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G. Longitudinal space charge - Theory vs. Simulation

Longitudinal space charge fields have been calculated theoretically and numerically with distributions of energy 15MeV and charge $ Q=-0.25$nC. The notation $ sr$ on the plots stands for $ \sigma_r$, the radial bunch length standard deviation. Black dashed line are theoretical fields, as opposed to colored lines. A total of $ N\{x,y,z\}f=64$ grids in each directions was used, including $ N\{x,y,z\}0=17$ grids on each side for the boundary conditions.


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Emmanuel Branlard