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A review of beam tomography research at Daresbury Laboratory

This is a review on beam tomography research at Daresbury. The research has focussed on development of normalised phase space techniques. It starts with the idea of sampling tomographic projections at equal phase advances and shows that this would give the optimal reconstruction results. This idea has influenced the design, construction and operation of the tomography sections at the Photo Injector Test Facility at Zeuthen (PITZ) and at the Accelerator and Laser in Combined Experiments (ALICE) at Daresbury. The theoretical justification of this idea is later developed through simulations and analysis of the measurements results at ALICE. The mathematical formalism is constructed around the normalised phase space and the idea of equal phase advances become the basis of this. This formalism is applied to a variety of experimental and simulated situations and shown to be useful in improving resolution, increasing reliability and providing diagnostic information. In this review, we also present the simplifying concepts, formalisms and simulation tools that we have developed.