6 papers · 1 filter
The Short-Term Dynamical Aperture via Variational-Wavelet Approach with Constraints
Antonina N. Fedorova, Michael G. Zeitlin
We present the applications of wavelet analysis methods in constrained variational framework to calculation of dynamical aperture. We construct represention via exact nonlinear hig…
Nonlinear Dynamics of High-Brightness Beams
Antonina N. Fedorova, Michael G. Zeitlin
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 dyn…
Space-Charge Dominated Beam Transport via Multiresolution
Antonina N. Fedorova, Michael G. Zeitlin
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 grow…
Modelling of Beam-Beam Effects in Multiscales
Antonina N. Fedorova, Michael G. Zeitlin
We present the applications of nonlinear local harmonic analysis methods to the modelling of beam-beam interaction. Our approach is based on methods provided the possibility to wor…
Quasiclassical Calculations of Wigner Functions in Nonlinear Beam Dynamics
Antonina N. Fedorova, Michael G. Zeitlin
We present the application of variational-wavelet analysis to numerical/analytical calculations of Wigner functions in (nonlinear) quasiclassical beam dynamics problems. (Naive) de…
Localized Coherent Structures and Patterns Formation in Collective Models of Beam Motion
Antonina N. Fedorova, Michael G. Zeitlin
We present applications of variational -- wavelet approach to three different models of nonlinear beam motions with underlying collective behaviour: Vlasov-Maxwell-Poisson systems,…