Analytical estimation of the dynamic apertures of circular accelerators

Author

Gao, J.

Author_Institution

Lab. de l´´Accel. Lineaire, Orsay, France

Volume

3

fYear

2001

fDate

2001

Firstpage

1799

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;

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.2001.987187

Filename

987187