Airy complex variable function Gaussian beams

We have presented a novel family of paraxial laser beams, which are called Airy complex variable function Gaussian (ACVF–Gaussian) beams. The ACVF–Gaussian beams are formed by the product of an Airy complex variable function and a Gaussian function. Unlike Airy–Gaussian beams, which are nondiffracting, the ACVF–Gaussian beams, which have a rotating phase term are diffracting and rotating. The rotating velocity decreases when the propagation distance increases. We have analyzed the evolution of the Poynting vector and angular momentum density of the ACVF–Gaussian beams as they propagate in free space.