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Periodic magnetic structures (wigglers) have been successfully used for a long time for controlling beam parameters in charged-particle storage rings for various purposes (including the reduction of emittance). In this work, we optimize the optical functions of the storage ring gap into which a wiggler is installed for a more effective reduction of the emittance. Optimal solutions are obtained for the first time for FODOtype and theoretical minimum emittance (TME) structures. An original method is proposed for suppressing the contribution of the wiggler fields to the radiation excitation of the phase volume of the beam by modulating the field period along the wiggler axis. [ABSTRACT FROM AUTHOR]

We derive the equation connecting the final equilibrium radius of a paraxial azimuth-symmetrical relativistic electron beam propagating in the ion focusing regime with its initial nonequilibrium value. The dependence of the final equilibrium radius and the increment of the rms emittance on the density of the scattering background medium is analyzed. [ABSTRACT FROM AUTHOR]

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. [ABSTRACT FROM AUTHOR]

A diagnostic device is described for estimating the beam emittance per pulse (for pulse durations from 1 µs up to a continuous beam) for ion beams of circular cross section with currents from a few milliamperes to hundreds of milliamperes and energies of 10 keV and higher. [ABSTRACT FROM AUTHOR]