| Paper |
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| THPAS009 |
On the Stability of the Kapchinskij-Vladimirskij Equations
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3528 |
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- C. Xu
- C. K. Allen
LANL, Los Alamos, New Mexico
- E. Schuster
Lehigh University, Bethlehem, Pennsylvania
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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.
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