Computing transfer functions of multipole devices directly from magnetic field data, including fringe field effects and higher order aberrations

Author

Trines, R.M.G.M. ; Botman, J.I. ; van Eijndhoven, S.J.L. ; Hagedoo, H.L. ; Schep, T.J.

Author_Institution

Dept. of Math. & Comput. Sci., Eindhoven Univ. of Technol., Netherlands

Volume

3

fYear

1999

fDate

1999

Firstpage

1539

Abstract

The scalar and vector potentials of a magnetic multipole device are described in terms of magnetic field measurements gathered on either a cylindrical surface or a median plane. Fringe field effects and multipole contributions of arbitrary order, as well as the discrete nature of the field measurements, are taken into account. This description has been used to calculate the transfer function of the device, directly in terms of the field measurements. The method as described in this paper can be applied to single beam guiding elements as well as to clusters of elements, and can be extended to calculate the transfer function for a complete beam line setup or a storage ring. The accuracy of the results is only limited by the accuracy of the field measurements

Keywords

aberrations; particle beam diagnostics; storage rings; transfer functions; beam line setup; cylindrical surface; fringe field effects; higher order aberrations; magnetic field data; magnetic field measurements; median plane; multipole devices; scalar potentials; single beam guiding elements; storage ring; transfer functions; vector potentials; Boundary conditions; Current measurement; Electromagnetic measurements; Magnetic devices; Magnetic field measurement; Magnetic fields; Maxwell equations; Physics; Storage rings; Transfer functions;

fLanguage

English

Publisher

ieee

Conference_Titel

Particle Accelerator Conference, 1999. Proceedings of the 1999

Conference_Location

New York, NY

Print_ISBN

0-7803-5573-3

Type

conf

DOI

10.1109/PAC.1999.794160

Filename

794160