Incoherent effects of space charge and sum resonances on particle beams in a storage ring

Franchetti, G.

doi:10.1103/physrevaccelbeams.22.114201

Cited by 5 publications

(8 citation statements)

References 22 publications

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“…The distance from the resonance is a quantity that emerges naturally from the theory of the resonances [18] and is defined as…”

Section: Beam Loss Resulting From Scattering Processmentioning

confidence: 99%

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Space charge, nonlinear resonances, and beam loss

Franchetti

2020

J. Inst.

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The effect of space charge in bunches stored for many synchrotron oscillations combined with the nonlinear resonances in a storage ring may create a particle diffusion to large amplitudes and eventually create unwanted beam loss. We review and discuss the mechanism which creates beam loss with the focus on how to estimate the number of particles that will be crossed by the stable fixed lines generated by a coupled resonance and space charge.

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“…The distance from the resonance is a quantity that emerges naturally from the theory of the resonances [18] and is defined as…”

Section: Beam Loss Resulting From Scattering Processmentioning

confidence: 99%

“…This formula allows us to find for which a, a y particles may be resonant, however, it does not help in understanding what the resonance implies in phase space, which requires a discussion on the fixed-lines [18][19][20][21].…”

Section: Beam Loss Resulting From Scattering Processmentioning

confidence: 99%

Space charge, nonlinear resonances, and beam loss

Franchetti

2020

J. Inst.

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“…and the derivation and related discussion can be found in [14][15][16][19][20][21]. For the working points chosen in the experiment the distances of the resonance Δ r0 are reported in Table I.…”

Section: Jinst 15 P07021mentioning

confidence: 99%

“…The comparison with respect to the experimental profiles shows that the prediction of the codes yields a less dense halo with respect to that found in the experiment. This difference most likely accounts for the limits of the modeling, which neglects the a general theory of space charge dynamics in the presence of non-linear coupled sum resonance of arbitrary order has been published [19].…”

Section: Simulation Modelingmentioning

confidence: 99%

Space charge induced losses in the CERN injector complex

et al. 2020

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Space charge effects in high intensity and high brightness synchrotrons can lead to undesired beam emittance growth, beam halo formation and particle loss. A series of dedicated machine experiments has been performed over the past decade in order to study these effects in the particular regime of long-term beam storage as required for certain applications. This paper gives an overview of the present understanding of the underlying beam dynamics mechanisms, with particular emphasis on space charge induced losses and the experience gained at the CERN injector complex. The focus is on the space charge induced periodic resonance crossing, which has been identified as the main mechanism causing beam degradation for long storage times. Examples of space charge driven and error driven resonances are presented, including possible mitigation strategies. Furthermore, an outlook for possible future directions of studies is presented.

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“…shows the expected orientation of the fixed line from the sextupole settings 33 . We attribute the difference between Ω exp fl and Ω drt fl to the unavoidable presence of beta-beating.…”

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confidence: 99%

Experimental observation of fixed lines in a particle accelerator

Franchetti¹,

Bartosik

Schmidt

2023

Preprint

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The motion of systems with linear restoring forces and recurring nonlinear perturbations is of central importance in physics: when a system's natural oscillation frequencies and the frequency of the nonlinear restoring forces satisfy certain algebraic relations, the dynamics becomes resonant. Such a resonant dynamics is of interest in a broad range of applications and happens at any scale, from electron cyclotron resonances observed in plasma physics [1] to condensed-matter physics [2] and to the planetary motion of the solar system [3]. In accelerator physics [4], the understanding of resonances and nonlinear dynamics is crucial to avoid particle loss. Here, we report on an experiment performed at the CERN Super Proton Synchrotron (SPS) to investigate a second order coupled resonance by measuring the position of a particle beam at discrete locations around the accelerator. Despite instrumental noise, we have constructed the ``Poincar\'e surface of section'' [5], which is described by the Arnold resonant tori [6], and found convincing evidence of a ``fixed line structure'' generated by the resonance.

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Incoherent effects of space charge and sum resonances on particle beams in a storage ring

Cited by 5 publications

References 22 publications

Space charge, nonlinear resonances, and beam loss

Space charge, nonlinear resonances, and beam loss

Space charge induced losses in the CERN injector complex

Experimental observation of fixed lines in a particle accelerator

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