Nonlinear damping of injection oscillations

Author

Zhabitsky, V.M.

Author_Institution

JINR, Dubna, Russia

Volume

2

fYear

1999

fDate

1999

Firstpage

1222

Abstract

The theory of a transverse feedback system with a nonlinear regime of injection oscillations damping in circular accelerators and colliders is described. For this feedback loop the dependence between the kick value in the deflector and the beam deviation at the pick-up location is a nonlinear function. The beam dynamic nonlinear equation of the transverse coherent motion for deviation from the closed orbit has been solved using the approximation procedure based on the Krylov-Bogoliubov method for nonlinear differential equations. Approximate expressions for damping time and beam oscillation amplitude are analysed for different nonlinear transfer functions

Keywords

colliding beam accelerators; cyclic accelerators; nonlinear differential equations; particle beam dynamics; particle beam injection; particle beam stability; Krylov-Bogoliubov method; beam deviation; beam dynamic nonlinear equation; beam oscillation amplitude; circular accelerators; closed orbit; colliders; deflector; injection oscillations; kick value; nonlinear damping; nonlinear differential equations; nonlinear transfer functions; pickup location; transverse coherent motion; transverse feedback system; Colliding beam accelerators; Damping; Difference equations; Differential equations; Ear; Feedback loop; Linear accelerators; Nonlinear equations; Power amplifiers; Transfer functions;

fLanguage

English

Publisher

ieee

Conference_Titel

Particle Accelerator Conference, 1999. Proceedings of the 1999

Conference_Location

New York, NY

Print_ISBN

0-7803-5573-3

Type

conf

DOI

10.1109/PAC.1999.795502

Filename

795502