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  

Schimizu, J.

Paper Title Page
FRPMN032 On Skew Nonlinear Resonance in the SPring-8 Storage Ring 4003
  • M. Takao, M. Masaki, J. Schimizu, K. Soutome, S. Takano
    JASRI/SPring-8, Hyogo-ken
  Recently we accomplish the matrix formulation for the canonical perturbation theory of the linear betatron coupling resonance. By merging the perturbation theory with the matrix formalism, we manifest the symplectic structure of the former theory, and conversely derive the analytical representation for the latter. The formulation for the coupled betatron motion implies that the linear coupling causes the excitation of skew resonances by nonlinear fields with mid-plane symmetry. This effect is visible in the vicinity of the linear coupling resonance, which is observed in the SPring-8 storage ring, for example, as the blow-up of the vertical beam size on the third order skew coupling resonance. For the purpose of studying the impacts of the skew nonlinear resonance on the beam dynamics, we investigate the characteristic behavior of the resonance expected by the matrix formulation.