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A novel type of slow-wave structure for Smith-Purcell device called dielectric loaded metal grating, is proposed in this article. The “hot” dispersion align of the structure is obtained by using the eigen-function method and single-mode approximation. The first-and second-order growth rate of beam-wave interaction are obtained at the synchronization point. The effects of grating groove width and depth on dispersion characteristic are analyzed, and the influences of electron beam parameters and distance between electron beam and grating surface on growth rate characteristic are also studied. The results show that dielectric-loaded metal grating can effectively weaken the structure dispersion, and that with the increases of relative dielectric permittivity, groove width and depth, the dispersion curve becomes flatter and moves toward low frequency. When the electron beam voltage or current changes, the first-order growth rate curve can only roughly describe the change trend, while the second-order growth rate can accurately show the change values. The simulation of the structure is performed by using two-dimensional particle-in-cell code MAGIC, and the simulation results accord well with the theoretical results.
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Keywords:
- dielectric loaded metal grating /
- eigen-function method /
- single-mode approximation /
- “hot” dispersion align
[1] Smith S J, Purcell E M 1953 Phys. Rev. 92 4
[2] Marshall E M, Phillips P M, Walsh J E 1988 IEEE Trans. Plasma Sci. 16 2
[3] Saviz S, Rezaei Z, Aghamir F M 2012 Chin. Phys. B 21 9
[4] Wang M H, Ren Z M, Meng X Z 2011 Chin. Phys. B 20 5
[5] Bratman V L, Dumesh B S 2002 Int. J. Infrar. Millim. Waves 23 11
[6] Bakhtyari A, Walsh J E, Brownell J H 2002 Phys. Rev. E 65 6
[7] Urata J, Goldstein M, Kimmitt M F, Naumov A, Platt C, Walsh J E 1998 Phys. Rev. Lett. 80 3
[8] Wu J Q 2004 Chin. Phys. Lett. 21 11
[9] Doucas G 2003 Int. J. Infrar. Millim. Waves 24 6
[10] Chen J W, Fu S F, Zhang D K 1984 Acta Opt. Sin. 4 7 (in Chinese) [陈建文, 傅淑芬, 张大可 1984 光学学报 4 7]
[11] Xiong P F, Wang Y T 1996 High Power Laser and Particle Beams 8 1 (in Chinese) [熊平凡, 王友棠 1996 强激光与粒子束 8 1]
[12] Lu Z G, Wei Y Y, Gong Y B 2006 J. Infrar. Millim Waves 25 5 (in Chinese) [路志刚, 魏彦玉, 宫玉彬 2006 红外与毫米波学报 25 5]
[13] Wang W X, Gong Y B 2007 Acta Phys. Sin. 56 12 (in Chinese) [王文祥, 宫玉彬, 魏彦玉 2007 56 12]
[14] Zhang K Q, Li D J 2001 Electromagnetic Theory for Microwaves and Optoelectronics (Beijing: Publishing House of Electronics Industry) p382 (in Chinese) [张克潜, 李德杰 2001 微波与光电子学中的电磁理论 (北京: 电子工业出版社) 第382页]
[15] Liu W X, Yang Z Q 2008 J. Infrar. Millim. Waves 27 2 (in Chinese) [刘文鑫, 杨梓强 2008 红外与毫米波学报 27 2]
[16] McVey B D 1994 Microwave Theory and Techniques IEEE Trans. on 42 6
[17] Joe J, Louis L J, Share J E, Booske J H 1997 Phys. Plasmas 4 12
[18] Joe J, Share J E, Booske J H 1994 Phys. Plasmas 1 1
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[1] Smith S J, Purcell E M 1953 Phys. Rev. 92 4
[2] Marshall E M, Phillips P M, Walsh J E 1988 IEEE Trans. Plasma Sci. 16 2
[3] Saviz S, Rezaei Z, Aghamir F M 2012 Chin. Phys. B 21 9
[4] Wang M H, Ren Z M, Meng X Z 2011 Chin. Phys. B 20 5
[5] Bratman V L, Dumesh B S 2002 Int. J. Infrar. Millim. Waves 23 11
[6] Bakhtyari A, Walsh J E, Brownell J H 2002 Phys. Rev. E 65 6
[7] Urata J, Goldstein M, Kimmitt M F, Naumov A, Platt C, Walsh J E 1998 Phys. Rev. Lett. 80 3
[8] Wu J Q 2004 Chin. Phys. Lett. 21 11
[9] Doucas G 2003 Int. J. Infrar. Millim. Waves 24 6
[10] Chen J W, Fu S F, Zhang D K 1984 Acta Opt. Sin. 4 7 (in Chinese) [陈建文, 傅淑芬, 张大可 1984 光学学报 4 7]
[11] Xiong P F, Wang Y T 1996 High Power Laser and Particle Beams 8 1 (in Chinese) [熊平凡, 王友棠 1996 强激光与粒子束 8 1]
[12] Lu Z G, Wei Y Y, Gong Y B 2006 J. Infrar. Millim Waves 25 5 (in Chinese) [路志刚, 魏彦玉, 宫玉彬 2006 红外与毫米波学报 25 5]
[13] Wang W X, Gong Y B 2007 Acta Phys. Sin. 56 12 (in Chinese) [王文祥, 宫玉彬, 魏彦玉 2007 56 12]
[14] Zhang K Q, Li D J 2001 Electromagnetic Theory for Microwaves and Optoelectronics (Beijing: Publishing House of Electronics Industry) p382 (in Chinese) [张克潜, 李德杰 2001 微波与光电子学中的电磁理论 (北京: 电子工业出版社) 第382页]
[15] Liu W X, Yang Z Q 2008 J. Infrar. Millim. Waves 27 2 (in Chinese) [刘文鑫, 杨梓强 2008 红外与毫米波学报 27 2]
[16] McVey B D 1994 Microwave Theory and Techniques IEEE Trans. on 42 6
[17] Joe J, Louis L J, Share J E, Booske J H 1997 Phys. Plasmas 4 12
[18] Joe J, Share J E, Booske J H 1994 Phys. Plasmas 1 1
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