2001/06/02 by Antonina N. Fedorova, Fedorova, Antonina N., Michael G. Zeitlin +1
Mathematics · Physics and Astronomy · #Accelerator Physics (physics.acc-ph) #Advanced Fiber Laser Technologies #Atomic and Subatomic Physics Research #Computational Physics (physics.comp-ph) #FOS: Physical sciences #Laser-Matter Interactions and Applications #Mathematical Physics (math-ph) #Pattern Formation and Solitons (nlin.PS) #Quantum Physics (quant-ph) #math-ph #math.MP #nlin.PS #physics.acc-ph #physics.comp-ph #quant-ph
paper · pdf · doi:10.48550/arxiv.physics/0106008
3 pages, 3 figures, JAC2001.cls, submitted to Proc. Particle Accelerator Conference (PAC 2001), Chicago, June 18-22, 2001
arxiv created 2001/06/02 · openalex publication_date 2001/06/02 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We consider space-charge dominated beam transport systems, where space-charge forces are the same order as external focusing forces and dynamics of the corresponding emittance growth. We consider the coherent modes of oscillations and coherent instabilities both in the different nonlinear envelope models and in initial collective dynamics picture described by Vlasov system. Our calculations are based on variation approach and multiresolution in the base of high-localized generalized coherent states/wavelets. We control contributions to dynamical processes from underlying multiscales via nonlinear high-localized eigenmodes expansions in the base of compactly supported wavelet and wavelet packets bases.