Analytic Estimation of the Non-Linear Tune Shift due to the Quadrupole Magnet Fringe Field
Accelerator Physics
2009-03-18 v1
Abstract
Analytic expressions for the amplitude-dependent tune shift driven by the quadrupole magnet fringe field have been obtained. The magnitude of the effect is compared with other sources of non-linearity such as chromatic sextupoles, octupole errors of the main quadrupole magnetic field and kinematic terms. A numerical example was the calculation on the lattice of the VEPP-4M e+e- collider.
Keywords
Cite
@article{arxiv.0903.3028,
title = {Analytic Estimation of the Non-Linear Tune Shift due to the Quadrupole Magnet Fringe Field},
author = {E. Levichev and P. Piminov},
journal= {arXiv preprint arXiv:0903.3028},
year = {2009}
}
Comments
Latex, 10 pages, 5 Enc. PostScript figures, 3 tables. Russian text: http://www.inp.nsk.su/activity/preprints/files/2000_014.pdf