Rigorous formulation of space-charge wake function and impedance by solving the three-dimensional Poisson equation
Abstract In typical numerical simulations, the space-charge force is calculated by slicing a beam into many longitudinal segments and by solving the two-dimensional Poisson equation in each segment. This method neglects longitudinal leakage of the space-charge force to nearby segments owing to its l...
Main Authors: | , |
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Format: | Article |
Language: | English |
Published: |
Nature Publishing Group
2018-08-01
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Series: | Scientific Reports |
Online Access: | https://doi.org/10.1038/s41598-018-30960-2 |