Title :
Nonlinear dynamics of high-brightness beams
Author :
Fedorova, Antonina N. ; Zeitlin, Michael G.
Author_Institution :
IPME, Acad. of Sci., St. Petersburg, Russia
Abstract :
The consideration of transverse dynamics of relativistic space-charge dominated beams and halo growth due to bunch oscillations is based on variational approach to rational (in dynamical variables) approximation for rms envelope equations. It allows to control contribution from each scale of underlying multiscales and represent solutions via exact nonlinear eigenmodes expansions. Our approach is based on methods provided possibility to work with well-localized bases in phase space and good convergence properties of the corresponding expansions
Keywords :
eigenvalues and eigenfunctions; oscillations; particle beam bunching; particle beam dynamics; variational techniques; bunch oscillations; control contribution; convergence properties; dynamical variables; envelope equations; exact nonlinear eigenmodes expansions; halo growth; high-brightness beams; multiscales; nonlinear dynamics; particle accelerators; relativistic space-charge dominated beams; transverse dynamics; variational approach; Differential equations; Distribution functions; Ear; Energy resolution; Harmonic analysis; Laser beams; Nonlinear equations; Particle beams; Statistical distributions; Wavelet analysis;
Conference_Titel :
Particle Accelerator Conference, 2001. PAC 2001. Proceedings of the 2001
Conference_Location :
Chicago, IL
Print_ISBN :
0-7803-7191-7
DOI :
10.1109/PAC.2001.987986
