Longitudinal phase space tomography and its implementation in energy recovery linacs

Applying tomographic techniques to study the longitudinal phase space of the electron beam in future energy recovery linacs presents a challenge as it requires nondestructive diagnostics and the manipulations of the phase space are restricted by the energy recovery. The different methods of tomographic reconstruction and previous experiments at the BNL DUV-FEL facility are presented. Different schemes to utilize tomography for an ERL are proposed, including non-destructive transverse and longitudinal beam profile measurements and the necessary phase space transformations to generate the tomographic projections.