Author: Bailey, I.R.
Paper Title Page
WEPNEC18
Analytic Longitudinal Phase Space Solutions for Multipass Energy Recovery Linacs  
 
  • P.H. Williams
    STFC/DL/ASTeC, Daresbury, Warrington, Cheshire, United Kingdom
  • I.R. Bailey, P.H. Williams
    Cockcroft Institute, Warrington, Cheshire, United Kingdom
  • I.R. Bailey
    Lancaster University, Lancaster, United Kingdom
  • T.K. Charles
    The University of Melbourne, Melbourne, Victoria, Australia
  • T.K. Charles
    CERN, Geneva, Switzerland
  • G. Perez-Segurana
    Cockcroft Institute, Lancaster University, Lancaster, United Kingdom
 
  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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