DocumentCode :
378033
Title :
Space-charge dominated beam transport via multiresolution
Author :
Fedorova, Antonina N. ; Zeitlin, Michael G.
Author_Institution :
Acad. of Sci., St. Petersburg, Russia
Volume :
4
fYear :
2001
fDate :
2001
Firstpage :
2982
Abstract :
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 the Vlasov system. Our calculations are based on a variational 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 eigenmode expansions in the base of compactly supported wavelet and wavelet packets bases
Keywords :
Vlasov equation; eigenvalues and eigenfunctions; particle beam dynamics; particle beam focusing; particle beam stability; variational techniques; Vlasov system; beam emittance growth; coherent instabilities; coherent oscillation modes; dynamical processes; focusing dynamics; focusing forces; high-localized generalized coherent states; high-localized generalized coherent wavelets; initial collective dynamics; multiresolution; nonlinear envelope models; nonlinear high-localized eigenmode expansions; space-charge dominated beam transport; space-charge forces; variational approach; wavelet packets; Differential equations; Distribution functions; Integral equations; Nonlinear dynamical systems; Nonlinear equations; Poisson equations; Statistical distributions; Structural beams; Wavelet analysis; Wavelet packets;
fLanguage :
English
Publisher :
ieee
Conference_Titel :
Particle Accelerator Conference, 2001. PAC 2001. Proceedings of the 2001
Conference_Location :
Chicago, IL
Print_ISBN :
0-7803-7191-7
Type :
conf
DOI :
10.1109/PAC.2001.987978
Filename :
987978
Link To Document :
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