Author: Bazzani, A.
Paper Title Page
TUPAB231 Cooling of an Annular Beam by Using Nonlinear Effects 1968
 
  • F. Capoani, M. Giovannozzi, R. Tomás García
    CERN, Geneva, Switzerland
  • A. Bazzani, F. Capoani
    Bologna University, Bologna, Italy
 
  In recent years, nonlinear effects have been used to modify the transverse beam distribution by crossing nonlinear resonances adiabatically. This allows generating transversally split beams, in which the initial single Gaussian is divided into several ones depending on the order and stability type of the resonance used. Nonlinear effects could be used to try and cool a beam by acting on its transverse beam distribution. In this paper, we present and discuss the special case of a beam with an annular distribution, showing how the resulting emittance could be reduced by means of nonlinear effects.  
DOI • reference for this paper ※ https://doi.org/10.18429/JACoW-IPAC2021-TUPAB231  
About • paper received ※ 10 May 2021       paper accepted ※ 16 June 2021       issue date ※ 21 August 2021  
Export • reference for this paper using ※ BibTeX, ※ LaTeX, ※ Text/Word, ※ RIS, ※ EndNote (xml)  
 
TUPAB232 Linear Coupling and Adiabaticity of Emittance Exchange 1972
 
  • F. Capoani, M. Giovannozzi
    CERN, Geneva, Switzerland
  • A. Bazzani, F. Capoani
    Bologna University, Bologna, Italy
  • A.I. Neishtadt
    IKI, Moscow, Russia
  • A.I. Neishtadt
    Loughborough University, Leicestershre, United Kingdom
 
  In circular accelerators, crossing the coupling resonance induces the exchange of the transverse emittances, provided the process is adiabatic. In this paper, we introduce a theoretical framework to analyze the resonance-crossing process, based on Hamiltonian mechanics, which is capable of explaining all the features of the emittance exchange process.  
DOI • reference for this paper ※ https://doi.org/10.18429/JACoW-IPAC2021-TUPAB232  
About • paper received ※ 11 May 2021       paper accepted ※ 16 June 2021       issue date ※ 27 August 2021  
Export • reference for this paper using ※ BibTeX, ※ LaTeX, ※ Text/Word, ※ RIS, ※ EndNote (xml)  
 
TUPAB233 Diffusive Models for Nonlinear Beam Dynamics 1976
 
  • C.E. Montanari, A. Bazzani
    Bologna University, Bologna, Italy
  • M. Giovannozzi, C.E. Montanari
    CERN, Geneva, Switzerland
 
  Diffusive models for representing the nonlinear beam dynamics in a circular accelerator ring have been developed in recent years. The novelty of the work presented here with respect to older approaches is that the functional form of the diffusion coefficient is derived from the time stability estimate of the Nekhoroshev theorem. In this paper, we discuss the latest results obtained for simple models of nonlinear betratron motion.  
poster icon Poster TUPAB233 [0.574 MB]  
DOI • reference for this paper ※ https://doi.org/10.18429/JACoW-IPAC2021-TUPAB233  
About • paper received ※ 11 May 2021       paper accepted ※ 23 June 2021       issue date ※ 23 August 2021  
Export • reference for this paper using ※ BibTeX, ※ LaTeX, ※ Text/Word, ※ RIS, ※ EndNote (xml)