Title :
Modelling of beam-beam effects in multiscales
Author :
Fedorova, Antonina N. ; Zeitlin, Michael G.
Author_Institution :
IPME, Acad. of Sci., St. Petersburg, Russia
Abstract :
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 work with dynamical beam localization in phase space. The consideration of Fokker-Planck or Vlasov-Maxwell models is based on a number of anzatzes, which reduce initial problems to a number of dynamical systems (with constraints) and on variational-wavelet approach to polynomial/rational approximations for reduced nonlinear dynamics. We calculate contribution to full dynamics (partition function) from all underlying subscales via nonlinear eigenmodes decomposition
Keywords :
Fokker-Planck equation; Maxwell equations; Vlasov equation; eigenvalues and eigenfunctions; harmonic analysis; nonlinear dynamical systems; particle beam dynamics; Fokker-Planck models; Vlasov-Maxwell models; beam-beam effects; dynamical beam localization; dynamical systems; initial problems; linear harmonic analysis; nonlinear eigenmodes decomposition; nonlinear local harmonic analysis methods; phase space; polynomial approximations; rational approximations; variational-wavelet approach; Distribution functions; Energy resolution; Harmonic analysis; Maxwell equations; Numerical models; Partial differential equations; Pattern formation; Polynomials; Structural beams; 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.2001.987189
