Paper |
Title |
Page |
TUPAB231 |
Cooling of an Annular Beam by Using Nonlinear Effects |
1968 |
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- F. Capoani, M. Giovannozzi, R. Tomás García
CERN, Geneva, Switzerland
- A. Bazzani, F. Capoani
Bologna University, Bologna, Italy
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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.
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DOI • |
reference for this paper
※ https://doi.org/10.18429/JACoW-IPAC2021-TUPAB231
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About • |
paper received ※ 10 May 2021 paper accepted ※ 16 June 2021 issue date ※ 21 August 2021 |
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TUPAB232 |
Linear Coupling and Adiabaticity of Emittance Exchange |
1972 |
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- 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
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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.
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DOI • |
reference for this paper
※ https://doi.org/10.18429/JACoW-IPAC2021-TUPAB232
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|
About • |
paper received ※ 11 May 2021 paper accepted ※ 16 June 2021 issue date ※ 27 August 2021 |
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TUPAB233 |
Diffusive Models for Nonlinear Beam Dynamics |
1976 |
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- C.E. Montanari, A. Bazzani
Bologna University, Bologna, Italy
- M. Giovannozzi, C.E. Montanari
CERN, Geneva, Switzerland
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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.
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Poster TUPAB233 [0.574 MB]
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DOI • |
reference for this paper
※ https://doi.org/10.18429/JACoW-IPAC2021-TUPAB233
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|
About • |
paper received ※ 11 May 2021 paper accepted ※ 23 June 2021 issue date ※ 23 August 2021 |
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