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WEPNEC18 |
Analytic Longitudinal Phase Space Solutions for Multipass Energy Recovery Linacs | |
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The longitudinal solution space of an energy recovery linac is an under-constrained system. For applications where we wish to compress the bunches for delivery to, for example, a free-electron laser or an interaction point, and simultaneously ensure full recovery it is useful to be able to rapidly ascertain and assess the possible solutions. Moreover, when we consider multi-pass ERLS, we quickly conclude that a trial-and-error approach to deriving such solutions (through for example one-dimensional particle tracking) is impractical. Here we extend an analytic recurrence method of deriving phase space solutions in multistage compression schemes, due to Zagorodnov & Dohlus, to multi-pass energy recovery linac systems. We use this method to categorise classes of solutions, and explore the implications of the energy recovery condition. | ||
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