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In this paper we perform a fusion between two important theoreticalmethodologies, one related to the Frozen Wave beams, which are non-diffractingbeams whose longitudinal intensity pattern can be chosen a priori in an medium(absorbing or not), and the other related to the Airy-Type pulses, which arepulses resistant to dispersion effects in dispersive materials. As a result, anew method emerges, capable of providing vortex pulses resistant to threeconcomitant effects, i.e.: diffraction, dispersion and attenuation; whileconcurrently the spatial variation of the wave intensity along its axis ofpropagation can be engineered at will. The new approach can be seen as ageneralization of the Localized Waves theory in the paraxial regime and the newpulses can have potential applications in different fields such as opticscommunications, nonlinear optics, micromanipulation, and so on.

Fusion Between Frozen-Wave-Type Beams and Airy-Type Pulses: Diffraction-Dispersion-Attenuation Resistant Vortex Pulses in Absorbing Media