Title :
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
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;
Conference_Titel :
Particle Accelerator Conference, 1999. Proceedings of the 1999
Conference_Location :
New York, NY
Print_ISBN :
0-7803-5573-3
DOI :
10.1109/PAC.1999.794160
