Physical Review Accelerators and Beams (Jun 2022)

Effects of beam spinning on the fourth-order particle resonance of 3D bunched beams in high-intensity linear accelerators

  • Yoo-Lim Cheon,
  • Seok-Ho Moon,
  • Moses Chung,
  • Dong-O Jeon

DOI
https://doi.org/10.1103/PhysRevAccelBeams.25.064002
Journal volume & issue
Vol. 25, no. 6
p. 064002

Abstract

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The aim of this study is to make the parameter space of zero-current phase advance greater than 90° available to the high-intensity linear accelerator (linac) design and operation, which has been excluded to avoid the envelope instabilities and particle resonances. The earlier study of Cheon et al. [Nucl. Instrum. Methods Phys. Res., Sect. A 1013, 165647 (2021)NIMAER0168-900210.1016/j.nima.2021.165647] reported that the spinning of ion beams can mitigate the fourth-order particle resonance and the associated envelope instability in high-intensity linacs. In the present work, we further investigate the effects of beam spinning on the fourth-order particle resonance in the case of 3D bunched beams with fast acceleration. We also explore the space-charge-driven resonance in the longitudinal plane and confirm that the fourth-order particle resonance can be manifested when the longitudinal zero-current phase advance σ_{z0} is larger than 90° and the depressed phase advance σ_{z} is less than 90°, similar to the transverse case. The beam spinning effects are examined in both transverse and longitudinal planes during beam acceleration through periodic solenoid and quadrupole-doublet focusing channels.