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TY - UNPB AU - Chung, M. AU - Qin, H. ED - Schaa, Volker RW TI - Analysis of Envelope Perturbations in High-Intensity Beams Using Generalized Courant-Snyder Formulation J2 - Proc. of HB2018, Daejeon, Korea, 17-22 June 2018 C1 - Daejeon, Korea T2 - ICFA Advanced Beam Dynamics Workshop T3 - 61 LA - english AB - Analysis of the small-amplitude perturbations around the matched beam envelope has been used as a basic theoretical framework to characterize the high-intensity beam transport. The beam stability properties in periodic quadrupole and solenoid channels have been analyzed by many authors in terms of that framework. In general, the linearized perturbed envelope equations are coupled. Therefore, application of the conventional Courant-Snyder theory to this problem has not been straightforward. In this work, we adopt the recently developed generalized Courant-Snyder formulation, and revisit the spectral and structural stability properties of the envelope perturbations. The generalized Courant-Snyder invariant of the envelope perturbations is identified, and its physical interpretation will be given. Since the generalized Courant-Snyder formulation can be easily extended to three-dimensional cases, we also investigate the three-dimensional envelope instability by means of the generalized Courant-Snyder formulation. PB - JACoW Publishing CP - Geneva, Switzerland ER -