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The effective radius of photonic-band-gap cavity (PBGC) is defined, the validity of using it to treat PBGC as a mode selective cylindrical metal cavity is demonstrated, the guiding role of it in the design of PBGC is revealed, and a self-consistent nonlinear theory is established for gyrotron oscillator with PBGC (PBG gyrotron) based on it. The results of theoretical analysis and numerical calculation show that the azimuthal polarized form (traveling wave or standing wave) of RF field has an obvious effect on the beam-wave interacting process and the device operating at second harmonic can achieve higher electron efficiency than that working at fundamental wave under TE-32 mode, which means PBG gyrotron is capable of operating at both high order electromagnetic mode and high order electronic cyclotron harmonic effectively owing to the excellent mode selective ability of PBGC. This gives a new clue to the research of gyrotron oscillator.
[1] Carmel Y, Chu K R, Dialetis D, Fliflet A W, Read M E, Kim K J, Arfin B, Granatstein V L 1982 Int. J. IRMM. Waves 3 645
[2] Whaley D R, Tran M Q, Tran T M, Antonsen T M 1994 IEEE Trans. Plasma Sci. 22 850
[3] Chu K R 1978 Phys. Fluids 21 2354
[4] Yablonovitch E, Gmitter T J, Leung K M 1991 Phys. Rev. Lett. 67 2295
[5] Shapiro M A, Brown W J, Mastovsky I, Sirigiri J R, Temkin R J 2001 Phys. Rev. Spl. Topics 4 042001
[6] Smirnova E I, Chen C, Shapiro M A, Sirigiri J R, Temkin R J 2002 J. App. Phys. 91 960
[7] Smirnova E I, Kesar A S, Mastovsky I, Shapiro M A, Temkin R J 2005 Phys. Rev. Lett. 95 074801
[8] Hao B L, Liu P K, Tang C J 2006 Acta Phys. Sin. 55 1862 (in Chinese) [郝保良、刘濮鲲、唐昌建 2006 55 1862]
[9] Gao X, Yang Z Q, Hou J, Yuan L M, Lan F, Shi Z J, Li D Z, Liang Z 2009 Acta Phys. Sin. 58 1105 (in Chinese) [高 喜、杨梓强、侯 钧、元丽梅、兰 峰、史宗军、李大治、梁 正 2009 58 1105]
[10] Liu C, Luo Y T, Tang C J, Liu P K 2009 Acta Phys. Sin. 58 8174 (in Chinese) [刘 畅、罗尧天、唐昌建、刘濮鲲 2009 58 8174]
[11] Liu Y, Gong H R, Wei Y Y, Gong Y B, Wang W X, Liao F J 2009 Acta Phys. Sin. 58 7845 (in Chinese) [刘 漾、巩华荣、魏彦玉、龚玉彬、王文祥、廖复疆 2009 58 7845]
[12] Sirigiri J R, Kreischer K E, Machuzak J, Mastovsky I, Shapiro M A, Temkin R J 2001 Phys. Rev. Lett. 86 5628
[13] Kuzmiak V, Maradudin A A, Pincemin F 1994 Phys. Rev. B 50 16835
[14] Fliflet A W 1986 Int. J. Electron. 61 1049
[15] Fliflet A W, Read M E, Chu K R, Seeley R 1982 Int. J. Electron. 53 505
[16] Fliflet A W, Manheimer W M 1989 Phys. Rev. A 39 3432
[17] Danly B G, Temkin R J 1986 Phys. Fluids 29 561
[18] Li H F, Du P Z 1984 Acta Electron. Sin. 12 76
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[1] Carmel Y, Chu K R, Dialetis D, Fliflet A W, Read M E, Kim K J, Arfin B, Granatstein V L 1982 Int. J. IRMM. Waves 3 645
[2] Whaley D R, Tran M Q, Tran T M, Antonsen T M 1994 IEEE Trans. Plasma Sci. 22 850
[3] Chu K R 1978 Phys. Fluids 21 2354
[4] Yablonovitch E, Gmitter T J, Leung K M 1991 Phys. Rev. Lett. 67 2295
[5] Shapiro M A, Brown W J, Mastovsky I, Sirigiri J R, Temkin R J 2001 Phys. Rev. Spl. Topics 4 042001
[6] Smirnova E I, Chen C, Shapiro M A, Sirigiri J R, Temkin R J 2002 J. App. Phys. 91 960
[7] Smirnova E I, Kesar A S, Mastovsky I, Shapiro M A, Temkin R J 2005 Phys. Rev. Lett. 95 074801
[8] Hao B L, Liu P K, Tang C J 2006 Acta Phys. Sin. 55 1862 (in Chinese) [郝保良、刘濮鲲、唐昌建 2006 55 1862]
[9] Gao X, Yang Z Q, Hou J, Yuan L M, Lan F, Shi Z J, Li D Z, Liang Z 2009 Acta Phys. Sin. 58 1105 (in Chinese) [高 喜、杨梓强、侯 钧、元丽梅、兰 峰、史宗军、李大治、梁 正 2009 58 1105]
[10] Liu C, Luo Y T, Tang C J, Liu P K 2009 Acta Phys. Sin. 58 8174 (in Chinese) [刘 畅、罗尧天、唐昌建、刘濮鲲 2009 58 8174]
[11] Liu Y, Gong H R, Wei Y Y, Gong Y B, Wang W X, Liao F J 2009 Acta Phys. Sin. 58 7845 (in Chinese) [刘 漾、巩华荣、魏彦玉、龚玉彬、王文祥、廖复疆 2009 58 7845]
[12] Sirigiri J R, Kreischer K E, Machuzak J, Mastovsky I, Shapiro M A, Temkin R J 2001 Phys. Rev. Lett. 86 5628
[13] Kuzmiak V, Maradudin A A, Pincemin F 1994 Phys. Rev. B 50 16835
[14] Fliflet A W 1986 Int. J. Electron. 61 1049
[15] Fliflet A W, Read M E, Chu K R, Seeley R 1982 Int. J. Electron. 53 505
[16] Fliflet A W, Manheimer W M 1989 Phys. Rev. A 39 3432
[17] Danly B G, Temkin R J 1986 Phys. Fluids 29 561
[18] Li H F, Du P Z 1984 Acta Electron. Sin. 12 76
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