ICAP 2002 Abstracts and Posters
Efficient Approach to Beam-Beam Interactions
Abstract
We consider modeling for strong-strong beam-beam
interactions
beyond standard linearized/perturbative methods
such as soft gaussian approximation, FMM etc.
In our approach, which is based on Fast wavelet transform
representation for singular integral operator
(Hilbert transform) and variational approach, the full set
of
modes, discovered before (discrete coherent and
possible incoherent oscillations), appear as
the result of multiresolution/multiscale fast convergent
decomposition in the bases of
high-localized exact nonlinear modes represented by wavelet
or
wavelet packet functions.
The constructed solutions represent the full multiscale
spectrum
in all internal hidden scales from slow to fast
oscillating
eigenmodes. Underlying variational method provides
algebraical
control of the spectrum and type of dynamical behaviour.
1. Proc. EPAC02, pp.1323,1344,1434,1482,1595, Paris, 2002
or
arXiv preprints,
physics/0206053,0206052,0206051,0206050,0206049,0206054;
nlin.PS/0206024
Antonina N. Fedorova, Michael G. Zeitlin
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