Optical generation of superluminal localized wave solutions of homogeneous wave equation

The feasibility of localized waves - the best approximation to non-diffracting, spatially and temporally localized "light bullets" in vacuum - has been discussed over the past two decades. Recently the first experimental evidence of their generation has been published. In this paper we propose an optical setup for launching optical superluminal localized waves that take advantage of the diffraction properties of a special optical element - cylindrical diffraction grating.