2004
DOI: 10.1109/tmag.2004.825415
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Multigrid Algorithms for the Fast Calculation of Space-Charge Effects in Accelerator Design

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Cited by 47 publications
(28 citation statements)
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“…It provides full 3D particle tracking and allows beam line components to be arbitrarily positioned and oriented. SC effects are treated with the model described in [20] but can be switched off to simulate purely ballistic propagation. In this part of the simulations we neglect the defocusing originating from the exit holes, in order to analyze the effect of bunching with and without SC.…”
Section: Simulations Of Dc-ac Accelerationmentioning
confidence: 99%
“…It provides full 3D particle tracking and allows beam line components to be arbitrarily positioned and oriented. SC effects are treated with the model described in [20] but can be switched off to simulate purely ballistic propagation. In this part of the simulations we neglect the defocusing originating from the exit holes, in order to analyze the effect of bunching with and without SC.…”
Section: Simulations Of Dc-ac Accelerationmentioning
confidence: 99%
“…Mostly they represent highly idealized distributions, important for basic physical understanding, but remote from actual conditions. In accelerator physics uniform 3D ellipsoids are used nowadays to benchmark Poisson solvers [4] and to quickly estimate the effect of space-charge forces in beam lines [5].…”
Section: How To Realize Uniform Three-dimensional Ellipsoidal Electromentioning
confidence: 99%
“…Instead, an iterative Multigrid solver, with numerical effort comparable to equidistant FFT methods, has been implemented similar to the one discussed in detail by Pöeplau [11]. After the calculation of the self-field is attained, a standard fourth-order Runge Kutta scheme is used to integrate the relativistic equations for the particle trajectories [12].…”
Section: Particle Modelmentioning
confidence: 99%