Civil supersonic transport represents the new aviation frontier. Noise regulations constitute the main obstacle to the born of such transport system. Many new engine concepts capable of overcoming such a constrain have been studied. Some preliminary studies suggested that an engine equipped with a fan capable of accepting supersonic inflow could be a suitable and competitive configuration for this market. A supersonic through-flow rotor has been tested by NASA in order to understand the main characteristics and limits of this peculiar concept. Aim of the thesis is to model and optimise the supersonic through-flow rotor focussing on the effects of geometry variations on performance.