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A novel dual-band circularly polarised patch feed antenna is presented. It is theoretically analysed and simulated. It is optimised with a genetic algorithm (GA) which is capable of producing an antenna design that has a low voltage standing wave ratio (VSWR), low cross-polarisation and large bandwidths but small dimensions. A hybrid finite-element method/method of moment model was used to simulate the proposed antenna in which 1.54% axial ratio bandwidth was obtained. Both the effectiveness of the optimisation methodology and the proposed antenna configuration have been scrutinised by simulation and theoretical analysis.