Global model of miniature electron cyclotron resonance ion source

Wu Wen-Bin; Peng Shi-Xiang; Zhang Ai-Lin; Zhou Hai-Jing; Ma Teng-Hao; Jiang Yao-Xiang; Li Kai; Cui Bu-Jian; Guo Zhi-Yu; Chen Jia-Er

doi:10.7498/aps.71.20212250

Abstract

Miniature electron cyclotron resonance (ECR) ion sources are widely used in compact ion implanters, miniature neutron tubes, and miniature ion thrusters. To understand the mechanism of miniature ECR ion source, a miniature deuterium ion source developed by Peking University is taken as the research object. In this work, a global model based on particle balance equations is developed for studying the hydrogen plasma and the deuterium plasma inside the miniature ECR source. The research results show that both the hydrogen discharge process and the deuterium discharge process of the ion source are strongly dependent on the gas pressure and microwave power. The calculated results show that high power is beneficial to increasing the proportion of H⁺(D⁺) ions, low pressure is helpful in augmenting the ratio of $ {\text{H}}_2^ + $($ {\text{D}}_2^ + $) ions, high pressure and low power are beneficial to enhancing the proportion of $ {\text{H}}_3^ + $($ {\text{D}}_3^ + $) ions. In addition, there is a large difference in ion proportion between hydrogen discharge and deuterium discharge. Under the same operating parameters, the proportion of D⁺ ions is 10%–25% higher than the proportion of H⁺ ions since the plasma density of deuterium discharge is higher than that of hydrogen plasma. Therefore, during the operation of miniature source, H₂ gas, instead of D₂ gas, can be used in experiment, and the proportion of D⁺ ions under the corresponding operating parameters can be estimated based on the proportion of H⁺ ions. Finally, the calculated results show that high microwave power is a prerequisite for achieving the high proportion of H⁺ (D⁺) ions. However, owing to the limitation of microwave coupling efficiency, the miniature ECR ion source cannot work when the microwave power is greater than 150 W, so that the H⁺ (D⁺) proportion cannot be further increased, thereby limiting its further applications in neutron sources, implanters, etc. Therefore, how to improve the microwave coupling efficiency has become one of the key research contents of the miniature ECR ion source. The global model proposed in this paper is helpful in understanding the physical process of the miniature ECR ion source, but there are also some shortcomings. Firstly, the effect of the secondary electron emission coefficient is not considered in the model, so it is impossible to study the influence of wall materials on ion proportion in detail. Secondly, the dissociation degree depends on the plasma measurements, and the error of plasma measurements in turn affect the accuracy of the model to a certain extent. In addition, only the hydrogen plasma model and deuterium plasma model are established in this work, based on which it is impossible to study the processes of other gas discharge plasmas. In the future, the above factors will be considered and the model will be further improved to establish a complete and self-consistent global model of the miniature ECR ion source.

Keywords:

electron cyclotron resonance ion source /
plasma simulation /
ion fraction /
neutron source

Authors and contacts

1.
Institute of Applied Physics and Computational Mathematics, Beijing 100094, China
2.
State Key Laboratory of Nuclear Physics and Technology, School of Physics, Peking University, Beijing 100871, China
3.
Department of Modern Physics, University of Science and Technology of China, Hefei 230026, China

Corresponding author: Peng Shi-Xiang, sxpeng@pku.edu.cn

Funds: Project supported by the Special Funds of the National Natural Science Foundation of China (Grant No. 12147144), the National Natural Science Foundation of China (Grant Nos. 11775007, 11975036), and the China Postdoctoral Science Foundation (Grant No. 2021M700506).

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References

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[36]	Wu W B, Ren H T, Peng S X, Xu Y, Wen J M, Sun J, Zhang A L, Zhang T, Zhang J F, Chen J E 2017 Chin. Phys. B 26 095204 Google Scholar
[37]	Koga M, Yonesu A, Kawai Y 2003 Surf. Coat. Tech. 171 216 Google Scholar
[38]	Reuben B G, Friedman L 1962 J. Chem. Phys. 37 1636 Google Scholar
[39]	Dandl R A, Guest G E 1991 J. Vac. Sci. Technol. A 9 3119 Google Scholar
[40]	Fu S L, Chen J F, Hu S J, Wu X Q, Lee Y, Fan S L 2006 Plasma Sources Sci. Technol. 15 187 Google Scholar
[41]	Yoshida Y 1992 Appl. Phys. Lett. 61 1733 Google Scholar
[42]	Zhang M, Peng S X, Ren H T, Song Z Z, Yuan Z X, Zhou Q F, Lu P N, Xu R, Zhao J, Yu J X, Chen J E, Guo Z Y, Lu Y R 2010 Rev. Sci. Instrum. 81 02B715 Google Scholar
[43]	Wu W B, Peng S X, Ren H T, Xu Y, Wen J M, Zhang A L, Zhang T, Zhang J F, Sun J, Guo Z Y, Chen J E 2018 AIP Conf. Proc. 2011 020004 Google Scholar
[44]	Wu Y 2009 Ph. D. Dissertation (Berkeley: UC Berkeley)
[45]	Wu W B, Zhang A L, Peng S X, Ma T H, Jiang Y X, Li K, Zhang J F, Zhang T, Wen J M, Xu Y, Guo Z Y, Chen J E 2020 Vacuum 182 109744 Google Scholar
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Cited By

图 1 北京大学微型ECR离子源结构示意图

Figure 1. Schematic diagram of the miniaturized ECR ion source at Peking University.

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图 2 离子源内氢等离子体主要碰撞过程的速率系数^[27]

Figure 2. Rate coefficients of the main processes of hydrogen plasma inside the ion source^[27].

DownLoad: Full-Size Img PowerPoint

图 3 中性气体密度与电子温度关系曲线

Figure 3. Equilibrium relationships between the neutral gas density and the electron temperature.

DownLoad: Full-Size Img PowerPoint

图 4 电子温度与运行气压和微波功率的关系

Figure 4. Electron temperature as functions of gas pressure and microwave power.

DownLoad: Full-Size Img PowerPoint

图 5 电子密度与运行气压和微波功率的关系　(a) 氢气放电等离子体; (b) 氘气放电等离子体

Figure 5. Electron density as functions of gas pressure and microwave power: (a) H₂ plasma; (b) D₂ plasma.

DownLoad: Full-Size Img PowerPoint

图 6 解离度与运行气压和微波功率的关系　(a) 氢气放电等离子体; (b) 氘气放电等离子体

Figure 6. Dissociation degree as functions of gas pressure and microwave power: (a) H₂ plasma; (b) D₂ plasma.

DownLoad: Full-Size Img PowerPoint

图 7 不同运行气压下, H⁺, $ {\text{H}}_2^ + $, $ {\text{H}}_3^ +$比例

Figure 7. H⁺, $ {\text{H}}_2^ + $, $ {\text{H}}_3^ + $ ion fractions for different gas pressure.

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图 8 离子比随运行气压和微波功率的变化曲线　(a) H⁺; (b) $ {\text{H}}_2^ + $; (c) $ {\text{H}}_3^ + $

Figure 8. Ion fractions as functions of gas pressure and microwave power: (a) H⁺; (b) $ {\text{H}}_2^ + $; (c) $ {\text{H}}_3^ + $.

DownLoad: Full-Size Img PowerPoint

图 9 微型ECR离子源工作状态区与H⁺, $ {\text{H}}_2^ + $, $ {\text{H}}_3^ + $离子占优区

Figure 9. Operating state region of the miniaturized ECR ion source and H⁺, $ {\text{H}}_2^ + $, $ {\text{H}}_3^ + $ ion dominant region.

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图 10 不同运行气压和微波功率条件下, 氘气和氢气放电的离子比对照　(a) D⁺; (b) $ {\text{D}}_2^ + $; (c) $ {\text{D}}_3^ + $; (d) H⁺; (e) $ {\text{H}}_2^ + $; (f) $ {\text{H}}_3^ + $

Figure 10. Comparison of ion fractions for D₂ and H₂ plasma at different gas pressure and microwave power: (a) D⁺; (b) $ {\text{D}}_2^ + $; (c) $ {\text{D}}_3^ + $; (d) H⁺; (e) $ {\text{H}}_2^ + $; (f) $ {\text{H}}_3^ + $.

DownLoad: Full-Size Img PowerPoint

图 11 不同运行气压和微波功率条件下, 氘气放电和氢气放电的离子比差值　(a) Δ [D⁺–H⁺]; (b) Δ [$ {\text{D}}_2^ + $–$ {\text{H}}_2^ + $]; (c) Δ [$ {\text{D}}_3^ + $–$ {\text{H}}_3^ + $]

Figure 11. The difference of ion fraction between D₂ plasma and H₂ plasma at different gas pressure and microwave power: (a) Δ [D⁺–H⁺]; (b) Δ [$ {\text{D}}_2^ + $–$ {\text{H}}_2^ + $]; (c) Δ [$ {\text{D}}_3^ + $–$ {\text{H}}_3^ + $].

DownLoad: Full-Size Img PowerPoint

[1]	Gammino S, Celona L, Ciavola G, Maimone F, Mascali D 2010 Rev. Sci. Instrum. 81 02B313 Google Scholar
[2]	丁俊章, 赵玉彬, 刘占稳, 赵红卫, 袁平, 曹云, 雷海亮, 张子民, 张雪珍, 张汶, 郭晓虹, 王辉, 冯玉成, 李锦玉, 马保华, 高级元, 宋沛, 李锡霞 2001 核技术 24 43 Google Scholar Ding J Z, Zhao Y B, Liu Z W, Zhao H W, Yuan P, Cao Y, Lei H L, Zhang Z M, Zhang X Z, Zhang W, Guo X H, Wang H, Feng Y C, Li J Y, Ma B H, Gao J Y, Song P, Li X X 2001 Nucl. Tech. 24 43 Google Scholar
[3]	Alonso J R, Calabretta L, Campo D, Celona L, Conrad J, Martinez R G, Johnson R, Labrecque F, Toups M H, Winklehner D, Winslow L 2014 Rev. Sci. Instrum. 85 02A742 Google Scholar
[4]	崔保群, 李立强, 包轶文, 蒋渭生, 王荣文 2002 原子能科学技术 36 486 Google Scholar Cui B Q, Li L Q, Bao Y W, Jiang W S, Wang R W 2002 Atomic Energy Science and Technology 36 486 Google Scholar
[5]	Harrison S E, Voss L F, Torres A M, Frye C D, Shao Q, Nikolić R J 2017 J. Vat. Sci. Technol. A 35 061303 Google Scholar
[6]	More S E, Dave J R, Makar P K, Bhoraskar S V, Premkumar S, Tomar G B, Mathe V L 2020 Appl. Surf. Sci. 506 144665 Google Scholar
[7]	Kim W J, Ryu J, Im J, Kim S H, Kang S Y, Lee J H, Jo S H, Ha B K 2018 Mol. Genet. Genomics. 293 1169 Google Scholar
[8]	李波, 刘华昌, 王云, 吴小磊, 李阿红, 瞿培华, 陈强, 樊梦旭, 巩克云, 欧阳华甫, 吴丛凤 2019 原子能科学技术 53 1656 Google Scholar Li B, Liu H C, Wang Y, Wu X L, Li A H, Qu P H, Chen Q, Fan M X, Gong K Y, Ouyang H F, Wu C F 2019 Atomic Energy Science and Technology 53 1656 Google Scholar
[9]	Jiang Y X, Peng S X, Wu W B, Ma T H, Zhang J F, Ren H T, Zhang T, Wen J M, Xu Y, Zhang A L, Sun J, Guo Z Y, Chen J E 2020 Rev. Sci. Instrum. 91 033319 Google Scholar
[10]	Vainionpaa J H, Harris J L, Piestrup M A, Gary C K, Williams D L, Apodaca M D, Cremer J T, Ji Q, Ludewigt B A, Jones G 2013 AIP Conf. Proc. 1525 118 Google Scholar
[11]	Fu S, Ding Z, Ke Y, Tian L 2020 IEEE T. Plasma. Sci. 48 676 Google Scholar
[12]	Wen J M, Peng S X, Ren H T, Zhang T, Zhang J F, Wu W B, Sun J, Guo Z Y, Chen J E 2018 Chin. Phys. B 27 055204 Google Scholar
[13]	Bogomolov S L, Bondarchenko A E, Efremov A A, Kostyukhov Y E, Kuzmenkov K I, Loginov V N, Pugachev D K, Fatkullin R D 2019 J. Instrum. 14 C01009 Google Scholar
[14]	Ke Y J, Sun X F, Chen X K, Tian L C, Zhang T P, Zheng F M, Jia Y H, Jiang H C 2017 Plasma Sci. Technol. 19 095503 Google Scholar
[15]	Yamamoto N, Chikaoka T, Masui H, Nakashima H, Takao Y, Kondo S 2006 In 42nd AIAA/ASME/SAE/ASEE Joint Propulsion Conference & Exhibit California, America, July 9–12, 2006 p5177
[16]	Torii Y, Shimada M, Watanabe I 1992 Rev. Sci. Instrum. 63 2559 Google Scholar
[17]	Ji Q 2011 AIP Conf. Proc. 1336 528 Google Scholar
[18]	Baumgarten C, Barchetti A, Einenkel H, Goetz D, Schmelzbach P A 2011 Rev. Sci. Instrum. 82 053304 Google Scholar
[19]	Fatkullin R, Bogomolov S, Kuzmenkov K, Efremov A 2018 EPJ Web of Conf. 177 08003 Google Scholar
[20]	Chan C F, Burrell C F, Cooper W S 1983 J. Appl. Phys. 54 6119 Google Scholar
[21]	Samuell C M, Corr C S 2016 Plasma Sources Sci. Technol. 25 015014 Google Scholar
[22]	Zorat R, Goss J, Boilson D, Vender D 2000 Plasma Sources Sci. Technol. 9 161 Google Scholar
[23]	Hollmann E M, Pigarov A Y 2002 Phys. Plasmas 9 4330 Google Scholar
[24]	Ke J L, Liu Y G, Liu B L, Hu Y H, Liu M, Tang J, Zheng P, Li Y, Wu C L, Lou B C 2020 Instrum. Exp. Tech. 63 616 Google Scholar
[25]	Svarnas P, Bacal M, Auvray P, Béchu S, Pelletier J 2006 Rev. Sci. Instrum. 77 03A512 Google Scholar
[26]	Eguchi T, Sasao M, Shimabukuro Y, Ikemoto F, Kisaki M, Nakano H, Tsumori K, Wada M 2020 Rev. Sci. Instrum. 91 013508 Google Scholar
[27]	Janev R K, Langer W D Jr, Evans K, Post D E 1987 Elementary Processes in Hydrogen-Helium Plasmas: Cross Sections and Reaction Rate Coefficients (Springer-Verlag Berlin Heidelberg) p1868
[28]	Huh S R, Kim N K, Jung B K, Chung K J, Hwang Y S, Kim G H 2015 Phys. Plasmas 22 033506 Google Scholar
[29]	McNeely P, Dudin S V, Christ-Koch S, Fantz U, the NNBI Team 2009 Plasma Sources Sci. Technol. 18 014011 Google Scholar
[30]	Godyak V A, Piejak R B, Alexandrovich B M 2002 Plasma Sources Sci. Technol. 11 525 Google Scholar
[31]	Singh S B, Chand N, Pati D S 2009 Vacuum 83 372 Google Scholar
[32]	Kimura T, Kasugai H 2010 J. Appl. Phys. 107 083308 Google Scholar
[33]	Hjartarson A T, Thorsteinsson E G, Gudmundsson J T 2010 Plasma Sources Sci. Technol. 19 065008 Google Scholar
[34]	Fantz U 2006 Plasma Sources Sci. Technol. 15 S137 Google Scholar
[35]	Mazzaglia M, Castro G, Mascali D, Celona L, Neri L, Torrisi G, Gammino S, Reitano R, Naselli E 2019 Phys. Rev. Accel. Beams 22 053401 Google Scholar
[36]	Wu W B, Ren H T, Peng S X, Xu Y, Wen J M, Sun J, Zhang A L, Zhang T, Zhang J F, Chen J E 2017 Chin. Phys. B 26 095204 Google Scholar
[37]	Koga M, Yonesu A, Kawai Y 2003 Surf. Coat. Tech. 171 216 Google Scholar
[38]	Reuben B G, Friedman L 1962 J. Chem. Phys. 37 1636 Google Scholar
[39]	Dandl R A, Guest G E 1991 J. Vac. Sci. Technol. A 9 3119 Google Scholar
[40]	Fu S L, Chen J F, Hu S J, Wu X Q, Lee Y, Fan S L 2006 Plasma Sources Sci. Technol. 15 187 Google Scholar
[41]	Yoshida Y 1992 Appl. Phys. Lett. 61 1733 Google Scholar
[42]	Zhang M, Peng S X, Ren H T, Song Z Z, Yuan Z X, Zhou Q F, Lu P N, Xu R, Zhao J, Yu J X, Chen J E, Guo Z Y, Lu Y R 2010 Rev. Sci. Instrum. 81 02B715 Google Scholar
[43]	Wu W B, Peng S X, Ren H T, Xu Y, Wen J M, Zhang A L, Zhang T, Zhang J F, Sun J, Guo Z Y, Chen J E 2018 AIP Conf. Proc. 2011 020004 Google Scholar
[44]	Wu Y 2009 Ph. D. Dissertation (Berkeley: UC Berkeley)
[45]	Wu W B, Zhang A L, Peng S X, Ma T H, Jiang Y X, Li K, Zhang J F, Zhang T, Wen J M, Xu Y, Guo Z Y, Chen J E 2020 Vacuum 182 109744 Google Scholar
[46]	Fantz U, Falter H, Franzen P, Wünderlich D, Berger M, Lorenz A, Kraus W, McNeely P, Riedl R, Speth E 2006 Nucl. Fusion 46 S297 Google Scholar
[47]	Child C D 1911 Phys. Rev. 32 492 Google Scholar
[48]	Langmuir I 1913 Phys. Rev. 2 450 Google Scholar
[49]	Xu Y, Peng S X, Ren H T, Zhang A L, Zhang T, Xu Y, Zhang J F, Wen J M, Wu W B, Guo Z Y, Chen J E 2017 Chin. Phys. B 26 085203 Google Scholar
[50]	Miracoli R, Celona L, Castro G, Mascali D, Gammino S, Lanaia D, Giugno R Di, Serafno T, Ciavola G 2012 Rev. Sci. Instrum. 83 02A305 Google Scholar

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[11]	Tang Ming-Jie, Yang Juan, Jin Yi-Zhou, Luo Li-Tao, Feng Bing-Bing. Experimental optimization in ion source configuration of a miniature electron cyclotron resonance ion thruster. Acta Physica Sinica, 2015, 64(21): 215202. doi: 10.7498/aps.64.215202
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[13]	Chen Mao-Lin, Xia Guang-Qing, Mao Gen-Wang. Three-dimensional particle in cell simulation of multi-mode ion thruster optics system. Acta Physica Sinica, 2014, 63(18): 182901. doi: 10.7498/aps.63.182901
[14]	Yang Chao, Liu Da-Gang, Liu La-Qun, Xia Meng-Zhong, Wang Hui-Hui, Wang Xiao-Ming. 3D simulation of the electron energy distribution in negative hydrogen ion source. Acta Physica Sinica, 2012, 61(15): 155205. doi: 10.7498/aps.61.155205
[15]	Xia Guang-Qing, Xue Wei-Hua, Chen Mao-Lin, Zhu Yu, Zhu Guo-Qiang. Numerical simulation study on characteristic parameters of microcavity discharge in argon. Acta Physica Sinica, 2011, 60(1): 015201. doi: 10.7498/aps.60.015201
[16]	Yang Juan, Shi Feng, Yang Tie-Lian, Meng Zhi-Qiang. Numerical simulation on the plasma field within discharge chamber of electron cyclotron resonance ion thruster. Acta Physica Sinica, 2010, 59(12): 8701-8706. doi: 10.7498/aps.59.8701
[17]	Yang Yan-Nan, Yang Bo, Zhu Jin-Rong, Shen Zhong-Hua, Lu Jian, Ni Xiao-Wu. Mechanism and numerical simulation of laser-target impulse coupling in vacuum. Acta Physica Sinica, 2007, 56(10): 5945-5951. doi: 10.7498/aps.56.5945
[18]	Yang Juan, Su Wei-Yi, Mao Gen-Wang, Xia Guang-Qing. Numerical simulation of the internal flow in microwave plasma thruster in magnetic field. Acta Physica Sinica, 2006, 55(12): 6494-6499. doi: 10.7498/aps.55.6494
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Vol. 71, Issue 14 - 2022-07-20

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