Hybrid modelling of cavity system generated electromagnetic pulse in low pressure air

Zhang Han-Tian; Zhou Qian-Hong; Zhou Hai-Jing; Sun Qiang; Song Meng-Meng; Dong Ye; Yang Wei; Yao Jian-Sheng

doi:10.7498/aps.71.20211524

Abstract

The surface of metal system exposed to ionizing radiation (X-ray and γ-ray) will emit high-energy electrons through the photoelectric effect and other processes. The transient electromagnetic field generated by the high-speed electron flow is called system generated electromagnetic pulse (SGEMP), which is difficult to shield effectively. An ongoing effort has been made to investigate the SGEMP response in vacuum by numerical simulation. However, the systems are usually operated in a gaseous environment. The objective of this paper is to investigate the effect of low-pressure air on the SGEMP. A three-dimensional hybrid simulation model is developed to calculate the characteristics of the electron beam induced air plasma and its interaction with the electromagnetic field. In the hybrid model, the high-energy photoelectrons are modelled as macroparticles, and secondary electrons are treaed as fluid for a balance between efficiency and accuracy. A cylindrical cavity with an inner diameter of 100 mm and a length of 50 mm is used. The photoelectrons are emitted from one end of the cavity and are assumed to be monoenergetic (20 keV). The photoelectron pulse follows a sine-squared distribution with a peak current density of 10 A/cm², and its full width at half maximum is 2 ns. The results show that the number density of the secondary electrons near the photoelectron emission surface and its axial gradient increase as air pressure increases. The electron number density in the middle of the cavity shows a peak value at 20 Torr (1 Torr = 133 Pa). The electron temperature decreases monotonically with the increase in pressure. The low-pressure air plasma in the cavity prevents the space charge layer from being generated. The peak value of the electric field is an order of magnitude lower than that in vacuum, and the pulse width is also significantly reduced. The emission characteristic of the photoelectrons determines the peak value of the current response. The current reaching the end of the cavity surface first increases and then decreases with pressure increasing. The plasma return current can suppress the rising rate of the total current and extend the duration of current responses. Finally, to validate the established hybrid simulation model, the calculated magnetic field is compared with that from the benchmark experiments. This paper helps to achieve a better prediction of the SGEMP response in a gaseous environment. Compared with the particle-in-cell Monte Carlo collision method, the hybrid model adopted can greatly reduce the computational cost.

Keywords:

system generated electromagnetic pulse (SGEMP) /
photoelectrons /
particle-in-cell simulation /
hybrid modelling

Authors and contacts

Institute of Applied Physics and Computational Mathematics, Beijing 100094, China

Corresponding author: Zhou Qian-Hong, zhou_qianhong@qq.com

Funds: Project supported by the National Natural Science Foundation of China (Grant No. 12005023).

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References

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[15]	张含天, 周前红, 周海京, 孙强, 宋萌萌, 董烨, 杨薇, 姚建生 2021 物理学报 70 165201 Google Scholar Zhang H T, Zhou Q H, Zhou H J, Sun Q, Song M M, Dong Y, Yang W, Yao J S 2021 Acta Phys. Sin. 70 165201 Google Scholar
[16]	孙会芳, 张玲玉, 董志伟, 周海京 2019 强激光与粒子束 31 103221 Google Scholar Sun H F, Zhang L Y, Dong Z W, Zhou H J 2019 High Power Laser and Particle Beams 31 103221 Google Scholar
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[29]	Pointon T D 2008 Comput. Phys. Commun. 179 535 Google Scholar
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[35]	Sugiyama H 1981 Radiat. Eff. Defects Solids 56 205 Google Scholar
[36]	Sugiyama H 1985 Plasma Sources Sci. Technol. 30 331 Google Scholar
[37]	Gümüş H 2005 Radiat. Phys. Chem. 72 7 Google Scholar
[38]	Gümüş H 2008 Appl. Radiat. Isot. 66 1886 Google Scholar
[39]	NIST ESTAR Database 2021 https://physics.nist.gov/Phys RefData/Star/Text/ESTAR.html [2021-8-1]
[40]	Longmire C T, Longley H 1973 Improvements in the Treatment of Compton Current and Air Conductivity in EMP Problems (Report)
[41]	Farmer W A, Cohen B I, Eng C D 2016 IEEE Trans. Nucl. Sci. 63 1259 Google Scholar
[42]	Farmer W A, Friedman A 2015 IEEE Trans. Nucl. Sci. 62 1695 Google Scholar
[43]	Robinson A P L, Strozzi D J, Davies J R, Gremillet L, Honrubia J J, Johzaki T, Kingham R J, Sherlock M, Solodov A A 2014 Nucl. Fusion 54 054003 Google Scholar
[44]	Higgins D F, Longmire C L, O’Dell A A 1973 A Method for Estimating the X-Ray Produced Electromagnetic Pulse Observed in the Source Region of a High-Altitude Burst (report)
[45]	Itikawa Y 2006 J. Phys. Chem. Ref. Data 35 31 Google Scholar
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[47]	Rapp D, Englander-Golden P 1965 J. Chem. Phys. 43 1464 Google Scholar
[48]	Kim Y K, Santos J P, Parente F 2000 Phys. Rev. A:At. Mol. Opt. Phys. 62 052710 Google Scholar
[49]	Maulois M, Ribière M, Eichwald O, Yousfi M, Pouzalgues R, Garrigues A, Delbos C, Azaïs B 2016 Phys. Plasmas 23 102117 Google Scholar
[50]	Gilbert J L, Radasky W A, Savage E B 2013 IEEE Trans. Electromagn. Compat. 55 446 Google Scholar
[51]	Hagelaar G J M, Pitchford L C 2005 Plasma Sources Sci. Technol. 14 722 Google Scholar
[52]	Wu Y, Zhang H T, Luo B, Yang F, Sun H, Li T W, Tang L 2017 Plasma Chem. Plasma Process. 37 1051 Google Scholar
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Cited By

图 1 粒子-流体混合模拟流程图

Figure 1. Flow chart of the hybrid particle-fluid model.

DownLoad: Full-Size Img PowerPoint

图 2 N₂和O₂对电子的约化阻止本领(左)^[38]; 电子-N₂的电离碰撞截面(右)

Figure 2. Mass stopping power for incident electron in N₂ and O₂ (left)^[38]; ionization cross sections between electrons and N₂ (right).

DownLoad: Full-Size Img PowerPoint

图 3 次级电子平均能量

Figure 3. Mean energy of the secondary electrons.

DownLoad: Full-Size Img PowerPoint

图 4 约化swarm参数随电子能量的变化

Figure 4. Normalized swarm parameters as a function of electron energy.

DownLoad: Full-Size Img PowerPoint

图 5 计算模型

Figure 5. Schematic of the calculation domain.

DownLoad: Full-Size Img PowerPoint

图 6 光电子与次级电子的分布(0—20 Torr, 1—4 ns)

Figure 6. Distributions of photoelectrons (red dot) and secondary electrons (0–20 Torr, 1–4 ns)

DownLoad: Full-Size Img PowerPoint

图 7 真空(a)以及10 Torr压力(b)下, 轴向电场E_x随时间的变化(x = 2, 10, 40 mm; r = 0 mm)

Figure 7. Time-dependent electric field E_x (x = 2, 10, 40 mm; r = 0 mm) for (a) vacuum and (b) 10 Torr.

DownLoad: Full-Size Img PowerPoint

图 8 不同压力下, 切向磁感应强度B_φ随时间的变化(x = 48 mm; r = 48 mm)

Figure 8. Time-dependent magnetic flux density B_φ at different pressures (x = 48 mm; r = 48 mm).

DownLoad: Full-Size Img PowerPoint

图 9 截面上光电子、次级电子电流随时间的变化(10 Torr)　(a) x = 10 mm; (b) x = 40 mm

Figure 9. Time-dependent current of photoelectrons and secondary electrons (10 Torr) for the plane: (a) x = 10 mm; (b) x = 40 mm.

DownLoad: Full-Size Img PowerPoint

图 10 不同压力下, 对称轴上次级电子数密度的分布(r = 0 mm, t = 2 ns)

Figure 10. Distributions of secondary electrons along the axis at different pressures (r = 10 mm, t = 2 ns).

DownLoad: Full-Size Img PowerPoint

图 11 不同压力下, x = 24 mm处次级电子数密度的径向线积分随时间的变化

Figure 11. Line-integrated secondary electrons at x = 24 mm at different pressures.

DownLoad: Full-Size Img PowerPoint

图 12 对称轴上的次级电子温度分布(r = 0 mm)

Figure 12. Distributions of secondary electron temperature along the axis (r = 0 mm).

DownLoad: Full-Size Img PowerPoint

图 13 实验中电子束电流(左)与电子能量(右)随时间的关系

Figure 13. Electron beam current (left) and energy (right) as functions of time.

DownLoad: Full-Size Img PowerPoint

图 14 Z = 12.5 cm, r = 13.8 cm处的磁场强度(腔体内压力3 Torr)

Figure 14. Magnetic field at Z = 12.5 cm, r = 13.8 cm for an air pressure of 3 Torr

DownLoad: Full-Size Img PowerPoint

[1]	王泰春, 贺云汉, 王玉芝 2011 电磁脉冲导论 (北京: 国防工业出版社) 第130页 Wang T C, He Y H, Wang Y Z 2011 Introduction to Electromagnetic Pulse (Beijing: National Defense Industry Press) p130 (in Chinese)
[2]	美国电磁脉冲袭击对美威胁评估委员会编 (郑毅, 梁睿, 曹保锋译 2019 电磁脉冲袭击对国家重要基础设施的影响 (北京: 科学出版社)第9页 Commission to assess the threat to the United States from electromagnetic pulse (EMP) attack (translated by Zheng Y, Liang R, Cao B F) 2019 Report of the Commission to Assess the Threat to the United States from Electromagnetic Pulse (EMP) attack: Critical National Infrastructures (Beijing: Science Press) p9
[3]	Meng C, Xu Z Q, Jiang Y S, Zheng W G, Dang Z 2017 IEEE Trans. Nucl. Sci. 64 2618 Google Scholar
[4]	Genuario R D 1975 IEEE Trans. Nucl. Sci. 22 2098 Google Scholar
[5]	Swanekamp S B, Hinshelwood D, Angus J R, Richardson A S, Mosher D 2016 Direct Electron-Beam Injection Experiments for Validation of Air-Chemistry Models (Report)
[6]	Ribière M, D’Almeida T, Cessenat O, Maulois M, Pouzalgues R, Crabos B, Delbos C, Garrigues A, Azaïs B 2016 Phys. Plasmas 23 122106 Google Scholar
[7]	Woods A J, Delmer T N 1976 The arbitrary body of revolution code (ABORC) for SGEMP/IEMP (report)
[8]	Xu Z Q, Meng C, Jiang Y S, Wu P 2020 IEEE Trans. Nucl. Sci. 67 425 Google Scholar
[9]	Wang J G, Zhang D H, Liu C L, Li Y D, Wang Y, Wang H G, Qiao H L, Li X Z 2009 Phys. Plasmas 16 033108 Google Scholar
[10]	Wang J G, Chen Z G, Wang Y, Zhang D H, Liu C L, Li Y D, Wang H G, Qiao H L, Fu M Y, Yuan Y 2010 Phys. Plasmas 17 073107 Google Scholar
[11]	Wang Y, Wang J G, Chen Z G, Cheng G X, Wang P 2016 Comput. Phys. Commun. 205 1 Google Scholar
[12]	Chen J N, Wang J G, Tao Y L, Chen Z G, Wang Y, Niu S L 2019 IEEE Trans. Nucl. Sci. 66 820 Google Scholar
[13]	Chen J N, Wang J G, Chen Z G, Ren Z P 2020 IEEE Trans. Nucl. Sci. 67 818 Google Scholar
[14]	Chen J H, Chao Z, Deng J H, Li Z D 2020 IEEE Trans. Nucl. Sci. 67 2353 Google Scholar
[15]	张含天, 周前红, 周海京, 孙强, 宋萌萌, 董烨, 杨薇, 姚建生 2021 物理学报 70 165201 Google Scholar Zhang H T, Zhou Q H, Zhou H J, Sun Q, Song M M, Dong Y, Yang W, Yao J S 2021 Acta Phys. Sin. 70 165201 Google Scholar
[16]	孙会芳, 张玲玉, 董志伟, 周海京 2019 强激光与粒子束 31 103221 Google Scholar Sun H F, Zhang L Y, Dong Z W, Zhou H J 2019 High Power Laser and Particle Beams 31 103221 Google Scholar
[17]	Gilbert R M, Klebers J, Bromborsky A 1977 IEEE Trans. Nucl. Sci. 24 2389 Google Scholar
[18]	Woods A J, Hobbs W E, Wenaas E P 1981 IEEE Trans. Nucl. Sci. 28 4467 Google Scholar
[19]	Longmire C T 1975 IEEE Trans. Nucl. Sci. 22 2340 Google Scholar
[20]	Chan P C, Woods A J 1985 IEEE Trans. Nucl. Sci. 32 4441 Google Scholar
[21]	Strasburg S, Hinshelwood D D, Schumer J W, Mosher D, Ottinger P F, Fernsler R F, Slinker S P 2003 Phys. Plasmas 10 3758 Google Scholar
[22]	Pusateri E N, Morris H E, Nelson E M, Ji W 2015 J. Geophys. Res. Atmos. 120 7300 Google Scholar
[23]	Angus J R, Mosher D, Swanekamp S B, Ottinger P F, Schumer J W, Hinshelwood D D 2016 Phys. Plasmas 23 053510 Google Scholar
[24]	Ribière M, Cessenat O, D’Almeida T, De Gaufridy De Dortan F, Maulois M, Delbos C, Garrigues A, Azaïs B 2016 Phys. Plasmas 23 032105 Google Scholar
[25]	Zhang H T, Zhou Q H, Zhou H J, Sun Q, Song M M, Dong Y, Yang W, Yao J S 2021 J. Appl. Phys. 130 173303 Google Scholar
[26]	Wang J G, Cai L B, Zhu X Q, Wang Y, Xuan C 2010 Phys. Plasmas 17 063503 Google Scholar
[27]	李小泽, 王建国, 董长江, 张海 2008 物理学报 57 4613 Google Scholar Li X Z, Wang J G, Tong C J, Zhang H 2008 Acta Phys. Sin. 57 4613 Google Scholar
[28]	Birdsall C K, Langdon A B 2004 Plasma Physics via Computer Simulation (Bristol: IOP Publishing Ltd) p228
[29]	Pointon T D 2008 Comput. Phys. Commun. 179 535 Google Scholar
[30]	Wang H Y, Jiang W, Sun P, Kong L B 2014 Chin. Phys. B 23 035204 Google Scholar
[31]	Esirkepov T 2001 Comput. Phys. Commun. 135 144 Google Scholar
[32]	Greenwood A D, Cartwright K L, Luginsland J W, Baca E A 2004 J. Comput. Phys. 201 665 Google Scholar
[33]	周辉, 程引会, 李宝忠, 陈雨生 2000 计算物理 17 121 Google Scholar Zhou H, Cheng Y H, Li B Z, Chen Y S 2000 Chin. J. Comput. Phys. 17 121 Google Scholar
[34]	颜强 2017 博士学位论文 (哈尔滨: 哈尔滨工程大学) 第55页 Yan Q 2017 Ph. D. Dissertation (Harbin: Harbin Engineering University) p55 (in Chinese)
[35]	Sugiyama H 1981 Radiat. Eff. Defects Solids 56 205 Google Scholar
[36]	Sugiyama H 1985 Plasma Sources Sci. Technol. 30 331 Google Scholar
[37]	Gümüş H 2005 Radiat. Phys. Chem. 72 7 Google Scholar
[38]	Gümüş H 2008 Appl. Radiat. Isot. 66 1886 Google Scholar
[39]	NIST ESTAR Database 2021 https://physics.nist.gov/Phys RefData/Star/Text/ESTAR.html [2021-8-1]
[40]	Longmire C T, Longley H 1973 Improvements in the Treatment of Compton Current and Air Conductivity in EMP Problems (Report)
[41]	Farmer W A, Cohen B I, Eng C D 2016 IEEE Trans. Nucl. Sci. 63 1259 Google Scholar
[42]	Farmer W A, Friedman A 2015 IEEE Trans. Nucl. Sci. 62 1695 Google Scholar
[43]	Robinson A P L, Strozzi D J, Davies J R, Gremillet L, Honrubia J J, Johzaki T, Kingham R J, Sherlock M, Solodov A A 2014 Nucl. Fusion 54 054003 Google Scholar
[44]	Higgins D F, Longmire C L, O’Dell A A 1973 A Method for Estimating the X-Ray Produced Electromagnetic Pulse Observed in the Source Region of a High-Altitude Burst (report)
[45]	Itikawa Y 2006 J. Phys. Chem. Ref. Data 35 31 Google Scholar
[46]	Phelps Database www.lxcat.net/Phelps [2021-8-1]
[47]	Rapp D, Englander-Golden P 1965 J. Chem. Phys. 43 1464 Google Scholar
[48]	Kim Y K, Santos J P, Parente F 2000 Phys. Rev. A:At. Mol. Opt. Phys. 62 052710 Google Scholar
[49]	Maulois M, Ribière M, Eichwald O, Yousfi M, Pouzalgues R, Garrigues A, Delbos C, Azaïs B 2016 Phys. Plasmas 23 102117 Google Scholar
[50]	Gilbert J L, Radasky W A, Savage E B 2013 IEEE Trans. Electromagn. Compat. 55 446 Google Scholar
[51]	Hagelaar G J M, Pitchford L C 2005 Plasma Sources Sci. Technol. 14 722 Google Scholar
[52]	Wu Y, Zhang H T, Luo B, Yang F, Sun H, Li T W, Tang L 2017 Plasma Chem. Plasma Process. 37 1051 Google Scholar
[53]	Forster R A, Cox L J, Barrett R F, Booth T E, Briesmeister J F, Brown F B, Bull J S, Geisler G C, Goorley J T, Mosteller R D, Post S E, Prael R E, Selcow E C, Sood A 2004 Nucl. Instrum. Methods Phys. Res., Sect. B 213 82 Google Scholar
[54]	陈剑楠, 陶应龙, 牛胜利 2020 现代应用物理 11 010501 Chen J N, Tao Y L, Niu S L 2020 Mod. Appl. Phys. 11 010501
[55]	Pointon T D, Cartwright K L 2014 Proceedings of the 67th APS Gaseous Electronics Conference Raleigh NC, USA, November 2–7, 2014 p00051
[56]	Maulois M, Ribière M, Eichwald O, Yousfi M, Pouzalgues R, Garrigues A, Delbos C, Azaïs B 2016 J. Appl. Phys. 120 123302 Google Scholar
[57]	宋法伦, 张永辉, 向飞, 常安碧 2008 物理学报 57 1807 Google Scholar Song F L, Zhang Y H, Xiang F, Chang A B 2008 Acta Phys. Sin. 57 1807 Google Scholar

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Vol. 71, Issue 5 - 2022-03-05

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