Title :
Stationary relativistic bunch in space-charge-dominated regime
Author :
Batygin, Yuri K.
Author_Institution :
Linear Accel. Center, Stanford Univ., CA, USA
Abstract :
The self-consistent treatment of a space-charge-dominated beam is generalized for the case of a relativistic bunch. Analytical derivations are performed in the limit of a high brightness beam. The shape of the stationary bunch profile as well as expression for the space charge limited beam current are derived. The applicability of a wellknown ellipsoidal model for the bunched beam in an RF field is discussed
Keywords :
accelerator RF systems; beam handling techniques; particle beam bunching; particle beam dynamics; particle beam extraction; particle beam focusing; RF accelerator; accelerating field; beam emittance; distribution function; ellipsoidal model; emittance conservation; external focusing; halo formation; high brightness beam; radiofrequency field; self-consistent treatment; space charge limited beam current; space-charge-dominated regime; stationary bunch profile shape; stationary relativistic bunch; Acceleration; Brightness; Distribution functions; Particle accelerators; Particle beams; Plasma density; Poisson equations; Radio frequency; Shape; Space charge;
Conference_Titel :
Particle Accelerator Conference, 2001. PAC 2001. Proceedings of the 2001
Conference_Location :
Chicago, IL
Print_ISBN :
0-7803-7191-7
DOI :
10.1109/PAC.2001.988012
