Cumulative beam breakup in linear accelerators with time-dependent parameters

Physics

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Beam Dynamics, Collective Effects And Instabilities, Charged-Particle Beams, Waves, Oscillations, And Instabilities In Plasmas And Intense Beams

Scientific paper

A formalism presented in a previous paper for the analysis of cumulative beam breakup (BBU) with arbitrary time dependence of the beam current and with misalignment of the cavities and focusing elements [J. R. Delayen, Phys. Rev. ST Accel. Beams62003084402] is extended to include time dependence of the focusing and coupling between the beam and the dipole modes. Such time dependence, which could result from an energy chirp imposed on the beam or from rf focusing, is known to be effective in reducing BBU-induced instabilities and emittance growth. The analytical results are presented and applied to practical accelerator configurations and compared to numerical simulations.

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