Numerical modeling of the beams generated from an ultra-wide bandwidth pulse-driven dipole array is considered. Several multi-derivative systems are simulated with these numerical results. The analytic performance bounds on energy, intensity, and beam width of the pulsed beams generated by the pulse driven array are derived. Numerical comparisons are made between the pulsed beams generated by driving the dipole array with monochromatic continuous waves with two distinctive amplitude tapers, Gaussian pulses with two distinctive amplitude tapers, and three types of localized waves. The specific localized waves used include the modified power spectrum pulse and the 1/2 and 3/2 superluminal pulses. The energy pattern of the pulse-driven dipole array is studied for each of these cases. The effect of element density on these energy patterns is also examined. The results obtained show that the modified power spectrum pulse truly outperforms the monochromatic continuous wave by a wide margin for multi-derivative systems
