A   B   C   D   E   F   G   H   I   J   K   L   M   N   O   P   Q   R   S   T   U   V   W   X   Y   Z  

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.