Abstract
Dispersion dilution of the beam emittance in a linear accelerator due to the initial uncorrelated spread of the particle energy in a bunch is considered. Both coherent beam oscillations and the case of the disturbed central trajectory and its local correction are treated. Emphasis is given to the analytic description of the dispersion dilution of the beam emittance. Exact analytic expressions derived for the emittance evolution along the accelerator are strengthened by the numerical simulation of particle tracks in the main linear accelerator of the future electron-positron collider.
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