TY - JOUR

T1 - Symplectic integrator for s-dependent static magnetic fields based on mixed-variable generating functions

AU - Wolski, A.

AU - Gratus, J.

AU - Tucker, R.

PY - 2012/4

Y1 - 2012/4

N2 - 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.

AB - 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.

KW - Accelerator modelling and simulations (multi-particle dynamics; single-particle dynamics)

KW - Beam dynamics

UR - http://www.scopus.com/inward/record.url?scp=84860540050&partnerID=8YFLogxK

U2 - 10.1088/1748-0221/7/04/P04013

DO - 10.1088/1748-0221/7/04/P04013

M3 - Journal article

VL - 7

SP - -

JO - Journal of Instrumentation

JF - Journal of Instrumentation

SN - 1748-0221

IS - 4

M1 - P04013

ER -