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Emittance growth of kicked and mismatched beams due to amplitude-dependent tune shift

We derive evolution equations for the first and second moments of an initially mismatched, coupled, and displaced arbitrary Gaussian phase-space distribution under the influence of decoherence due to amplitude-dependent tune shift. Moreover, we find expressions for the asymptotic values of the beam matrix and the emittance and use them to evaluate error tolerances for injection.

preprint2022arXivOpen access
E. WaagaardV. Ziemann
physics.acc-ph
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E. WaagaardV. Ziemann

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