Experimental Generation and Analysis of the Fractional Hankel-Bessel Vortex Beams via Computational Holography

The experimental generation of any type of structured optical beam requires advanced techniques and optoelectronic instruments of the highest efficiency and reliability. In this sense, in the investigation of structured light beams with orbital angular momentum, called optical vortex, these techniques are necessary to describe and characterize these beams, so that more advanced applications can be performed with greater precision and safety. In this work, the Hankel-Bessel vortex was investigated considering integer and fractional topological charges using the holographic technique. For this, computer-generated holograms of these vortex were reproduced in a holographic setup and a spatial light modulator with the purpose of generating and characterizing this type of optical beam. All computational simulations of the intensity and phase profiles are described, as well as the experimental results of obtaining the intensity and phase profiles by means of a holographic interferometry method and their beam propagation along the z-axis. The experimental results are in agreement with the theoretical predictions simulated and described in the literature. Furthermore, these results present excellent prospects for applications using this optical vortex in various scientific areas, such as physics, biology, and material sciences, for example, in the optical manipulation of micro and nano particles through optical tweezers, optical microscopy, optical communications, and optical metrology.