CYCLOTRONS- 2001, Abstract 1

Fedorova A.N., Zeitlin M.G.

RMS ENVELOPE DYNAMICS FOR HIGH-BRIGHTNESS BEAMS

We present applications of methods from nonlinear local harmonic analysis or wavelet analysis to a number of nonlinear accelerator physics problems related to description of motion of high-brightness beams. Our approach is based on methods provided possibility to work with well-localized bases in phase space and good convergence properties of corresponding expansions. Consideration of transverse dynamics of relativistic, space-charge dominated beams is based on variational approach to rational (in dynamical variables) approximation for rms envelope equations and allows us to control contribution from each scale of underlying multiscales and represent the solutions via exact nonlinear (eigen)mode expansions [1]-[3].

[1]A.Fedorova,M.Zeitlin,EPAC00,415,872,1101,1190, 1339,2325.
[2].A.Fedorova,M.Zeitlin,PAC99,1614,1617,1620, 2900,2903,2906,2909,2912.
[3].A.Fedorova,M.Zeitlin,Proc.UCLA ICFA Workshop, 235-254,World Sci.,2000