Tomographic reconstruction of transverse and longitudinal phase space distributions using the maximum entropy algorithm

The Maximum Entropy criterion can be utilised for tomographic reconstruction of two-dimensional distributions from a set of one-dimensional projection profiles. In terms of entropy the reconstructed distributions represent the most probable solution which reproduces the experimental input data. Therefore the Maximum Entropy (MENT) algorithm is especiallysuited in case of incompleteness of information. Reconstruction artefacts due to the lack of information are minimised. The MENT algorithm has been adapted for the reconstructionof the transverse and longitudinal phase space distributions at particle accelerators allowing a determination of crucial beam parameters. Only one-dimensinonal intensity profilesfor different beam transfer matrices have to be measured. These profiles can be obtained from diverse standard monitoring devices, e.g. wirescanners or optical transition radiation stations. Besides the application for transverse phase space tomography only dealing with linear transformations, the algorithm has also been adopted for tomographic reconstruction of the longitudinal phase space where non-linear transformations have to be taken into account. Technically, the MENT algorithm has been implemented and verifiedin the physics analysis frame work of ROOT [1]. The applied user interface provides a generalised, very simple access to the full functionality of the algorithm and its results