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 1748-0221Full text not available from this repository.
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.
|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:||Faculty of Science and Technology > Physics|
|Deposited On:||25 Jun 2012 09:47|
|Last Modified:||26 Jul 2012 20:37|
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