Simulation of a laser diagnostics to detect the string configuration of an ion beam in a storage ring

Simulation of a laser diagnostics for detection of ordered structures in an ion beam is shown with reference to presently operating or under design storage rings in which laser cooling is implemented. The diagnostics, however, could potentially be extended to any storage ring. The method is capable to firmly resolve ordering of an ion string with currently available technology in a non-destructive way. Information concerning short-range correlation can be also inferred for very cold but not crystalline ion beams - a condition that is more likely to be reached in presently operating storage rings.