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A three-dimensional model for the interaction between a sheet electron beam and the slow-wave structure of dielectric-loaded rectangular Cerenkov maser is proposed. Based on this model, the hybrid-mode dispersion equation and its analytical solution are derived by using the field-match method and the Borgnis function method. Through numerical calculations, the effects of dielectric layer thickness, beam voltage, current density, bean thickness and beam-dielectric layer gap on the linear growth rate are analyzed.
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Keywords:
- Cerenkov maser /
- Borgnis function method /
- field-match method /
- dispersion equation
[1] Zhao D, Ding Y, Wang Y, Ruan C 2010 Physics of Plasmas 17 113110
[2] He J, Wei Y Y, Gong Y B, Duan Z Y, Wang W X 2010 Acta Phys. Sin. 59 2843 (in Chinese) [何俊, 魏彦玉, 宫玉彬, 段兆云, 王文祥 2010 59 2843]
[3] Li Y B, Zhu D J, Liu S G 2008 Journal of University of Electronic Science and Technology of China 37 730 (in Chinese) [李悦宝, 祝大军, 刘盛纲 2008 电子科技大学学报 37 730]
[4] Shu W, Wang Y, Zhao D 2011 High Power Laser and Particle Beams 23 1574 (in Chinese) [舒雯, 王勇, 赵鼎 2011 强激光与粒子束 23 1574]
[5] Dai L 2009 Ph.D Thesis (University of Electronic Science and Technology of China) (in Chinese) [代磊 2009 博士学位论文, (电子科技大学)]
[6] Shlapakovskii I A S, Chixko K A 1994 IEEE Trans. Plasma. Sd. 22 544
[7] Walsh J E, Shaughnessy C H, Layman R, Dattoli G, Gallerano G P, Renieri A 1988 Nucl. Instr. and Meth. A 272 132
[8] Garate E, Kosai H, Evans K, Fisher A, Cherry R, Main W 1990 Appl. Phys. Lett. 56 1092
[9] Kosai H, Garate E, Fisher A, Main W 1992 IEEE Trans on Plasma Science 20 288
[10] Carlsten B E 2002 Physics of Plasmas 9 1790
[11] Zhang K Q, Li D J 2001 Electromagnetic Theory for Microwaves and Optoelectronics (1st ed) (Beijing: Electronics Industry Press) (in Chinese) [张克潜, 李德杰 2001 微波与光电子学中的电磁理论(第六章)(北京: 电子工业出版社) 第309页]
[12] Lawson J D 1988 The Physics of Charged Particles (Chap.6) (Oxford, UK Clarendon) p293
[13] Zhang K Q, Li D J 2001 Electromagnetic Theory for Microwaves and Optoelectronics (1st ed) (Beijing: Electronics Industry Press) (in Chinese) [张克潜, 李德杰 2001 微波与光电子学中的电磁理论(第六章)(北京: 电子工业出版社) 第182页]
[14] David M P 2006 Microwave Engineering (3rd ed) (Beijing: Publishing House of Electronics Industry) p98 [David M P著, 张肇仪, 周乐柱, 吴德明 译 2006 微波工程基础(第三版) (北京:电子工业出版社) 第98页]
[15] Huang H C 1984 Coupled Mode Theory (VNU Science Press BV)
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[1] Zhao D, Ding Y, Wang Y, Ruan C 2010 Physics of Plasmas 17 113110
[2] He J, Wei Y Y, Gong Y B, Duan Z Y, Wang W X 2010 Acta Phys. Sin. 59 2843 (in Chinese) [何俊, 魏彦玉, 宫玉彬, 段兆云, 王文祥 2010 59 2843]
[3] Li Y B, Zhu D J, Liu S G 2008 Journal of University of Electronic Science and Technology of China 37 730 (in Chinese) [李悦宝, 祝大军, 刘盛纲 2008 电子科技大学学报 37 730]
[4] Shu W, Wang Y, Zhao D 2011 High Power Laser and Particle Beams 23 1574 (in Chinese) [舒雯, 王勇, 赵鼎 2011 强激光与粒子束 23 1574]
[5] Dai L 2009 Ph.D Thesis (University of Electronic Science and Technology of China) (in Chinese) [代磊 2009 博士学位论文, (电子科技大学)]
[6] Shlapakovskii I A S, Chixko K A 1994 IEEE Trans. Plasma. Sd. 22 544
[7] Walsh J E, Shaughnessy C H, Layman R, Dattoli G, Gallerano G P, Renieri A 1988 Nucl. Instr. and Meth. A 272 132
[8] Garate E, Kosai H, Evans K, Fisher A, Cherry R, Main W 1990 Appl. Phys. Lett. 56 1092
[9] Kosai H, Garate E, Fisher A, Main W 1992 IEEE Trans on Plasma Science 20 288
[10] Carlsten B E 2002 Physics of Plasmas 9 1790
[11] Zhang K Q, Li D J 2001 Electromagnetic Theory for Microwaves and Optoelectronics (1st ed) (Beijing: Electronics Industry Press) (in Chinese) [张克潜, 李德杰 2001 微波与光电子学中的电磁理论(第六章)(北京: 电子工业出版社) 第309页]
[12] Lawson J D 1988 The Physics of Charged Particles (Chap.6) (Oxford, UK Clarendon) p293
[13] Zhang K Q, Li D J 2001 Electromagnetic Theory for Microwaves and Optoelectronics (1st ed) (Beijing: Electronics Industry Press) (in Chinese) [张克潜, 李德杰 2001 微波与光电子学中的电磁理论(第六章)(北京: 电子工业出版社) 第182页]
[14] David M P 2006 Microwave Engineering (3rd ed) (Beijing: Publishing House of Electronics Industry) p98 [David M P著, 张肇仪, 周乐柱, 吴德明 译 2006 微波工程基础(第三版) (北京:电子工业出版社) 第98页]
[15] Huang H C 1984 Coupled Mode Theory (VNU Science Press BV)
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