Title :
Analytical estimation of the dynamic apertures of circular accelerators
Author_Institution :
Lab. de l´´Accel. Lineaire, Orsay, France
Abstract :
By considering delta function multipole perturbations and using difference action-angle variable equations, we find some useful analytical formulae for the estimation of the corresponding dynamic apertures of circular accelerators based on the Chirikov criterion of the onset of stochastic motions. Their combined effects and two dimensional dynamic apertures are discussed also. Comparisons with numerical simulations are made, and the agreement is quite satisfactory
Keywords :
beam handling equipment; difference equations; particle beam dynamics; particle optics; perturbation theory; stochastic processes; storage rings; Chirikov criterion; chromaticity corrections; circular accelerators; delta function multipole perturbations; difference action-angle variable equations; dynamic apertures; dynamic lifetime; nonlinear element; numerical simulations; single sextupole; stochastic motions; storage ring limit; Acceleration; Apertures; Difference equations; Differential equations; Magnetic analysis; Magnetic fields; Motion analysis; Motion estimation; Numerical simulation; Storage rings;
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.2001.987187
