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The space-charge-limited currents of both solid electron beam and annular electron beam in cylindrical waveguide are derived from the nonlinear Poisson equation for potential in the region of electron beams. Corrections for the transverse motion of electrons are made to the solution, which bring more consistent with the results from PIC simulations. Though numerical computation, it is showed that electrons located along the axis and by outer radius of solid and annular electron beams respectively and electrons standing near to the outside of the beam has larger axial velocity than these inside. This approach is available for analyzing the characteristics of electron beam transporting in high power microwave generator with other configuration waveguide.
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Keywords:
- relativistic electron beam /
- cylindrical waveguide /
- space-charge-limited current /
- electron beam transportation
[1] ［1］Miller R M 1982 An Introduction to the Physics of Intense Charge Particle Beams(New York: Plenum) p91
[2] ［2］Breizman B, Ryutov D D 1974 Nucl. Fusion 14 873
[3] ［3］Bogdankevich L S, Rukhadze A A 1971 Sov. Phys. Usp. 14 163
[4] ［4］Zeng Z Z, Liu G Z, Shao H 2002 Plasma Sci. Technol. 4 1093
[5] ［5］Sotnikov G V, Yatsenko T Y 2002 Tech. Phys. 47 535
[6] ［6］Song S Y, Qiu X, Wang W D, Lin Q W, Sun C W 2005 High Pow Part. Beams 17 441 (in Chinese) ［宋盛义、仇旭、王文斗、林其文、孙承纬 2005强激光与粒子束17 441］
[7] ［7］Belomyttsev S Y 2003 Tech. Phys. Lett. 29 666
[8] ［8］Li J Q, Mo Y L 2007 Chin. Phys. 16 2716
[9] ［9］Li Y D, He F, Liu C L 2005 High Power Laser Part. Beams 17 913 (in Chinese) ［李永东、何锋、刘纯亮 2005强激光与粒子束 17 913］
[10] ］Liu G Z, Shao H 2003 Chin. Phys. 12 204
[11] ］Shao H, Liu G Z, Song Z M, Huang W H, Hu Y M, Ning H 2001 High Power Laser Part. Beams 13 631 (in Chinese)［邵浩、刘国治、宋志敏、黄文华、胡咏梅、宁辉 2001 强激光与粒子束 13 631］
[12] ］Xiao R Z, Liu G Z, Chen C H 2008 Chin. Phys. B 17 3807
[13] ］Fan Y W, Zhong H H, Li Z Q, Shu T, Yang H W, Yang J H 2008 Chin. Phys. B 17 1804
[14] ］Sloan M L, Thompson J R 1977 Austin Research Associates Report I-ARA-77-U-54
[15] ］Chen Y, Mankowski J, Walter J, Kristiansen M 2007 IEEE Trans. Dielectr. Electr. Insul. 14 1037
[16] ］Mattias E, Tomas H, Anders L, Cecilia M, Sten N 2008 IEEE Trans. Plasma Sci. 36 638
[17] ］Genoni T C, Proctor W A 1978 IEEE International Conference on Plasma Science 18—22 Sept 1978 Montreal p94
[18] ］Tarakanov V P 2004 User’s Manual for Code KARAT (Virginia: Berkeley Research Associate)
[19] ］Li Z Q, Shu T, Zhong H H, Fan Y W, Yang J H, Xu L R, Zhao Y S 2009 High Power Laser Part. Beams 21 421 (in Chinese) ［李志强、舒挺、钟辉煌、樊玉伟、杨建华、许流荣、赵延宋 2009强激光与粒子束21 421］
[20] ］Luo X, Liao C, Meng F B, Zhang Y J, Wang X D 2007 High Power Laser Part. Beams 19 92 (in Chinese) ［罗雄、廖成、孟凡宝、张云俭、王晓东 2007 强激光与粒子束 19 92］
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[1] ［1］Miller R M 1982 An Introduction to the Physics of Intense Charge Particle Beams(New York: Plenum) p91
[2] ［2］Breizman B, Ryutov D D 1974 Nucl. Fusion 14 873
[3] ［3］Bogdankevich L S, Rukhadze A A 1971 Sov. Phys. Usp. 14 163
[4] ［4］Zeng Z Z, Liu G Z, Shao H 2002 Plasma Sci. Technol. 4 1093
[5] ［5］Sotnikov G V, Yatsenko T Y 2002 Tech. Phys. 47 535
[6] ［6］Song S Y, Qiu X, Wang W D, Lin Q W, Sun C W 2005 High Pow Part. Beams 17 441 (in Chinese) ［宋盛义、仇旭、王文斗、林其文、孙承纬 2005强激光与粒子束17 441］
[7] ［7］Belomyttsev S Y 2003 Tech. Phys. Lett. 29 666
[8] ［8］Li J Q, Mo Y L 2007 Chin. Phys. 16 2716
[9] ［9］Li Y D, He F, Liu C L 2005 High Power Laser Part. Beams 17 913 (in Chinese) ［李永东、何锋、刘纯亮 2005强激光与粒子束 17 913］
[10] ］Liu G Z, Shao H 2003 Chin. Phys. 12 204
[11] ］Shao H, Liu G Z, Song Z M, Huang W H, Hu Y M, Ning H 2001 High Power Laser Part. Beams 13 631 (in Chinese)［邵浩、刘国治、宋志敏、黄文华、胡咏梅、宁辉 2001 强激光与粒子束 13 631］
[12] ］Xiao R Z, Liu G Z, Chen C H 2008 Chin. Phys. B 17 3807
[13] ］Fan Y W, Zhong H H, Li Z Q, Shu T, Yang H W, Yang J H 2008 Chin. Phys. B 17 1804
[14] ］Sloan M L, Thompson J R 1977 Austin Research Associates Report I-ARA-77-U-54
[15] ］Chen Y, Mankowski J, Walter J, Kristiansen M 2007 IEEE Trans. Dielectr. Electr. Insul. 14 1037
[16] ］Mattias E, Tomas H, Anders L, Cecilia M, Sten N 2008 IEEE Trans. Plasma Sci. 36 638
[17] ］Genoni T C, Proctor W A 1978 IEEE International Conference on Plasma Science 18—22 Sept 1978 Montreal p94
[18] ］Tarakanov V P 2004 User’s Manual for Code KARAT (Virginia: Berkeley Research Associate)
[19] ］Li Z Q, Shu T, Zhong H H, Fan Y W, Yang J H, Xu L R, Zhao Y S 2009 High Power Laser Part. Beams 21 421 (in Chinese) ［李志强、舒挺、钟辉煌、樊玉伟、杨建华、许流荣、赵延宋 2009强激光与粒子束21 421］
[20] ］Luo X, Liao C, Meng F B, Zhang Y J, Wang X D 2007 High Power Laser Part. Beams 19 92 (in Chinese) ［罗雄、廖成、孟凡宝、张云俭、王晓东 2007 强激光与粒子束 19 92］
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