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

E. Levichev; P. Piminov

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arXiv · 0903.3028

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

E. Levichev·P. Piminov

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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.

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E. Levichev, P. Piminov. 2009-03-17. Analytic Estimation of the Non-Linear Tune Shift due to the Quadrupole Magnet Fringe Field. https://arxiv.org/abs/0903.3028

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