Giboudot, Y., Edgecock, R., Khan, A and Wolski, A. (2009) Particle Tracking Studies Using Dynamical Map Created from Finite Element Solution of the EMMA Cell. In: Proceedings of the 23rd Particle Accelerator Conference. PAC09 . JACoW, Vancouver, British Columbia, Canada, pp. 3290-3292.
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Available under License Creative Commons Attribution.
The unconventional size and the possibility of transverse displacement of the magnets in the EMMA non-scaling FFAG motivates a careful study of particle behavior within the EMMA ring. The magnetic field map of the doublet cell is computed using a Finite Element Method solver; particle motion through the field can then be found by numerical integration, using (for example) OPERA, or ZGOUBI. However, by obtaining an analytical description of the magnetic field (by fitting a Fourier-Bessel series to the numerical data) and using a differential algebra code, such as COSY, to integrate the equations of motion, it is possible to produce a dynamical map in Taylor form. This has the advantage that, after once computing the dynamical map, multi-turn tracking is far more efficient than repeatedly performing numerical integrations. Also, the dynamical map is smaller (in terms of computer memory) than the full magnetic field map; this allows different configurations of the lattice, in terms of magnet positions, to be represented very easily using a set of dynamical maps, with interpolation between the coefficients in different maps*.
|Item Type:||Book Chapter|
|Subjects:||Q Science > QC Physics|
|Schools:||School of Applied Sciences|
|Depositing User:||Thomas Edgecock|
|Date Deposited:||15 Jul 2014 14:23|
|Last Modified:||02 Dec 2016 17:24|
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