Author: Li, Z.
Paper Title Page
THP2WB04 Longitudinal Dynamics of Low Energy Superconducting Linac 383
 
  • Z. Li
    SCU, Chengdu, People's Republic of China
 
  Funding: funded by NSFC(11375122, 11511140277)
The superconducting linac is composed of short independent cavities, and the cavity occupies only a small portion (1/4 to 1/6) of the machine compared with the normal conducting one. When phase advance per period is greater than 60 degrees, the smooth approximation is no longer valid and the longitudinal motion has to be described by time dependent system. With the help of Poincare map, the single particle nonlinear time dependent longitudinal motion is investigated. The study shows that when phase advance per period is less than 60 degrees, the system can be well described by smooth approximation, that means there is a clear boundary (separatrix) between stable and unstable area; when phase advance is greater than 60 degrees, the system shows a quite different dynamic structures and the phase acceptance is decreased significantly compared with the smooth approximation theory predicated, especially when phase advance per period is greater than 90 degrees. The results show that even for low current ma-chine, the zero current phase advance should be kept less than 90 degrees to make sure there is no particle loss because of the shrink of the longitudinal acceptance.
 
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DOI • reference for this paper ※ https://doi.org/10.18429/JACoW-HB2018-THP2WB04  
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