W波段带状注扩展互作用速调管放大器的理论研究与数值模拟

曾造金; 马乔生; 胡林林; 蒋艺; 胡鹏; 雷文强; 马国武; 陈洪斌

doi:10.7498/aps.68.20190907

摘要

带状注扩展互作用速调管具有高峰值功率和高平均功率的特点, 是一种具有广泛应用前景的电真空器件. 基于电子流振荡理论, 在小信号条件下推导了纵向模式为2π模的三间隙谐振腔的电子负载电导和电子负载电纳的表达式, 分析了等离子体频率、间隙宽度和相邻间隙中心之间的距离等参数对电子负载电导和电子负载电纳的影响. 根据理论分析结果, 结合三维电磁仿真软件完成了一款工作于W波段的带状注扩展互作用速调管放大器的模拟设计. 电子注横截面尺寸为4 mm × 0.32 mm时, 在工作电压为19.5 kV, 电流为3.5 A, 输入功率为1 W, 轴向引导磁场为0.85 T的条件下, 频率94.47 GHz处得到输出功率为5773 W, 增益为37.6 dB, 电子效率为8.46%, 3 dB带宽约140 MHz.

关键词:

Abstract

The sheet beam extended interaction klystron is an important kind of millimeter-wave and sub-millimeter-wave vacuum electron device, which has extensive applications such as in high resolution radar, imaging system, satellite communication and precision guided missiles. Compared with conventional pencil beam klystron, the sheet beam extended interaction klystron, in which a thin rectangular sheet beam is used, can generate higher power by obtaining higher current and reducing space-charge-effect of electron beam. Kinematical theory and space charge wave theory are extensively used to analyze the bunching process of electrons. Kinematical theory is precise when electron beam is especially small because the influence of space charge effect is ignored, while space charge wave theory is accurate when the modulation of electron beam is small since it is based on the premise of small amplitude. Electron flow oscillatory theory is a compromise between kinematical theory and space charge wave theory, which adapts to the bigger modulation of electron beam than space charge wave theory, while it is inaccurate in the case of big bunching parameter. Based on electron flow oscillatory theory under the small signal condition, the influence of electron beam on standing wave electric field of 2π mode in a three-gap cavity is analyzed, and the expressions of beam loading conductance and beam loading susceptance in a three-gap cavity are obtained. The influences of plasma frequency, transit angle of single gap and transit angle of drift on the interaction of beam and wave in a three-gap cavity are discussed. The results show that space-charge-effect of beam is unbeneficial to the interaction between beam and wave, otherwise beam loading conductance and beam loading susceptance fluctuate with the increasing of transit angle of single gap and transit angle of drift. A W-band sheet beam extended interaction klystron is designed by theoretical analysis and 3D PIC software. The output power of 5773 W at 94.47 GHz is obtained with an efficiency of 8.46%, a gain of 37.6 dB and a 3 dB bandwith of about 140 MHz, when beam voltage is 19.5 kV, current is 3.5 A and focus magnetic field is 0.85 T. This research is important for the engineering of the W-band sheet beam extended interaction klystron amplifier.

Keywords:

W-band /
sheet beam extended interaction klystron /
electron flow oscillatory theory /
beam-wave interaction

作者及机构信息

中国工程物理研究院应用电子学研究所, 绵阳　621900

通信作者: 陈洪斌, 17721915695@163.com

基金项目: 国家重点研发计划(批准号: 2018YFC0115001)资助的课题

Authors and contacts

Institute of Applied Electronics, China Academy of Engineering Physics, Mianyang 621900, China

Corresponding author: Chen Hong-Bin, 17721915695@163.com

Funds: Project supported by the National Key Research and Development Project of China (Grant No. 2018YFC0115001)

文章全文 : translate this paragraph

参考文献

[1]	Chen S Y, Ruan C J, Yong W, Zhang C Q, Zhao D, Yang X D, Wang S Z 2014 IEEE Trans. Plasma Sci. 42 91 Google Scholar
[2]	Chang Z W, Meng L, Yin Y, Wang B, Li H L, Rauf A, Ullah S, Bi L J, Peng R B 2018 IEEE Trans. Electron Dev. 65 1179 Google Scholar
[3]	吴洋, 许州, 周霖, 李文君, 唐传祥 2012 61 224101 Google Scholar Wu Y, Xu Z, Zhou L, Li W J, Tang C X 2012 Acta Phys. Sin. 61 224101 Google Scholar
[4]	Grigor’ev A D, Muchkaev V Y 2018 J. Commun. Technol. Electron. 63 577 Google Scholar
[5]	Li R J, Ruan C J, Zhang H F, Fahad A K, Shan S Y, He Y B 2019 J. Infrared Millim. Terahertz Waves 40 5
[6]	Ma T L, Zhao D, Zhang Z C, Xiang Y D, Wang W L 2014 IEEE Trans. Plasma Sci. 47 1762
[7]	阮存军, 王树忠 2010 真空电子技术 6 12 Google Scholar Ruan C J, Wang S Z 2010 Vacuum Electronics 6 12 Google Scholar
[8]	Burtsev A A, Danilushkin A V 2014 Tech. Phys. Lett. 44 793
[9]	Pasour J, Nguyen K, Wright E, Balkcum A, Atkinson J, Cusick M, Levush B 2011 IEEE Trans. Electron Dev. 58 1792 Google Scholar
[10]	Pasour J, Wright E, Nguyen K T, Balkcum A, Wood F N, Myers R E, Levush B 2014 IEEE Trans. Electron Dev. 61 1630 Google Scholar
[11]	Shin Y M, Wang J X, Barnett L R, Luhmann N C 2011 IEEE Trans. Electron Dev. 58 251 Google Scholar
[12]	Gamzina D, Barnett L R, Ravani B, Luhmann N C 2017 IEEE Trans. Electron Dev. 64 2675 Google Scholar
[13]	Wang J X, Li X X, Rui L S, Liu Z, Liu G, Jiang W, Wu Z W, Hu Y L, Luo Y 2019 IEEE International Vacuum Electronics Conference Busan, South Korea, April 29–May 1, 2019 p324
[14]	Wilks S, Katsouleas T, Dawson J M, Chen P, Su J J 1987 IEEE Trans. Plasma Sci. 15 210 Google Scholar
[15]	刘振帮, 赵欲聪, 黄华, 金晓, 雷禄容 2015 64 108404 Google Scholar Liu Z B, Zhao Y C, Huang H, Jin X, Lei L R 2015 Acta Phys. Sin. 64 108404 Google Scholar
[16]	Zhao Y C, Li S F, Huang H, Liu Z B, Wang Z L, Dan Z Y, Li X Y, Wei Y Y, Gong Y B 2015 IEEE Trans. Plasma Sci. 43 1862 Google Scholar
[17]	范植开, 刘庆想, 刘锡三, 周传民, 胡海膺 1999 强激光与粒子束 11 633 Fan Z K, Liu Q X, Liu X S, Zhou C M, Hu H Y 1999 High Power Laser and Particle Beams 11 633
[18]	Lemke R W, Clark M C, Marder B M 1994 J. Appl. Phys. 75 5423
[19]	范植开, 刘庆想, 刘锡三, 何琥, 周传民 1999 强激光与粒子束 11 482 Fan Z K, Liu Q X, Liu X S, He H, Zhou C M 1999 High Power Laser and Particle Beams 11 482
[20]	Marcum J 1946 J. Appl. Phys. 17 4 Google Scholar
[21]	Marder B M, Clark M C, Bacon L D, Hoffman J M, Lemke R W, Coleman P D 1992 IEEE Trans. Plasma Sci. 20 312 Google Scholar
[22]	Carlsten B E, Haynes W B 1996 IEEE Trans. Plasma Sci. 24 1249 Google Scholar
[23]	范植开 1999 博士学位论文 (北京: 中国工程物理研究院) Fan Z K 1999 Ph. D. Dissertation (Beijing: China Academy of Engineering Physics) (in Chinese)
[24]	曾造金, 胡林林, 马乔生, 蒋艺, 陈洪斌 2019 68 084101 Google Scholar Zeng Z J, Hu L L, Ma Q S, Jiang Y, Chen H B 2019 Acta Phys. Sin. 68 084101 Google Scholar
[25]	Webster D L 1939 J. Appl. Phys. 10 501 Google Scholar
[26]	Webster D L 1942 J. Appl. Phys. 13 786 Google Scholar
[27]	Webster D L 1939 J. Appl. Phys. 10 864 Google Scholar
[28]	Ramot S 1939 Proceedings of the I.R.E. Washington, USA, April 28–28, 1939 p757
[29]	Ramot S 1939 Phys. Rev. 56 276 Google Scholar
[30]	贝克著 (王以德译) 1965 空间电荷波与慢电磁波 (北京: 科学出版社) 第100—150页 Beck A H (translated by Wang Y D) 1965 Space-Charge Waves and Slow Electromagnetic Waves (Beijing: Science Press) pp100–150 (in Chinese)
[31]	谢家麟, 赵永翔 1966 速调管群聚理论 (北京: 科学出版社) 第33—177页 Xie J L, Zhao Y X 1966 Bunching Theory of Klystron (Beijing: Science Press) pp33–177 (in Chinese)
[32]	哈依柯夫著 (黄高年译) 1980 速调管放大器 (北京: 国防工业出版社) 第99—105页 Eckertova L (translated by Hang G N) 1980 Клиотронные усилители (Beijing: National Defense Industry Press) pp99–105 (in Chinese)
[33]	曾造金 2014 硕士学位论文 (成都: 电子科技大学) Zeng Z J 2014 M. S. Thesis (Chengdu: University of Electronic Science and Technology of China) (in Chinese)
[34]	丁耀根 2008 大功率速调管的理论与计算模拟 (北京: 国防工业出版社) 第53—66页 Ding Y G 2008 Theory and Computer Simulation of High Power Klystron (Beijing: National Defense Industry Press) pp53–66 (in Chinese)
[35]	吴洋, 许州, 谢鸿全, 李正红, 马乔生 2015 64 084102 Google Scholar Wu Y, Xu Z, Xie H Q, Li Z H, Ma Q S 2015 Acta Phys. Sin. 64 084102 Google Scholar

施引文献

图 1 三间隙谐振腔2π模场示意图

Fig. 1. Simplified E-field of 2π mode in three-gap cavity.

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图 2 归一化电子负载电导G_eff3/G₀与β_eL的关系

Fig. 2. G_eff3/G₀ versus β_eL of three-gap cavity.

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图 3 归一化电子负载电导G_eff3/G₀与β_eL的关系

Fig. 3. G_eff3/G₀ versus β_eL of three-gap cavity.

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图 4 归一化电子负载电导G_eff3/G₀与渡越角β_ed的关系

Fig. 4. G_eff3/G₀ versus β_ed of three-gap cavity.

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图 5 归一化电子负载电纳B_eff3/G₀与β_eL的关系

Fig. 5. B_eff3/G₀ versus β_eL of three-gap cavity.

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图 6 归一化电子负载电纳B_eff3/G₀与β_eL的关系

Fig. 6. B_eff3/G₀ versus β_eL of three-gap cavity.

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图 7 归一化电子负载电纳B_eff3/G₀与渡越角β_ed的关系

Fig. 7. B_eff3/G₀ versus β_ed of three-gap cavity.

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图 8 两种理论计算的G_b/G₀与β_eL的关系

Fig. 8. G_b/G₀ versus β_eL of three-gap cavity.

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图 9 两种理论计算的B_b/G₀与β_eL的关系

Fig. 9. B_b/G₀ versus β_eL of three-gap cavity.

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图 10 带状注扩展互作用速调管高频结构仿真模型

Fig. 10. model of the sheet beam extended interaction klystron.

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图 11 归一化电子负载电导G_eff3/G₀与间隙直流渡越角β_ed和相邻间隙中心之间的直流渡越角β_eL的关系

Fig. 11. G_eff3/G₀ versus β_ed and β_eL of three-gap cavity.

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图 12 归一化缩减等离子体频率与工作电压的关系

Fig. 12. Fp versus U of three-gap cavity.

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图 13 电子负载电导与工作电压的关系

Fig. 13. G_b versus U of three-gap cavity.

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图 14 各模式E_z沿轴向的分布　(a)输入腔; (b)中间腔1; (c)中间腔2; (d)输出腔

Fig. 14. E_z versus axial distance of each mode: (a) Input cavity; (b) middle cavity 1; (c) middle cavity 2; (d) output cavity.

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图 15 各间隙中心E_z沿y轴的分布　(a)输入腔; (b)中间腔1; (c)中间腔2; (d)输出腔

Fig. 15. E_z versus y axial of each mode: (a) Input cavity; (b) middle cavity 1; (c) middle cavity 2; (d) output cavity.

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图 16 各间隙中心E_z沿x轴的分布　(a)输入腔; (b)中间腔1; (c)中间腔2; (d)输出腔

Fig. 16. E_z versus x axial of each mode: (a) Input cavity; (b) middle cavity 1; (c) middle cavity 2; (d) output cavity.

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图 17 各模式Q_t与电压U的关系　(a)输入腔; (b)中间腔1; (c)中间腔2; (d)输出腔

Fig. 17. Q_t versus U of each mode: (a) Input cavity; (b) middle cavity 1; (c) middle cavity 2; (d) output cavity.

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图 18 带状注速调管高频结构y-z剖面图及电子轨迹

Fig. 18. y-z section plane of the extended interaction cavity and particle trajectories.

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图 19 带状注速调管高频结构x-z剖面图及电子轨迹

Fig. 19. x-z section plane of the extended interaction cavity and particle trajectories.

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图 20 瞬时输入功率波形

Fig. 20. Waveform of input microwave.

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图 21 前三腔调制电流基频分量沿轴向的分布

Fig. 21. Fundamental modulated current amplitude versus axial distance.

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图 22 输出腔入口处调制电流波形

Fig. 22. Waveform of current at the entry of output cavity.

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图 23 电子能量分布随轴向距离的变化

Fig. 23. Kinetic energy distribution vs. axial distance.

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图 24 瞬时输出功率波形

Fig. 24. Instantaneous waveform of output microwave.

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图 25 输出功率频谱

Fig. 25. Spectrum of output microwave.

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图 26 输出功率和电子效率与输入微波频率的关系

Fig. 26. Output power and efficiency versus input microwave frequency.

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图 27 输出功率和电子效率与输入微波功率的关系

Fig. 27. Output power and efficiency versus input microwave power.

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表 1 W波段带状注扩展互作用速调管高频结构参数

Table 1. Structural parameters of W-band sheet beam extended interaction klystron amplifier.

谐振腔	纵向工作模式	谐振频率/GHz	固有品质因数Q₀	外观品质因数Q_ext	起始位置/mm
输入腔	2π模	94.52	562	627	0
中间腔1	2π模	94.56	555	∞	3.04
中间腔2	2π模	94.56	555	∞	6.08
输出腔	2π模	94.52	562	627	9.22

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map

[1]	Chen S Y, Ruan C J, Yong W, Zhang C Q, Zhao D, Yang X D, Wang S Z 2014 IEEE Trans. Plasma Sci. 42 91 Google Scholar
[2]	Chang Z W, Meng L, Yin Y, Wang B, Li H L, Rauf A, Ullah S, Bi L J, Peng R B 2018 IEEE Trans. Electron Dev. 65 1179 Google Scholar
[3]	吴洋, 许州, 周霖, 李文君, 唐传祥 2012 61 224101 Google Scholar Wu Y, Xu Z, Zhou L, Li W J, Tang C X 2012 Acta Phys. Sin. 61 224101 Google Scholar
[4]	Grigor’ev A D, Muchkaev V Y 2018 J. Commun. Technol. Electron. 63 577 Google Scholar
[5]	Li R J, Ruan C J, Zhang H F, Fahad A K, Shan S Y, He Y B 2019 J. Infrared Millim. Terahertz Waves 40 5
[6]	Ma T L, Zhao D, Zhang Z C, Xiang Y D, Wang W L 2014 IEEE Trans. Plasma Sci. 47 1762
[7]	阮存军, 王树忠 2010 真空电子技术 6 12 Google Scholar Ruan C J, Wang S Z 2010 Vacuum Electronics 6 12 Google Scholar
[8]	Burtsev A A, Danilushkin A V 2014 Tech. Phys. Lett. 44 793
[9]	Pasour J, Nguyen K, Wright E, Balkcum A, Atkinson J, Cusick M, Levush B 2011 IEEE Trans. Electron Dev. 58 1792 Google Scholar
[10]	Pasour J, Wright E, Nguyen K T, Balkcum A, Wood F N, Myers R E, Levush B 2014 IEEE Trans. Electron Dev. 61 1630 Google Scholar
[11]	Shin Y M, Wang J X, Barnett L R, Luhmann N C 2011 IEEE Trans. Electron Dev. 58 251 Google Scholar
[12]	Gamzina D, Barnett L R, Ravani B, Luhmann N C 2017 IEEE Trans. Electron Dev. 64 2675 Google Scholar
[13]	Wang J X, Li X X, Rui L S, Liu Z, Liu G, Jiang W, Wu Z W, Hu Y L, Luo Y 2019 IEEE International Vacuum Electronics Conference Busan, South Korea, April 29–May 1, 2019 p324
[14]	Wilks S, Katsouleas T, Dawson J M, Chen P, Su J J 1987 IEEE Trans. Plasma Sci. 15 210 Google Scholar
[15]	刘振帮, 赵欲聪, 黄华, 金晓, 雷禄容 2015 64 108404 Google Scholar Liu Z B, Zhao Y C, Huang H, Jin X, Lei L R 2015 Acta Phys. Sin. 64 108404 Google Scholar
[16]	Zhao Y C, Li S F, Huang H, Liu Z B, Wang Z L, Dan Z Y, Li X Y, Wei Y Y, Gong Y B 2015 IEEE Trans. Plasma Sci. 43 1862 Google Scholar
[17]	范植开, 刘庆想, 刘锡三, 周传民, 胡海膺 1999 强激光与粒子束 11 633 Fan Z K, Liu Q X, Liu X S, Zhou C M, Hu H Y 1999 High Power Laser and Particle Beams 11 633
[18]	Lemke R W, Clark M C, Marder B M 1994 J. Appl. Phys. 75 5423
[19]	范植开, 刘庆想, 刘锡三, 何琥, 周传民 1999 强激光与粒子束 11 482 Fan Z K, Liu Q X, Liu X S, He H, Zhou C M 1999 High Power Laser and Particle Beams 11 482
[20]	Marcum J 1946 J. Appl. Phys. 17 4 Google Scholar
[21]	Marder B M, Clark M C, Bacon L D, Hoffman J M, Lemke R W, Coleman P D 1992 IEEE Trans. Plasma Sci. 20 312 Google Scholar
[22]	Carlsten B E, Haynes W B 1996 IEEE Trans. Plasma Sci. 24 1249 Google Scholar
[23]	范植开 1999 博士学位论文 (北京: 中国工程物理研究院) Fan Z K 1999 Ph. D. Dissertation (Beijing: China Academy of Engineering Physics) (in Chinese)
[24]	曾造金, 胡林林, 马乔生, 蒋艺, 陈洪斌 2019 68 084101 Google Scholar Zeng Z J, Hu L L, Ma Q S, Jiang Y, Chen H B 2019 Acta Phys. Sin. 68 084101 Google Scholar
[25]	Webster D L 1939 J. Appl. Phys. 10 501 Google Scholar
[26]	Webster D L 1942 J. Appl. Phys. 13 786 Google Scholar
[27]	Webster D L 1939 J. Appl. Phys. 10 864 Google Scholar
[28]	Ramot S 1939 Proceedings of the I.R.E. Washington, USA, April 28–28, 1939 p757
[29]	Ramot S 1939 Phys. Rev. 56 276 Google Scholar
[30]	贝克著 (王以德译) 1965 空间电荷波与慢电磁波 (北京: 科学出版社) 第100—150页 Beck A H (translated by Wang Y D) 1965 Space-Charge Waves and Slow Electromagnetic Waves (Beijing: Science Press) pp100–150 (in Chinese)
[31]	谢家麟, 赵永翔 1966 速调管群聚理论 (北京: 科学出版社) 第33—177页 Xie J L, Zhao Y X 1966 Bunching Theory of Klystron (Beijing: Science Press) pp33–177 (in Chinese)
[32]	哈依柯夫著 (黄高年译) 1980 速调管放大器 (北京: 国防工业出版社) 第99—105页 Eckertova L (translated by Hang G N) 1980 Клиотронные усилители (Beijing: National Defense Industry Press) pp99–105 (in Chinese)
[33]	曾造金 2014 硕士学位论文 (成都: 电子科技大学) Zeng Z J 2014 M. S. Thesis (Chengdu: University of Electronic Science and Technology of China) (in Chinese)
[34]	丁耀根 2008 大功率速调管的理论与计算模拟 (北京: 国防工业出版社) 第53—66页 Ding Y G 2008 Theory and Computer Simulation of High Power Klystron (Beijing: National Defense Industry Press) pp53–66 (in Chinese)
[35]	吴洋, 许州, 谢鸿全, 李正红, 马乔生 2015 64 084102 Google Scholar Wu Y, Xu Z, Xie H Q, Li Z H, Ma Q S 2015 Acta Phys. Sin. 64 084102 Google Scholar

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