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

Volume

3

fYear

2001

fDate

2001

Firstpage

2078

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;

fLanguage

English

Publisher

ieee

Conference_Titel

Particle Accelerator Conference, 2001. PAC 2001. Proceedings of the 2001

Conference_Location

Chicago, IL

Print_ISBN

0-7803-7191-7

Type

conf

DOI

10.1109/PAC.2001.987282

Filename

987282