In this work, a flat dielectric graded refractive index lens is presented as an interesting and easy-to-build alternative to implementing an Impulse Radiating Antenna (IRA), in order to replace the conventional parabolic metal dish. The equal-time approach is applied in the lens' design stage to obtain the desired plane wavefront, required in IRA applications. Time-domain, full-wave simulation results of the complete antenna system are presented and discussed.