Study of the Capacitance Coupling in Accelerators

  • The relation between the input impedance and the characteristic parameters of a cavity, such as the resonance frequency, shunt impedance and the quality factor, has been obtained based on the equivalent circuit of the cavity and the coupling system. Using the matching condition, the ratio of coupling capacitance to the equivalent capacitance of the cavity can be acquired as a function of the characteristic parameters of the cavity, the value of the coupling capacitance can be obtained with a help of a numerical simulation and the perturbation theory, and then the perfect matching between the cavity and the transmission line can be procured. The application of these results on a model cavity is presented too.
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  • [1] . LI Zhi-Hui, TANG Jing-Yu. High Power Laser and Particle Beams, 2000, 12(1): 107(in Chinese)(李智慧,唐靖宇.强激光与粒子束,2000, 12(1): 107)2. ZHOU Qing-Yi. Microwave Measurement Technology. Bei-jing: National Defence Industry Press, 1964. 215(in Chinese)(周清一.微波测量技术.北京:国防上业出版社,1964. 215)
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LI Zhi-Hui. Study of the Capacitance Coupling in Accelerators[J]. Chinese Physics C, 2006, 30(7): 680-683.
LI Zhi-Hui. Study of the Capacitance Coupling in Accelerators[J]. Chinese Physics C, 2006, 30(7): 680-683. shu
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Received: 2005-11-01
Revised: 2006-04-04
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Study of the Capacitance Coupling in Accelerators

    Corresponding author: LI Zhi-Hui,
  • Institute of Modern Physics, CAS, Lanzhou 730000, China

Abstract: The relation between the input impedance and the characteristic parameters of a cavity, such as the resonance frequency, shunt impedance and the quality factor, has been obtained based on the equivalent circuit of the cavity and the coupling system. Using the matching condition, the ratio of coupling capacitance to the equivalent capacitance of the cavity can be acquired as a function of the characteristic parameters of the cavity, the value of the coupling capacitance can be obtained with a help of a numerical simulation and the perturbation theory, and then the perfect matching between the cavity and the transmission line can be procured. The application of these results on a model cavity is presented too.

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