Description of beam instabilities in synchrotrons with wakefields and space charge forces using the circulant matrix model

Buffat, Xavier; Métral, E.; Gottlob, E.; Hogh, Cathrine Norre; Oeftiger, Adrian; Pieloni, Tatiana

doi:10.1103/physrevaccelbeams.24.060101

Cited by 6 publications

(5 citation statements)

References 16 publications

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“…In a recent Ref. [47], the joint action of wake and SC forces was examined by means of a numerical circulant matrix model (CMM) applied to a bunch represented by several thin rings, from one to fifty, in the longitudinal phase space with a parabolic potential well; no transverse variation of the SC tune shifts was assumed. For a single ring, i.e., for the conventional air-bag, all the conclusions of Ref.…”

Section: Bunched Beamsmentioning

confidence: 99%

“…It is clear now, that convective instabilities constitute a common obstacle for high-intensity circular machines of low and medium energy, where SC is significant; they take place at CERN SPS [47,48] and PS [49] rings, as well as at the Fermilab Booster [50]. That is why it is important to understand how they behave together with other factors of beam dynamics.…”

Section: Bunched Beamsmentioning

confidence: 99%

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Space charge effects for collective instabilities in circular machines

Burov

2022

Eur. Phys. J. Plus

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Section: Bunched Beamsmentioning

confidence: 99%

Section: Bunched Beamsmentioning

confidence: 99%

Space charge effects for collective instabilities in circular machines

Burov

2022

Eur. Phys. J. Plus

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“…Many other instability mechanisms have been identified over the past years by studying the interplays with other mechanisms, such as the coupled head-tail instability due to the destabilising effect of linear coupling [36] (and references therein), the destabilising effect of mode-coupling of colliding beams (beam-beam and impedance) [37], the destabilising effect of the interplay between Landau octupoles and beam-beam [38], the destabilising effect of noise [39], the destabilising effect of space charge [40] (and references therein), etc.…”

Section: Jinst 16 P10009mentioning

confidence: 99%

Wake field, impedance and collective instability

Métral¹

2021

J. Inst.

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The first mention of the impedance concept appeared on November 1966 in the CERN internal report Longitudinal instability of a coasting beam above transition, due to the action of lumped discontinuities by V.G. Vaccaro. Then, a more general treatment of it appeared in February 1967 in the CERN yellow report Longitudinal instabilities of azimuthally uniform beams in circular vacuum chambers of arbitrary electrical properties by A.M. Sessler and V.G. Vaccaro. The concept of wake field came two years later, in 1969, in the paper The wake field of an oscillating particle in the presence of conducting plates with resistive terminations at both ends by A.G. Ruggiero and V.G. Vaccaro. This was the beginning of many studies, which took place over the last five decades, and today, impedances and wake fields continue to be an important field of activity, as concerns theory, simulation, bench and beam-based measurements. Building a reliable impedance or wake field model of a machine is the first necessary step to be able to evaluate the machine performance limitations, identify the main contributors in case an impedance reduction is required, and study the interaction with other mechanisms such as optics nonlinearities, transverse damper, noise, space charge, electron cloud, beam-beam (in a collider), etc. Beam collective instabilities, and their mitigation, cover a wide range of effects in particle accelerators and they have been the subjects of intense research. As the machines performance was pushed new mechanisms were revealed and nowadays the challenge consists in studying the interplays between all these intricate phenomena, as it is very often not possible to treat the different effects separately. With the increasing power of our computers this becomes easier but the need to continue and develop theories remains, to have a better understanding of the interplays between all these effects: the subject of impedance and beam instabilities in particle accelerators is far from being exhausted, as testified by the many new instability and stabilizing mechanisms which have been recently explained or discovered. Furthermore, in the context of the studies for possible future accelerators, some uncharted territories remain such as, for instance, the collective instabilities during the necessary ionization cooling for a muon collider.

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“…The current challenge is to develop a fully self-consistent Vlasov solver for generalized impedances (without and with Landau damping). Many other instability mechanisms have been identified over the past years by studying the interplays with other mechanisms, such as the coupled head-tail instability due to the destabilising effect of linear coupling [36] (and references therein), the destabilising effect of mode-coupling of colliding beams (beam-beam and impedance) [37], the destabilising effect of the interplay between Landau octupoles and beam-beam [38], the destabilising effect of noise [39], the destabilising effect of space charge [40] (and references therein), etc.…”

Section: Impedance-induced Instabilitiesmentioning

confidence: 99%

Wake field, impedance and collective instability

Métral

2021

Preprint

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Longitudinal instability of a coasting beam above transition, due to the action of lumped discontinuities" by V.G. Vaccaro. Then, a more general treatment of it appeared in February 1967 in the CERN yellow report "Longitudinal instabilities of azimuthally uniform beams in circular vacuum chambers of arbitrary electrical properties" by A.M. Sessler and V.G. Vaccaro. The concept of wake field came two years later, in 1969, in the paper "The wake field of an oscillating particle in the presence of conducting plates with resistive terminations at both ends" by A.G. Ruggiero and V.G. Vaccaro. This was the beginning of many studies, which took place over the last five decades, and today, impedances and wake fields continue to be an important field of activity, as concerns theory, simulation, bench and beam-based measurements. Building a reliable impedance or wake field model of a machine is the first necessary step to be able to evaluate the machine performance limitations, identify the main contributors in case an impedance reduction is required, and study the interaction with other mechanisms such as optics nonlinearities, transverse damper, noise, space charge, electron cloud, beam-beam (in a collider), etc. Beam collective instabilities, and their mitigation, cover a wide range of effects in particle accelerators and they have been the subjects of intense research. As the machines performance was pushed new mechanisms were revealed and nowadays the challenge consists in studying the interplays between all these intricate phenomena, as it is very often not possible to treat the different effects separately. With the increasing power of our computers this becomes easier but the need to continue and develop theories remains, to have a better understanding of the interplays between all these effects: the subject of impedance and beam instabilities in particle accelerators is far from being exhausted, as testified by the many new instability and stabilizing mechanisms which have been recently explained or discovered. Furthermore, in the context of the studies for possible future accelerators, some uncharted territories remain such as, for instance, the collective instabilities during the necessary ionization cooling for a muon collider. K: Accelerator modelling and simulations (multi-particle dynamics, single-particle dynamics); Beam dynamics; Coherent instabilities.

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Description of beam instabilities in synchrotrons with wakefields and space charge forces using the circulant matrix model

Cited by 6 publications

References 16 publications

Space charge effects for collective instabilities in circular machines

Space charge effects for collective instabilities in circular machines

Wake field, impedance and collective instability

Wake field, impedance and collective instability

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