基于流体模型和非平衡态电子能量分布函数的高功率微波气体击穿研究

赵朋程; 廖成; 杨丹; 钟选明; 林文斌

doi:10.7498/aps.62.055101

摘要

用流体模型研究高功率微波气体击穿时, 电子能量分布函数常被假设为麦克斯韦分布形式, 此假设可能将给模拟结果带来较大的误差. 通过求解玻尔兹曼方程, 得到非平衡状态下的电子能量分布函数. 分别将上述两类分布函数引入到流体模型中, 对氩气击穿进行了数值模拟. 结果表明, 基于非平衡分布函数得到的击穿时间与粒子模拟结果符合得很好, 而当平均电子能量较低时, 麦克斯韦分布函数的高能尾部导致了较短的击穿时间. 最后, 采用非平衡分布函数计算了不同压强下的氩气击穿阈值, 发现其与实验结果基本符合.

关键词:

Abstract

The electron energy distribution function (EEDF) is usually assumed to be of the Maxwellian distribution in the fluid model in the simulation of high power microwave breakdown in gas. However, this assumption may lead to some large errors in the simulations. In this paper we compute the non-equilibrium EEDF via solving the Boltzmann equation directly, and incorporate it into the fluid model for argon breakdown. Numerical simulations show that the breakdown time obtained by the fluid model with the non-equilibrium EEDF accords well with the Particle-in-cell-Monte Carlo collision simulation result, while the Maxwellian EEDF has higher energy tail and results in faster breakdown time at low mean electron energy. Based on the non-equilibrium EEDF, the dependence of the breakdown threshold on the pressure predicted by the fluid model accord well with the argon breakdown experimental result.

Keywords:

作者及机构信息

1.
西南交通大学, 电磁场与微波技术研究所, 成都 610031

基金项目: 国家自然科学基金委员会-中国工程物理研究院联合基金 (批准号: 11076022)、教育部博士点基金 (批准号: 20110184110016) 和中央高校基本科研业务费专项资金资助的课题.

Authors and contacts

1.
Institute of Electromagnetics, Southwest Jiaotong University, Chengdu 610031, China

Funds: Project supported by the Joint Fund of the National Natural Science Foundation of China and the China Academy of Engineering Physics (Grant No. 11076022), the Doctoral Found of Ministry of Education of China (Grant No. 20110184110016), and the Fundamental Research Funds for the Central Universities.

参考文献

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[15]	Hagelaar G J M, Pitchford L C 2005 Plasma Sources Sci. Technol 14 722
[16]	Zhao P, Liao C, Lin W 2011 J. of Electromagn. Waves and Appl. 25 2365
[17]	Nam S K, Verboncoeur J P 2009 Computer Phys. Communications 180 628
[18]	Kim H C, Verboncoeur J P 2006 Phys. Plasmas 13 123506
[19]	Cook A, Shapiro M, Temkin R 2010 Appl. Phys. Lett. 97 011504

施引文献

[1]	Zhou Q H, Dong Z W, Chen J Y 2011 Acta Phys. Sin. 60 125202 (in Chinese) [周前红, 董志伟, 陈京元 2011 物理学报 60 125202]
[2]	Cai L B, Wang J G 2011 Acta Phys. Sin. 60 025217 (in Chinese) [蔡利兵, 王建国 2011 物理学报 60 025217]
[3]	Yu D, Pang X, Jin X, Zhou D, Guo Y 2011 High Power Laser and Particle Beams 23 449 (in Chinese) [余道杰, 庞学民, 金晓磊, 周东方, 郭玉华 2011 强激光与粒子束 23 449]
[4]	Zhang Z, Shao X, Zhang G, Li Y, Peng Z 2012 Acta Phys. Sin. 61 045205 (in Chinese) [张增辉, 邵先军, 张冠军, 李娅西, 彭兆裕 2012 物理学报 61 045205]
[5]	Cai L B, Wang J G, Zhu X, Wang Y, Xuan C, Xia H 2012 Acta Phys. Sin. 61 075101 (in Chinese) [蔡利兵, 王建国, 朱湘琴, 王玥, 宣春, 夏洪富 2012 物理学报 61 075101]
[6]	Wang G P, Xiang F, Tan J, Cao S H, Luo M, Kang Q, Chang A B 2011 Acta Phys. Sin. 60 072901 (in Chinese) [王淦平, 向飞, 谭杰, 曹绍云, 罗敏, 康强, 常安壁 2011 物理学报 60 072901]
[7]	Liu G Z, Liu J, Huang W, Zhou J, Song X, Ning H 2000 Chin. Phys. 9 757
[8]	Chaudhury B, Boeuf J P 2010 IEEE Trans. Plasma Sci. 38 2281
[9]	Nam S K, Verboncoeur J P 2009 Phys. Rev. Lett. 103 055004
[10]	Balcon N, Hagelaar G J M, Boeuf J P 2008 IEEE Trans. Plasma Sci. 36 2782
[11]	Yee J H, Alvarez R, Mayhall D J, Byrne D P, Degroot J 1986 Phys. Fluids 29 1238
[12]	Kim J, Kuo S P, Kossey P 1995 J. Plasma Phys. 53 253
[13]	Zhao P, Liao C, Lin W, Chang C, Fu H 2011 Phys. Plasmas 18 102111
[14]	Nam S K, Verboncoeur J P 2008 Appl. Phys. Lett. 93 151504
[15]	Hagelaar G J M, Pitchford L C 2005 Plasma Sources Sci. Technol 14 722
[16]	Zhao P, Liao C, Lin W 2011 J. of Electromagn. Waves and Appl. 25 2365
[17]	Nam S K, Verboncoeur J P 2009 Computer Phys. Communications 180 628
[18]	Kim H C, Verboncoeur J P 2006 Phys. Plasmas 13 123506
[19]	Cook A, Shapiro M, Temkin R 2010 Appl. Phys. Lett. 97 011504

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