The use of differential evolution (DE) is investigated for the optimization of a novel rocket based combined cycle (RBCC) engine inlet, over the supersonic flight regime.An RBCC engine is designed to incorporate the advantages of both rocket propulsion and airbreathing engines. This novel design is the result of ongoing research, at Carleton University, to improve the efficiency of future single stage to orbit engine designs. This novel inlet design, referred to as the exchange inlet, is designed to entrain air using a semi-annular rocket-ejector exhaust profile. The purpose of the exchange inlet is to increase the air mass flow and air/fuel mixing over existing rocket ejector/RBCC designs. In addition, by using a single circular rocket throat the exchange inlet is designed to be compatible with existing rockets.