Darmstadt 2016 – scientific programme

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AKBP: Arbeitskreis Beschleunigerphysik

AKBP 10: Beam Dynamics / Simulation II

AKBP 10.7: Talk

Wednesday, March 16, 2016, 18:00–18:15, S1/05 122

Realistic ion optical transfer maps for Super-FRS magnets from numerical field data — •Erika Kazantseva and Oliver Boine-Frankenheim — Schlossgartenstr.8, Technische Universität Darmstadt

In large aperture accelerators such as Super-FRS, the non-linearity of the magnetic field in bending elements leads to the non-linear beam dynamics, which cannot be described by means of linear ion optics. Existing non-linear approach is based on the Fourier harmonics formalism and is not working if horizontal aperture is bigger as vertical or vice versa. In Super-FRS dipole the horizontal aperture is much bigger than the vertical. Hence, it is necessary to find a way to create the higher order transfer map for this dipole to accurately predict the particle dynamics in the realistic magnetic fields in the whole aperture.

The aim of this work is to generate an accurate high order transfer map of magnetic elements from measured or simulated 3D magnetic field data. Using differential algebraic formalism allows generating transfer maps automatically via numerical integration of ODEs of motion in beam physics coordinates along the reference path. To make the transfer map accurate for all particles in the beam, the magnetic field along the integration path should be represented by analytical function, matching with the real field distribution in the volume of interest. Within this work the steps of high order realistic transfer map production starting from the field values on closed box, covering the volume of interest, will be analyzed in detail.