NAPAC25 - North American Particle Accelerator Conference 2025

Explicit symplectic representations of nonlinear dipole fringe field maps

TUP040

12 Aug 2025, 16:00

2h

SAFE Credit Union Convention Center

Poster Presentation MC5 – Beam Dynamics and EM Fields TUP: Tuesday Poster Session

Speaker

Chad Mitchell (Lawrence Berkeley National Laboratory)

Description

The representation of beam transport through magnetic dipole fringe fields using effective "thin" maps has a long history. More recent work has extended the second-order Taylor model of Brown by providing Lie generators for symplectic maps that capture effects at higher order, expressed in terms of field integrals. These maps can be cumbersome to evaluate in an explicit symplectic form appropriate for particle tracking codes, and existing approaches often require additional approximations. We show how such maps can be recovered in a simple, explicit form as rational symplectic functions using a mixed-variable generating function approach.

Funding Agency

This work was was supported by the Director, Office of Science, Office of High Energy Physics, of the U.S. Department of Energy under Contract No. DE-AC02-05CH11231.