Space charge effects in diluted beam

A.A. Mikhailichenko
Proceedings of the 1999 Particle Accelerator Conference (Cat. No.99CH36366)  
For the particle acceleration with a laser-based source, the beams with particle's population required around one million only. The length of the bunch of the order of a micrometer yields such spacing between the particles, that the pancakes of the electromagnetic fields of individual particles are not overlapped at the cross section of the bunch. The space charge effects in this diluted beam considered. A comparison made with usual formula for betatron tune shift in self-field.
doi:10.1109/pac.1999.792395 fatcat:4gmar33c6vhp7fwzdddqnekjbu