Cumulative beam breakup in linear accelerators with random displacement of cavities and focusing elements

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 with arbitrary time dependence of the beam current [

J. R. Delayen, Phys. Rev. ST Accel. BeamsPRABFM1098-4402 6, 084402 (2003)10.1103/PhysRevSTAB.6.084402
] is applied to the problem of beam breakup in the presence of random displacements of cavities and focusing elements. A closed-form solution is obtained and is applied to the behavior of a single bunch and to the steady-state and transient behavior of dc beams and beams composed of pointlike bunches.

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