Particle Tracking Studies Using Dynamical Map Created from Finite Element Solution of the EMMA Cell

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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Abstract

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
Related URLs:	Author Conference Publisher
Depositing User:	Thomas Edgecock
Date Deposited:	15 Jul 2014 14:23
Last Modified:	28 Aug 2021 19:03
URI:	http://eprints.hud.ac.uk/id/eprint/21165

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