Spectral analysis of the Airy pulsed beam

The Airy beam (AiB) has attracted a lot of attention recently because of its intriguing features such as propagation along curved trajectories in free-space and the weak difraction. Here we derive a class of ultra wide band (UWB) Airy pulsed beams (AiPB) which are the extension of the AiB into the time domain. We introduce a frequency scaling that renders the ray skeleton of the feld frequency independent, thus insuring that the resulting AiPB is non-dispersive and preserves the intriguing features of the time-harmonic AiB. An exact closed form solution for the AiPB is derived using the spectral theory of transients (STT).