| Paper | Title | Page |
|---|---|---|
| TUPD021 | Method to Extract Transfer Maps in the Presence of Space Charge in Charged Particle Beams | 1967 |
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This research involves a method for combining the intricate diagnostic tools for calculating quantities of interest such as tunes, dispersion and resonances from the single particle map of the system, with an accurate approximation of space charge effects on the beam. The space charge calculation involves a novel method of potential integration which allows for rapid Taylor expansion around singularities. This will allow for an accurate computation of space charge induced tune shifts and resonances, as well as allowing for experimental setups to discriminate between space charge caused issues, and lattice caused issues. The code used was COSY Infinity 9.0 which uses Differential Algebras to determine numerical derivatives to arbitrary order, and Normal Form methods to extract information from the map. The effects of space charge are added to the map using Strang splitting. External confounding factors such as the earths magnetic field are also addressed. |