Mode stability analysis in the beam-wave interaction process for a three-gap Hughes-type coupled cavity chain

doi:10.1088/1674-1056/22/6/067803

Abstract Based on space-charge wave theory, the formulae of the beam-wave coupling coefficient and the beam-loaded conductance are given for the beam-wave interaction in an N-gap Hughes-type coupled cavity chain. The ratio of the nonbeam-loaded quality factor of the coupled cavity chain to the beam quality factor is used to determine the stability of the beam-wave interaction. As an example, the stabilities of the beam-wave interaction in a three-gap Hughes-type coupled cavity chain are discussed with the formulae and the CST code for the operations of the 2π, π, and π/2 modes, respectively. The results show that stable operation of the 2π, π, and π/2 modes may all be realized in an extended-interaction klystron with the three-gap Hughes-type coupled cavity chain.

Keywords: three-gap Hughes-type coupled cavity chain coupling coefficient beam-loaded conductance beam quality factor stability

Received: 29 October 2012
Revised: 24 November 2012
Accepted manuscript online:

PACS:	78.70.Gq	(Microwave and radio-frequency interactions)
	84.40.-x	(Radiowave and microwave (including millimeter wave) technology)
	84.40.Fe	(Microwave tubes (e.g., klystrons, magnetrons, traveling-wave, backward-wave tubes, etc.))

Fund: Project supported by the National Natural Science Foundation of China (Grant No. 11205162).

Corresponding Authors: Luo Ji-Run
E-mail: luojirun@mail.ie.ac.cn

Cite this article:

Luo Ji-Run (罗积润), Cui Jian (崔健), Zhu Min (朱敏), Guo Wei (郭炜) Mode stability analysis in the beam-wave interaction process for a three-gap Hughes-type coupled cavity chain 2013 Chin. Phys. B 22 067803

[1]	Wessel-Berg T 1957 Microwave Laboratory, Stanford University, Technical Reports p. 376
[2]	Chodorow M and Wessel-Berg T 1961 IRE Trans. Electron. Dev. 8 44
[3]	Shin Y M and Park G S 2004 J. Korean Phys. Soc. 44 1239
[4]	Roitman A, Horoyski P, Berry D and Steer B 2006 Proceeding of the Seventh IEEE International Vacuum Electronics Conference, April 25-27, Monterey, California, USA, p. 191
[5]	Roitman A, Berry D and Steer B 2005 IEEE Trans. Electron. Dev. 52 895
[6]	Chen L, Cheng F H, Wang J D, Yang C Y and Chu K R 2002 Proceeding of the Third IEEE International Vacuum Electronics Conference, April 23-25, Monterey, California, USA, p. 322
[7]	Randall J P, Perring D and Nuth V R 1980 Proceedings of the Conference on Vacuum Devices 30 455
[8]	Nguyen K T, Pershing D E, Abe D K and Levush B 2006 IEEE Trans. Plasma Sci. 34 576
[9]	Preist D H and Leidigh W J 1963 IEEE Trans. Electron. Dev. 10 201
[10]	Lien E and Robinson D 1966 Technical Report for United States Army Electronics Command, No. ECOM-01362-F
[11]	Quan Y, Ding Y G and Wang S Z 2009 IEEE Trans. Plasma Sci. 37 30
[12]	Pierce J R and Shepherd W G 1947 J. Bell System Tech. 26 663
[13]	Branch G M Jr 1961 IRE Trans. Electron. Dev. 8 193
[14]	Cui J, Luo J R, Zhu M and Guo W 2011 Acta Phys. Sin. 60 051101 (in Chinese)
[16]	Kantrowitz F and Tammaru I 1988 IEEE Trans. Electron. Dev. 35 2018
[17]	Perring D, Philips G and Smith M J 1976 Advisory Group for Aerospace Research and Development Conference Proceedings, Hayes, England, May 1-8, p. 197

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Mode stability analysis in the beam-wave interaction process for a three-gap Hughes-type coupled cavity chain

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