2004
DOI: 10.1007/978-3-642-55872-6_36
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Fast Calculation of Space Charge in Beam Line Tracking by Multigrid Techniques

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Cited by 14 publications
(14 citation statements)
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“…Simulations using the GPT code [118,119] revealed that under realistic conditions, an order of magnitude gain in resolution can be achieved when the space-charge shift is properly corrected for [116]. The simulation Fig.…”
Section: Momentum Microscopy Towards Higher Energiesmentioning
confidence: 99%
“…Simulations using the GPT code [118,119] revealed that under realistic conditions, an order of magnitude gain in resolution can be achieved when the space-charge shift is properly corrected for [116]. The simulation Fig.…”
Section: Momentum Microscopy Towards Higher Energiesmentioning
confidence: 99%
“…Although the initial conditions, the cavity fields, and the solenoids are all cylindrically symmetric, space-charge forces still need to be calculated in 3D to obtain tolerances on misalignment and the effect of nonuniform emission from the cathode. This is challenging for high aspect-ratio bunches, and numerical instabilities are overcome with a tailor made 3D anisotropic multigrid Poisson solver with adaptive meshing based on bunch charge density, as described in detail in [19]. The effect of image charges can be included for a flat cathode, but not in the curved cathode case due to limitations of the multigrid space-charge model.…”
Section: J De Loos Et Almentioning
confidence: 99%
“…The solenoids are modeled by a 4th order off-axis Taylor expansion from the analytical expression for the on-axis field. The effect of space-charge is accounted for by a Particle In Cell (PIC) method based on a 3-dimensional anisotropic multigrid Poisson solver, tailor made for bunches with extreme aspect ratio's [17,18]. Image charges are taken into account by a Dirichlet boundary condition at the cathode.…”
mentioning
confidence: 99%