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A mixed model of two-dimensional (2D) genetic algorithm (GA) and finite-difference time-domain (FDTD) is applied to the automatic design of band-notched ultra-wideband (UWB) planar antennas of a finite size. The geometric shape of a band-notched UWB antenna is constructed by the method. Measured return losses, radiation patterns and gains are in good agreement with the designed ones. These results illustrate that the method is valid and a new band- notched UWB antenna is designed successfully in the designated small size.