IPAC'24 - 15th International Particle Accelerator Conference

Classification of potentials for self consistent symplectic space charge

MOPS07

20 May 2024, 16:00

2h

Blues (MCC Exhibit Hall A)

Poster Presentation MC5.D02 Nonlinear Single Particle Dynamics Resonances, Tracking, Higher Order, Dynamic Aperture, Code Developments Monday Poster Session

Speaker

Emanuele Laface (European Spallation Source ERIC)

Description

A general theory of symplectic tracking under the influence of space charge force is not yet available, even if some specific solution was proposed [1, 2]. In this paper we will first review how the pull-back of the Lie transform can be used to self-transport the beam distribution and its associated electromagnetic potential under the effect of the space-charge. We will then classify the functions suitable for an iterative algorithm with the Lie transform. Those functions will be used to describe the electromagnetic potential of the space charge.

Footnotes

[1] J. Qiang, “Symplectic multiparticle tracking model for self-consistent space-charge simulation,” Physical Review Accelerators and Beams, vol. 20, no. 1, p. 014203, 2017.
[2] E. Laface and J. Esteban Müller, “Self-consistent space charge tracking method based on lie transform,” in 8th Int. Particle Accelerator Conf., Copenhagen, Denmark, 2017, pp. 4454–4457.