| Title |
Typology of Space Charge Resonances |
| Authors |
- I. Hofmann
GSI, Darmstadt, Germany
|
| Abstract |
The existence of structural space charge resonant effects in otherwise linear periodic focusing systems is well-known, but referred to in a variety of languages and contexts. We show here that for short bunched beams a ‘‘classification'' in two major groups is possible, e.g. parametric resonances or instabilities on the one hand and single particle type space charge resonances on the other hand. The primary feature of distinction is that for the former the driving space charge force initially exists on the noise level (rms or higher order mismatch) only and gets amplified parametrically, hence an entirely coherent response; for the latter the driving space charge multipole is part of the initial density profile and the coherent response is weak. In the extreme limit of KV beams only parametric resonances (instabilities) exist, and in principle in all orders. For waterbag or Gaussian distributions we find half-integer parametric resonances only up to fourth order, but evidence for single particle resonances in all orders up to tenth have been identified.
|
| Paper |
download THPM1X01.PDF [0.741 MB / 5 pages] |
| Slides |
download THPM1X01_TALK.PDF [3.094 MB] |
| Conference |
HB2016, Malmö, Sweden |
| Series |
ICFA Advanced Beam Dynamics Workshop on High-Intensity and High-Brightness Hadron Beams (57th) |
| Proceedings |
Link to full HB2016 Proccedings |
| Session |
Working Group A - Session 6 |
| Date |
07-Jul-16 14:00–15:40 |
| Main Classification |
Beam Dynamics in Rings |
| Keywords |
resonance, space-charge, emittance, lattice, focusing |
| Publisher |
JACoW, Geneva, Switzerland |
| Editors |
Mohammad Eshraqi (ESS, Lund, Sweden); Garry Trahern (ESS, Lund, Sweden); Volker RW Schaa (GSI, Darmstadt, Germany) |
| ISBN |
978-3-95450-185-4 |
| Published |
August 2016 |
| Copyright |
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