Abstract
We use the single-particle radial equation of motion to identify nonlinear forces which lead to an emittance growth in a focusing channel consisting of solenoids. For a uniform density beam, the two dominant effects are the axial velocity variations within a solenoid due to the particles' azimuthal velocity and changes in the particle's energy due to radial motion and the radial electric space-charge field. We derive estimates for the emittance growth for a space-charge dominated beam due to these effects, both for the case of a hard focus to a small beam waist and for the case where there is gentle beam scalloping. We also briefly catalog less important emittance growth mechanisms.
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Disclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.