THC02
PSI, Villigen PSI, Switzerland
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THC02 |
Matched Distributions with Linear and Non-Linear Space Charge | |
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| This paper covers the topic of finding matched, i.e. stationary, distributions for coasting beams that takes into account higher order moments of the charge distribution. We present a general approach based on Lie-Algebra and Truncated-Power-Series Algebra, where the non-linear space-charge maps up to k-th order are constructed. The physical input parameters are intensity, projected emittances, and the energy. Our general approach is firstly compared and benchmarked with the well-known linear theory applied to the PSI Injector-2, the Ring Cyclotron and the IsoDAR machine. Secondly we compared the non-linear approach to PIC calculations. Open questions such as constraining the higher order moments will be discussed as well as applications beyond cyclotrons. | ||
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Slides THC02 [2.247 MB] | |
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