Stability Regimes in a Rotating Quadrupole Focusing Accelerator (original) (raw)

This study investigates the stability regimes within a rotating quadrupole focusing accelerator, focusing particularly on the interactions of an externally imposed rotating quadrupole field with the transverse motion of a relativistic electron beam. By analyzing the dynamics of electromagnetic waveguide modes and deriving a simplified dispersion relation, the research identifies two physically distinct three-wave unstable regimes, two stable regimes, and a particle orbit unstable regime. Analytical conditions and growth rates for these instabilities are presented, with numerical results validating the analytical expressions and exploring the implications for accelerator performance.