Title :
Transverse Instability of a Rectangular Bunch
Author_Institution :
FNAL, Batavia, IL 60510, USA
Abstract :
Transverse instability of a rectangular bunch is investigated. Known theory of bunched beam instability is modified to take into account 100% spread of synchrotron frequency. Series of equations adequately describing the instability is derived and solved analytically and numerically. The theory is applied to the Fermilab Recycler Ring.
Keywords :
Azimuth; Distribution functions; Frequency; Impedance; Integral equations; Nonlinear equations; Optical coupling; Shape; Shock absorbers; Synchrotrons;
Conference_Titel :
Particle Accelerator Conference, 2005. PAC 2005. Proceedings of the
Print_ISBN :
0-7803-8859-3
DOI :
10.1109/PAC.2005.1591218
