12,000

We have over 12,000 students, from over 100 countries, within one of the safest campuses in the UK

93%

93% of Lancaster students go into work or further study within six months of graduating

Home > Research > Publications & Outputs > Symplectic integrator for s-dependent static ma...
View graph of relations

« Back

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

Research output: Contribution to journalJournal article

Published

Article numberP04013
Journal publication date04/2012
JournalJournal of Instrumentation
Journal number4
Volume7
Number of pages20
Pages-
Original languageEnglish

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.