Possible Application of Round-to-Flat Hadron Beam Creation Using 3rd Order Coupling Resonances for the Electron-Ion Collider

Kallestrup, Jonas; Gu, X.

doi:10.18429/jacow-ipac2021-mopab019

Cited by 2 publications

(1 citation statement)

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“…The source of inspiration is the analysis of the impact of crossing the Walkinshaw, i.e. ω x − 2ω y = 0, resonance [20,21], and for the 2ω x − ω y resonance [22]. However, the focus of the analysis performed in Ref.…”

Section: Introductionmentioning

confidence: 99%

Manipulation of transverse emittances in circular accelerators by crossing non-linear 2D resonances

Bazzani¹,

Capoani²,

Giovannozzi³

2022

Preprint

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Controlling non-linear effects in the transverse dynamics of charged particle beams in circular accelerators opens new possibilities for controlling some of the beam properties. Beam splitting by crossing a stable 1D non-linear resonance is part of the routine operation of the CERN Proton Synchrotron. The beam undergoes trapping and transport inside stable islands created in the horizontal plane to allow multi-turn extraction towards the Super Proton Synchrotron, where the beam is used for fixed-target experiments. This process acts only on the horizontal beam emittance, inducing a reduction of its initial value. In this paper, we present a generalisation of this approach, in which both transverse planes are affected by the proposed technique. We will discuss in detail how to manipulate the transverse emittances by means of a controlled crossing of a 2D non-linear resonance. The novel technique will be presented by discussing the theoretical analysis of a Hamiltonian model, as well as simulating the performance of the proposed manipulation using a more realistic non-linear symplectic map.

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Section: Introductionmentioning

confidence: 99%

Manipulation of transverse emittances in circular accelerators by crossing non-linear 2D resonances

Bazzani¹,

Capoani²,

Giovannozzi³

2022

Preprint

View full text Add to dashboard Cite

show abstract

Manipulation of transverse emittances in circular accelerators by crossing nonlinear 2D resonances

2022

View full text Add to dashboard Cite

Controlling nonlinear effects in the transverse dynamics of charged particle beams in circular accelerators opens new possibilities for controlling some of the beam properties. Beam splitting by crossing a stable 1D nonlinear resonance is part of the routine operation of the CERN Proton Synchrotron. The beam undergoes trapping and transport inside stable islands created in the horizontal plane to allow multi-turn extraction toward the Super Proton Synchrotron, where the beam is used for fixed-target experiments. This process acts only on the horizontal beam emittance, inducing a reduction of its initial value. In this paper, we present a generalization of this approach, in which both transverse planes are affected by the proposed technique. We will discuss in detail how to manipulate the transverse emittances by means of a controlled crossing of a 2D nonlinear resonance. The novel technique will be presented by discussing the theoretical analysis of a Hamiltonian model, as well as simulating the performance of the proposed manipulation using a more realistic nonlinear symplectic map.

show abstract

Possible Application of Round-to-Flat Hadron Beam Creation Using 3rd Order Coupling Resonances for the Electron-Ion Collider

Cited by 2 publications

References 0 publications

Manipulation of transverse emittances in circular accelerators by crossing non-linear 2D resonances

Manipulation of transverse emittances in circular accelerators by crossing non-linear 2D resonances

Manipulation of transverse emittances in circular accelerators by crossing nonlinear 2D resonances

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