Space-Charge Dominated Beam Transport via Multiresolution

Details Space-Charge Dominated Beam Transport via Multiresolution Space-Charge Dominated Beam Transport via Multiresolution

2001-06-02

arxiv.org/abs/physics/0106008v1

Physics

Accelerator Physics

3 pages, 3 figures, JAC2001.cls, submitted to Proc. Particle Accelerator Conference (PAC 2001), Chicago, June 18-22, 2001

Scientific paper

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.

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