Space charge resonances in two and three dimensional anisotropic beams

I Hofmann, G Franchetti, O Boine-Frankenheim… - Physical Review Special …, 2003 - APS
The theory and simulation of coherent resonant coupling due to space charge in coasting or
bunched anisotropic equilibrium beams is presented. Our work confirms that analytical
results on coherent oscillations and instabilities of anisotropic KV (Kapchinskij-Vladimirskij)
distributions are a valid tool to interpret the findings from 2D and 3D self-consistent particle-
in-cell simulations for both KV and waterbag distributions. With reference to rings we discuss
space charge coherent tune shifts up to fourth order and introduce a coherent coupled mode …

[引用][C] Space charge resonances in two and three dimensional anisotropic beams

RD Ryne - Physical Review Special Topics-Accelerators and …, 2002
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