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In this paper a dielectric-loaded folded waveguide slow-wave circuit is presented. The "hot" dispersion relation for slow wave interaction between the traveling wave and linear beam is derived from the fluid dynamical treatment. In the special case where εr=1, the dispersion relation can be simplified with a closed form of the conventional Pierce’s small-signal equation, which confirms the validity of the derivations. By giving the specific parameters, the effects of dielectric loading on the small-signal gain have been studied. The results indicated that in the case of "weak loading" (where d/a<0.1), the gain is flattened and there is no need to readjust the structure parameters beyond a slight adjustment of beam parameters. By considering that the "weak loading" can reduce the ohmic loss of the conductor, this study will be also a guide to the research of the THz folded waveguide traveling-wave tube.
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Keywords:
- folded waveguide /
- traveling-wave tube amplifier /
- dielectric loading /
- hot dispersion relation
[1] Xu A, Wang W X, Wei Y Y, Gong Y B, Wang Z L, Fu C F, Yin H R 2009 Acta Phys. Sin. 58 3592 (in Chinese) [徐 翱、王文祥、魏彦玉、宫玉彬、王战亮、付成芳、殷海荣 2009 物理学报58 3592]
[2] Xu A, Wang W X, Wei Y Y, Gong Y B 2009 Chin. Phys. B 18 810
[3] Liu H T, He J, Wei Y Y Acta Phys. Sin. (in Chinese) Accepted and to be published [刘洪涛、何 俊、魏彦玉、王文祥 物理学报](已接受)
[4] Lu Z G, Gong Y B, Wei Y Y 2006 Chin. Phys. 15 2661
[5] Dohler G, Gagne D, Gallagher D, Moats R 1987 Proc. Tech. Dig. Int. Electron Devices Meeting 485
[6] Xu A, Wang W X, Wei Y Y, Gong Y B 2009 Chin. Phys. B 18 1270
[7] 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、宫玉彬、王文祥、廖复疆 2009 物理学报58 7845]
[8] Han S T, Jeon S G, Shin Y M, Jang K H, So J K, Kim J H, Chang S S, Park G S 2005 IEEE Trans. Plasma Sci. 33 679
[9] Bhattacharjee S, Booske J H, Kory C L, Weide D W, Limbach S, Gallagher S, Welter J D, Lopez M R, Gilgenbach R M, Ives R L, Read M E, Divan R, Mancini D C 2004 IEEE Trans. Plasma Sci. 32 1002
[10] Young H N, Sang W C, Jin J C 2002 IEEE Trans. on Plasma Sci. 30 1017
[11] Theiss A J, Lyon D B, Hiramatsu Y 1993 IEEE Int. Electron Devices Meeting 149
[12] He J, Wei Y Y, Gong Y B, Wang W X 2009 Chin. Phys. Lett. 26 114103
[13] Ganguly A K, Choi J J, Armstrong C M 1995 IEEE Trans. Elec. Dev. 42 348
[14] Freund H P, Zaidman E G, Kodis M A, Vanderplaats N R 1996 IEEE Trans. Plasma Sci. 24 895
[15] Zhang C Q, Gong Y B, Gong H R, Wei Y Y, Wang W X 2009 Int. J. Infrared Millim. Waves 30 1027
[16] Ha H J, Jung S S, Park G S 1999 Journal of the Korean Physical Society 34 297
[17] Bowden B, Harrington J A, Mitrofanov O 2008 Appl. Phys. Lett. 93 181104
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[1] Xu A, Wang W X, Wei Y Y, Gong Y B, Wang Z L, Fu C F, Yin H R 2009 Acta Phys. Sin. 58 3592 (in Chinese) [徐 翱、王文祥、魏彦玉、宫玉彬、王战亮、付成芳、殷海荣 2009 物理学报58 3592]
[2] Xu A, Wang W X, Wei Y Y, Gong Y B 2009 Chin. Phys. B 18 810
[3] Liu H T, He J, Wei Y Y Acta Phys. Sin. (in Chinese) Accepted and to be published [刘洪涛、何 俊、魏彦玉、王文祥 物理学报](已接受)
[4] Lu Z G, Gong Y B, Wei Y Y 2006 Chin. Phys. 15 2661
[5] Dohler G, Gagne D, Gallagher D, Moats R 1987 Proc. Tech. Dig. Int. Electron Devices Meeting 485
[6] Xu A, Wang W X, Wei Y Y, Gong Y B 2009 Chin. Phys. B 18 1270
[7] 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、宫玉彬、王文祥、廖复疆 2009 物理学报58 7845]
[8] Han S T, Jeon S G, Shin Y M, Jang K H, So J K, Kim J H, Chang S S, Park G S 2005 IEEE Trans. Plasma Sci. 33 679
[9] Bhattacharjee S, Booske J H, Kory C L, Weide D W, Limbach S, Gallagher S, Welter J D, Lopez M R, Gilgenbach R M, Ives R L, Read M E, Divan R, Mancini D C 2004 IEEE Trans. Plasma Sci. 32 1002
[10] Young H N, Sang W C, Jin J C 2002 IEEE Trans. on Plasma Sci. 30 1017
[11] Theiss A J, Lyon D B, Hiramatsu Y 1993 IEEE Int. Electron Devices Meeting 149
[12] He J, Wei Y Y, Gong Y B, Wang W X 2009 Chin. Phys. Lett. 26 114103
[13] Ganguly A K, Choi J J, Armstrong C M 1995 IEEE Trans. Elec. Dev. 42 348
[14] Freund H P, Zaidman E G, Kodis M A, Vanderplaats N R 1996 IEEE Trans. Plasma Sci. 24 895
[15] Zhang C Q, Gong Y B, Gong H R, Wei Y Y, Wang W X 2009 Int. J. Infrared Millim. Waves 30 1027
[16] Ha H J, Jung S S, Park G S 1999 Journal of the Korean Physical Society 34 297
[17] Bowden B, Harrington J A, Mitrofanov O 2008 Appl. Phys. Lett. 93 181104
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