Emittance growth of kicked and mismatched beams due to amplitude-dependent tune shift
arXiv:2203.09259 · doi:10.1103/PhysRevAccelBeams.25.054001
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.
24 pages, 5 figures