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Symplectic integrator for s-dependent static magnetic fields based on mixed-variable generating functions

Wolski, A. and Gratus, J. and Tucker, R. (2012) Symplectic integrator for s-dependent static magnetic fields based on mixed-variable generating functions. Journal of Instrumentation, 7 (4). -. ISSN 1748-0221

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Abstract

We describe a technique for constructing a symplectic transfer map for a charged particle moving through an accelerator component with arbitrary three-dimensional static magnetic field. The transfer map is constructed by symplectic integration; by representing the map at each step of the integration by a mixed-variable generating function, exact symplecticity is ensured. By using an appropriate integration algorithm, there is no necessity to make the paraxial approximation. The technique is illustrated by application (in one degree of freedom) to a quadrupole magnet with strong octupole component and fringe field.

Item Type: Article
Journal or Publication Title: Journal of Instrumentation
Uncontrolled Keywords: Accelerator modelling and simulations (multi-particle dynamics; single-particle dynamics) ; Beam dynamics
Subjects: Q Science > QC Physics
Departments:
ID Code: 55341
Deposited By: ep_importer_pure
Deposited On: 25 Jun 2012 09:47
Refereed?: Yes
Published?: Published
Last Modified: 23 Jul 2014 15:00
Identification Number:
URI: http://eprints.lancs.ac.uk/id/eprint/55341

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