A L 1994 IEEE Trans. Plasma Sci. 22 600
[4] Goebel D M 1999 IEEE Trans. Plasma Sci. 27 800
[5] Rouhani M H, Maraghechi 2006 Phys. Plasmas 13 083101
[6] Wang B, Tang C J, liu P K 2006 Acta Phys. Sin. 55 5953 (in Chinese) [王斌, 唐昌建, 刘濮鲲 2006 55 5953]
[7] Su D, Tang C J, Liu P K 2007 Acta Phys. Sin. 56 2802 (in Chinese) [苏东, 唐昌建, 刘濮鲲 2007 56 2802]
[8] Su D, Tang C J 2009 Phys. Plasmas 16 053101
[9] Mirzanejhad S, Sohbatzadeh Ghasemi F M, Sedaghat Z, Mahdian Z 2010 Phys. Plasma 17 053106
[10] Wang Z Y, Tang C J 2010 Phys. Plasmas 17 083114
[11] Bret A, Gremillet L, Dieckmann M E 2010 Phys. Plasmas 17 120501
[12] Su D, Tang C J 2011 Phys. Plasmas 18 023104
[13] Ng J S T , Chen P, Baldis H, BoltonP, Cline D, CraddockW, Crawford C, Decker F J, Field C, Fukui Y, Kumar V, Iverson R, King F, Kirby R E, Nakajima K, Noble R, Ogata A, Raimondi P, Walz D, Weidemann A W 2001 Phys. Rev. Lett. 87 244801
[14] Barov N, Rosenzweig J B, Conde M E, Gai W, Power J G 2000 Phys. Rev. Special Topics Accel. Beams 3 011301
[15] Amiranoff, Bernard D, Cros B, Jacquet F, Matthieussent G, Mine P, Mora P, Morillo J, Moulin F 1995 Phys. Rev. Lett. 74 5220
[16] Lindberg R R, Charman A E, Wurtele J S 2004 Phys. Rev. Lett. 93 5
[17] Song F L, Zhang Y H, Xiang F, Chang A B 2008 Acta Phys. Sin. 57 1807 (in Chinese) [宋法伦, 张永辉, 向飞, 常安碧 2008 57 1807]
[18] Goebel D M, Ponti E S, Feicht J R, Watkins R M 1996 Intense Microwave Pulses IV 69 2843
[19] Zhou H F, Tang C J 2008 High Power Laser and Particle Beams 20 147 (in Chinese) [周华芳, 唐昌建 2008 强激光与粒子束 20 147]
[20] Barker R J 4I?, ±D2 (è) 2005 High-power Microwave Sources and Technologies, First edition(Beijing: Tsinghua University Press)p256, 258 (in Chinese) [刘国志, 周传明 译2005 高功率微波源与技术 第一版(北京: 清华大学出版社)第256,258页]?]
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