Self-consistent space charge tracking method based on lie transform
(2017) 8th International Particle Accelerator Conference, IPAC 2017 In IPAC 2017 - Proceedings of the 8th International Particle Accelerator Conference p.4454-4457- Abstract
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... (More)
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.
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- author
- Laface, E. LU and Müller, J. F.Esteban
- publishing date
- 2017-07-01
- type
- Chapter in Book/Report/Conference proceeding
- publication status
- published
- subject
- host publication
- IPAC 2017 - Proceedings of the 8th International Particle Accelerator Conference
- series title
- IPAC 2017 - Proceedings of the 8th International Particle Accelerator Conference
- pages
- 4 pages
- publisher
- JACoW Publishing
- conference name
- 8th International Particle Accelerator Conference, IPAC 2017
- conference location
- Bella Conference Center, Denmark
- conference dates
- 2017-05-14 - 2017-05-19
- external identifiers
-
- scopus:85119664841
- ISBN
- 9783954501823
- DOI
- 10.18429/JACoW-IPAC2017-THPVA019
- language
- English
- LU publication?
- no
- additional info
- Publisher Copyright: © 2017 CC-BY-3.0 and by the respective authors
- id
- 9beb37a9-8d06-45b7-989f-b16e94078617
- date added to LUP
- 2022-01-21 09:58:09
- date last changed
- 2022-03-11 22:50:29
@inproceedings{9beb37a9-8d06-45b7-989f-b16e94078617,
abstract = {{<p>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: H<sub>sc</sub> ≡ H<sub>sc</sub>(ρ(x, y, z)). This Hamiltonian is then used, together with the kinetic component H<sub>k</sub> in a Lie transform to generate a transport map by e<sup>-L:Hk+Hsc:</sup> where the Lie operator: H<sub>k</sub> + H<sub>sc</sub> : 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.</p>}},
author = {{Laface, E. and Müller, J. F.Esteban}},
booktitle = {{IPAC 2017 - Proceedings of the 8th International Particle Accelerator Conference}},
isbn = {{9783954501823}},
language = {{eng}},
month = {{07}},
pages = {{4454--4457}},
publisher = {{JACoW Publishing}},
series = {{IPAC 2017 - Proceedings of the 8th International Particle Accelerator Conference}},
title = {{Self-consistent space charge tracking method based on lie transform}},
url = {{http://dx.doi.org/10.18429/JACoW-IPAC2017-THPVA019}},
doi = {{10.18429/JACoW-IPAC2017-THPVA019}},
year = {{2017}},
}