Title :
Macroscopic fluid approach to the coherent beam-beam interaction
Author :
Tzenov, Stephan I. ; Davidson, Ronald C.
Author_Institution :
Plasma Phys. Lab., Princeton Univ., NJ, USA
Abstract :
Building on the Radon transform of the Vlasov-Poisson equations, a macroscopic fluid model for the coherent beam-beam interaction has been developed. It is shown that the Vlasov equation, expressed in action-angle variables, can be reduced to a closed set of hydrodynamic (fluid) equations for the beam density and current velocity. The linearized one-dimensional equations have been analysed, and explicit expressions for the coherent beam-beam tuneshifts are presented
Keywords :
Poisson equation; Radon transforms; Vlasov equation; colliding beam accelerators; particle beam dynamics; particle beam stability; Radon transform; Vlasov-Poisson equations; action-angle variables; beam density; beam-beam resonance; coherent beam-beam interaction; coherent beam-beam tuneshifts; colliding-beam storage ring device; current velocity; electromagnetic force; hydrodynamic equations; linearized one-dimensional equations; macroscopic fluid approach; Distribution functions; Hydrodynamics; Laboratories; Nonlinear equations; Particle beams; Physics; Plasmas; Resonance; Storage rings; Transforms;
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.2001.987282
