2021
DOI: 10.1088/1748-0221/16/03/p03050
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On the possibility of footprint compression with one lens in nonlinear accelerator lattice

Abstract: Electromagnetic interaction of colliding beams along with other nonlinear fields often limits the beams' lifetimes and luminosities. Nonlinearities result in the spread of betatron frequencies (footprint) and, thus, may enhance dynamic diffusion of particles due to high order resonances. One of the possible ways to eliminate nonlinearities and overcome the corresponding difficulties is compensation of nonlinear forces, but, in practice, it is hardly possible to obtain exact linearity of the syste… Show more

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Cited by 4 publications
(4 citation statements)
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“…Besides discussions on the practical issues of the Tevatron beam-beam compensation and electron lens technology, the Workshop established very fruitful collaborative ties which have greatly expanded since. Several interesting new concepts were presented there, too, including plasma-suppression of beam-beam interaction, most practical at the interaction point of muon colliders [46], and the possibility of improved (more stable) beam dynamics in accelerator focusing lattices with a single nonlinear electron lens [47].…”
Section: S: Original Conceptual Developmentsmentioning
confidence: 99%
“…Besides discussions on the practical issues of the Tevatron beam-beam compensation and electron lens technology, the Workshop established very fruitful collaborative ties which have greatly expanded since. Several interesting new concepts were presented there, too, including plasma-suppression of beam-beam interaction, most practical at the interaction point of muon colliders [46], and the possibility of improved (more stable) beam dynamics in accelerator focusing lattices with a single nonlinear electron lens [47].…”
Section: S: Original Conceptual Developmentsmentioning
confidence: 99%
“…A breakthrough in the study of dynamical systems was the realization that nonlinear integrable optics (NIO) can be implemented in an accelerator with certain lattice symmetries using special magnets or electron lenses [2][3][4][5][33][34][35][36]. The design and first experimental results using nonlinear magnets in IOTA are described in refs.…”
Section: Nonlinear Integrable Opticsmentioning
confidence: 99%
“…[15]. The McMillan lens [16] is another device that can be used to reduce the space charge induced tune spread. It is attractive theoretically in that, properly placed, it does not break integrability of the system, but it imposes severe constraints on the 2021 JINST 16 P03045 layout of the beamline.…”
Section: Introductionmentioning
confidence: 99%