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A time-dependent nonlinear theory for gyroklystron amplifier is presented. The theory includes a time-dependent description of the electromagnetic fields and a self-consistent analysis of the electrons. The generalized telegrapher equations represent the electromagnetic fields. The equations of motion of the electrons are described in the framework of the guiding-center approximation. All trajectories are calculated and used as current sources for the fields. The nonlinear theory of interaction is investigated in which mode coupling is taken into account in varying wall radius. Transverse velocity of the electrons from the gyroklystron amplifier satisfies Gaussian distribution. Distribution model of the velocity spread in the gyroklystron amplifier beam-wave interaction is established. A code for the self-consistent nonlinear beam-wave interaction is developed based on the presented theory. The electron beam-wave interaction of a Kα band gyroklystron amplifier is thoroughly studied and analyzed by the code. Numerical verification using MAGIC simulation is also given. The numerical results are in good agreement with the self-consistent nonlinear simulations.
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Keywords:
- gyroklystron amplifier /
- nonlinear theory /
- efficiency /
- velocity spread
[1] Liu P K, Xu S X 2003 J. Electron. Inform. Technol. 25 683 (in Chinese) [刘濮鲲, 徐寿喜 2003 电子与信息学报 25 683]
[2] Liu S G 1987 Theory of Relativity Electronics (Beijing: Science Press) p324 (in Chinese) [刘盛纲 1987 相对论电子学 (北京:科学出版社) 第324页]
[3] Latham P E, Lawson W, Irwin V 1994 IEEE Trans. Plasma Sci. 22 804
[4] Botton M, Antonsen Jr T M, Levush B, Nguyen K T, Vlasov A N 1998 IEEE Trans. Plasma Sci. 26 882
[5] Choi J J, McCurdy A H, Wood F N, Kyser R H, Calame J P, Nguyen K T, Danly B G, Antonsen Jr T M, Levush B, Parker R K 1998 IEEE Trans. Plasma Sci. 26 416
[6] Garven M, Calame J P, Nguyen K T, Danly B G, Levush B, Wood F N 1998 IEEE Trans. Plasma Sci. 26 882
[7] Xu S X 2004 Ph. D. Dissertation (Beijing: Institute of Electronics, Chinese Academy of Sciences) (in Chinese) [徐寿喜 2004 博士学位论文(北京:中国科学院电子学研究所)]
[8] Liang X F 2004 Ph. D. Dissertation (Beijing: Institute of Electronics, Chinese Academy of Sciences) (in Chinese) [梁显锋 2004 博士学位论文(北京:中国科学院电子学研究所)]
[9] Geng Z H 2005 Ph. D. Dissertation (Beijing: Institute of Electronics, Chinese Academy of Sciences) (in Chinese) [耿志辉 2005 博士学位论文(北京:中国科学院电子学研究所)]
[10] Liu Y H 2008 Ph. D. Dissertation (Chengdou: University of Electronic Science and Technology of China) (in Chinese) [刘迎辉 2008 博士学位论文(成都:电子科技大学)]
[11] Liu Y H, Li H F, Li H 2006 Acta Phys. Sin. 55 1718 (in Chinese) [刘迎辉, 李宏福, 李浩 2006 55 1718]
[12] Xu Y, Luo Y, Xiong C D, Li H F, Deng X, Pu Y L, Wang H, Wang J X, Yan R 2011 Acta Phys. Sin. 60 757 (in Chinese) [徐勇, 罗勇, 熊彩东, 李宏福, 邓学, 蒲友雷, 王晖, 王建勋, 鄢然 2011 60 757]
[13] Liu D W 2009 Ph. D. Dissertation (Chengdu: University of Electronic Science and Technology of China) (in Chinese) [刘頔威 2009 博士学位论文(成都:电子科技大学)]
[14] Reiter G 1959 Convention on Long Distance Transmission by Waveguide (Philadelphia: Institution of Electrical Engineers) pp54-57
[15] Neilson J M, Latham P E, Caplan A, Lawson W G 1989 IEEE Trans. Microw. Theory Tech. 37 1165
[16] Kartikeyan M V, Edith B, Manfred K A T 2004 Gyrotrons: High Power Microwave and Millimeter Wave Technology (New York: Springer) p33
[17] Gregory S N, Hai L 1992 IEEE Trans. Plasma Sci. 20 170
[18] Khanh T N, Gun S P, Jin J C, Soo Y P, Robert K P 1996 IEEE Trans. Electron Dev. 43 655
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[1] Liu P K, Xu S X 2003 J. Electron. Inform. Technol. 25 683 (in Chinese) [刘濮鲲, 徐寿喜 2003 电子与信息学报 25 683]
[2] Liu S G 1987 Theory of Relativity Electronics (Beijing: Science Press) p324 (in Chinese) [刘盛纲 1987 相对论电子学 (北京:科学出版社) 第324页]
[3] Latham P E, Lawson W, Irwin V 1994 IEEE Trans. Plasma Sci. 22 804
[4] Botton M, Antonsen Jr T M, Levush B, Nguyen K T, Vlasov A N 1998 IEEE Trans. Plasma Sci. 26 882
[5] Choi J J, McCurdy A H, Wood F N, Kyser R H, Calame J P, Nguyen K T, Danly B G, Antonsen Jr T M, Levush B, Parker R K 1998 IEEE Trans. Plasma Sci. 26 416
[6] Garven M, Calame J P, Nguyen K T, Danly B G, Levush B, Wood F N 1998 IEEE Trans. Plasma Sci. 26 882
[7] Xu S X 2004 Ph. D. Dissertation (Beijing: Institute of Electronics, Chinese Academy of Sciences) (in Chinese) [徐寿喜 2004 博士学位论文(北京:中国科学院电子学研究所)]
[8] Liang X F 2004 Ph. D. Dissertation (Beijing: Institute of Electronics, Chinese Academy of Sciences) (in Chinese) [梁显锋 2004 博士学位论文(北京:中国科学院电子学研究所)]
[9] Geng Z H 2005 Ph. D. Dissertation (Beijing: Institute of Electronics, Chinese Academy of Sciences) (in Chinese) [耿志辉 2005 博士学位论文(北京:中国科学院电子学研究所)]
[10] Liu Y H 2008 Ph. D. Dissertation (Chengdou: University of Electronic Science and Technology of China) (in Chinese) [刘迎辉 2008 博士学位论文(成都:电子科技大学)]
[11] Liu Y H, Li H F, Li H 2006 Acta Phys. Sin. 55 1718 (in Chinese) [刘迎辉, 李宏福, 李浩 2006 55 1718]
[12] Xu Y, Luo Y, Xiong C D, Li H F, Deng X, Pu Y L, Wang H, Wang J X, Yan R 2011 Acta Phys. Sin. 60 757 (in Chinese) [徐勇, 罗勇, 熊彩东, 李宏福, 邓学, 蒲友雷, 王晖, 王建勋, 鄢然 2011 60 757]
[13] Liu D W 2009 Ph. D. Dissertation (Chengdu: University of Electronic Science and Technology of China) (in Chinese) [刘頔威 2009 博士学位论文(成都:电子科技大学)]
[14] Reiter G 1959 Convention on Long Distance Transmission by Waveguide (Philadelphia: Institution of Electrical Engineers) pp54-57
[15] Neilson J M, Latham P E, Caplan A, Lawson W G 1989 IEEE Trans. Microw. Theory Tech. 37 1165
[16] Kartikeyan M V, Edith B, Manfred K A T 2004 Gyrotrons: High Power Microwave and Millimeter Wave Technology (New York: Springer) p33
[17] Gregory S N, Hai L 1992 IEEE Trans. Plasma Sci. 20 170
[18] Khanh T N, Gun S P, Jin J C, Soo Y P, Robert K P 1996 IEEE Trans. Electron Dev. 43 655
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