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In this paper, we present a model of calculating the electron beam space-charge field using the partial Galerkin moments method. The space-charge field can be expanded as a series of different modes and thus using the Galerkin series. So, the space-charge field can be obtained finally through the solving the Galerkin coefficient equations set. A 2.5-dimensinal computer program of the beam-wave interaction in a klystron is compiled based on this model. Using the results from the program, the characteristic of the beam space-charge field is analyzed and the effects of the parameter in the simulation on the calculation result of the space-charge field are studied. This model uses the particle in cell method and it can be used in the 2- or 3-dimensional calculation model of the beam-wave interaction in a klystron.
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Keywords:
- klystron /
- space-charge field /
- Galerkin series /
- particle simulation
[1] Ding Y G 2008 Theory and Computer Simulation of High Power Klystron (Beijing: National Defense Industry Press) p70 (in Chinese) [丁耀根 2008 大功率速调管的理论与计算模拟 (北京:国防工业出版社) 第70页]
[2] Hsu H L 2006 Ph. D. Dissertation (Davis: University of California Davis)
[3] Gao D P 2010 Ph. D. Dissertation (Beijing: Institute of Electronics, Chinese Academy of Science) (in Chinese) [高东平 2010 博士学位论文 (北京:中国科学院电子学研究所)]
[4] Zhao D, Ding Y G, Wang Y 2007 Acta Phys. Sin. 56 3324 (in Chinese) [赵鼎, 丁耀根, 王勇 2007 物理学报 56 3324]
[5] Yonezawa H, Okazaki Y, Corporation T 1984 Slac-Tn- 84-5
[6] Xie J L, Zhao Y X 1966 Bunching Theroy of Klystrons (Beijing: Science Press) p88 (in Chinese) [谢家麟, 赵永翔 1966 速调管群聚理论 (北京:科学出版社) 第88页]
[7] Hu Y L, Yang Z H, Li J Q, Li B 2009 Acta Phys. Sin. 58 6665 (in Chinese) [胡玉禄, 杨中海, 李建清, 李斌 2009 物理学报 58 6665]
[8] Gao D P, Du C H, Ding Y G 2010 IEEE Trans. Plasma Sci. 38 88
[9] Zhao D, Ding Y G, Sun P, Wang J H 2006 Acta Phys. Sin. 55 2389 (in Chinese) [赵鼎, 丁耀根, 孙鹏, 王进华 2006 物理学报 55 2389]
[10] Gong H R, Gong Y B, Wei Y Y, Tang K J, Xue D H 2006 Acta Phys. Sin. 55 5368 (in Chinese) [巩华荣, 宫玉彬, 魏彦玉, 唐昌建, 薛东海 2006 物理学报 55 5368]
[11] Shintake T 1989 13th IEEE Particle Accelerator Conference Chicago IL, USA, May 12-20 1989 p94
[12] Zhang J, Zhong H H 2005 Acta Phys. Sin. 54 206 (in Chinese) [张军, 钟辉煌 2005 物理学报 54 206]
[13] Sandalov A N, Piknov V M, Rodyakin V E 2002 The Vacuum Microwave Electronics: the Collection Review Nizhny Novgorod, Rus. May 21-27 2002 p97
[14] Chernyavskiy I A, Abe D K, Cooke S J, Levush B 2009 IEEE Trans. Electron. Dev. 56 877
[15] Botton M, Antonsen T M, Levush B 1998 IEEE Trans. Plasma Sci. 26 882
[16] Goplen B, Ludeking L, Smithe D 1995 Computer Phys. Communications 87 54
[17] Ebeling F, Klatt R, Krawczyk F 1989 IEEE Trans. Magnetics 25 2962
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[1] Ding Y G 2008 Theory and Computer Simulation of High Power Klystron (Beijing: National Defense Industry Press) p70 (in Chinese) [丁耀根 2008 大功率速调管的理论与计算模拟 (北京:国防工业出版社) 第70页]
[2] Hsu H L 2006 Ph. D. Dissertation (Davis: University of California Davis)
[3] Gao D P 2010 Ph. D. Dissertation (Beijing: Institute of Electronics, Chinese Academy of Science) (in Chinese) [高东平 2010 博士学位论文 (北京:中国科学院电子学研究所)]
[4] Zhao D, Ding Y G, Wang Y 2007 Acta Phys. Sin. 56 3324 (in Chinese) [赵鼎, 丁耀根, 王勇 2007 物理学报 56 3324]
[5] Yonezawa H, Okazaki Y, Corporation T 1984 Slac-Tn- 84-5
[6] Xie J L, Zhao Y X 1966 Bunching Theroy of Klystrons (Beijing: Science Press) p88 (in Chinese) [谢家麟, 赵永翔 1966 速调管群聚理论 (北京:科学出版社) 第88页]
[7] Hu Y L, Yang Z H, Li J Q, Li B 2009 Acta Phys. Sin. 58 6665 (in Chinese) [胡玉禄, 杨中海, 李建清, 李斌 2009 物理学报 58 6665]
[8] Gao D P, Du C H, Ding Y G 2010 IEEE Trans. Plasma Sci. 38 88
[9] Zhao D, Ding Y G, Sun P, Wang J H 2006 Acta Phys. Sin. 55 2389 (in Chinese) [赵鼎, 丁耀根, 孙鹏, 王进华 2006 物理学报 55 2389]
[10] Gong H R, Gong Y B, Wei Y Y, Tang K J, Xue D H 2006 Acta Phys. Sin. 55 5368 (in Chinese) [巩华荣, 宫玉彬, 魏彦玉, 唐昌建, 薛东海 2006 物理学报 55 5368]
[11] Shintake T 1989 13th IEEE Particle Accelerator Conference Chicago IL, USA, May 12-20 1989 p94
[12] Zhang J, Zhong H H 2005 Acta Phys. Sin. 54 206 (in Chinese) [张军, 钟辉煌 2005 物理学报 54 206]
[13] Sandalov A N, Piknov V M, Rodyakin V E 2002 The Vacuum Microwave Electronics: the Collection Review Nizhny Novgorod, Rus. May 21-27 2002 p97
[14] Chernyavskiy I A, Abe D K, Cooke S J, Levush B 2009 IEEE Trans. Electron. Dev. 56 877
[15] Botton M, Antonsen T M, Levush B 1998 IEEE Trans. Plasma Sci. 26 882
[16] Goplen B, Ludeking L, Smithe D 1995 Computer Phys. Communications 87 54
[17] Ebeling F, Klatt R, Krawczyk F 1989 IEEE Trans. Magnetics 25 2962
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