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一种非轴对称磁绝缘电子鞘层边界的计算方法

魏浩 孙凤举 呼义翔 梁天学 丛培天 邱爱慈

一种非轴对称磁绝缘电子鞘层边界的计算方法

魏浩, 孙凤举, 呼义翔, 梁天学, 丛培天, 邱爱慈
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  • 长距离磁绝缘传输线内电极偏心、感应腔注入电流非均匀分布引起电子鞘层边界偏心等非对称磁绝缘特性.电子鞘层边界是研究非轴对称磁绝缘特性的重要参数.本文提出一种计算非轴对称磁绝缘电子鞘层边界的方法.通过引入角向非均匀分布的模数,将经典一维轴对称Creedon稳态磁绝缘理论推广应用于圆柱坐标系下二维(r,)平面.建立了感应电压叠加器次级非轴对称磁绝缘的二维Creedon物理模型,给出了非轴对称磁绝缘电子鞘层边界的数值计算方法和计算误差.当阴极角向磁场(阴极电流)角向分布满足余弦函数时,电子鞘层边界接近高斯分布.阴极电流角向不均匀程度越大,电子鞘层边界偏心程度越严重,计算误差越大.
      通信作者: 魏浩, weihaoyy@nint.ac.cn;qiuac@cae.cn ; 邱爱慈, weihaoyy@nint.ac.cn;qiuac@cae.cn
    • 基金项目: 国家自然科学基金(批准号:11505138,51577156)资助的课题.
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    Thomas K, Beech P, Brown S, Buck J, Burscough J, Clough S, Crotch I, Duff Y J, Goes C, Huckle I, Jones A, King A, Stringer B, Threadgold J, Trenaman S, Wheeldon R, Woodroofe M, Carboni V, DaSilva T, Galver B, Glazebrook W, Hanzel K, Pearce J, Pham J, Pomeroy S, Saunders W, Speits D, Warren T, Whitney B, Wilson J 2011 Proceeding of 18th IEEE Pulsed Power Conference Chicago, USA, 19-23 June, 2011 p1042

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    Wei H, Sun F J, Liang T X, Guo J M, Qiu A C, Cong P T, Yin J H, Hu Y X, Jiang X F, Wang Z G, Dang T F 2015 IEEE Trans. Plasma Sci. 43 3359

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    Zou W K, Chen L, Liu D G, Zhang L, Liu L Q, Zhou L J, Wang M, Wei B, Guo F, Wang X Q, Dai Y M, Xie W P, Deng J J 2012 Phys. Rev. Spec. Top. Accel. Beams 15 110401

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    Johnson D L, Smith I D, Corcoran P, Bailey V, Maenchen J, Rovang D, Molina I, Hahn K, Lucero R, Kincy M, Kitterman D, Oliver B, Welch D, Rose D, Goldsack T J, Phillips M A, Sinclair M A, Thomas K J 2002 Proceeding of 14th IEEE High Power Particle Beams Conference Albuquerque, USA, 23-28 June, 2002 p123

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    Oliver B V, Genoni T C 2003 Proceeding of 14th IEEE Pulsed Power Conference Dallas, USA, June 15-18, 2003 p395

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    Bruner N, Mostrom C, Rose D V, Welch D R, Bailey V, Johnson D L, Oliver B V 2007 Proceeding of 16th IEEE Pulsed Power Conference Albuquerque, USA, June 17-22, 2007 p807

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    Qian B L, Liu Y G, Li C L, Liu C B 2000 IEEE Trans. Plasma Sci. 28 760

    [26]

    Fuks M I, Schamiloglu E 2014 Phys. Plasmas 21 053102

    [27]

    Bluhm H (translated by Jiang W H, Zhang C) 2008 Pulsed Power Systems:Principles and Application (Beijing:Tsinghua University Press) pp128-135(in Chinese)[布鲁姆H著(江伟华, 张弛译) 2008脉冲功率系统的原理与应用(北京:清华大学出版社)第128-135页]

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    [30]

    Xue D Y Chen Y Q 2011 Technology and Application of System Simulation Based on MATLAB and Simulink (Beijing:Tsinghua University Press) pp108-110(in Chinese)[薛定宇, 陈阳泉2011基于MATLAB/Simulink的系统仿真技术与应用(北京:清华大学出版社)第108-110页]

  • [1]

    Stygar W A, Corcoran P A, Ives H C, Spielman R B, Douglas J W, Whitney B A, Mostrom M A, Wagoner T C, Speas C S, Gilliland T L, Allshouse G A, Clark R E, Donovan G L, Hughes T P, Humphreys D R, Jaramillo D M, Johnson M F, Kellogg J W, Leeper R J, Long F W, Martin T H, Mulville T D, Pelock M D, Peyton B P, Poukey J W, Ramirez J J, Reynolds P G, Seamen J F, Seidel D B, Seth A P, Sharpe A W, Shoup R W, Smith J W, Vandevalde D M, Wavrik R W 2009 Phys. Rev. Spec. Top. Accel. Beams. 12 120401

    [2]

    Stygar W A, Awe T J, Bailey J E, Bennett N L, E W Breden, Campbell E M, Clark R E, Cooper R A, Cuneo M E, Ennis J B, Fehl D L, Genoni T C, Gomez M R, Greiser G W, Gruner F R, Herrmann M C, Hutsel B T, Jennings C A, Jobe D O, Jones B M, M C Jones, Jones P A, Knapp P F, Lash J S, LeChien K R, Leckbee J J, Leeper R J, Lewis S A, Long F W, Lucero D J, Madrid E A, Martin M R, Matzen M K, Mazarakis M G, McBride R D, McKee G R, Miller C L, Moore J K, Mostrom C B, Mulville T D, Peterson K J, Porter J L, Reisman D B, Rochau G A, Rochau G E, Rose D V, Rovang D C, Savage M E, Sceiford M E, Schmit P F, Schneider R F, Schwarz J, Sefkow A B, Sinars D B, Slutz S A, Spielman R B, Stoltzfus B S, Thoma C, Vesey R A, Wakeland P E, Welch D R, Wisher M L, Woodworth J R 2015 Phys. Rev. Spec. Top. Accel. Beams. 18 110401

    [3]

    Zou W K, Wang M, Chen L, Zhou L J, Guo F, Xie W P, Deng J J 2013 High Power and Laser and Particle Beams 25 2487 (in Chinese)[邹文康, 王勐, 陈林, 周良骥, 郭帆, 谢卫平, 邓建军2013强激光与粒子束25 2487]

    [4]

    Pate R C, Patterson J C, Dowdican M C, Ramirez J J, Hasti D E, Tolk K M, Poukey J W, Schneider L X, Rosenthal S E, Sanford T W, Alexander J A, Heath C E 1987 Proceeding of 6th IEEE Pulsed Power Conference Arlington, USA, 22-26 June, 1987 p478

    [5]

    Johnson D, Bailey V, Altes R, Corcoran P, Smith I, Cordova S, Hahn K, Maenchen J, Molina I, Portillo S, Puetz E, Sceiford M, Valde D V, Rose D, Oliver B, Welch D, Droemer D 2005 Proceeding of 15h IEEE Pulsed Power Conference Monterey, USA, 13-17 June, 2005 p314

    [6]

    Allen R J, Commisso R J, Cooperstein G, Ottinger P F, Schumer J W 2011 Proceeding of 18th IEEE Pulsed Power Conference Chicago, USA, 19-23 June, 2011 p1036

    [7]

    Smith I D 2004 Phys. Rev. Spec. Top. Accel. Beams. 7 064801

    [8]

    Smith I D, Bailey V L, Fockler J, Gustwiller J S, Johnson D L, Maenchen J E, Droemer D W 2000 IEEE Trans. Plasma Sci. 28 1653

    [9]

    Thomas K, Beech P, Brown S, Buck J, Burscough J, Clough S, Crotch I, Duff Y J, Goes C, Huckle I, Jones A, King A, Stringer B, Threadgold J, Trenaman S, Wheeldon R, Woodroofe M, Carboni V, DaSilva T, Galver B, Glazebrook W, Hanzel K, Pearce J, Pham J, Pomeroy S, Saunders W, Speits D, Warren T, Whitney B, Wilson J 2011 Proceeding of 18th IEEE Pulsed Power Conference Chicago, USA, 19-23 June, 2011 p1042

    [10]

    Wei H, Sun F J, Liang T X, Yin J H, Dang T F, Zeng J T, Cong P T, Qiu A C 2014 Rev. Sci. Instrum. 85 083506

    [11]

    Wei H, Sun F J, Liang T X, Guo J M, Qiu A C, Cong P T, Yin J H, Hu Y X, Jiang X F, Wang Z G, Dang T F 2015 IEEE Trans. Plasma Sci. 43 3359

    [12]

    Mendel C W, Rosentha S E 1995 Phys. Plasmas 2 1332

    [13]

    Creedon J M 1975 J. Appl. Phys. 46 2946

    [14]

    Mendel C W 1979 J. Appl. Phys. 50 3830

    [15]

    Lawconnell R I, Neri J 1990 Phys. Fluids B 2 629

    [16]

    Ottinger P F, Schumer J W 2006 Phys. Plasmas 13 063109

    [17]

    Stygar W A, Wagoner T C, Ives H C, Corcoran P A, Cuneo M E, Douglas J W, Gilliland T L, Mazarakis M G, Ramirez J J, Seamen J F, Seidel D B, Spielman R B 2006 Phys. Rev. Spec. Top. Accel. Beams. 9 090401

    [18]

    Liu L Q, Liu D G, Wang X Q, Zou W K, Yang C 2012 Acta Phys. Sin. 61 162901 (in Chinese)[刘腊群, 刘大刚, 王学琼, 邹文康, 杨超2012物理学报61 162901]

    [19]

    Liu L Q, Liu D G, Wang X Q, Yang C, Xia M Z, Peng K 2012 Acta Phys. Sin. 61 162902 (in Chinese)[刘腊群, 刘大刚, 王学琼, 杨超, 夏蒙重, 彭凯2012物理学报61 162902]

    [20]

    Dai W, Zhu X Z, Liu LQ, Zou W K, Guo F, Liu D G 2015 Modern Electron. Tech. 38 144 (in Chinese)[戴巍, 朱旭智, 刘腊群, 邹文康, 郭帆, 刘大刚2015现代电子技术38 144]

    [21]

    Zou W K, Chen L, Liu D G, Zhang L, Liu L Q, Zhou L J, Wang M, Wei B, Guo F, Wang X Q, Dai Y M, Xie W P, Deng J J 2012 Phys. Rev. Spec. Top. Accel. Beams 15 110401

    [22]

    Johnson D L, Smith I D, Corcoran P, Bailey V, Maenchen J, Rovang D, Molina I, Hahn K, Lucero R, Kincy M, Kitterman D, Oliver B, Welch D, Rose D, Goldsack T J, Phillips M A, Sinclair M A, Thomas K J 2002 Proceeding of 14th IEEE High Power Particle Beams Conference Albuquerque, USA, 23-28 June, 2002 p123

    [23]

    Oliver B V, Genoni T C 2003 Proceeding of 14th IEEE Pulsed Power Conference Dallas, USA, June 15-18, 2003 p395

    [24]

    Bruner N, Mostrom C, Rose D V, Welch D R, Bailey V, Johnson D L, Oliver B V 2007 Proceeding of 16th IEEE Pulsed Power Conference Albuquerque, USA, June 17-22, 2007 p807

    [25]

    Qian B L, Liu Y G, Li C L, Liu C B 2000 IEEE Trans. Plasma Sci. 28 760

    [26]

    Fuks M I, Schamiloglu E 2014 Phys. Plasmas 21 053102

    [27]

    Bluhm H (translated by Jiang W H, Zhang C) 2008 Pulsed Power Systems:Principles and Application (Beijing:Tsinghua University Press) pp128-135(in Chinese)[布鲁姆H著(江伟华, 张弛译) 2008脉冲功率系统的原理与应用(北京:清华大学出版社)第128-135页]

    [28]

    Wang M Y 1978 Appl. Phys. Lett. 33 284

    [29]

    Ma X K 2000 Theory and Application of Electromagnetic Field (Xi'an:Xian Jiaotong University Press) pp206-216(in Chinese)[马西奎2000电磁场理论及应用(西安:西安交通大学出版社)第206–216页]

    [30]

    Xue D Y Chen Y Q 2011 Technology and Application of System Simulation Based on MATLAB and Simulink (Beijing:Tsinghua University Press) pp108-110(in Chinese)[薛定宇, 陈阳泉2011基于MATLAB/Simulink的系统仿真技术与应用(北京:清华大学出版社)第108-110页]

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出版历程
  • 收稿日期:  2016-06-30
  • 修回日期:  2016-11-20
  • 刊出日期:  2017-02-05

一种非轴对称磁绝缘电子鞘层边界的计算方法

    基金项目: 

    国家自然科学基金(批准号:11505138,51577156)资助的课题.

摘要: 长距离磁绝缘传输线内电极偏心、感应腔注入电流非均匀分布引起电子鞘层边界偏心等非对称磁绝缘特性.电子鞘层边界是研究非轴对称磁绝缘特性的重要参数.本文提出一种计算非轴对称磁绝缘电子鞘层边界的方法.通过引入角向非均匀分布的模数,将经典一维轴对称Creedon稳态磁绝缘理论推广应用于圆柱坐标系下二维(r,)平面.建立了感应电压叠加器次级非轴对称磁绝缘的二维Creedon物理模型,给出了非轴对称磁绝缘电子鞘层边界的数值计算方法和计算误差.当阴极角向磁场(阴极电流)角向分布满足余弦函数时,电子鞘层边界接近高斯分布.阴极电流角向不均匀程度越大,电子鞘层边界偏心程度越严重,计算误差越大.

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