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In magnetic field design principle of microwave discharge ion thruster, it is universally received that enlarging the magnetic mirror region can confine more electrons to acquire better energy utilization rate, while reducing the magnetic field diffusion region can prevent electrons from losing at wall to reduce the discharge loss. However, recently the integrated simulation proposes a hypothesis that electrons can also be heated in the magnetic field diffusion region when the Child-Langmuir sheath is considered as a constraint condition for electrons. Therefore, herein a magnetic field structure for the magnet array microwave discharge ion thruster is designed to verify the hypothesis, in which the magnetic field diffusion region is located near the screen grid. Then, an integrated simulation is conducted for studying the initial discharge and ion beam extraction stages of the thruster. The simulation results show that in the magnetic field diffusion region, the electron temperature is 4–8 eV when the grid system voltage is not applied, while the electron temperature is 4–12 eV when the the grid system voltage is applied. And the plasma density in the latter case has one order of magnitude higher than that in the former case. It means that electrons are obviously heated in the magnetic field diffusion region when they are confined among the Child-Langmuir sheath, the plasma sheath at antenna surface, and magnetic mirror. This electron heating mode produces more high-energy electrons outside the magnetic mirror region to generate plasma in front of the grid system, which can significantly increase the plasma density and ion beam current density. The result shows that under the conditions of 0.3 sccm (1 sccm = 1 mL/min) xenon gas flow, 1 W input microwave power, 300 V screen grid voltage and –50 V acceleration grid voltage, the ion beam current and its density are 0.47 mA and 0.60 mA/cm2 for the magnet array microwave discharge ion thruster, while the ion beam current and its density are 1.2 mA and 0.38 mA/cm2 for the 2-cm microwave discharge ion thruster. The ion beam current density increases by 57.9%. Through the integrated simulation, a new electron heating mode in the magnetic field diffusion region is proved theoretically, which provides a theoretical basis for the magnetic field structure optimization of microwave discharge ion thruster.
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Keywords:
- electron cyclotron resonance /
- ion thruster /
- electron confining /
- electron heating
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Xia X 2022 Ph. D. Dissertation (Xi’an: Northwestern Polytechnical University
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图 1 微型微波离子推力器磁场结构示意图
Figure 1. Magnetic field diagram of miniature microwave discharge ion thruster.
图 2 计算域和边界条件
Figure 2. Calculation region and boundary condition setting.
图 3 磁阵列微波离子推力器结构示意图
Figure 3. Magnetic field diagram of magnet array microwave discharge ion thruster.
图 4 放电阶段电子和离子密度分布
Figure 4. Electron and ion density distribution in discharge stage.
图 5 栅极电压$ {\varphi }_{{\mathrm{s}}{\mathrm{c}}}/{\varphi }_{{\mathrm{a}}{\mathrm{c}}} $ = 300 V/–50 V时电子和离子密度分布
Figure 5. Electron and ion density distribution at $ {\varphi }_{{\mathrm{s}}{\mathrm{c}}}/{\varphi }_{{\mathrm{a}}{\mathrm{c}}} $ = 300 V/–50 V
图 6 栅极电压$ {\varphi }_{{\mathrm{s}}{\mathrm{c}}}/{\varphi }_{{\mathrm{a}}{\mathrm{c}}} $ = 500 V/–100 V时电子和离子密度分布
Figure 6. Electron and ion density distribution at $ {\varphi }_{{\mathrm{s}}{\mathrm{c}}}/{\varphi }_{{\mathrm{a}}{\mathrm{c}}} $ = 500 V/–100 V.
图 7 电子温度分布对比
Figure 7. Comparison of electron temperature distributions.
图 8 磁场发散区的电子运动示意图
Figure 8. Electron motion diagram in magnetic field diffusion region.
图 9 栅极电压$ {\varphi }_{{\mathrm{s}}{\mathrm{c}}}/{\varphi }_{{\mathrm{a}}{\mathrm{c}}} $ = 300 V/–50 V时引出束流曲线
Figure 9. Current curve of ion beam at $ {\varphi }_{{\mathrm{s}}{\mathrm{c}}}/{\varphi }_{{\mathrm{a}}{\mathrm{c}}} $ = 300 V/–50 V.
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[1] 杨涓, 牟浩, 耿海, 吴先明 2023 推进技术 44 78
Google Scholar
Yang J, Mou H, Geng H, Wu X M 2023 J. Propuls. Tech. 44 78
Google Scholar
[2] Watanabe S, Tsuda Y, Yoshikawa M, Tanaka S, Saiki T, Nakazawa S 2017 Space Sci. Rev. 208 3
Google Scholar
[3] Koizumi H, Kawahara H, Yaginuma K, et al. 2016 Trans. JSASS Aerospace Tech. Jpn. 14 30
Google Scholar
[4] 韩罗峰, 朱康武, 黄文斌, 于学文, 张辰乙, 鲁超, 刘通, 李航, 黄静 2022 真空与低温 28 98
Google Scholar
Han L F, Zhu K W, Huang W B, Yu X W, Zhang C Y, Lu C, Liu T, Li H, Huang J 2022 Vacuum Cry. 28 98
Google Scholar
[5] 于达仁, 乔磊, 蒋文嘉, 刘辉 2020 推进技术 41 1
Google Scholar
Yu D R, Qiao L, Jiang W J, Liu H 2020 J. Propuls. Tech. 41 1
Google Scholar
[6] Tsukizaki R, Ise T, Koizumi H, Togo H, Nishiyama K, Kuninaka H 2014 J. Propul. Power 30 5
Google Scholar
[7] 夏旭, 杨涓, 金逸舟, 杭观荣, 付瑜亮, 胡展 2019 68 235202
Google Scholar
Xia X, Yang J, Jin Y Z, Hang G R, Fu Y L, Hu Z 2019 Acta Phys. Sin. 68 235202
Google Scholar
[8] Fu S H, Ding Z F, Ke Y J, Tian L C 2020 IEEE Trans. Plasma Sci. 48 3
Google Scholar
[9] Ke Y J, Sun X F, Zhao Y, Chen X K 2018 Prog. Electromagn. Res. Lett. 75 91
Google Scholar
[10] Dey I, Toyoda Y, Yamamoto N, Nakashima H 2015 Rev. Sci. Instrum. 86 1868
Google Scholar
[11] Takao Y, Koizumi H, Komurasaki K, Eriguchi K, Ono K 2014 Plasma Sources Sci. Technol. 23 064004
Google Scholar
[12] Tani Y, Yamashita Y, Tsukizaki R, Nishiyama K, Kuninaka H 2020 Acta Astronau. 176 77
Google Scholar
[13] Ataka Y, Nakagawa Y, Koizumi H, Komurasaki K 2021 Acta Astronau. 187 133
Google Scholar
[14] Xia X, Yang J, Jin Y Z, Hang G R, Fu Y L, Hu Z 2020 Vacuum 179 109517
Google Scholar
[15] Mou H, Jin Y Z, Yang J, Xia X, Fu Y L 2022 Chin. Phys. B 31 075202
Google Scholar
[16] Coral G, Tsukizaki, Nishiyama K, Kuninaka H 2018 Plasma Sources Sci. Technol. 27 095015
Google Scholar
[17] Koizumi H, Komurasaki K, Aoyama J, Yamaguchi K 2018 J. Propul. Power 34 4
Google Scholar
[18] Motoki T, Takasaki D, Koizumi H, Ataka Y, Komurasaki K, Takao Y 2022 Acta Astronau. 196 231
Google Scholar
[19] 夏旭 2022 博士学位论文(西安: 西北工业大学)
Xia X 2022 Ph. D. Dissertation (Xi’an: Northwestern Polytechnical University
[20] 付瑜亮, 杨涓, 夏旭, 孙安邦 2023 72 175204
Google Scholar
Fu Y L, Yang J, Xia X, Sun A B 2023 Acta Phys. Sin. 72 175204
Google Scholar
[21] 付瑜亮 2022 博士学位论文(西安: 西北工业大学)
Fu Y L 2022 Ph. D. Dissertation (Xi’an: Northwestern Polytechnical University
[22] Fu Y L, Yang J, Mou H, Tan R W, Xia X, Gao Z Y 2022 Comput. Phys. Commun. 278 8395
Google Scholar
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