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Beam Break-Up with Tune-Chirp for an Arbitrary Wakefield


The asymptotic form of the beam break-up instability is computed up to quadrature for an arbitrary wakefield, in the presence of a linear variation in betatron tune from head to tail along the beam. For illustration, the result is applied to a broadband impedance (resistive wall) and a narrow-band impedance (single resonator), and benchmarked against simulation, for parameters of interest in induction linacs.

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