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Xu, C.

Paper Title Page
THPAS009 On the Stability of the Kapchinskij-Vladimirskij Equations 3528
 
  • C. Xu, E. Schuster
    Lehigh University, Bethlehem, Pennsylvania
  • C. K. Allen
    LANL, Los Alamos, New Mexico
 
  The stability of the linearized Kapchinskij-Vladimirskij (KV) equations around a matched solution, which constitute a linear periodic Hamiltonian system, is studied. By using Floquet theorem, symplectic algebra and the eigenvalue distribution theory, a critical stability condition for the linearized particle beam envelope equations is obtained. The stability conditions are expressed in terms of the time-averaged Hamiltonian system.