Title :
Analytical investigation on the dynamic apertures of circular accelerators
Author_Institution :
LAL, Orsay, France
Abstract :
In this paper by considering delta function sextupole and octupole perturbations and using difference action-angle variable equations, analytical formulae for the dynamic aperture of circular accelerators are derived based on the Chirikov criterion of the onset of stochastic motions
Keywords :
difference equations; electron accelerators; particle beam dynamics; particle beam stability; proton accelerators; stochastic processes; storage rings; Chirikov criterion; circular accelerators; delta function; difference action-angle variable equations; dynamic aperture; electron storage ring; octupole; proton storage ring; sextupole; stochastic motion; Acceleration; Apertures; Difference equations; Differential equations; Fasteners; Motion analysis; Nonlinear equations; Particle accelerators; Protons; Stochastic resonance;
Conference_Titel :
Particle Accelerator Conference, 1999. Proceedings of the 1999
Conference_Location :
New York, NY
Print_ISBN :
0-7803-5573-3
DOI :
10.1109/PAC.1999.794269
