Specific cyclotron correlations under space charge effects in the case of a spherical beam

Bertrand, Patrick; Ricaud, Ch.

doi:10.1063/1.1435281

Cited by 6 publications

(2 citation statements)

References 2 publications

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“…In this case the betatron tunes become imaginary and the oscillation amplitudes grow exponentially. This has been shown in an elegant simplified model by Bertrand and Ricaud [9], which was further elaborated by Baartman [8].…”

Section: Jinst 18 P03018mentioning

confidence: 78%

An analytical envelope model for space charge in cyclotrons

Kleeven

2023

J. Inst.

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The statistical σ-matrix approach is used to derive general envelope equations for ellipsoidal bunches with space charge in isochronous and non-isochronous fixed-field accelerators (FFAs) These accelerators couple the radial and longitudinal phase spaces due to momentum dispersion induced by the space charge effect. This generates a rotation of the bunch around the local vertical axis which is known in the field as the vortex effect. A special invariant of the vortex is found which represents its total angular momentum with respect to its center. For the isochronous cyclotron, a special solution of the envelope equations is found which describes a circular bunch with equal radial and longitudinal RMS sizes. The existence of this solution is a direct consequence of the circular symmetry of the single particle Hamiltonian in a co-moving coordinate frame. The stationary solution of the circular bunch fixes the relation between bunch sizes and accelerated current (or the total charge per bunch) for given emittances. The general envelope equations may easily be implemented in existing numerical envelope codes.

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Section: Jinst 18 P03018mentioning

confidence: 78%

An analytical envelope model for space charge in cyclotrons

Kleeven

2023

J. Inst.

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“…An early theoretical approach to vortex motion was presented in [50]. A more rigorous treatment for AVF cyclotrons was presented in [51] and later extended to the central region and injection in [52].…”

Section: Vortex-motionmentioning

confidence: 99%

Order-of-magnitude beam current improvement in compact cyclotrons

et al. 2022

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There is great need for high intensity proton beams from compact particle accelerators in particle physics, medical isotope production, and materials- and energy-research. To address this need, we present, for the first time, a design for a compact isochronous cyclotron that will be able to deliver 10 mA of 60 MeV protons - an order of magnitude higher than on-market compact cyclotrons and a factor four higher than research machines. A key breakthrough is that vortex motion is incorporated in the design of a cyclotron, leading to clean extraction. Beam losses on the septa of the electrostatic extraction channels stay below 120~W (40\% below the required safety limit), while maintaining good beam quality. We present a set of highly accurate particle-in-cell simulations, and an uncertainty quantification of select beam input parameters using machine learning, showing the robustness of the design. This design can be utilized for beams for experiments in particle and nuclear physics, materials science and medical physics as well as for industrial applications.

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Beam dynamics simulation for the high intensity cyclotrons

Yang

Adelmann

Barletta

et al. 2013

Nuclear Instruments and Methods in Physics Research Section A:

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In the DAEδALUS (Decay-At-rest Experiment for δCP studies At the Laboratory for Underground Science) project, high power H + 2 cyclotron chains are proposed to efficiently provide proton beams with a kinetic energy of 800 MeV and an average power in the MW range. Space charge plays a pivotal role in both the injector and the ring cyclotrons. Large-scale particle simulations show that the injector cyclotron is a space charge dominated cyclotron and that a 5mA beam current can be extracted with tolerable beam losses on the septum. In contrast, in the ring cyclotron, no space charge induced beam loss is observed during acceleration and extraction.

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Specific cyclotron correlations under space charge effects in the case of a spherical beam

Cited by 6 publications

References 2 publications

An analytical envelope model for space charge in cyclotrons

An analytical envelope model for space charge in cyclotrons

Order-of-magnitude beam current improvement in compact cyclotrons

Beam dynamics simulation for the high intensity cyclotrons

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