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TY - CONF
AU - Laface, E.
AU - Esteban Müller, J.F.
ED - Schaa, Volker RW
ED - Arduini, Gianluigi
ED - Pranke, Juliana
ED - Seidel, Mike
ED - Lindroos, Mats
TI - Self-consistent Space Charge Tracking Method based on Lie Transform
J2 - Proc. of IPAC2017, Copenhagen, Denmark, 14â19 May, 2017
C1 - Copenhagen, Denmark
T2 - International Particle Accelerator Conference
T3 - 8
LA - english
AB - In this paper we propose to describe the self-force of a particles beam, known as space charge, as an Hamiltonan term dependent on the distribution of the particles' coordinates: H_{sc} = H_{sc}(ρ(x,y,z)). This Hamiltonian is then used, together with the kinetic component H_{k} in a Lie transform to generate a transport map by e^{-L:H_{k} +H_{sc}:} where the Lie operator :H_{k} + H_{sc}: 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.
PB - JACoW
CP - Geneva, Switzerland
SP - 4454
EP - 4457
KW - space-charge
KW - simulation
KW - proton
KW - sextupole
KW - emittance
DA - 2017/05
PY - 2017
SN - 978-3-95450-182-3
DO - 10.18429/JACoW-IPAC2017-THPVA019
UR - http://jacow.org/ipac2017/papers/thpva019.pdf
ER -