Matched Distributions in Cyclotrons with Higher Order Moments of the Charge Distribution

by Mr Mathias Frey (ETH)

Wednesday 25 Nov 2015, 16:30 → 17:30 Asia/Tokyo

203 (RIBF building)

This paper covers the topic of finding matched, i.e. stationary, distributions for coasting beams, taking 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 compared and benchmarked with the well-known linear theory applied to the PSI Injector-2 and the Ring cyclotron. Non-linear matching is demonstrated on a theoretical example. Open questions such as constraining the higher order moments will be discussed as well as applications beyond cyclotrons and in particular the use in particle core models.