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Based on the relativistic Brillouin flow theory, electron current and power loss in loss-front stage of coaxial cylinder vacuum magnetically insulated transmission line (MITL) are deduced under limiting current approximation. Through the particle-in-cell (PIC) model, loss currents and loss powers under different anode voltages are simulated. Simulation and theory results show that the proportions of loss current and loss power to the total current and power decrease when cathode-anode voltage increases. Beyond 4MV, limiting current approximation fits simulation results better than minimum current approximation. At voltages higher than 10 MV, relative error from limiting approximation is under 10%, while it exceeds 50% under minimum current approximation. This work is meaningful for establishing full circuit simulation of MITL system.
[1] Stygar W A, Spielman R B, Allshouse G O, Deeney C, Humphreys D R, Ives H C, Long F W, Martin T H, Matzen M K, McDaniel D H, Mendel C W Jr, Mix L P, Nash T J, Poukey J W, Ramirez J J, Sanford T W L, Seamen J F, Seidel D B, Smith J W, Van De Valde D M, Wavrik R W, Corcoran P A, Douglas J W, Smith I D, Mostrom M A, Struve K W, Hughes T P, Clark R E, Shoup R W, Wagoner T C, Gilliland T L, Peyton B P 1997 Proceedings of the 11th IEEE International Pulsed Power Conference, Baltimore MA 1997 p591
[2] Spielman R B, Long F, Martin T H, Poukey J W, Seidel D B, Shoup W, Stygar W A, McDaniel D H, Mostrom M A, Struve K W, Corcoran P, Smith I, Spence P 1995 Proceedings of the 10th IEEE Pulsed Power Conference, Albuquerque NM 1995 p396
[3] Creedon J M 1977 J. Appl. Phys.48 1070
[4] Song S Y 2004 Ph.D. Dissertation (Mianyang: China Academy of Engineering Physics) (in Chinese) [宋盛义 2004 博士学位论文 (绵阳: 中国工程物理研究院)]
[5] Wang M Y, Di Capua M S 1980 J. Appl. Phys. 51 5610
[6] Belomyttsev S Y, Kirikov A V, Ryzhov V V 2005 Tech. Phys. Lett. 31 394
[7] Li Y D, Wang H G, Liu C L, Zhang D H, Wang J G, Wang Y 2009 High Power Laser and Particle Beams 21 1866 (in Chinese) [李永东, 王洪广, 刘纯亮, 张殿辉, 王建国, 王玥 2009 强激光与粒子束 21 1866]
[8] Creedon J 1975 J. Appl. Phys. 46 2946
[9] Bluhm H 2008 Pulsed Power Systems: Principles and Applications (Beijing: Tsinghua University Press ) p130 (in Chinese) [布鲁姆 2008 脉冲功率系统的原理与应用 (北京: 清华出版社)第130页]
[10] Bergeron K D 1977 J. Appl. Phys. 48 3065
[11] Liu X S 2007 High Pulsed Power Technology (Beijing: National Defence Industry Press) p172 (in Chinese) [刘锡三 2007 高功率脉冲技术 (北京: 国防工业出版社) 第172页]
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[1] Stygar W A, Spielman R B, Allshouse G O, Deeney C, Humphreys D R, Ives H C, Long F W, Martin T H, Matzen M K, McDaniel D H, Mendel C W Jr, Mix L P, Nash T J, Poukey J W, Ramirez J J, Sanford T W L, Seamen J F, Seidel D B, Smith J W, Van De Valde D M, Wavrik R W, Corcoran P A, Douglas J W, Smith I D, Mostrom M A, Struve K W, Hughes T P, Clark R E, Shoup R W, Wagoner T C, Gilliland T L, Peyton B P 1997 Proceedings of the 11th IEEE International Pulsed Power Conference, Baltimore MA 1997 p591
[2] Spielman R B, Long F, Martin T H, Poukey J W, Seidel D B, Shoup W, Stygar W A, McDaniel D H, Mostrom M A, Struve K W, Corcoran P, Smith I, Spence P 1995 Proceedings of the 10th IEEE Pulsed Power Conference, Albuquerque NM 1995 p396
[3] Creedon J M 1977 J. Appl. Phys.48 1070
[4] Song S Y 2004 Ph.D. Dissertation (Mianyang: China Academy of Engineering Physics) (in Chinese) [宋盛义 2004 博士学位论文 (绵阳: 中国工程物理研究院)]
[5] Wang M Y, Di Capua M S 1980 J. Appl. Phys. 51 5610
[6] Belomyttsev S Y, Kirikov A V, Ryzhov V V 2005 Tech. Phys. Lett. 31 394
[7] Li Y D, Wang H G, Liu C L, Zhang D H, Wang J G, Wang Y 2009 High Power Laser and Particle Beams 21 1866 (in Chinese) [李永东, 王洪广, 刘纯亮, 张殿辉, 王建国, 王玥 2009 强激光与粒子束 21 1866]
[8] Creedon J 1975 J. Appl. Phys. 46 2946
[9] Bluhm H 2008 Pulsed Power Systems: Principles and Applications (Beijing: Tsinghua University Press ) p130 (in Chinese) [布鲁姆 2008 脉冲功率系统的原理与应用 (北京: 清华出版社)第130页]
[10] Bergeron K D 1977 J. Appl. Phys. 48 3065
[11] Liu X S 2007 High Pulsed Power Technology (Beijing: National Defence Industry Press) p172 (in Chinese) [刘锡三 2007 高功率脉冲技术 (北京: 国防工业出版社) 第172页]
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