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Chin. Phys. B, 2013, Vol. 22(6): 067803    DOI: 10.1088/1674-1056/22/6/067803

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

Luo Ji-Run (罗积润)a, Cui Jian (崔健)b, Zhu Min (朱敏)a, Guo Wei (郭炜)a
a Institute of Electronics, Chinese Academy of Sciences, Beijing 100190, China;
b College of Electronic Information and Control Engineering, North China University of Technology, Beijing 100124, China
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:

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

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