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Emanuele Laface

Visiting research fellow

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Self-consistent space charge tracking method based on lie transform

Author

  • E. Laface
  • J. F.Esteban Müller

Summary, in English

In this paper we propose to describe the self-force of a particles beam, known as space charge, as a Hamiltonian term dependent on the distribution of the particles' coordinates: Hsc ≡ Hsc(ρ(x, y, z)). This Hamiltonian is then used, together with the kinetic component Hk in a Lie transform to generate a transport map by e-L:Hk+Hsc: where the Lie operator: Hk + Hsc : is defined according to the Dragt's notation [1]. Then the Lie transform is used to transport directly the distribution function ρ(x, y, z) in a self-consistent iterative algorithm. The result of this proof-of-concept idea is verified on a drift space and on a FODO channel and compared with a traditional multi-particles simulation code.

Publishing year

2017-07-01

Language

English

Pages

4454-4457

Publication/Series

IPAC 2017 - Proceedings of the 8th International Particle Accelerator Conference

Document type

Conference paper

Publisher

JACoW Publishing

Topic

  • Accelerator Physics and Instrumentation

Conference name

8th International Particle Accelerator Conference, IPAC 2017

Conference date

2017-05-14 - 2017-05-19

Conference place

Bella Conference Center, Denmark

Status

Published

ISBN/ISSN/Other

  • ISBN: 9783954501823