Airy-related beam generated from flat-topped Gaussian beams

A new kind of Airy-related beam has been obtained from Airy transform for flat-topped Gaussian beams. It is proved in this paper that this beam also possesses an "Airy" profile, quasi-diffraction-free character and transverse accelerating character as the Airy beam generated from the fundamental Gaussian beams. The propagation dynamics of this beam can be modulated by varying N, i.e., the beam order of the flat-topped Gaussian beam.