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arXiv · 2203.09259

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

E. Waagaard·V. Ziemann
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Abstract

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.

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E. Waagaard, V. Ziemann. 2022-03-17. Emittance growth of kicked and mismatched beams due to amplitude-dependent tune shift. https://doi.org/10.1103/physrevaccelbeams.25.054001

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