Analytic Estimation of the Non-Linear Tune Shift due to the Quadrupole Magnet Fringe Field

Details Analytic Estimation of the Non-Linear Tune Shift due to the Quadrupole Magnet Fringe Field Analytic Estimation of the Non-Linear Tune Shift due to the Quadrupole Magnet Fringe Field

2009-03-17

arxiv.org/abs/0903.3028v1

Physics

Accelerator Physics

Latex, 10 pages, 5 Enc. PostScript figures, 3 tables. Russian text: http://www.inp.nsk.su/activity/preprints/files/2000_014.pd

Scientific paper

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.

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